url string | fetch_time int64 | content_mime_type string | warc_filename string | warc_record_offset int32 | warc_record_length int32 | text string | token_count int32 | char_count int32 | metadata string | score float64 | int_score int64 | crawl string | snapshot_type string | language string | language_score float64 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
https://www.yaclass.in/p/mathematics-state-board/class-9/algebra-3105/slope-and-intercept-of-a-line-5203/re-3de6cc34-28be-4697-9e9b-9b3d54972002 | 1,611,467,959,000,000,000 | text/html | crawl-data/CC-MAIN-2021-04/segments/1610703547333.68/warc/CC-MAIN-20210124044618-20210124074618-00445.warc.gz | 1,072,465,743 | 7,677 | ### Theory:
Let us draw the graph of the equation using the coordinates of $$x$$ and $$y$$-intercepts.
The graph can be obtained by plotting the $$x$$ and $$y$$-intercepts and then drawing a line joining these points.
Example:
Draw the graph of the equation $$4y-3x = 6$$ using the $$x$$ and $$y$$-intercepts.
Solutio... | 317 | 854 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.46875 | 4 | CC-MAIN-2021-04 | longest | en | 0.836454 |
https://www.gradesaver.com/textbooks/math/algebra/elementary-and-intermediate-algebra-concepts-and-applications-6th-edition/chapter-5-polynomials-and-factoring-5-5-factoring-sums-or-differences-of-cubes-5-5-exercise-set-page-338/46 | 1,539,673,425,000,000,000 | text/html | crawl-data/CC-MAIN-2018-43/segments/1539583510019.12/warc/CC-MAIN-20181016051435-20181016072935-00531.warc.gz | 956,458,403 | 14,195 | ## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
$(a^3-b^4c^5)(a^6+a^3b^4c^5+b^8c^{10})$
Using $a^3+b^3=(a+b)(a^2-ab+b^2)$ or the factoring of 2 cubes, the factored form of the given expression, $a^{9}+b^{12}c^{15} ,$ is \begin{array}{l} (a^3-b^4c^5)[ (a^3)^2-(a^3)(-b^4c^5)+(-b^4c^5)^2] \\... | 186 | 374 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.0625 | 4 | CC-MAIN-2018-43 | longest | en | 0.602835 |
https://analyzemath.com/trigonometry/sine.htm | 1,695,806,198,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233510284.49/warc/CC-MAIN-20230927071345-20230927101345-00480.warc.gz | 102,100,009 | 10,010 | # Sine Function sin x
## Definition and Graph of the Sine Function
We first consider angle ? with initial side on the positive x axis (in standard position) and terminal side OM as shown below.
The sine function is defined as
$\sin(\theta) = \dfrac{y}{r}$
where $r \$ is the distance from the origin O to any point M ... | 1,403 | 5,128 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.625 | 5 | CC-MAIN-2023-40 | latest | en | 0.834031 |
https://math.stackexchange.com/questions/767888/math-for-future-value-of-growing-annuity | 1,597,311,740,000,000,000 | text/html | crawl-data/CC-MAIN-2020-34/segments/1596439738964.20/warc/CC-MAIN-20200813073451-20200813103451-00073.warc.gz | 395,301,204 | 34,016 | Math for Future Value of Growing Annuity
Am I working this out correctly? I need to verify that my code is correct...
$$1000 \cdot \left(\frac{(1 + 0.1 / 12)^{40 * 12} - (1 + 0.06 / 12)^{40 * 12}}{(0.1 / 12) - (0.06 / 12)}\right)$$
Something like this:
53.700663174244 - 10.957453671655 ( = 42.7432095026 )
/
0.00833... | 1,030 | 3,194 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.0625 | 4 | CC-MAIN-2020-34 | latest | en | 0.778724 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-1-common-core-15th-edition/chapter-8-polynomials-and-factoring-chapter-review-page-537/51 | 1,685,266,500,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224643663.27/warc/CC-MAIN-20230528083025-20230528113025-00098.warc.gz | 881,314,541 | 13,921 | ## Algebra 1: Common Core (15th Edition)
$(d-15)(d-3)$
To factor a trinomial in the form $d^2+bd+c$, we must find two numbers whose product is $c$ and whose sum is $b$. We then insert these two numbers into the blanks of the factors $(d+\_)(d+\_)$. In the case of $d^2-18d+45$, we are looking for two numbers whose prod... | 178 | 544 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.46875 | 4 | CC-MAIN-2023-23 | latest | en | 0.83866 |
http://mathhelpforum.com/algebra/25170-havent-clue.html | 1,481,277,357,000,000,000 | text/html | crawl-data/CC-MAIN-2016-50/segments/1480698542693.41/warc/CC-MAIN-20161202170902-00131-ip-10-31-129-80.ec2.internal.warc.gz | 177,096,299 | 11,044 | 1. ## havent a clue!
havent a clue!
6x2+x-15=0
2. Originally Posted by jenko
havent a clue!
6x2+x-15=0
Let's try this using the method I posted in your other thread.
Mulitply 6 and -15: -90
Now list all pairs of factors of -90:
1, -90
2, -45
3, -30
6, -15
9, -10
10, -9
15, -6
30, -3
45, -2
90, -1
Now which of th... | 526 | 1,500 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2016-50 | longest | en | 0.93816 |
http://gmatclub.com/forum/if-c-and-d-are-positive-is-d-an-integer-136173.html?fl=similar | 1,484,892,105,000,000,000 | text/html | crawl-data/CC-MAIN-2017-04/segments/1484560280791.35/warc/CC-MAIN-20170116095120-00438-ip-10-171-10-70.ec2.internal.warc.gz | 114,271,620 | 57,905 | If c and d are positive, is d an integer ? : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 19 Jan 2017, 22:01
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performa... | 1,363 | 4,517 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.125 | 4 | CC-MAIN-2017-04 | latest | en | 0.854338 |
https://studywell.com/maths/pure-maths/algebra-functions/simultaneous-equations/ | 1,619,023,336,000,000,000 | text/html | crawl-data/CC-MAIN-2021-17/segments/1618039546945.85/warc/CC-MAIN-20210421161025-20210421191025-00545.warc.gz | 639,851,267 | 18,208 | Simultaneous equations can be thought of as being two equations in two unknowns, say x and y. Note that the word simultaneous means ‘at the same time’. It follows that for the values of x and y found both equations must be true at the same time. Sometimes it is easy to inspect the equations and guess the answers. Howev... | 865 | 3,290 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 27, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.6875 | 5 | CC-MAIN-2021-17 | latest | en | 0.943614 |
http://mathhelpforum.com/pre-calculus/194884-few-complex-number-problems-print.html | 1,527,164,855,000,000,000 | text/html | crawl-data/CC-MAIN-2018-22/segments/1526794866276.61/warc/CC-MAIN-20180524112244-20180524132244-00306.warc.gz | 180,620,183 | 2,865 | # A few complex number problems
• Jan 3rd 2012, 08:19 AM
Lemons123
A few complex number problems
I have attempted to solve it but arrive at either no solution or a solution much different from the textbook's.
1. If w = $\displaystyle \frac{z + 1}{z - 1}$ and |z| = 1, find Re(w).
I plugged in a + bi for z and attempt... | 520 | 1,404 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.46875 | 4 | CC-MAIN-2018-22 | latest | en | 0.768415 |
https://www.physicsforums.com/threads/parabolas-math-problem.69163/ | 1,519,604,389,000,000,000 | text/html | crawl-data/CC-MAIN-2018-09/segments/1518891817523.0/warc/CC-MAIN-20180225225657-20180226005657-00012.warc.gz | 948,129,098 | 14,586 | # Parabolas math problem
1. Mar 29, 2005
### vitaly
I'm having difficulty with this question. All help is appreciated.
*The cross section of television antenna dish is a parabola and the receiver is located at the focus.
A. If the receiver is located 5 feet above the vertex, assume the vertex is the origin, find a... | 412 | 1,373 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.09375 | 4 | CC-MAIN-2018-09 | longest | en | 0.97706 |
http://mathhelpforum.com/math-topics/29155-test-average.html | 1,481,365,221,000,000,000 | text/html | crawl-data/CC-MAIN-2016-50/segments/1480698543030.95/warc/CC-MAIN-20161202170903-00057-ip-10-31-129-80.ec2.internal.warc.gz | 169,752,222 | 10,475 | # Thread: test average
1. ## test average
You have an 85% average in math after 2 tests. If you score a 40% on this test, what will your new average be?
2. Originally Posted by DINOCALC09
You have an 85% average in math after 2 tests. If you score a 40% on this test, what will your new average be?
lets count by poin... | 279 | 897 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.0625 | 4 | CC-MAIN-2016-50 | longest | en | 0.886609 |
https://mathspace.co/textbooks/syllabuses/Syllabus-866/topics/Topic-19453/subtopics/Subtopic-260240/?textbookIntroActiveTab=guide | 1,638,669,259,000,000,000 | text/html | crawl-data/CC-MAIN-2021-49/segments/1637964363134.25/warc/CC-MAIN-20211205005314-20211205035314-00231.warc.gz | 481,302,208 | 44,471 | # 6.06 Sales tax and tip
Lesson
Two ways that percentages are commonly used in the U.S. are when calculating the amount of sales tax we will need to pay for purchasing an item and when calculating the proper tip to leave the waitstaff at a restaurant. Interestingly, we will find that in different parts of the United... | 517 | 1,915 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.6875 | 5 | CC-MAIN-2021-49 | latest | en | 0.902603 |
https://trizenx.blogspot.com/2013/11/smart-word-wrap.html | 1,721,119,345,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763514742.26/warc/CC-MAIN-20240716080920-20240716110920-00654.warc.gz | 516,361,589 | 30,066 | ### Smart Word Wrap
Recursion? Oh, we all love it!
