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https://www.hellovaia.com/textbooks/math/essential-calculus-early-transcendentals-2nd/vectors-and-the-geometry-of-space/q13e-to-show-a-rmi-cdot-rmj-0rmj-cdot-rmk-0-and-rmk-cdot-rmi/ | 1,695,619,229,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233506686.80/warc/CC-MAIN-20230925051501-20230925081501-00728.warc.gz | 887,290,483 | 18,285 | Suggested languages for you:
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Expert-verified
Found in: Page 556
### Essential Calculus: Early Transcendentals
Book edition 2nd
Author(s) James Stewart
Pages 830 pages
ISBN 9781133112280
# To show(a) $${\rm{i}} \cdot {\rm{j}} = 0,{\rm{j}} \cdot {\rm{k}} = 0$$ and $${\rm{k}} \cdot {\rm{i}} = 0... | 1,548 | 3,680 | {"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... | 4.1875 | 4 | CC-MAIN-2023-40 | latest | en | 0.421065 |
https://en.m.wikibooks.org/wiki/A-level_Physics_(Advancing_Physics)/Vectors/Trigonometry | 1,709,247,324,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947474853.43/warc/CC-MAIN-20240229202522-20240229232522-00580.warc.gz | 229,702,248 | 9,098 | # A-level Physics (Advancing Physics)/Vectors/Trigonometry
Trigonometry is the study of the ratios between sides on a right-angled triangle. Consider the following diagram:
Depending on the value of the angle BAC, the ratios between the three sides of the triangle will vary. These three sides are generally given the ... | 319 | 1,286 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 3, "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... | 3.640625 | 4 | CC-MAIN-2024-10 | latest | en | 0.89436 |
https://au.mathworks.com/matlabcentral/cody/problems/524-sequential-unconstrained-minimization-sumt-using-interior-penalty/solutions/667858 | 1,590,501,069,000,000,000 | text/html | crawl-data/CC-MAIN-2020-24/segments/1590347390758.21/warc/CC-MAIN-20200526112939-20200526142939-00366.warc.gz | 261,421,038 | 15,934 | Cody
Problem 524. Sequential Unconstrained Minimization (SUMT) using Interior Penalty
Solution 667858
Submitted on 8 May 2015 by Ashley
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.
Test Suite
Test Status Code Input and Output
1 Pass
%% Haftka & Gurda... | 582 | 1,334 | {"found_math": false, "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, "ma... | 3.765625 | 4 | CC-MAIN-2020-24 | latest | en | 0.438709 |
http://radiomagonline.com/tutorials_tips/roll_your_own_rf_filters_0213/ | 1,406,094,462,000,000,000 | text/html | crawl-data/CC-MAIN-2014-23/segments/1405997876165.43/warc/CC-MAIN-20140722025756-00068-ip-10-33-131-23.ec2.internal.warc.gz | 309,246,574 | 16,130 | # Roll Your Own RF Filters
In the November 2012 issue I wrote about combining FM antennas by way of filters. I received a question from a reader (Danny Wilson) about how to accomplish the same thing using transmission line filters. That can be done of course, and you'll save some money by rolling your own.
To do this... | 683 | 3,104 | {"found_math": false, "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, "ma... | 3.96875 | 4 | CC-MAIN-2014-23 | longest | en | 0.936073 |
https://testprep-online.com/nys-math-test | 1,685,831,171,000,000,000 | text/html | crawl-data/CC-MAIN-2023-23/segments/1685224649343.34/warc/CC-MAIN-20230603201228-20230603231228-00295.warc.gz | 596,419,377 | 35,343 | ## What Is the New York 3rd Grade Math State Test?
The New York State 3rd Grade Math Test is used to test the math skills of elementary school students in the 3rd grade. it ensures that students across the board have absorbed their studies and can advance to the next level of education.
The NYS 3rd Grade Math Test in... | 1,114 | 5,622 | {"found_math": false, "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, "ma... | 3.84375 | 4 | CC-MAIN-2023-23 | latest | en | 0.944224 |
https://www.emathematics.net/g6_coordinate.php?def=review | 1,632,355,549,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780057403.84/warc/CC-MAIN-20210922223752-20210923013752-00405.warc.gz | 723,718,647 | 6,448 | User:
• Matrices
• Algebra
• Geometry
• Funciones
• Trigonometry
• Coordinate geometry
• Combinatorics
Suma y resta Producto por escalar Producto Inversa
Monomials Polynomials Special products Equations Quadratic equations Radical expressions Systems of equations Sequences and series Inner product Exponential equatio... | 354 | 1,479 | {"found_math": false, "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, "ma... | 3.59375 | 4 | CC-MAIN-2021-39 | latest | en | 0.707288 |
https://www.gradesaver.com/textbooks/math/algebra/college-algebra-7th-edition/chapter-p-prerequisites-section-p-3-integer-exponents-and-scientific-notation-p-3-exercises-page-23/24 | 1,548,062,799,000,000,000 | text/html | crawl-data/CC-MAIN-2019-04/segments/1547583771929.47/warc/CC-MAIN-20190121090642-20190121112642-00463.warc.gz | 810,140,870 | 13,182 | ## College Algebra 7th Edition
a. $z^{4}$ b. $16a^{20}$ c. $-54z^{9}$
a. $\frac{z^{2}z^{4}}{z^{3}z^{-1}} = \frac{z^{2+4}}{z^{3-1}} = \frac{z^{6}}{z^{2}} = z^{6-2} = z^{4}$ b. $(2a^{3}a^{2})^{4} = (2a^{3+2})^{4}= (2a^{5})^{4}= (2^{4}a^{5\times4})=16a^{20}$ c. $(-3z^{2})^{3}(2z^{3}) = ((-3z^{2})\times(-3z^{2})\times(-3z... | 250 | 423 | {"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-2019-04 | latest | en | 0.179753 |
http://mathhelpforum.com/geometry/93196-please-help-me-solving-problem.html | 1,481,426,723,000,000,000 | text/html | crawl-data/CC-MAIN-2016-50/segments/1480698543782.28/warc/CC-MAIN-20161202170903-00278-ip-10-31-129-80.ec2.internal.warc.gz | 179,623,697 | 10,175 | 2. For the first one use $a^2+b^2=c^2$
in your case $(\frac{6}{2})^2+d^2=5^2$
find $d$ from here
3. Each corner is a right isosceles triangle. Let the lengths of the legs each by s:
\begin{aligned}
s^2 + s^2 &= a^2 \\
2s^2 &= a^2 \\
s^2 &= \frac{a^2}{2} \\
s &= \frac{a\sqrt{2}}{2}
\end{aligned}
(The above should look... | 250 | 625 | {"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... | 4.03125 | 4 | CC-MAIN-2016-50 | longest | en | 0.699357 |
https://studyhelp.sa.com/mathematics-study-help/omar-bought-10-pounds-of-rice-for-6-how-many-dollars-did-he-pay-per-pound-of-rice/ | 1,606,995,284,000,000,000 | text/html | crawl-data/CC-MAIN-2020-50/segments/1606141727627.70/warc/CC-MAIN-20201203094119-20201203124119-00031.warc.gz | 503,242,776 | 8,008 | # Omar bought 10 pounds of rice for \$6. How many dollars did he pay per pound of rice?