This post will try to illustrate how useful the recursion is and how complicated it can get sometimes.
We, programmers, use recursion frequently to create small and elegant programs which can do complicated things.
Just think about how would you split the following ... | 1,169 | 4,483 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.28125 | 4 | CC-MAIN-2024-30 | latest | en | 0.902383 |
http://tasks.illustrativemathematics.org/content-standards/5/NF/B/tasks/882 | 1,669,927,274,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446710869.86/warc/CC-MAIN-20221201185801-20221201215801-00360.warc.gz | 53,922,992 | 9,511 | # Painting a Wall
Alignments to Content Standards: 5.NF.B
Nicolas is helping to paint a wall at a park near his house as part of a community service project. He had painted half of the wall yellow when the park director walked by and said,
This wall is supposed to be painted red.
Nicolas immediately started paintin... | 534 | 2,339 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.96875 | 5 | CC-MAIN-2022-49 | latest | en | 0.959912 |
https://www.hackmath.net/en/math-problem/14451?tag_id=38 | 1,582,599,115,000,000,000 | text/html | crawl-data/CC-MAIN-2020-10/segments/1581875146004.9/warc/CC-MAIN-20200225014941-20200225044941-00369.warc.gz | 751,669,500 | 8,833 | # Plot
The land is in the shape of a square with a dimension of 22 meters. How much will we pay for the fence around the entire plot?
Result
x = 1760 Eur
#### Solution:
$a = 22 \ m \ \\ o = 4 \cdot \ a = 4 \cdot \ 22 = 88 \ m \ \\ \ \\ x = 20 \cdot \ o = 20 \cdot \ 88 = 1760 = 1760 \ \text{ Eur }$
Our examples w... | 988 | 3,652 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 1, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.5 | 4 | CC-MAIN-2020-10 | latest | en | 0.907034 |
https://www.esaral.com/q/a-1-2-3-5-and-b-4-6-9-61019 | 1,718,864,890,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861883.41/warc/CC-MAIN-20240620043158-20240620073158-00422.warc.gz | 664,973,354 | 11,309 | A = {1, 2, 3, 5} and B = {4, 6, 9}.
Question:
$A=\{1,2,3,5\}$ and $B=\{4,6,9\}$. Define a relation $R$ from $A$ to $B$ by $R=\{(x, y)$ : the difference between $x$ and $y$ is odd; $x \in A, y \in B\}$. Write $R$ in roster form.
Solution:
$A=\{1,2,3,5\}$ and $B=\{4,6,9\}$
$\mathrm{R}=\{(x, y):$ the difference betwe... | 221 | 443 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.125 | 4 | CC-MAIN-2024-26 | latest | en | 0.691692 |
https://artofproblemsolving.com/wiki/index.php?title=1984_AIME_Problems/Problem_15&oldid=177838 | 1,679,824,089,000,000,000 | text/html | crawl-data/CC-MAIN-2023-14/segments/1679296945440.67/warc/CC-MAIN-20230326075911-20230326105911-00164.warc.gz | 142,200,166 | 13,497 | # 1984 AIME Problems/Problem 15
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
Determine $x^2+y^2+z^2+w^2$ if
$\frac{x^2}{2^2-1}+\frac{y^2}{2^2-3^2}+\frac{z^2}{2^2-5^2}+\frac{w^2}{2^2-7^2}=1$
$\frac{x^2}{4^2-1}+\frac{y^2}{4^2-3^2}+\frac{z^2}{4^2-5^2}+\frac{w^2}{4^2-7^2}=1$
$\f... | 2,453 | 5,298 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 48, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.53125 | 5 | CC-MAIN-2023-14 | latest | en | 0.591988 |
http://nrich.maths.org/public/leg.php?code=12&cl=3&cldcmpid=5956 | 1,475,199,298,000,000,000 | text/html | crawl-data/CC-MAIN-2016-40/segments/1474738661974.78/warc/CC-MAIN-20160924173741-00044-ip-10-143-35-109.ec2.internal.warc.gz | 195,991,728 | 10,065 | # Search by Topic
#### Resources tagged with Factors and multiples similar to Zeller's Birthday:
Filter by: Content type:
Stage:
Challenge level:
### There are 93 results
Broad Topics > Numbers and the Number System > Factors and multiples
### Substitution Transposed
##### Stage: 3 and 4 Challenge Level:
Substit... | 2,267 | 8,676 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.03125 | 4 | CC-MAIN-2016-40 | longest | en | 0.845941 |
https://artofproblemsolving.com/wiki/index.php?title=2009_AMC_8_Problems/Problem_18&diff=prev&oldid=50346 | 1,638,639,487,000,000,000 | text/html | crawl-data/CC-MAIN-2021-49/segments/1637964362999.66/warc/CC-MAIN-20211204154554-20211204184554-00619.warc.gz | 187,885,290 | 11,098 | # Difference between revisions of "2009 AMC 8 Problems/Problem 18"
The diagram represents a $7$-foot-by-$7$-foot floor that is tiled with $1$-square-foot black tiles and white tiles. Notice that the corners have white tiles. If a $15$-foot-by-$15$-foot floor is to be tiled in the same manner, how many white tiles will... | 563 | 1,322 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 18, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.4375 | 4 | CC-MAIN-2021-49 | latest | en | 0.559897 |
http://mathhelpforum.com/calculus/204090-epsilon-delta-proof-2-variable-limit.html | 1,527,359,718,000,000,000 | text/html | crawl-data/CC-MAIN-2018-22/segments/1526794867841.63/warc/CC-MAIN-20180526170654-20180526190654-00615.warc.gz | 177,012,545 | 10,626 | # Thread: epsilon delta proof for 2 variable limit
1. ## epsilon delta proof for 2 variable limit
Hey I need to show that the limit(x,y)->(0,0) of xy / sqrt(x^2 + y^2) = 0. I'm not sure how to start manipulating this as I haven't gotten anything useful yet. Some help to get me going would be nice. Thanks
2. ## Re: e... | 922 | 2,882 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.03125 | 4 | CC-MAIN-2018-22 | latest | en | 0.7674 |
http://mathhelpforum.com/calculus/108880-calculus-word-problem-help-plz.html | 1,529,888,120,000,000,000 | text/html | crawl-data/CC-MAIN-2018-26/segments/1529267867304.92/warc/CC-MAIN-20180624234721-20180625014721-00179.warc.gz | 198,440,104 | 9,795 | # Thread: calculus word problem, help plz?
1. ## calculus word problem, help plz?
AP Calculus help anyone?
1.Use the position function s(t) = -16(t)^2 + vo(t) + so for free- falling objects.
Question - A ball is thrown straight down from the top of a 220-foot building with an initial velocity of -22 feet per second.... | 464 | 1,745 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2018-26 | latest | en | 0.884583 |
https://onlinecalculator.guru/points-formulas/ | 1,632,847,158,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780060877.21/warc/CC-MAIN-20210928153533-20210928183533-00365.warc.gz | 485,831,825 | 6,163 | # Points Formulas
Points Formulas play a crucial role in understanding the concept. Memorize the Points Formula by heart and solve basic and advanced problems too easily. We have compiled a good collection of all the Important Formulae for Points to help you understand the concept better. Apply the Formulas in your ca... | 1,143 | 3,304 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.59375 | 5 | CC-MAIN-2021-39 | latest | en | 0.85422 |
https://www.physics-in-a-nutshell.com/article/44/classification-of-differential-equations | 1,725,756,872,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700650926.21/warc/CC-MAIN-20240907225010-20240908015010-00128.warc.gz | 909,495,363 | 9,884 | Physics in a nutshell
$\renewcommand{\D}[2][]{\,\text{d}^{#1} {#2}}$ $\DeclareMathOperator{\Tr}{Tr}$
# Classification of Differential Equations
A differential equation is an equation that contains an unknown function and at least one of its derivatives.
## Order of the Differential Equation
The order of the differ... | 798 | 3,007 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.375 | 4 | CC-MAIN-2024-38 | latest | en | 0.887709 |
http://mathhelpforum.com/algebra/107747-find-inverse-function.html | 1,480,801,723,000,000,000 | text/html | crawl-data/CC-MAIN-2016-50/segments/1480698541140.30/warc/CC-MAIN-20161202170901-00255-ip-10-31-129-80.ec2.internal.warc.gz | 177,524,886 | 10,232 | 1. ## find inverse function
$f(x) = 5(x-2)^3 - 6$
Could someone help me find the inverse function for this function?
I understand these steps:
Set f(x) to y
$y = 5(x-2)^3 - 6$
Swap x and y
$x = 5(y-2)^3 - 6$
I think I'm supposed to solve for Y, but I'm not sure how to continue.
2. Originally Posted by absvalue
$... | 448 | 1,149 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 16, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.5 | 4 | CC-MAIN-2016-50 | longest | en | 0.784073 |
https://artofproblemsolving.com/wiki/index.php/2003_AMC_12B_Problems/Problem_3 | 1,702,042,052,000,000,000 | text/html | crawl-data/CC-MAIN-2023-50/segments/1700679100745.32/warc/CC-MAIN-20231208112926-20231208142926-00271.warc.gz | 134,561,003 | 11,846 | # 2003 AMC 10B Problems/Problem 4
The following problem is from both the 2003 AMC 12B #3 and 2003 AMC 10B #4, so both problems redirect to this page.
## Problem
Rose fills each of the rectangular regions of her rectangular flower bed with a different type of flower. The lengths, in feet, of the rectangular regions i... | 539 | 1,480 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 18, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.71875 | 5 | CC-MAIN-2023-50 | latest | en | 0.710934 |
thmosqueiro.vandroiy.com | 1,680,091,797,000,000,000 | text/html | crawl-data/CC-MAIN-2023-14/segments/1679296948976.45/warc/CC-MAIN-20230329120545-20230329150545-00259.warc.gz | 45,773,489 | 6,848 | # Break a stick in two random points, can you then build a triangle?
Here is an interesting problem that involves probability. Can you guess the answer?
Consider a stick of length 1. Select two points uniformly at random on the stick and break the stick at those points. What is the probability that the three segments... | 1,152 | 5,106 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.125 | 4 | CC-MAIN-2023-14 | longest | en | 0.961344 |
https://teachingcalculus.com/2012/10/10/related-rate-problems-ii/?like_comment=135702&_wpnonce=0e9bbe45c4 | 1,670,358,186,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446711114.3/warc/CC-MAIN-20221206192947-20221206222947-00358.warc.gz | 596,911,618 | 28,830 | # Related Rate Problems II
If you look in most textbooks for related rate questions you will find pretty much the same related rate problems: ladders sliding down walls, people walking away from lamppost, water running into or out of cone shaped tanks, etc.
Here are two somewhat different related problems you may lik... | 1,563 | 6,017 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 6, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.375 | 4 | CC-MAIN-2022-49 | latest | en | 0.934842 |
https://www.yaclass.in/p/science-cbse/class-9/force-and-laws-of-motion-6590/re-aea7e39b-aea2-4a0f-92c3-9b617c29ef9f | 1,627,081,538,000,000,000 | text/html | crawl-data/CC-MAIN-2021-31/segments/1627046150067.51/warc/CC-MAIN-20210723210216-20210724000216-00021.warc.gz | 1,143,594,900 | 8,667 | ### Theory:
Imagine a block is placed on the table as shown in the below image. Two strings $$X$$ and $$Y$$ are tied to the two opposite surfaces of the block, as shown. If we apply a force on the block by pulling the string $$X$$, it begins to move towards the right. Similarly, if we pull the string along $$Y$$, the ... | 574 | 2,572 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2021-31 | latest | en | 0.933074 |
http://mathhelpforum.com/calculus/220319-what.html | 1,529,366,611,000,000,000 | text/html | crawl-data/CC-MAIN-2018-26/segments/1529267861456.51/warc/CC-MAIN-20180618222556-20180619002556-00131.warc.gz | 200,731,760 | 9,958 | # Thread: What is this?
1. ## What is this?
A friend of mine gave this to me as a challenge. I almost have no clue what I'm supposed to do
he says "Solve for the following equation for f(x)"
$\displaystyle f(x) = x + \lambda \int_0^1 f(\xi) \,\,d \xi$
can anyone tell me what type of problem this is so I can do a b... | 623 | 2,033 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.1875 | 4 | CC-MAIN-2018-26 | latest | en | 0.904034 |
https://cracku.in/16-from-a-triangle-abc-with-sides-of-lengths-40-ft-25-x-cat-2017-shift-1-quant | 1,725,717,234,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700650883.10/warc/CC-MAIN-20240907131200-20240907161200-00575.warc.gz | 170,742,891 | 31,466 | Question 16
# From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is
Solution
The lengths are given as 40, 25 and 35.
The perimeter = 100
Semi-perimeter, s = 50
Area = $$\... | 221 | 764 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.03125 | 4 | CC-MAIN-2024-38 | latest | en | 0.857275 |
https://math.stackexchange.com/questions/851072/theorem-on-giuga-number/851114 | 1,561,549,511,000,000,000 | text/html | crawl-data/CC-MAIN-2019-26/segments/1560628000306.84/warc/CC-MAIN-20190626114215-20190626140215-00312.warc.gz | 522,635,721 | 34,745 | # Theorem on Giuga number
Giuga number : $n$ is a Giuga number $\iff$ For every prime factor $p$ of $n$ , $p | (\frac{n}{p}-1)$
How to prove the following theorem on Giuga numbers
$n$ is a giuga number $\iff$ $\sum_{i=1}^{n-1} i^{\phi(n)} \equiv -1 \mod {n}$
## 1 Answer
The $\Rightarrow$ part. For first, a giuga n... | 504 | 1,311 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2019-26 | latest | en | 0.746232 |
https://ktbssolutions.com/1st-puc-maths-question-bank-chapter-15/ | 1,726,227,793,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700651513.89/warc/CC-MAIN-20240913101949-20240913131949-00605.warc.gz | 314,476,098 | 23,606 | # 1st PUC Maths Question Bank Chapter 15 Statistics
Students can Download Maths Chapter 15 Statistics Questions and Answers, Notes Pdf, 1st PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.
## Karnataka 1st PUC Maths Questio... | 3,188 | 9,968 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.5625 | 5 | CC-MAIN-2024-38 | latest | en | 0.715737 |
https://socratic.org/questions/which-term-of-the-sequence-16-9-4-3-1-3-4-is-243-1024#204111 | 1,638,633,393,000,000,000 | text/html | crawl-data/CC-MAIN-2021-49/segments/1637964362999.66/warc/CC-MAIN-20211204154554-20211204184554-00548.warc.gz | 573,101,484 | 5,868 | # Which term of the sequence { 16/9, 4/3, 1, 3/4 ... } is 243/1024?
Dec 26, 2015
The $8$th
#### Explanation:
This is a geometric sequence with initial term $\frac{16}{9}$ and common ratio $\frac{3}{4}$.
The general term of the sequence can be written:
${a}_{n} = \frac{16}{9} \cdot {\left(\frac{3}{4}\right)}^{n - ... | 217 | 548 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 9, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.40625 | 4 | CC-MAIN-2021-49 | latest | en | 0.777094 |
http://openstudy.com/updates/510d8f12e4b09cf125bcb4da | 1,448,800,013,000,000,000 | text/html | crawl-data/CC-MAIN-2015-48/segments/1448398457799.57/warc/CC-MAIN-20151124205417-00081-ip-10-71-132-137.ec2.internal.warc.gz | 165,878,465 | 10,312 | ## 4meisu 2 years ago t = 2π √l/g Re-arrange to make g the subject.
1. zepdrix
$\large t=2\pi \frac{\sqrt \ell}{g}$Is that formatted correctly? With the way it's written, it's a little hard to tell whether or not you have the g placed in the square root.
2. zepdrix
If this is correct, here are the steps we would ta... | 538 | 1,560 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.59375 | 5 | CC-MAIN-2015-48 | longest | en | 0.767177 |
http://mathhelpforum.com/statistics/127619-help-probability-problem-print.html | 1,524,307,650,000,000,000 | text/html | crawl-data/CC-MAIN-2018-17/segments/1524125945111.79/warc/CC-MAIN-20180421090739-20180421110739-00208.warc.gz | 193,857,513 | 3,675 | # help on a probability problem
• Feb 7th 2010, 09:19 AM
ilc
help on a probability problem
Two cards are drawn from a deck of 52 plating cards. find the probability of each of the following events occurring:
a) both cards are clubs
b) both cards are red
c) both cards are queens
d) both cards are red queens
e) both ca... | 1,270 | 4,062 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.375 | 4 | CC-MAIN-2018-17 | latest | en | 0.956777 |
http://nbviewer.jupyter.org/github/demotu/BMC/blob/master/notebooks/OrdinaryDifferentialEquation.ipynb | 1,493,187,279,000,000,000 | text/html | crawl-data/CC-MAIN-2017-17/segments/1492917121165.73/warc/CC-MAIN-20170423031201-00254-ip-10-145-167-34.ec2.internal.warc.gz | 282,095,838 | 199,742 | # Ordinary Differential Equation¶
Marcos Duarte
An ordinary differential equation (ODE) is an equation containing a function of one independent variable and its derivatives.
Solve an ODE is finding such a function whose derivatives satisfy the equation. The order of an ODE refers to the order of the derivatives; e.g... | 4,258 | 11,777 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.53125 | 5 | CC-MAIN-2017-17 | longest | en | 0.891279 |
https://www.esaral.com/q/when-an-object-is-kept-at-a-distance-of-30-cm-from-a-concave-mirror-98056 | 1,718,816,756,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861828.24/warc/CC-MAIN-20240619154358-20240619184358-00722.warc.gz | 663,541,781 | 11,403 | # When an object is kept at a distance of 30 cm from a concave mirror,
Question:
When an object is kept at a distance of $30 \mathrm{~cm}$ from a concave mirror, the image is formed at a distance of $10 \mathrm{~cm}$ from the mirror. If the object is moved with a speed of $9 \mathrm{cms}^{-1}$, the speed (in $\mathrm... | 216 | 646 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.21875 | 4 | CC-MAIN-2024-26 | latest | en | 0.755377 |
http://mathhelpforum.com/algebra/187762-equation-line-print.html | 1,519,453,927,000,000,000 | text/html | crawl-data/CC-MAIN-2018-09/segments/1518891815435.68/warc/CC-MAIN-20180224053236-20180224073236-00498.warc.gz | 221,974,139 | 3,262 | # Equation Of The Line?