##0.6 \$##
we accept :
10 bruises of rice ##->6\$## 1 bruise of rice ##-> x\$##
we demand to meet ##x##
##x/1 = 6/10 -> x = (6xx1)/10 = 3/5 = 0.6##
I desire that was clear | 94 | 265 | {"found_math": false, "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, "ma... | 3.71875 | 4 | CC-MAIN-2020-50 | latest | en | 0.867136 |
https://mcqslearn.com/engg/engineering-physics/mcq/optical-diffraction.php | 1,718,677,370,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861746.4/warc/CC-MAIN-20240618011430-20240618041430-00872.warc.gz | 345,539,947 | 16,903 | Engineering Courses
Chapter 24: Engineering Physics Exam Tests
Engineering Physics MCQs - Chapter 24
Books:
Apps:
The Optical Diffraction Multiple Choice Questions (MCQs) with Answers PDF, Optical Diffraction MCQs PDF Download e-Book Ch. 24-1 to study Engineering Physics Course. Practice Circular Aperture Diffract... | 556 | 2,202 | {"found_math": false, "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, "ma... | 3.5 | 4 | CC-MAIN-2024-26 | latest | en | 0.823764 |
https://www.greaterwrong.com/posts/PfcQguFpT8CDHcozj/finite-factored-sets-in-pictures-6 | 1,722,911,159,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722640461318.24/warc/CC-MAIN-20240806001923-20240806031923-00669.warc.gz | 623,436,946 | 44,990 | # Finite Factored Sets in Pictures
Finite factored sets are a new paradigm for talking about causality. You can use them to do some cool things you can’t do with Pearl’s causal graphs, for example inferring a causal arrow between two binary variables.
Also, finite factored sets are a really neat mathematical structur... | 8,644 | 36,889 | {"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-2024-33 | latest | en | 0.939035 |
https://neuraspike.com/blog/linear-regression-gradient-descent-python/ | 1,725,997,041,000,000,000 | text/html | crawl-data/CC-MAIN-2024-38/segments/1725700651318.34/warc/CC-MAIN-20240910192923-20240910222923-00269.warc.gz | 380,790,948 | 35,052 | # Linear Regression using Gradient Descent in Python
In the last two tutorials, I have specified the equation of the mean squared error $$J(\theta)$$, which measures how wrong the model is in modeling the relationship between $$X$$ and $$y$$.
In continuation of the previous tutorial behind the gradient descent algor... | 3,500 | 13,459 | {"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 | 0.828054 |
https://slideplayer.com/slide/2358931/ | 1,531,748,087,000,000,000 | text/html | crawl-data/CC-MAIN-2018-30/segments/1531676589270.3/warc/CC-MAIN-20180716115452-20180716135452-00564.warc.gz | 760,486,844 | 19,606 | # Carpentry & Joinery Phase 4 Volume, Mass & Density m³ kg Sample Questions & Solutions.
## Presentation on theme: "Carpentry & Joinery Phase 4 Volume, Mass & Density m³ kg Sample Questions & Solutions."— Presentation transcript:
Carpentry & Joinery Phase 4 Volume, Mass & Density m³ kg Sample Questions & Solutions
C... | 1,079 | 2,895 | {"found_math": false, "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, "ma... | 4.5625 | 5 | CC-MAIN-2018-30 | latest | en | 0.776482 |
https://ask.learncbse.in/t/the-curved-surface-area-of-a-cylinder-is-4400-cm-square/68379 | 1,675,498,243,000,000,000 | text/html | crawl-data/CC-MAIN-2023-06/segments/1674764500095.4/warc/CC-MAIN-20230204075436-20230204105436-00634.warc.gz | 130,183,630 | 3,426 | # The curved surface area of a cylinder is 4400 CM square
The curved surface area of a cylinder is 4400 CM square and the circumference of its base is 110 cm find the height and the volume of the cylinder
According to the question,
Circumference of circle = 2πr = 110
we get r = 35/2 cm
Curve surface area of cylinder ... | 112 | 389 | {"found_math": false, "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, "ma... | 4.09375 | 4 | CC-MAIN-2023-06 | latest | en | 0.892334 |
https://mathspace.co/textbooks/syllabuses/Syllabus-452/topics/Topic-8361/subtopics/Subtopic-110110/?activeTab=theory | 1,642,784,084,000,000,000 | text/html | crawl-data/CC-MAIN-2022-05/segments/1642320303512.46/warc/CC-MAIN-20220121162107-20220121192107-00375.warc.gz | 444,016,003 | 54,791 | # Create and continue fraction patterns (add/sub)
Lesson
## The pattern detective
We've seen that we can solve number patterns with fractions, but now we may need to do some detective work, especially when the pattern involves fractions. In video 1, I have a pattern, and have asked you to work out what it is, and fi... | 376 | 1,475 | {"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-2022-05 | longest | en | 0.809359 |
https://math.libretexts.org/TextMaps/Calculus/Book%3A_Calculus_(Apex)/8%3A_Sequences_and_Series/8.7%3A_Taylor_Polynomials | 1,542,812,088,000,000,000 | text/html | crawl-data/CC-MAIN-2018-47/segments/1542039748901.87/warc/CC-MAIN-20181121133036-20181121155036-00210.warc.gz | 665,569,350 | 22,158 | $$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... | 7,393 | 21,701 | {"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... | 4.21875 | 4 | CC-MAIN-2018-47 | latest | en | 0.705555 |
https://forums.welltrainedmind.com/topic/315770-algebra-2-problem-a-to-the-zero/ | 1,719,281,717,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198865545.19/warc/CC-MAIN-20240625005529-20240625035529-00166.warc.gz | 217,358,070 | 35,054 | # Algebra 2 problem: a to the zero
## Recommended Posts
I understand a to the zero power is 1. What happens when a is a negative number? For instance, a to the zero when a is -3? Is the answer +3 or -3?