• Sep 11th 2011, 06:52 AM
MathsFreakLove
Equation Of The Line?
hi im new on here, (Hi)
i have two questions i am stuck on and would like your help :
here are the qestions:
1.the line y=1/4 x +2 meets the y axis at the point B. the point C has co ordinates (-5,3). find the gradient of the lin... | 708 | 2,466 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.0625 | 4 | CC-MAIN-2018-09 | longest | en | 0.898947 |
https://github.com/rangat/calculus-derivation-gradient-descent-data-science-intro-000 | 1,568,784,803,000,000,000 | text/html | crawl-data/CC-MAIN-2019-39/segments/1568514573184.25/warc/CC-MAIN-20190918044831-20190918070831-00325.warc.gz | 519,758,782 | 22,214 | No description, website, or topics provided.
Jupyter Notebook Python
This branch is 2 commits behind learn-co-students:master.
Fetching latest commit…
Cannot retrieve the latest commit at this time.
Type Name Latest commit message Commit time
Failed to load latest commit information.
.gitignore
.learn
3dx3y.png
CONTRIB... | 1,737 | 7,158 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.28125 | 4 | CC-MAIN-2019-39 | latest | en | 0.910848 |
https://www.storyofmathematics.com/fractions-to-decimals/17-37-as-a-decimal/ | 1,695,419,879,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233506423.70/warc/CC-MAIN-20230922202444-20230922232444-00789.warc.gz | 1,125,701,301 | 45,406 | # What Is 17/37 as a Decimal + Solution With Free Steps
The fraction 17/37 as a decimal is equal to 0.459.
The division of two numbers is usually shown as p $\boldsymbol\div$ q, where p is the dividend and q is the divisor. This is mathematically equivalent to the numeral p/q, called a fraction. In fractions, thoug... | 723 | 2,926 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.875 | 5 | CC-MAIN-2023-40 | longest | en | 0.925511 |
https://math.stackexchange.com/questions/2098138/how-to-lower-upper-bound-n-using-1x-leq-ex | 1,566,742,060,000,000,000 | text/html | crawl-data/CC-MAIN-2019-35/segments/1566027330233.1/warc/CC-MAIN-20190825130849-20190825152849-00074.warc.gz | 535,750,779 | 31,819 | # How to lower/upper bound $n!$ using $1+x\leq e^x$?
I need to prove for all positive integer $n$
$$e\left(\frac{n}{e}\right)^n\leq n!\leq en\left(\frac{n}{e}\right)^n,$$ using the hint $1+x\leq e^x$ for all $x\in \mathbb{R}$.
I did this:
The hint says
• for $x=0$, $1\leq 1$;
• for $x=1$, $2\leq e$;
• ...
• for $x... | 1,206 | 2,896 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.1875 | 4 | CC-MAIN-2019-35 | latest | en | 0.710207 |
https://socratic.org/questions/an-aqueous-solution-of-3-47-m-silver-nitrate-agno-3-has-a-density-of-1-47-g-ml-w | 1,643,229,480,000,000,000 | text/html | crawl-data/CC-MAIN-2022-05/segments/1642320304961.89/warc/CC-MAIN-20220126192506-20220126222506-00296.warc.gz | 578,383,109 | 6,535 | # An aqueous solution of 3.47 M silver nitrate, AgNO_3, has a density of 1.47 g/mL. What is percent by mass of AgNO_3 in the solution?
Nov 16, 2015
40.1%
#### Explanation:
Here's your strategy for this problem - you need to pick a sample volume of this solution, use the given density to find its mass, then the numb... | 496 | 1,614 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 10, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.65625 | 5 | CC-MAIN-2022-05 | latest | en | 0.804201 |
https://runestone.academy/ns/books/published/ac-single/sec-2-6-inverse.html | 1,723,634,175,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722641107917.88/warc/CC-MAIN-20240814092848-20240814122848-00777.warc.gz | 401,259,306 | 42,308 | # Active Calculus
## Section2.6Derivatives of Inverse Functions
Much of mathematics centers on the notion of function. Indeed, throughout our study of calculus, we are investigating the behavior of functions, with particular emphasis on how fast the output of the function changes in response to changes in the input. ... | 6,932 | 20,477 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.78125 | 5 | CC-MAIN-2024-33 | latest | en | 0.825868 |
https://wikimili.com/en/Covariance_and_contravariance_of_vectors | 1,632,466,891,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780057504.60/warc/CC-MAIN-20210924050055-20210924080055-00670.warc.gz | 640,717,740 | 41,944 | # Covariance and contravariance of vectors
Last updated
In multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain geometric or physical entities changes with a change of basis.
## Contents
In physics, a basis is sometimes thought of as a set of re... | 9,574 | 37,753 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 74, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.125 | 4 | CC-MAIN-2021-39 | latest | en | 0.938623 |
https://www.tutorialspoint.com/salma-takes-15-minutes-from-her-house-to-reach-her-school-on-a-bicycle-if-the-bicycle-has-a-speed-of-2-m-s-calculate-the-distance-between-her-ho | 1,670,508,175,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446711336.41/warc/CC-MAIN-20221208114402-20221208144402-00513.warc.gz | 1,051,186,812 | 10,008 | # Salma takes 15 minutes from her house to reach her school on a bicycle. If the bicycle has a speed of 2 m/s, calculate the distance between her house and the school.
#### Complete Python Prime Pack
9 Courses 2 eBooks
#### Artificial Intelligence & Machine Learning Prime Pack
6 Courses 1 eBooks
#### Java ... | 256 | 886 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2022-49 | latest | en | 0.856394 |
https://eng.libretexts.org/Bookshelves/Civil_Engineering/Book%3A_Fluid_Mechanics_(Bar-Meir)/03%3A_Review_of_Mechanics/3.6%3A_Angular_Momentum_and_Torque | 1,674,901,327,000,000,000 | text/html | crawl-data/CC-MAIN-2023-06/segments/1674764499541.63/warc/CC-MAIN-20230128090359-20230128120359-00721.warc.gz | 237,577,923 | 28,300 | # 3.6: Angular Momentum and Torque
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\n... | 904 | 2,692 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.0625 | 4 | CC-MAIN-2023-06 | latest | en | 0.511317 |
http://mathhelpforum.com/calculus/81202-lagrange-multiplier.html | 1,513,493,407,000,000,000 | text/html | crawl-data/CC-MAIN-2017-51/segments/1512948593526.80/warc/CC-MAIN-20171217054825-20171217080825-00600.warc.gz | 181,264,055 | 10,635 | 1. ## Lagrange Multiplier
Use the method of Lagrange multipliers to find the min value of:
$f(x, y) = 5x^2 - 4x^2$ subject to the constraint $g(x, y) = x^2 + y^2 = 9$
Here's what I have so far:
$f_x = 10x$
$f_y = -8y$
$g_x = 2x$
$g_y = 2y$
$10x = 2 \lambda x$
$-8y = 2 \lambda y$
$9 = x^2 + y^2$
$\frac{5x}{x} = \l... | 828 | 1,964 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 48, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.21875 | 4 | CC-MAIN-2017-51 | longest | en | 0.806863 |
http://mathhelpforum.com/algebra/91389-factorising-quadratic-equations-print.html | 1,511,510,121,000,000,000 | text/html | crawl-data/CC-MAIN-2017-47/segments/1510934807146.16/warc/CC-MAIN-20171124070019-20171124090019-00408.warc.gz | 185,477,330 | 3,072 | • Jun 1st 2009, 05:23 AM
Aaron01424
Hello, trying to factorise:
x^2-5x-6
So far i've got:
AC = -6, so x^2+x-6x-6 = x(x+1)-6(x+1)
Now getting to that point all makes sense to me, however in my textbook it says 'x+1 is a factor of both terms, so take that outside the bracket', leaving the answer as (x+1)(x-6). I don'... | 629 | 1,816 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 2, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.1875 | 4 | CC-MAIN-2017-47 | longest | en | 0.931332 |
https://www.tutorialspoint.com/p-find-the-lcm-of-45-and-86-p | 1,709,477,834,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947476396.49/warc/CC-MAIN-20240303142747-20240303172747-00049.warc.gz | 1,025,022,935 | 22,888 | # Find the LCM of 45 and 86.
Given:
45 and 86.
To do:
We have to find the LCM of 45 and 86.
Solution:
2 45, 86 3 45, 43 3 15, 43 5 5, 43 43 1, 43 1, 1
LCM of 45 and 86 $= 2\times 3\times3\times 5\times 43 = 90\times 43= 3870$.