##### Share on other sites
It's also 1. All integers to the power of 0 equal 1. :)
ETA: Revised: Any integer, ot... | 1,197 | 4,407 | {"found_math": false, "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, "ma... | 3.828125 | 4 | CC-MAIN-2024-26 | latest | en | 0.957783 |
https://belvedereliquor.com/how-to-determine-the-caloric-content-of-vodka-types-and-brands/ | 1,716,767,833,000,000,000 | text/html | crawl-data/CC-MAIN-2024-22/segments/1715971058984.87/warc/CC-MAIN-20240526231446-20240527021446-00272.warc.gz | 94,321,407 | 28,536 | # How To Determine The Caloric Content of Vodka Types and Brands
## What is how much calories are in vodka?
How much calories are in vodka is a commonly asked question among those who watch their calorie intake. Vodka, like any alcohol, is high in calories but has no nutrients. A 1.5-ounce serving of 80-proof vodka c... | 3,616 | 17,301 | {"found_math": false, "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, "ma... | 3.71875 | 4 | CC-MAIN-2024-22 | latest | en | 0.94877 |
https://studylib.net/doc/18039556/solutions-for-exam-%232-prepared-by-kurt-jung-questions-are. | 1,560,937,137,000,000,000 | text/html | crawl-data/CC-MAIN-2019-26/segments/1560627998943.53/warc/CC-MAIN-20190619083757-20190619105757-00463.warc.gz | 605,014,868 | 43,075 | # Solutions for Exam #2 Prepared by Kurt Jung Questions are written
```Solutions for Exam #2
Prepared by Kurt Jung
Questions are written out so if you had a different test you can figure out which one I’m
talking about. Numbers in bold will change from test to test, but I solved with the
numbers given. Procedures shou... | 2,013 | 6,854 | {"found_math": false, "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, "ma... | 4.125 | 4 | CC-MAIN-2019-26 | latest | en | 0.92719 |
https://www.chegg.com/homework-help/discus-discover-write-distance-point-line-let-l-line-2x-4y-8-chapter-9.2-problem-53e-solution-9781305071759-exc | 1,555,848,934,000,000,000 | text/html | crawl-data/CC-MAIN-2019-18/segments/1555578531462.21/warc/CC-MAIN-20190421120136-20190421142136-00433.warc.gz | 650,170,715 | 28,820 | # Precalculus (7th Edition) Edit edition Problem 53E from Chapter 9.2: DISCUS ■ DISCOVER ■ WRITE: Distance from a Point to a Line L...
We have solutions for your book!
Chapter: Problem:
DISCUS ■ DISCOVER ■ WRITE: Distance from a Point to a Line Let L be the line 2x + 4y = 8, and let P be the point (3, 4).
(a) Show t... | 350 | 1,279 | {"found_math": false, "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, "ma... | 3.921875 | 4 | CC-MAIN-2019-18 | latest | en | 0.86029 |
http://www.dnapot.com/statistics/hypothesistests/hypothesistests.html | 1,642,491,230,000,000,000 | text/html | crawl-data/CC-MAIN-2022-05/segments/1642320300805.79/warc/CC-MAIN-20220118062411-20220118092411-00644.warc.gz | 87,015,047 | 5,214 | Statistics Hypothesis Tests
Hypothesis Testing with respect to a single population Parameter.
Let’s say we make a statement with respect to a population parameter. A population parameter is nothing but a numerical characteristic of a population. This statement is a reason for a null hypothesis which is still an inval... | 1,292 | 6,394 | {"found_math": false, "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, "ma... | 4.28125 | 4 | CC-MAIN-2022-05 | latest | en | 0.938427 |
https://www.mathdoubts.com/multiplying-2-by-2-matrices-formula-proof/ | 1,718,407,043,000,000,000 | text/html | crawl-data/CC-MAIN-2024-26/segments/1718198861575.66/warc/CC-MAIN-20240614204739-20240614234739-00772.warc.gz | 795,207,281 | 11,192 | # Proof of Multiplying the 2×2 Matrices formula
The multiplication of two $2 \times 2$ matrix is expressed mathematically in algebraic form as follows.
${\begin{bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \\ \end{bmatrix}}$ $\times$ ${\begin{bmatrix} b_{11} & b_{12} \\ b_{21} & b_{22} \\ \end{bmatrix}}$
Now, let’s l... | 2,428 | 6,867 | {"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... | 4.90625 | 5 | CC-MAIN-2024-26 | latest | en | 0.7557 |
http://www.csci.csusb.edu/dick/maths/math_94_Calculus.txt | 1,553,006,741,000,000,000 | text/plain | crawl-data/CC-MAIN-2019-13/segments/1552912201996.61/warc/CC-MAIN-20190319143502-20190319165502-00108.warc.gz | 261,054,051 | 2,968 | .Open The Differential and Integral Calculi There is a lot of work to be done here. However classical mathematics has a 200 year history of developments that are already well documented on the world wide web .See http://en.wikipedia.org/wiki/ (for example). We can approach the calculus in two ways: .List Formal Operati... | 1,426 | 5,170 | {"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... | 3.796875 | 4 | CC-MAIN-2019-13 | latest | en | 0.793158 |
https://edumarz.com/how-does-the-force-of-gravitation-between-two-objects-change-when-the-distance-between-them-is-reduced-to-half/ | 1,722,737,382,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722640388159.9/warc/CC-MAIN-20240804010149-20240804040149-00353.warc.gz | 187,907,332 | 29,731 | Edumarz
# How does the force of gravitation between two objects change when the distance between them is reduced to half ?
The gravitational force F between the two bodies of masses M and m is kept at a distance d from each other such that:;
F = G (m1.m2/r2)
Where,
m1 and m2 are the masses of the two bodies.
G is... | 182 | 722 | {"found_math": false, "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, "ma... | 3.84375 | 4 | CC-MAIN-2024-33 | latest | en | 0.970194 |
http://gmatclub.com/forum/which-of-the-following-expression-can-be-written-as-an-132705.html?fl=similar | 1,485,087,977,000,000,000 | text/html | crawl-data/CC-MAIN-2017-04/segments/1484560281424.85/warc/CC-MAIN-20170116095121-00441-ip-10-171-10-70.ec2.internal.warc.gz | 114,096,391 | 56,587 | Which of the following expression can be written as an : GMAT Problem Solving (PS)
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### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate yo... | 1,374 | 4,283 | {"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... | 3.640625 | 4 | CC-MAIN-2017-04 | latest | en | 0.864188 |
http://nrich.maths.org/6481 | 1,480,891,111,000,000,000 | text/html | crawl-data/CC-MAIN-2016-50/segments/1480698541426.52/warc/CC-MAIN-20161202170901-00314-ip-10-31-129-80.ec2.internal.warc.gz | 202,132,299 | 5,398 | ### Degree Ceremony
What does Pythagoras' Theorem tell you about these angles: 90°, (45+x)° and (45-x)° in a triangle?