Tutorialspoint
Simply Easy Learning
Updated on: 10-Oct-2022
40 Views | 140 | 307 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2024-10 | latest | en | 0.664783 |
https://gmatclub.com/forum/as-shown-in-the-figure-above-a-cylindrical-oil-tank-is-i-full-if-259351.html | 1,571,339,869,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570986675598.53/warc/CC-MAIN-20191017172920-20191017200420-00115.warc.gz | 518,098,673 | 147,220 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 17 Oct 2019, 12:17
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... | 1,386 | 4,398 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.125 | 4 | CC-MAIN-2019-43 | latest | en | 0.846029 |
https://www.macochi.com/pxhk8/discount-rate-formula-f61a72 | 1,620,807,430,000,000,000 | text/html | crawl-data/CC-MAIN-2021-21/segments/1620243991685.16/warc/CC-MAIN-20210512070028-20210512100028-00164.warc.gz | 889,259,709 | 15,584 | If you know the discounted price and the percentage discount, you can calculate the original price. Calculate discount rate with formula in Excel. This principle is known as the “time value of money.” We can see how the value of a given sum gradually decreases over time here. Also find the solved example questions give... | 8,564 | 39,329 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.0625 | 4 | CC-MAIN-2021-21 | latest | en | 0.926975 |
http://mathhelpforum.com/geometry/88138-spatial-geometry.html | 1,529,550,676,000,000,000 | text/html | crawl-data/CC-MAIN-2018-26/segments/1529267864019.29/warc/CC-MAIN-20180621020632-20180621040632-00383.warc.gz | 214,058,882 | 9,769 | # Thread: Spatial geometry
1. ## Spatial geometry
Calculate the volume of the octahedron whose edges are the segments connecting the centers of adjacent faces of a cube, in function on the edge of the cube.
2. Hello, Apprentice123!
Calculate the volume of the octahedron whose edges are the segments connecting
the c... | 756 | 2,212 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.25 | 4 | CC-MAIN-2018-26 | latest | en | 0.654738 |
https://engineering.stackexchange.com/questions/54395/how-much-force-is-needed-to-break-off-the-stick | 1,719,331,888,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198866143.18/warc/CC-MAIN-20240625135622-20240625165622-00431.warc.gz | 196,296,852 | 39,140 | # How much force is needed to break off the stick
Let's consider the following figure
The grey box contains a blue stick which is fixed. The blue stick has a length of $$a+b+c$$ and two diameters $$f,h$$. The diameter $$h$$ describes the part $$b$$ of the stick. The stick is fixed in the plane but the plane is not co... | 611 | 2,057 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.21875 | 4 | CC-MAIN-2024-26 | longest | en | 0.930916 |
https://www.doubtnut.com/question-answer/find-the-vector-equation-of-a-plane-passing-through-a-point-having-position-vector-2hati-hatj-hatk-a-69232706 | 1,631,896,455,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780055684.76/warc/CC-MAIN-20210917151054-20210917181054-00590.warc.gz | 783,840,376 | 73,131 | Home
>
English
>
Class 12
>
Maths
>
Chapter
>
The Plane
>
Find the vector equation of a ...
# Find the vector equation of a plane passing through a point having position vector (2hati-hatj+hatk) and perpendicular to the vector (4hati+2hatj-3hatk). Also, reduce it to Cartesian form.
Step by step solution b... | 652 | 1,611 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.21875 | 4 | CC-MAIN-2021-39 | longest | en | 0.547589 |
https://socratic.org/questions/how-do-you-evaluate-log-3-1-243 | 1,586,281,649,000,000,000 | text/html | crawl-data/CC-MAIN-2020-16/segments/1585371803248.90/warc/CC-MAIN-20200407152449-20200407182949-00398.warc.gz | 694,124,766 | 6,036 | # How do you evaluate log_3 (1/243)?
Oct 1, 2016
${\log}_{3} \left(\frac{1}{243}\right) = {\log}_{3} {3}^{-} 5 = - 5$
#### Explanation:
Logs and exponential equations become much easier to understand if you know the powers up to 1,00.
Note that $243 = {3}^{5}$
${\log}_{3} \left(\frac{1}{243}\right)$ is asking the... | 226 | 583 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 7, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.34375 | 4 | CC-MAIN-2020-16 | longest | en | 0.735874 |
http://mathhelpforum.com/pre-calculus/15159-functions.html | 1,529,474,462,000,000,000 | text/html | crawl-data/CC-MAIN-2018-26/segments/1529267863463.3/warc/CC-MAIN-20180620050428-20180620070428-00096.warc.gz | 197,250,628 | 10,908 | 1. ## functions
am having some problems with these equations
given tha f and g are functions where the target set and source sets are the set of real numbers and
f(x) = 10-3x
g(x) = 2
1+3
calculate
i) f(2)
ii)g(-3)
iii) fog(2)
write down an expression giving
iv) g o f (x)
v)f-1(x)
again thanks for any help
2. O... | 865 | 2,642 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.0625 | 4 | CC-MAIN-2018-26 | latest | en | 0.909489 |
www.yuehongyuanyi.com | 1,642,459,118,000,000,000 | text/html | crawl-data/CC-MAIN-2022-05/segments/1642320300624.10/warc/CC-MAIN-20220117212242-20220118002242-00094.warc.gz | 136,368,261 | 9,616 | # finding median from histogram worksheet
By • 一月 17th, 2021
Displaying top 8 worksheets found for - Median Of A Histogram. Find the total number of items represented by the histogram 2. The pdf exercises are curated for students of grade 3 through grade 8. The Median is the value of the middle in your list. The tota... | 2,422 | 10,929 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.1875 | 4 | CC-MAIN-2022-05 | latest | en | 0.911555 |
http://math.stackexchange.com/questions/607103/prove-sin2-theta-cos2-theta-1/607121 | 1,467,173,655,000,000,000 | text/html | crawl-data/CC-MAIN-2016-26/segments/1466783397565.80/warc/CC-MAIN-20160624154957-00079-ip-10-164-35-72.ec2.internal.warc.gz | 199,029,850 | 28,474 | # Prove $\sin^2\theta + \cos^2\theta = 1$
How do you prove the following trigonometric identity: $$\sin^2\theta+\cos^2\theta=1$$
I'm curious to know of the different ways of proving this depending on different characterizations of sine and cosine.
-
By definition? This really depends on how the functions are defined... | 4,436 | 13,690 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.09375 | 4 | CC-MAIN-2016-26 | latest | en | 0.829055 |
http://imomath.com/index.php?options=288&lmm=0 | 1,524,477,178,000,000,000 | text/html | crawl-data/CC-MAIN-2018-17/segments/1524125945940.14/warc/CC-MAIN-20180423085920-20180423105920-00175.warc.gz | 160,333,281 | 4,226 | ## Linear approximations
In single variable calculus we had: $\Delta f\approx f^{\prime}\cdot \Delta x.$ The previous expression can be made precise but we won’t do that. This is a motivational paragraph, so we’ll talk about how calculators and computers handle the calculation of $$\sin x$$, $$e^{x^3}$$ and similar fu... | 841 | 2,755 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.53125 | 5 | CC-MAIN-2018-17 | longest | en | 0.874836 |
http://gmatclub.com/forum/given-that-p-and-q-are-positive-prime-numbers-greater-than-142197.html | 1,484,817,392,000,000,000 | text/html | crawl-data/CC-MAIN-2017-04/segments/1484560280504.74/warc/CC-MAIN-20170116095120-00341-ip-10-171-10-70.ec2.internal.warc.gz | 115,641,618 | 57,253 | Given that p and q are positive, prime numbers greater than : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 19 Jan 2017, 01:16
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estim... | 1,066 | 3,612 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2017-04 | latest | en | 0.877001 |
https://tutors.com/lesson/perpendicular-bisector-theorem | 1,675,301,204,000,000,000 | text/html | crawl-data/CC-MAIN-2023-06/segments/1674764499954.21/warc/CC-MAIN-20230202003408-20230202033408-00647.warc.gz | 604,918,874 | 43,250 | # Perpendicular Bisector Theorem
Written by
Malcolm McKinsey
Fact-checked by
Paul Mazzola
## Perpendicular Bisector Theorem (Proof, Converse, & Examples)
### Perpendicular
All good learning begins with vocabulary, so we will focus on the two important words of the theorem. Perpendicular means two line segments, ray... | 1,500 | 5,985 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 6, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.78125 | 5 | CC-MAIN-2023-06 | latest | en | 0.830577 |
http://dailygre.blogspot.jp/2011/08/physics-gre-22.html | 1,508,652,747,000,000,000 | text/html | crawl-data/CC-MAIN-2017-43/segments/1508187825147.83/warc/CC-MAIN-20171022060353-20171022080353-00323.warc.gz | 89,410,749 | 16,997 | ## Pages
News: Currently the LaTeX and hidden solutions on this blog do not work on Google Reader.
Email me if you have suggestions on how to improve this blog!
## Tuesday, 23 August 2011
### Physics GRE - #22
Two wedges, each of mass $m$, are placed next to each other on a flat floor. A cube of mass $M$ is balance... | 526 | 1,800 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.40625 | 4 | CC-MAIN-2017-43 | latest | en | 0.884593 |
https://gmatclub.com/forum/at-an-amusement-park-tom-bought-a-number-of-red-tokens-and-126814.html?sort_by_oldest=true | 1,579,839,524,000,000,000 | text/html | crawl-data/CC-MAIN-2020-05/segments/1579250615407.46/warc/CC-MAIN-20200124040939-20200124065939-00531.warc.gz | 456,367,008 | 160,188 | GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
It is currently 23 Jan 2020, 21:17
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Pr... | 3,968 | 14,038 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.3125 | 4 | CC-MAIN-2020-05 | latest | en | 0.833662 |
https://www.geospatialnews.net/40e4ru.php?page=bell-number-formula-for-equivalence-relations-44a7bb | 1,611,220,207,000,000,000 | text/html | crawl-data/CC-MAIN-2021-04/segments/1610703524270.28/warc/CC-MAIN-20210121070324-20210121100324-00044.warc.gz | 796,841,141 | 7,991 | To compute for the Bell number, one uses Dobinski’â„¢s formula: B n = (summation from k=0 to ? An Important Equivalence Relation The equivalence classes of this equivalence relation, for example: [1 1]={2 2, 3 3,⋯, k k,⋯} [1 2]={2 4, 3 6, 4 8,⋯, k 2k,⋯} [4 5]={4 5, 8 10, 12 15,⋯,4 k 5 k ,⋯,} are called rational numbers... | 1,320 | 5,168 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.09375 | 4 | CC-MAIN-2021-04 | latest | en | 0.88591 |
https://socratic.org/questions/how-do-you-evaluate-the-limit-cos-pix-3-as-x-approaches-2 | 1,722,945,678,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722640484318.27/warc/CC-MAIN-20240806095414-20240806125414-00431.warc.gz | 416,863,282 | 5,844 | # How do you evaluate the limit cos((pix)/3) as x approaches 2?