### Loch Ness
Draw graphs of the sine and modulus functions and explain the humps.
### Squareness
The family of graphs of x^n + y^n =1 (for even n) includes the circle. Why do the graphs look more... | 333 | 1,453 | {"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... | 3.640625 | 4 | CC-MAIN-2016-50 | longest | en | 0.917184 |
http://gmatclub.com/forum/imagine-a-tunnel-if-the-curved-portion-is-3-4-of-a-circle-2446.html | 1,484,633,444,000,000,000 | text/html | crawl-data/CC-MAIN-2017-04/segments/1484560279468.17/warc/CC-MAIN-20170116095119-00450-ip-10-171-10-70.ec2.internal.warc.gz | 111,182,996 | 40,576 | Imagine a tunnel- if the curved portion is 3/4 of a circle : Quant Question Archive [LOCKED]
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### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can e... | 1,266 | 4,288 | {"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... | 4.0625 | 4 | CC-MAIN-2017-04 | latest | en | 0.901982 |
https://numbermatics.com/n/13475/ | 1,590,581,166,000,000,000 | text/html | crawl-data/CC-MAIN-2020-24/segments/1590347394074.44/warc/CC-MAIN-20200527110649-20200527140649-00074.warc.gz | 490,364,698 | 6,049 | # 13475
## 13,475 is an odd composite number composed of three prime numbers multiplied together.
What does the number 13475 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.
13475 is an odd composite number. It is composed of three distinct prime numb... | 624 | 2,237 | {"found_math": false, "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, "ma... | 3.53125 | 4 | CC-MAIN-2020-24 | latest | en | 0.875735 |
https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=16&t=5926&p=98200 | 1,607,125,014,000,000,000 | text/html | crawl-data/CC-MAIN-2020-50/segments/1606141745780.85/warc/CC-MAIN-20201204223450-20201205013450-00114.warc.gz | 368,863,078 | 12,247 | Photoelectric effect post-quiz 17-19 [ENDORSED]
Ritika Saranath 3I
Posts: 24
Joined: Fri Sep 25, 2015 3:00 am
Photoelectric effect post-quiz 17-19
Hi!
Light hits a sodium metal surface and the velocity of the ejected electron is 6.61 x 105 m.s-1. The work function for sodium is 150.6 kJ.mol-1.
A. What is the kineti... | 936 | 2,636 | {"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... | 3.90625 | 4 | CC-MAIN-2020-50 | latest | en | 0.772853 |
https://www.iqenergy.org.ua/answers/3273345-70-meters-increased-by-80 | 1,709,269,568,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947474948.91/warc/CC-MAIN-20240301030138-20240301060138-00536.warc.gz | 806,994,459 | 6,080 | # 70 meters increased by 80%
Answer: I think the answer is 126;
## Related Questions
Which of the following is(are) the solution(s) to. |2x-1|= 10 ?
Either x=11/2 or x=-9/2
Step-by-step explanation:
|2(5.5)|-1=10
Step-by-step explanation:
Which is the graph of y= x-5-1?
graph D
Step-by-step explanation:
Th... | 271 | 738 | {"found_math": false, "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, "ma... | 3.953125 | 4 | CC-MAIN-2024-10 | latest | en | 0.824669 |
http://gmatclub.com/forum/if-x-and-3x-y-are-integers-what-is-the-value-of-y-11133.html | 1,485,083,007,000,000,000 | text/html | crawl-data/CC-MAIN-2017-04/segments/1484560281421.33/warc/CC-MAIN-20170116095121-00366-ip-10-171-10-70.ec2.internal.warc.gz | 114,493,461 | 43,128 | If x and 3x + y are integers, what is the value of y? (1) 0 : DS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 22 Jan 2017, 03:03
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your perform... | 1,327 | 3,721 | {"found_math": false, "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, "ma... | 3.578125 | 4 | CC-MAIN-2017-04 | latest | en | 0.825981 |
https://neighborshateus.com/how-do-you-say-100-in-french/ | 1,716,308,088,000,000,000 | text/html | crawl-data/CC-MAIN-2024-22/segments/1715971058504.35/warc/CC-MAIN-20240521153045-20240521183045-00239.warc.gz | 370,435,761 | 10,075 | # How do you say 100 in French?
## How do you say 100 in French?
The numbers between 80 and 89 add the numbers 1-9 to quatre-vingts. The number 90 is quatre-vingt-dix. Again, the numbers 11-19 are added to quatre-vingts to make the numbers 91 to 99….Numbers in French: 70-100.
Number In French Mathematical Equation
9... | 633 | 1,927 | {"found_math": false, "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, "ma... | 3.78125 | 4 | CC-MAIN-2024-22 | latest | en | 0.838543 |
https://fresherbell.com/quizdiscuss/quantitative-aptitude/534596-61472-496708-27271 | 1,716,466,808,000,000,000 | text/html | crawl-data/CC-MAIN-2024-22/segments/1715971058625.16/warc/CC-MAIN-20240523111540-20240523141540-00245.warc.gz | 233,281,295 | 9,589 | # Quiz Discussion
534.596 + 61.472 - 496.708 = ? + 27.271
Course Name: Quantitative Aptitude
• 1] 62.069
• 2] 72.089
• 3] 126.631
• 4] 132.788
• 5] None of these
##### Solution
No Solution Present Yet
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The Midterm will cover the material we did through Tuesday, March 22: Chapter 11.1-11.3, Chapter 13.1-13.7, Chapter 14.1-14.3 (only part of 14.3), Chapter 15.1-15.7. The test is cumulative, i.e. you are responsible for everything done since the beginning of the class, but the emp... | 848 | 2,914 | {"found_math": false, "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, "ma... | 4.375 | 4 | CC-MAIN-2018-51 | latest | en | 0.935865 |
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Introduction
2.
Problem statement
3.
Approach
4.
Dry run
5.
Code
6.
Complexity
7.
FAQs
8.