${\lim}_{x \rightarrow 2} \cos \left(\frac{\pi x}{3}\right) = \cos \left(\frac{2 \pi}{3}\right) = - 0.5$
Since $\cos \left(\frac{\pi x}{3}\right)$ is defined when $x = 2$
The limit as $x \rightarrow 2$ of $\cos \left(\frac{\pi x}{3}\right)$ is $\cos \left... | 132 | 344 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 6, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.03125 | 4 | CC-MAIN-2024-33 | latest | en | 0.537112 |
http://mathhelpforum.com/calculus/92565-partial-fractions-print.html | 1,498,462,463,000,000,000 | text/html | crawl-data/CC-MAIN-2017-26/segments/1498128320685.63/warc/CC-MAIN-20170626064746-20170626084746-00134.warc.gz | 256,886,634 | 3,403 | # Partial Fractions
• Jun 11th 2009, 08:39 AM
coobe
Partial Fractions
hi again!
i have to make partialfractions out of the following integral:
$\int \frac{1-x}{x^3-2x^2+x-2} dx$
guessing a critical point for the denominator gives me $x_{0}=2$
then polynomial division gives me
$(x^3-2x^2+x-2) / (x-2) = x^2+1$
$\r... | 742 | 2,046 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 13, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.25 | 4 | CC-MAIN-2017-26 | longest | en | 0.761019 |
https://www.esaral.com/q/factorize-each-of-the-following-algebraic-expression-98799 | 1,726,554,040,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700651739.72/warc/CC-MAIN-20240917040428-20240917070428-00149.warc.gz | 698,454,745 | 11,483 | # Factorize each of the following algebraic expression:
Question:
Factorize each of the following algebraic expression:
x2 − y2 + 6y − 9
Solution:
$x^{2}-y^{2}+6 y-9$
$=x^{2}-\left(y^{2}-6 y+9\right)$
$=x^{2}-\left(y^{2}-2 \times y \times 3+3^{2}\right)$
$=x^{2}-(y-3)^{2}$
$=[x-(y-3)][x+(y-3)]$
$=(x-y+3)(x+y-3... | 147 | 322 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2024-38 | latest | en | 0.533509 |
https://www.gradesaver.com/textbooks/math/applied-mathematics/elementary-technical-mathematics/chapter-1-review-page-101/26 | 1,718,942,703,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198862036.35/warc/CC-MAIN-20240621031127-20240621061127-00025.warc.gz | 705,544,702 | 13,351 | ## Elementary Technical Mathematics
$1\dfrac{19}{24}$
Convert each mixed number to an improper fraction to obtain: $=\dfrac{8(6)+3}{8}-\dfrac{12(4)+7}{12} \\=\dfrac{51}{8}-\dfrac{55}{12}$ Find the least common multiple (LCM) of the denominators: $8 = 2(2)(2) \\12 = 2(2)(3)$ Thus, the LCM is $2(2)(2)(3) = 24$. Make the... | 212 | 520 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.40625 | 4 | CC-MAIN-2024-26 | latest | en | 0.668658 |
http://mathhelpforum.com/calculus/48295-reduction-formulae-print.html | 1,519,326,882,000,000,000 | text/html | crawl-data/CC-MAIN-2018-09/segments/1518891814249.56/warc/CC-MAIN-20180222180516-20180222200516-00589.warc.gz | 215,770,549 | 3,646 | # Reduction formulae.
• Sep 9th 2008, 07:52 AM
Showcase_22
Reduction formulae.
http://i116.photobucket.com/albums/o...sproblem17.jpg
These two questions are what i'm stuck on. I managed to get a fair way through the first question:
http://i116.photobucket.com/albums/o..._01/img028.jpg
It clearly isn't finished and ... | 816 | 2,526 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 12, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.15625 | 4 | CC-MAIN-2018-09 | longest | en | 0.881119 |
https://math.stackexchange.com/questions/1184338/gibbs-phenomenon-and-fourier-series | 1,571,861,776,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570987836295.98/warc/CC-MAIN-20191023201520-20191023225020-00216.warc.gz | 581,563,792 | 32,428 | # Gibbs Phenomenon and Fourier Series
a) Show the partial sum $$S = \frac{4}{\pi} \sum_{n=1}^N \frac{\sin((2n-1)t)}{2n-1}$$ which may also be written as $$\frac{2}{\pi}\int_0^x\frac{\sin(2Nt)}{\sin(t)}dt$$ has extrema at $x= \frac{m\pi}{2N}$
where $m$ is any positive integer except m=2kN, k also integer.
Solution: T... | 799 | 2,373 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.0625 | 4 | CC-MAIN-2019-43 | latest | en | 0.841029 |
https://www.themathdoctors.org/finding-an-angle-with-and-without-trig/ | 1,722,660,546,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722640356078.1/warc/CC-MAIN-20240803025153-20240803055153-00740.warc.gz | 782,426,460 | 24,589 | # Finding an Angle With and Without Trig
### (A new question of the week)
Usually when we have a figure labeled with some lengths and angles, we can expect to find unknown angles using trigonometry. When we are expected to do this using geometry alone, we can expect that there is something special about the figure th... | 2,169 | 8,388 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2024-33 | latest | en | 0.957769 |
https://www.physicsforums.com/threads/cartesian-to-polar-cordinates.828554/ | 1,511,497,284,000,000,000 | text/html | crawl-data/CC-MAIN-2017-47/segments/1510934807084.8/warc/CC-MAIN-20171124031941-20171124051941-00731.warc.gz | 836,794,748 | 18,649 | # Cartesian to polar cordinates
1. Aug 20, 2015
### RingNebula57
If we expres cartesian cordinates in polar coordinates we get:
x=r*cos(theta)
y=r*sin(theta)
let's differentiate those 2 eqs:
dx= dr cos(theta) -r* d(theta) * sin(theta)
dy=dr sin(theta) + r* d(theta) * cos(theta)
why isn't dx*dy= r* dr* d(theta) (... | 2,124 | 6,148 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.03125 | 4 | CC-MAIN-2017-47 | longest | en | 0.752298 |
http://www.math.wpi.edu/Course_Materials/MA1024AB01/surfaces/node1.html | 1,544,846,945,000,000,000 | text/html | crawl-data/CC-MAIN-2018-51/segments/1544376826715.45/warc/CC-MAIN-20181215035757-20181215061757-00493.warc.gz | 418,791,687 | 3,583 | Subsections
# MA 1024A Lab 3: Surfaces in Cartesian Coordinates
## Purpose
The purpose of this lab is to introduce you to some of the Maple commands that can be used to plot surfaces in three dimensions.
## Getting Started
To assist you, there is a worksheet associated with this lab that contains examples and even... | 641 | 3,013 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.53125 | 5 | CC-MAIN-2018-51 | latest | en | 0.939382 |
https://www.physicsforums.com/threads/how-to-find-max-velocity-in-a-spring-mass-system.919939/ | 1,508,591,029,000,000,000 | text/html | crawl-data/CC-MAIN-2017-43/segments/1508187824775.99/warc/CC-MAIN-20171021114851-20171021134851-00519.warc.gz | 955,684,915 | 17,384 | # How to find max velocity in a spring-mass system?
Tags:
1. Jul 11, 2017
### Helly123
1. The problem statement, all variables and given/known data
Two masses connected with a spring with contant k. The string streched by l . Find the max velocity of mass m!
M2 ___spring___ M1
M2--stretched by x2--____spring____--x... | 560 | 1,658 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.0625 | 4 | CC-MAIN-2017-43 | longest | en | 0.813369 |
https://www.hackmath.net/en/math-problem/34141 | 1,611,757,927,000,000,000 | text/html | crawl-data/CC-MAIN-2021-04/segments/1610704824728.92/warc/CC-MAIN-20210127121330-20210127151330-00206.warc.gz | 795,020,156 | 15,673 | # Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given.
Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.
Correct result:
a1 = 3.6056
a2 = 6.7082
a3 = 6.0828
a4 = 2.2361
#### Solution:
${a}_{4}={a}_{0}-{b}_{0}=4.4721-2.2361=\sqrt{5}=2.2361$
We would be pleased if you find an error in the wor... | 903 | 2,912 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.4375 | 4 | CC-MAIN-2021-04 | longest | en | 0.821529 |
http://atozmath.com/Default.aspx?q1=Regression%20line%20%7B%7B10%2C11%2C12%2C13%2C14%7D%2C%7B3%2C12%2C18%2C12%2C3%7D%7D%60412&do=1 | 1,566,261,400,000,000,000 | text/html | crawl-data/CC-MAIN-2019-35/segments/1566027315174.57/warc/CC-MAIN-20190820003509-20190820025509-00272.warc.gz | 21,383,223 | 141,962 | Home > Statistical Methods calculators > Find the equation of two regression lines, also estimate calculator
Solve any problem (step by step solutions) Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution will be displayed step by step (In 2 parts)
Solution
Problem: Regression line {{10,11,12,13,14},{3,12,18... | 479 | 1,233 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.09375 | 4 | CC-MAIN-2019-35 | longest | en | 0.686894 |
https://math.stackexchange.com/questions/1469820/area-under-quarter-circle-by-integration | 1,638,088,187,000,000,000 | text/html | crawl-data/CC-MAIN-2021-49/segments/1637964358480.10/warc/CC-MAIN-20211128073830-20211128103830-00013.warc.gz | 466,137,620 | 34,006 | # Area under quarter circle by integration
How would one go about finding out the area under a quarter circle by integrating. The quarter circle's radius is r and the whole circle's center is positioned at the origin of the coordinates. (The quarter circle is in the first quarter of the coordinate system)
From the eq... | 801 | 1,934 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.375 | 4 | CC-MAIN-2021-49 | latest | en | 0.641209 |
https://www.bloombergprep.com/gmat/practice-question/1/346/quantitative-section-test-taking-strategies-data-sufficiency-plugging-in-using-good-numbers/ | 1,603,234,198,000,000,000 | text/html | crawl-data/CC-MAIN-2020-45/segments/1603107874340.10/warc/CC-MAIN-20201020221156-20201021011156-00446.warc.gz | 629,595,581 | 8,018 | We cover every section of the GMAT with in-depth lessons, 5000+ practice questions and realistic practice tests.
## Up to 90+ points GMAT score improvement guarantee
### The best guarantee you’ll find
Our Premium and Ultimate plans guarantee up to 90+ points score increase or your money back.
## Master each section... | 942 | 3,691 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.03125 | 4 | CC-MAIN-2020-45 | latest | en | 0.913008 |
https://stats.stackexchange.com/questions/475242/how-can-i-estimate-the-probability-of-a-random-variable-from-one-population-bein | 1,718,620,562,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861701.67/warc/CC-MAIN-20240617091230-20240617121230-00479.warc.gz | 503,642,805 | 41,098 | # How can I estimate the probability of a random variable from one population being greater than all other random variables from unique populations?
Lets assume I have samples from 5 unique populations. Let's also assume I have a mean and standard deviation from each of these populations, they are normally distributed... | 1,641 | 5,845 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.03125 | 4 | CC-MAIN-2024-26 | latest | en | 0.928478 |
https://mathdada.com/how-to-calculate-percentage/ | 1,686,132,773,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224653631.71/warc/CC-MAIN-20230607074914-20230607104914-00259.warc.gz | 437,037,020 | 34,192 | How to Calculate Percentage
Percentage
The word percentage means per hundred. For instance, if a person saves 15% of his salary, he is said to save 15 parts out of 100 parts. Which can also be written as (15 / 100).
Information conveyed in percentage does not give the exact but gives as an approximation. The Percent... | 661 | 2,723 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.78125 | 5 | CC-MAIN-2023-23 | longest | en | 0.887472 |
https://www.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition-blitzer/chapter-7-cumulative-review-exercises-page-880/14 | 1,618,810,957,000,000,000 | text/html | crawl-data/CC-MAIN-2021-17/segments/1618038878326.67/warc/CC-MAIN-20210419045820-20210419075820-00366.warc.gz | 846,422,178 | 12,145 | ## Precalculus (6th Edition) Blitzer
The solution of the given equation is $\underline{\left( 1,7 \right)}$
We simplify the inequality further to obtain the value of x: \begin{align} & \frac{x+5}{x-1}\gt2 \\ & x+5\gt2x-2 \\ & -x\gt-7 \\ & x\lt7 \end{align} For $x=1$, $\frac{x+5}{x-1}$ is undefined as the denominator b... | 164 | 496 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.28125 | 4 | CC-MAIN-2021-17 | latest | en | 0.727955 |
https://socratic.org/questions/circle-a-has-a-center-at-8-1-and-a-radius-of-3-circle-b-has-a-center-at-2-2-and- | 1,657,202,500,000,000,000 | text/html | crawl-data/CC-MAIN-2022-27/segments/1656104692018.96/warc/CC-MAIN-20220707124050-20220707154050-00086.warc.gz | 576,128,724 | 6,447 | # Circle A has a center at (8 ,-1 ) and a radius of 3 . Circle B has a center at (-2 ,-2 ) and a radius of 7 . Do the circles overlap? If not, what is the smallest distance between them?
Mar 5, 2016
No overlap. distance≈ 0.05
#### Explanation:
First step is to calculate the distance between the centres , using the ... | 331 | 871 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.34375 | 4 | CC-MAIN-2022-27 | latest | en | 0.768343 |
https://geo.libretexts.org/Bookshelves/Geology/Fundamentals_of_Geology_(Schulte)/08%3A_Earthquakes/8.09%3A_Magnitude_vs._Intensity | 1,702,324,086,000,000,000 | text/html | crawl-data/CC-MAIN-2023-50/segments/1700679516047.98/warc/CC-MAIN-20231211174901-20231211204901-00265.warc.gz | 303,337,514 | 29,454 | # 8.9: Magnitude vs. Intensity
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newco... | 950 | 3,703 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.09375 | 4 | CC-MAIN-2023-50 | longest | en | 0.609897 |
https://gateoverflow.in/1638/gate1998-1-1 | 1,545,149,185,000,000,000 | text/html | crawl-data/CC-MAIN-2018-51/segments/1544376829429.94/warc/CC-MAIN-20181218143757-20181218165757-00454.warc.gz | 604,675,157 | 20,124 | 1.8k views
A die is rolled three times. The probability that exactly one odd number turns up among the three outcomes is
1. $\dfrac{1}{6}$
2. $\dfrac{3}{8}$
3. $\dfrac{1}{8}$
4. $\dfrac{1}{2}$
edited | 1.8k views
0
Let Odd $\rightarrow 0$ and Even $\rightarrow 1$
Possible outcomes = {(0,1,1),(1,0,1),(1,1,0)} = 3
Sa... | 527 | 1,306 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.5625 | 5 | CC-MAIN-2018-51 | longest | en | 0.761932 |
https://math.stackexchange.com/questions/2393092/find-the-value-of-an-angle-x | 1,563,326,151,000,000,000 | text/html | crawl-data/CC-MAIN-2019-30/segments/1563195525004.24/warc/CC-MAIN-20190717001433-20190717023433-00162.warc.gz | 466,509,163 | 37,058 | # Find the value of an angle $x$
$\odot O$ is the circumcircle of an isoceles triangle $\Delta ABC$.
$AB=AC$, $\measuredangle BAC=20^0$;
$BD$ is a bisects of $\angle ABC$ and intersects $AC$ at $D$.
Find the value of $\measuredangle BDO \qquad$ or prove that $\measuredangle BDO=100^{\circ}$.
Purely geometric solut... | 1,221 | 3,263 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.59375 | 5 | CC-MAIN-2019-30 | latest | en | 0.786771 |
https://www.physicsforums.com/threads/orthonormal-vectors-homework-solution.390480/ | 1,701,921,276,000,000,000 | text/html | crawl-data/CC-MAIN-2023-50/segments/1700679100632.0/warc/CC-MAIN-20231207022257-20231207052257-00294.warc.gz | 1,025,103,124 | 16,681 | # Orthonormal Vectors Homework: Solution
• roam
In summary, the conversation revolved around using the Gram-Schmidt orthogonalization process to transform a given set of vectors into an orthonormal basis. The attempt at a solution involved finding the components of the second vector and normalizing it, with some minor... | 1,370 | 4,043 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.3125 | 4 | CC-MAIN-2023-50 | latest | en | 0.633362 |
https://socratic.org/questions/how-to-simplify-3times10-8-6times10-7-in-scientific-notation | 1,718,901,320,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861957.99/warc/CC-MAIN-20240620141245-20240620171245-00168.warc.gz | 468,893,315 | 6,230 | # How to simplify (3times10^8)/(6times10^ -7) in scientific notation?
Apr 12, 2018
Keeping the solution in the same format as the question:
$5.0 \times {10}^{14}$
#### Explanation:
$\textcolor{b r o w n}{\text{They are testing your observation with this one.}}$
color(brown)("Note that "1/10^(-7)" is the same as "... | 410 | 1,046 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 18, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.59375 | 5 | CC-MAIN-2024-26 | latest | en | 0.663491 |
https://www.gradesaver.com/textbooks/math/algebra/algebra-a-combined-approach-4th-edition/chapter-2-section-2-5-formulas-and-problem-solving-exercise-set-page-147/27 | 1,537,859,706,000,000,000 | text/html | crawl-data/CC-MAIN-2018-39/segments/1537267161214.92/warc/CC-MAIN-20180925063826-20180925084226-00404.warc.gz | 751,211,721 | 14,313 | ## Algebra: A Combined Approach (4th Edition)
a. The formula for the area of a trapezoid is A = $\frac{1}{2}(b_{1} +b_{2})h$. Substituting the values for the length and width into the equation, we get A = $\frac{1}{2}(24 +56)12$ Solve the equation for A by simplifying: A = $\frac{1}{2}(80)12$ A = 40(12) A = 480 The pe... | 179 | 591 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.34375 | 4 | CC-MAIN-2018-39 | latest | en | 0.889178 |
https://api-project-1022638073839.appspot.com/questions/what-is-the-slope-of-any-line-perpendicular-to-the-line-passing-through-3-8-and--2 | 1,718,335,408,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861520.44/warc/CC-MAIN-20240614012527-20240614042527-00812.warc.gz | 92,869,052 | 6,170 | # What is the slope of any line perpendicular to the line passing through (-3,-8) and (5,2)?