Key Takeaways
Last Updated: Mar 27, 2024
# Sort given Array using at most N cyclic shift on any subarray
Malay Gain
0 upvote
## Introduction
We know various algorithms for sorting. Here we will see a new approach, cyclic sh... | 646 | 2,816 | {"found_math": false, "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, "ma... | 4.1875 | 4 | CC-MAIN-2024-38 | latest | en | 0.768474 |
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Q1.Define an algorithm and explain the role of the algorithm in problem-solving.
ANS: Algorithm
The algorithm is a well-defined list of steps for solving a particular problem. Informally, an algorithm is a well-defined computational procedure that takes some value, or set of values, as input and produces... | 468 | 2,312 | {"found_math": false, "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, "ma... | 4.28125 | 4 | CC-MAIN-2022-05 | latest | en | 0.925691 |
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I have just seen two active posts about integrals of inverse trigonometric function, \$arctan(x)\$, here on MSE. So I decide lớn post this question. This integral comes from a friend of mine (it"s not a homework problem) và we have tried khổng lồ evaluate it but no success so far. I have discussed it in chatr... | 1,224 | 3,740 | {"found_math": false, "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, "ma... | 3.890625 | 4 | CC-MAIN-2023-14 | latest | en | 0.755995 |
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### 1089
Choose a three-digit number so that the first and third digits differ two or more units:
1. Write the number from right to left;
2. Do the subtraction of the larger number by the smaller;
3. Write the number obtained in point 2 from right to left and add it to the number also obtained in poi... | 124 | 432 | {"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... | 3.78125 | 4 | CC-MAIN-2018-26 | longest | en | 0.828992 |
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I have a question regarding the support of an importance sampling distribution with respect to the support of the original distribution function. I was reading that the support of the importance sampling distribution (say the import... | 1,155 | 3,458 | {"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... | 3.765625 | 4 | CC-MAIN-2024-30 | latest | en | 0.912099 |
http://www.mathworks.com/help/symbolic/mupad_ug/differentiate-functions.html?nocookie=true | 1,448,773,980,000,000,000 | text/html | crawl-data/CC-MAIN-2015-48/segments/1448398456289.53/warc/CC-MAIN-20151124205416-00259-ip-10-71-132-137.ec2.internal.warc.gz | 557,823,250 | 9,262 | Documentation
Differentiate Functions
Note: Use only in the MuPAD Notebook Interface. This functionality does not run in MATLAB.
To compute derivatives of functions, use the differential operator `D`. This operator differentiates both standard mathematical functions and your own functions created in MuPAD®. For e... | 808 | 3,026 | {"found_math": false, "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, "ma... | 4 | 4 | CC-MAIN-2015-48 | latest | en | 0.743528 |
https://www.proofwiki.org/wiki/Definition:Natural_Deduction_System/Copi | 1,696,209,900,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233510942.97/warc/CC-MAIN-20231002001302-20231002031302-00797.warc.gz | 997,536,233 | 14,191 | # Definition:Natural Deduction System/Copi
## Definition
Source: Irving M. Copi: Symbolic Logic, 4th ed. (MacMillan, $1973$)
### Rules of Inference
#### Modus Ponendo Ponens
$\ds p$ $\implies$ $\ds q$ $\ds p$ $\ds$ $\ds \vdash \ \$ $\ds q$ $\ds$
#### Modus Tollendo Tollens
The Modus Tollendo Tollens can be sy... | 1,203 | 3,282 | {"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... | 3.6875 | 4 | CC-MAIN-2023-40 | latest | en | 0.173977 |
http://www.physicsforums.com/showthread.php?t=295309 | 1,398,378,228,000,000,000 | text/html | crawl-data/CC-MAIN-2014-15/segments/1398223206770.7/warc/CC-MAIN-20140423032006-00458-ip-10-147-4-33.ec2.internal.warc.gz | 751,887,594 | 9,598 | # Blood Alcohol Level?
by Planarian
Tags: alcohol, blood
P: 12 1. The problem statement, all variables and given/known data A person will receive a DWI if his/her blood alcohol level (BAL) is 100mg per dL of blood or higher. Suppose a person is found to have a BAL of 0.033 mol of ethanol per liter of blood. Will the ... | 1,660 | 6,177 | {"found_math": false, "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, "ma... | 3.703125 | 4 | CC-MAIN-2014-15 | latest | en | 0.937287 |
https://cn.maplesoft.com/support/help/addons/view.aspx?path=Student%2FCalculus1%2FMeanValueTheorem | 1,716,480,165,000,000,000 | text/html | crawl-data/CC-MAIN-2024-22/segments/1715971058642.50/warc/CC-MAIN-20240523142446-20240523172446-00542.warc.gz | 147,786,798 | 24,215 | Mean Value Theorem - Maple Help
Student[Calculus1]
MeanValueTheorem
graphically display the mean value theorem
Calling Sequence MeanValueTheorem(f(x), x = a..b, opts) MeanValueTheorem(f(x), a..b, opts)
Parameters
f(x) - algebraic expression in variable 'x' x - name; specify the independent variable a, b - alge... | 1,279 | 4,864 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 20, "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... | 4.03125 | 4 | CC-MAIN-2024-22 | latest | en | 0.564613 |
https://www.pbs.org/wgbh/nova/teachers/activities/2405_sle1obel_01.html | 1,653,464,127,000,000,000 | text/html | crawl-data/CC-MAIN-2022-21/segments/1652662580803.75/warc/CC-MAIN-20220525054507-20220525084507-00259.warc.gz | 1,010,842,210 | 3,028 | Secrets of Lost Empires I—Obelisk Student Handout
You've got a massive stone to lift into place and plenty of people to help you, but all you get is a bunch of people grunting. What do you do? Turn to a lever, of course. NOVA's team of experts assumed this simple machine was available to ancient Egyptians and believed... | 512 | 2,166 | {"found_math": false, "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, "ma... | 3.875 | 4 | CC-MAIN-2022-21 | latest | en | 0.916156 |
https://www.gradesaver.com/textbooks/math/other-math/basic-college-mathematics-9th-edition/appendix-inductive-and-deductive-reasoning-appendix-exercises-page-a-5/1 | 1,537,277,828,000,000,000 | text/html | crawl-data/CC-MAIN-2018-39/segments/1537267155413.17/warc/CC-MAIN-20180918130631-20180918150631-00287.warc.gz | 605,532,038 | 11,675 | ## Basic College Mathematics (9th Edition)
Published by Pearson
# Appendix: Inductive and Deductive Reasoning - Appendix Exercises - Page A-5: 1
37
#### Work Step by Step
We are given the sequence $2, 9, 16, 23, 30...$ The pattern of this sequence is that each subsequent number is 7 more than the previous number. ... | 152 | 573 | {"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... | 3.96875 | 4 | CC-MAIN-2018-39 | longest | en | 0.888654 |
https://math.stackexchange.com/questions/597324/expectation-of-function-of-two-random-variables | 1,558,544,288,000,000,000 | text/html | crawl-data/CC-MAIN-2019-22/segments/1558232256887.36/warc/CC-MAIN-20190522163302-20190522185302-00224.warc.gz | 567,090,671 | 32,166 | # Expectation of function of two random variables
I have the random variables X and Y, with joint density function $f(x,y)$ over the plane $-\infty < x < \infty$ and $-\infty < y < \infty$. I am trying to find the expectation of $(X-Y)^2$.
Here is my strategy:
1) Let $Z=X-Y$
2) Find the cumulative distribution func... | 356 | 1,253 | {"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... | 3.609375 | 4 | CC-MAIN-2019-22 | latest | en | 0.855652 |
http://www.aaaknow.com/lessonFull.php?slug=vocabNumSets&menu=Eighth%20Grade | 1,656,795,889,000,000,000 | text/html | crawl-data/CC-MAIN-2022-27/segments/1656104204514.62/warc/CC-MAIN-20220702192528-20220702222528-00461.warc.gz | 68,765,711 | 5,829 | ## Number Sets
### Number Sets: Learn
For many aspect of mathematics and algebra, it is useful to be able to discuss a subset of all the known numbers. Here are the most common sets.
• Natural Numbers are the normal whole numbers used for counting and ordering, starting with 1, 2, 3, ... (Think: what's the most natu... | 537 | 2,361 | {"found_math": false, "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, "ma... | 4.625 | 5 | CC-MAIN-2022-27 | latest | en | 0.942254 |
http://mathematicalenquiries.blogspot.ch/2015/05/its-time-to-align-our-calendar-and.html | 1,527,094,640,000,000,000 | text/html | crawl-data/CC-MAIN-2018-22/segments/1526794865691.44/warc/CC-MAIN-20180523161206-20180523181206-00622.warc.gz | 190,534,431 | 23,796 | ## Friday, 22 May 2015
### It's time to align our calendar and clock to our base 10 number system.......
We began by looking at this image and discussed what we thought it was about. That led us to sharing what we knew about the French Revolution and the impacts that had on our governing system today. From this, I ex... | 1,330 | 6,219 | {"found_math": false, "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, "ma... | 3.703125 | 4 | CC-MAIN-2018-22 | latest | en | 0.963049 |
https://respia.tokyo/blog/2019/09/12/the-top-secret-truth-on-what-are-math-factors-uncovered/ | 1,601,176,329,000,000,000 | text/html | crawl-data/CC-MAIN-2020-40/segments/1600400250241.72/warc/CC-MAIN-20200927023329-20200927053329-00740.warc.gz | 597,487,089 | 8,843 | # What Everybody Dislikes About What Are Math Factors and Why
The most important problem for these students is the limited time that’s devoted to every notion. With an assortment of carefully designed activities to select from, your children will surely delight in studying as much as playing. On the early levels, howe... | 1,094 | 5,639 | {"found_math": false, "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, "ma... | 4.09375 | 4 | CC-MAIN-2020-40 | longest | en | 0.943486 |
https://www.southgladeprimary.co.uk/monday-1620/ | 1,722,646,451,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722640353668.0/warc/CC-MAIN-20240802234508-20240803024508-00441.warc.gz | 779,483,963 | 91,567 | Scroll to content
'Believe to Achieve'
# Monday 1.6.20
Maths
Starter
As usual you need to begin by practising your Gem Maths. After that you are going to continue to build your knowledge of numbers to 100. Before half term we had got to 80 so this week we are going to focus on the numbers from 80 to 90. Practic... | 505 | 2,101 | {"found_math": false, "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, "ma... | 4.375 | 4 | CC-MAIN-2024-33 | latest | en | 0.937793 |
https://metanumbers.com/55420 | 1,597,236,276,000,000,000 | text/html | crawl-data/CC-MAIN-2020-34/segments/1596439738892.21/warc/CC-MAIN-20200812112531-20200812142531-00403.warc.gz | 387,567,153 | 7,557 | ## 55420
55,420 (fifty-five thousand four hundred twenty) is an even five-digits composite number following 55419 and preceding 55421. In scientific notation, it is written as 5.542 × 104. The sum of its digits is 16. It has a total of 5 prime factors and 24 positive divisors. There are 20,736 positive integers (up to... | 1,501 | 4,176 | {"found_math": false, "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, "ma... | 3.734375 | 4 | CC-MAIN-2020-34 | latest | en | 0.790533 |
http://www.jiskha.com/display.cgi?id=1354373399 | 1,496,091,959,000,000,000 | text/html | crawl-data/CC-MAIN-2017-22/segments/1495463612553.95/warc/CC-MAIN-20170529203855-20170529223855-00413.warc.gz | 656,568,646 | 3,929 | # Calculus
posted by on .
d/dx[lnsquare root of(x^3) cube root of (x+3) fifth root of (3x-2)]
• Calculus - ,
are we taking ln of the whole thing??