Jun 18, 2018
$\text{perpendicular slope } = - \frac{4}{5}$
#### Explanation:
$\text{calculate the slope m using the "color(blue)"gradient formula}$
•color(white)(x)m=(y_2-y_1)/(x_2-x_1)
$\text{let "(x_1,y_1)=(-3,-8)" and ... | 244 | 629 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 7, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.5625 | 5 | CC-MAIN-2024-26 | latest | en | 0.584868 |
https://www.physicsforums.com/threads/calculating-flow-rate-when-emptying-liquid-from-a-closed-top-tank.1051772/ | 1,726,321,534,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700651579.38/warc/CC-MAIN-20240914125424-20240914155424-00158.warc.gz | 882,170,177 | 24,482 | # Calculating flow rate when emptying liquid from a closed-top tank
• labuch
In summary: P_{atm}=\frac{P_1}{\gamma}+z_1P_{atm}=\frac{P_1}{\gamma}+\frac{P_{atm}}{2g}\frac{z_1}{\gamma}P_{atm}=\frac{P_1}{\gamma}+\frac{P_{atm}}{2g}\frac{z_1}{\gamma}P_{atm}=\frac{P_1}{\gamma}+\frac{P_{at
labuch
Homework Statement
Hello,
He... | 2,548 | 9,461 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.03125 | 4 | CC-MAIN-2024-38 | latest | en | 0.909978 |
https://artofproblemsolving.com/wiki/index.php?title=1995_USAMO_Problems/Problem_2&oldid=120581 | 1,718,458,074,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861594.22/warc/CC-MAIN-20240615124455-20240615154455-00462.warc.gz | 97,522,455 | 13,386 | # 1995 USAMO Problems/Problem 2
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
A calculator is broken so that the only keys that still work are the $\, \sin, \; \cos,$ $\tan, \; \sin^{-1}, \; \cos^{-1}, \,$ and $\, \tan^{-1} \,$ buttons. The display initially shows 0. Given any... | 758 | 2,661 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 33, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "ma... | 4.375 | 4 | CC-MAIN-2024-26 | latest | en | 0.798815 |
http://mathhelpforum.com/geometry/15817-rectangular-prism.html | 1,480,864,004,000,000,000 | text/html | crawl-data/CC-MAIN-2016-50/segments/1480698541322.19/warc/CC-MAIN-20161202170901-00450-ip-10-31-129-80.ec2.internal.warc.gz | 172,650,163 | 9,687 | # Thread: Rectangular Prism
1. ## Rectangular Prism
A right rectangular prism has the following dimensions, x, y, z, where x + y + z = 15. Suppose that the prism's main diagonal has a length of 11. Then, determine the total surface area of the prism.
2. Originally Posted by Ideasman
A right rectangular prism has the... | 221 | 658 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 6, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.09375 | 4 | CC-MAIN-2016-50 | longest | en | 0.830919 |
http://mathhelpforum.com/calculus/206188-find-cubic-function-y-x3-ax2-bx-c.html | 1,527,325,378,000,000,000 | text/html | crawl-data/CC-MAIN-2018-22/segments/1526794867374.98/warc/CC-MAIN-20180526073410-20180526093410-00639.warc.gz | 185,879,668 | 11,077 | # Thread: Find the cubic function y = x3 + ax2 + bx + c
1. ## Find the cubic function y = x3 + ax2 + bx + c
Find the cubic function y = x^3 + ax^2 + b^x + c whose graph has a horizontal tangent at (-2, 10) and passes through (1,1).
What I tried so far is plugging in -2 and 1 in the original function to get:
-8 +4a -2... | 765 | 2,192 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.3125 | 4 | CC-MAIN-2018-22 | latest | en | 0.831065 |
https://math.stackexchange.com/questions/1575088/find-the-value-of-the-series-sum-limits-n-1-infty-fracn2n | 1,653,555,834,000,000,000 | text/html | crawl-data/CC-MAIN-2022-21/segments/1652662604495.84/warc/CC-MAIN-20220526065603-20220526095603-00269.warc.gz | 455,171,661 | 60,563 | # Find the value of the series $\sum\limits_{n=1}^ \infty \frac{n}{2^n}$ [duplicate]
Find the value of the series $\sum\limits_{n=1}^ \infty \dfrac{n}{2^n}$
The series on expanding is coming as $\dfrac{1}{2}+\dfrac{2}{2^2}+..$
I tried using the form of $(1+x)^n=1+nx+\dfrac{n(n-1)}{2}x^2+..$ and then differentiating ... | 369 | 864 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.09375 | 4 | CC-MAIN-2022-21 | latest | en | 0.62588 |
https://math.stackexchange.com/questions/2455714/prove-int-0-pi-2-x-left-sin-nx-over-sin-x-right4-mathrmdxn2-pi2 | 1,563,631,112,000,000,000 | text/html | crawl-data/CC-MAIN-2019-30/segments/1563195526517.67/warc/CC-MAIN-20190720132039-20190720154039-00153.warc.gz | 470,548,607 | 35,894 | # Prove $\int_0^{\pi/2} x\left({\sin nx\over \sin x}\right)^4\mathrm{d}x<{n^2\pi^2\over 8}$
Prove $$\int_0^{\pi/2} x\left({\sin nx\over \sin x}\right)^4\mathrm{d}x<{n^2\pi^2\over 8}.$$
My attempt: \begin{align} \int_0^{\pi/2} x\left({\sin nx\over \sin x}\right)^4\mathrm{d}x & =\sum_{k=1}^n \int_{{k-1\over 2n}\pi}^{{k... | 909 | 2,274 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.1875 | 4 | CC-MAIN-2019-30 | latest | en | 0.606609 |
https://zerooneseo.com/matt-lieberman-bxcyvm/6710e7-mean-deviation-formula-for-ungrouped-data | 1,632,434,220,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780057447.52/warc/CC-MAIN-20210923195546-20210923225546-00172.warc.gz | 1,115,351,624 | 8,682 | Now, first of all we have to figure out the median class and for that we will apply the following formula … Here is the simplified formula of mean for your consideration. mean absolute deviation, mean absolute deviation formula, mean absolute deviation calculator, mean absolute deviation calculator, mean absolute devia... | 4,298 | 18,792 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.15625 | 4 | CC-MAIN-2021-39 | latest | en | 0.851462 |
https://homework.cpm.org/category/MN/textbook/cc2mn/chapter/1/lesson/1.1.4/problem/1-38 | 1,632,345,495,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780057388.12/warc/CC-MAIN-20210922193630-20210922223630-00284.warc.gz | 363,145,799 | 15,476 | Home > CC2MN > Chapter 1 > Lesson 1.1.4 > Problem1-38
1-38.
At the farmers’ market, two pounds of peaches cost $\4.20$. How much will five pounds cost? Show all of your work or explain your reasoning.
How much does one pound of peaches cost?
Because we know the cost of two pounds of peaches, we can divide this valu... | 191 | 649 | {"found_math": true, "script_math_tex": 6, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.21875 | 4 | CC-MAIN-2021-39 | longest | en | 0.927543 |
https://gmatclub.com/forum/on-monday-a-person-mailed-8-packages-weighing-an-average-137216.html?kudos=1 | 1,579,796,053,000,000,000 | text/html | crawl-data/CC-MAIN-2020-05/segments/1579250611127.53/warc/CC-MAIN-20200123160903-20200123185903-00155.warc.gz | 470,333,621 | 160,089 | GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
It is currently 23 Jan 2020, 09:12
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Pr... | 4,556 | 14,490 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.09375 | 4 | CC-MAIN-2020-05 | latest | en | 0.854166 |
http://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-for-college-students-7th-edition/chapter-1-section-1-5-problem-solving-and-using-formulas-exercise-set-page-68/70 | 1,524,568,952,000,000,000 | text/html | crawl-data/CC-MAIN-2018-17/segments/1524125946597.90/warc/CC-MAIN-20180424100356-20180424120356-00601.warc.gz | 428,951,883 | 13,277 | ## Intermediate Algebra for College Students (7th Edition)
$d=\dfrac{L-a}{n-1}$
Subtract $a$ on both sides to find: $L-a=(n-1)d$ Divide by $n-1$ on both sides to find: $\dfrac{L-a}{n-1} = \dfrac{(n-1)d}{n-1} \\\dfrac{L-a}{n-1} = d \\d=\dfrac{L-a}{n-1}$ | 110 | 253 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.03125 | 4 | CC-MAIN-2018-17 | latest | en | 0.610169 |
https://math.stackexchange.com/questions/1827111/probability-with-coins | 1,560,662,721,000,000,000 | text/html | crawl-data/CC-MAIN-2019-26/segments/1560627997731.69/warc/CC-MAIN-20190616042701-20190616064701-00038.warc.gz | 527,510,068 | 33,314 | Probability with coins
I'm self learning and I stumbled upon the following task, but I struggle to find the solution:
Two players flip coins. The first player flips 3 coins, the second player flips 2 coins. The player that gets most tales wins 5 coins. If both players get the same amount of tales, the game starts ove... | 1,245 | 3,977 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 4.125 | 4 | CC-MAIN-2019-26 | latest | en | 0.937384 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.