d( ln [ (x^3)^(1/2) (x+3)^(1/3) (3x-2)^(1/5) ] /dx
let y = ln [ (x^3)^(1/2) (x+3)^(1/3) (3x-2)^(1/5) ]
remember ln(AB) = lnA + lnB
so our
y = ln (x^3)^(1/2) + ln (x+3)... | 322 | 621 | {"found_math": false, "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, "ma... | 3.671875 | 4 | CC-MAIN-2017-22 | latest | en | 0.792276 |
http://www.mathisfunforum.com/viewtopic.php?pid=33433 | 1,477,048,690,000,000,000 | text/html | crawl-data/CC-MAIN-2016-44/segments/1476988717963.49/warc/CC-MAIN-20161020183837-00031-ip-10-171-6-4.ec2.internal.warc.gz | 560,114,627 | 3,870 | Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °
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#1 2006-04-16 01:16:26
Stephen
Guest
Logical Rectangle-cylinder deriv
A rectangle has a perimeter of 15cm. What is it`s maximum volume if the rectangle starts spinning around one... | 879 | 2,864 | {"found_math": false, "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, "ma... | 4.15625 | 4 | CC-MAIN-2016-44 | longest | en | 0.856826 |
http://oeis.org/A115004 | 1,675,814,632,000,000,000 | text/html | crawl-data/CC-MAIN-2023-06/segments/1674764500664.85/warc/CC-MAIN-20230207233330-20230208023330-00136.warc.gz | 35,719,863 | 5,705 | The OEIS is supported by the many generous donors to the OEIS Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A115004 a(n) = Sum_{i=1..n, j=1..n, gcd(i,j)=1} (n+1-i)*(n+1-j). 94
1, 8, 31, 80, 179, 332, 585, 948, 1463, 2136, 3065, 4216, 5729, 7568, 9797, 12456, 15737, 19520, 24087, ... | 1,698 | 4,233 | {"found_math": false, "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, "ma... | 3.78125 | 4 | CC-MAIN-2023-06 | latest | en | 0.71448 |
https://www.khanacademy.org/math/arithmetic/x18ca194a:divide-with-remainders/x18ca194a:remainders/a/interpreting-remainders | 1,723,428,812,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722641023489.70/warc/CC-MAIN-20240811235403-20240812025403-00673.warc.gz | 631,583,980 | 122,719 | If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
### Course: Arithmetic>Unit 8
Lesson 1: Remainders
# Interpreting remainders
Interpret remainder... | 566 | 2,178 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 62, "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... | 4.25 | 4 | CC-MAIN-2024-33 | latest | en | 0.910723 |
http://continuouswave.com/forum/viewtopic.php?f=4&t=6050&sid=e9e23e726be0b59973602f5147e5f399&view=print | 1,619,157,746,000,000,000 | text/html | crawl-data/CC-MAIN-2021-17/segments/1618039601956.95/warc/CC-MAIN-20210423041014-20210423071014-00331.warc.gz | 23,688,194 | 4,318 | Page 1 of 1
### Effect on Towed MPG of Weight Saved by Aluminum Trailer
Posted: Fri Dec 04, 2020 8:31 pm
I have the standard steel trailer for my 170 MONTAUK. If one did a lot of towing of a 170 MONTAUK boat on a trailer, a lighter aluminum trailer would save a lot in fuel costs.
### Re: Effect of Towed MPG of Weigh... | 1,898 | 7,171 | {"found_math": false, "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, "ma... | 3.515625 | 4 | CC-MAIN-2021-17 | latest | en | 0.943032 |
http://docplayer.net/26994743-2-1-systems-of-linear-equations.html | 1,555,620,292,000,000,000 | text/html | crawl-data/CC-MAIN-2019-18/segments/1555578526807.5/warc/CC-MAIN-20190418201429-20190418223429-00467.warc.gz | 48,892,456 | 27,322 | # 2.1 Systems of Linear Equations
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## Transcription
1 . Systems of Linear Equations Question : What is a system of linear equations? Question : Where do systems of equations come from? In Chapter, we looked at several applications of linear functions. One set of line... | 10,741 | 46,258 | {"found_math": false, "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, "ma... | 4.5625 | 5 | CC-MAIN-2019-18 | latest | en | 0.940451 |
https://www.physicsforums.com/threads/ideal-gas-law.118952/ | 1,545,142,093,000,000,000 | text/html | crawl-data/CC-MAIN-2018-51/segments/1544376829399.59/warc/CC-MAIN-20181218123521-20181218145521-00233.warc.gz | 988,655,772 | 14,272 | # Homework Help: Ideal Gas Law
1. Apr 27, 2006
### willydavidjr
The diagram below shows state changes of an ideal gas. The temperature of states (1), (2), (3) are $$T_1[K], T_2[K]$$ and $$T_3[K]$$ respectively. The state change from (1) to (2) is an adiabatic change (not an isothermal change). The state change from ... | 801 | 2,796 | {"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... | 3.5625 | 4 | CC-MAIN-2018-51 | latest | en | 0.884065 |
https://www.freshers.in/aptitude/aptitude-area/ | 1,721,315,146,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763514831.13/warc/CC-MAIN-20240718130417-20240718160417-00193.warc.gz | 671,864,714 | 18,780 | # Aptitude-Area
(1) The parallel sides of a trapezoid are 10 meters and 22 meters, respectively, and the height is 15 meters. What is the area of the trapezoid?
• (a) 240 sq m
• (b) 240 sq m
• (c) 320 sq m
• (d) 400 sq m
(2) A circle is perfectly inscribed in a square. If the side of the square is 14 cm, what is the... | 377 | 953 | {"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... | 3.765625 | 4 | CC-MAIN-2024-30 | latest | en | 0.703848 |
https://www.8822.in/03303633117.html | 1,569,244,831,000,000,000 | text/html | crawl-data/CC-MAIN-2019-39/segments/1568514576965.71/warc/CC-MAIN-20190923125729-20190923151729-00488.warc.gz | 763,236,813 | 3,877 | Information about the 03303633117 number. | 8822.in
03303633117
My Own Way
Numbers Look-up:
Curiosities and FactsSite Maps
• 03303633117 seconds correspond to 104 years, 276 days, 11 hours, 51 minutes and 57seconds.
• Let's do a mathematical trick with the number 0363311:
Take the first three digits: 036.
Multi... | 636 | 2,306 | {"found_math": false, "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, "ma... | 3.65625 | 4 | CC-MAIN-2019-39 | latest | en | 0.911272 |
https://community.anaplan.com/t5/Blog/The-Truth-About-Sparsity-Part-1/bc-p/49215/highlight/true | 1,643,363,182,000,000,000 | text/html | crawl-data/CC-MAIN-2022-05/segments/1642320305423.58/warc/CC-MAIN-20220128074016-20220128104016-00301.warc.gz | 228,953,241 | 25,146 | The Truth About Sparsity: Part 1
Master Anaplanner/Community Boss
Throughout my five-plus years at Anaplan the conventional wisdom has been that we should eliminate sparsity in order to model efficiently. Throughout the last year, as part of the PLANS standards initiative, we have been critically re-evaluating all of... | 1,612 | 7,288 | {"found_math": false, "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, "ma... | 3.5 | 4 | CC-MAIN-2022-05 | latest | en | 0.914701 |
https://www.geeksforgeeks.org/gre-algebra-rules-of-exponent/?ref=rp | 1,679,752,834,000,000,000 | text/html | crawl-data/CC-MAIN-2023-14/segments/1679296945333.53/warc/CC-MAIN-20230325130029-20230325160029-00772.warc.gz | 874,776,990 | 25,746 | # GRE Algebra | Rules of Exponent
• Last Updated : 24 Apr, 2019
In algebraic expression xm, x is the base and m is the exponent. For all positive number of x except x=1, if an equation contain xm = xn then it will be only possible when m = n.
Here are basic rules of Exponents:
1. If a number raised to the power zer... | 487 | 1,602 | {"found_math": false, "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, "ma... | 4.65625 | 5 | CC-MAIN-2023-14 | latest | en | 0.778053 |
https://www.tutorialspoint.com/state-whether-a-given-pair-of-terms-is-of-like-or-unlike-terms-i-1-100-ii-7x-frac-5-2-x-iii-29x-29y-iv-14xy-42yx-v-4m-2p-4mp-2-vi-12xz-12x-2y-2 | 1,670,175,668,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446710978.15/warc/CC-MAIN-20221204172438-20221204202438-00446.warc.gz | 1,095,204,450 | 9,910 | # State whether a given pair of terms is of like or unlike terms.$(i)$. $1,\ 100$$(ii). -7x,\ \frac{5}{2}x$$(iii)$. $-29x,\ -29y$$(iv). 14xy,\ 42yx$$(v)$. $4m^2p,\ 4mp^2$$(vi)$. $12xz,\ 12x^2y^2$
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#### Artificial Intelligence & Machine Learning Prime Pack
6 Cour... | 442 | 1,264 | {"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-2022-49 | latest | en | 0.74332 |
http://mytestbook.com/test_questions.aspx?test_id=1295&topics=Number%20and%20Number%20Sense%20Number%20Manipulation%20Order%20decimals,%20Fractions,%20Percents,%20and%20Scientific%20Notation&subject=Math&grade=8 | 1,521,934,698,000,000,000 | text/html | crawl-data/CC-MAIN-2018-13/segments/1521257651465.90/warc/CC-MAIN-20180324225928-20180325005928-00741.warc.gz | 207,464,395 | 6,566 | you are taking the following test:
Grade: 8, Subject: Math, Topic: Number and Number Sense Number Manipulation Order decimals, Fractions, Percents, and Scientific Notation
Question 1: Five-ninth of 6.3 × 1019 = ______ 3.5 × 1019 5.9 × 1019 9.2 × 1019 6 × 1019
Question 2: A plant grows 2.75 times every month. G... | 656 | 1,966 | {"found_math": false, "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, "ma... | 3.921875 | 4 | CC-MAIN-2018-13 | longest | en | 0.945874 |
https://www.fmaths.com/square-root/what-is-the-square-root-of-162.html | 1,632,773,685,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780058467.95/warc/CC-MAIN-20210927181724-20210927211724-00468.warc.gz | 791,972,252 | 10,823 | # What Is The Square Root Of 162?
## What is the simplified square root of 162?
√ 162 = 9√2 Please enter another square root in the box below for us to simplify.
## What squared equals 162?
The square root of 162 is 9√ 2 or approximately 12.72792. To solve the square root, you can use mental math to see if any of i... | 858 | 2,941 | {"found_math": false, "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, "ma... | 4.09375 | 4 | CC-MAIN-2021-39 | latest | en | 0.890019 |
https://www.webassign.net/features/textbooks/laratrmrp7/details.html?toc=1&l=publisher | 1,632,781,290,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780058552.54/warc/CC-MAIN-20210927211955-20210928001955-00602.warc.gz | 1,063,332,407 | 18,662 | # Algebra & Trigonometry: Real Math, Real People 7th edition
Ron Larson
Publisher: Cengage Learning
## Personal Study Plan Module
Your students can use chapter and section assessments to gauge their mastery of the material and generate individualized study plans that include various online, interactive multimedia re... | 13,220 | 28,198 | {"found_math": false, "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, "ma... | 3.640625 | 4 | CC-MAIN-2021-39 | latest | en | 0.794499 |
http://en.wikipedia.org/wiki/Socle_(mathematics) | 1,419,113,056,000,000,000 | text/html | crawl-data/CC-MAIN-2014-52/segments/1418802770400.105/warc/CC-MAIN-20141217075250-00067-ip-10-231-17-201.ec2.internal.warc.gz | 91,585,649 | 10,699 | # Socle (mathematics)
In mathematics, the term socle has several related meanings.
## Socle of a group
In the context of group theory, the socle of a group G, denoted soc(G), is the subgroup generated by the minimal normal subgroups of G. It can happen that a group has no minimal non-trivial normal subgroup (that is... | 745 | 2,964 | {"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": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.71875 | 4 | CC-MAIN-2014-52 | latest | en | 0.923857 |
https://paperfree.com/en/Magazine/Dispersion | 1,675,580,145,000,000,000 | text/html | crawl-data/CC-MAIN-2023-06/segments/1674764500250.51/warc/CC-MAIN-20230205063441-20230205093441-00829.warc.gz | 462,817,442 | 8,250 | Deviation
Without knowing something about how data is dispersed, measures of central tendency may be misleading. For example, a residential street with 20 homes on it having a mean value of \$200,000 with little variation from the mean would be very different from a street with the same mean home value but with 3 home... | 419 | 2,181 | {"found_math": false, "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, "ma... | 3.921875 | 4 | CC-MAIN-2023-06 | longest | en | 0.94253 |
http://www.soidergi.com/2019/10/cartesian-vector-form/a-which-pair-s-of-vectors-form-opposite-vectors/ | 1,597,447,875,000,000,000 | text/html | crawl-data/CC-MAIN-2020-34/segments/1596439740343.48/warc/CC-MAIN-20200814215931-20200815005931-00569.warc.gz | 171,679,528 | 5,773 | # A Which Pair S Of Vectors Form Opposite Vectors
This post categorized under Vector and posted on October 21st, 2019.
This A Which Pair S Of Vectors Form Opposite Vectors has 1024 x 1365 pixel resolution with jpeg format. Express F1 In Cartesian Vector Form, Cartesian Equation To Vector Form, Cartesian Component For... | 546 | 2,677 | {"found_math": false, "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, "ma... | 3.6875 | 4 | CC-MAIN-2020-34 | latest | en | 0.897286 |
https://googology.wikia.org/wiki/Googolquadriplex | 1,631,859,766,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780055601.25/warc/CC-MAIN-20210917055515-20210917085515-00711.warc.gz | 323,569,086 | 43,343 | 11,328
pages
"Googoltetraplex" redirects here. It is not to be confused with googolteraplex.
A googolquadriplex is a number equal to one with a googoltriplex zeroes after it, or 1010101010100.[1] The term was coined by Sbiis Saibian. There are several variants of the name of this number, which are unofficially coined ... | 504 | 1,602 | {"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... | 3.5 | 4 | CC-MAIN-2021-39 | latest | en | 0.780881 |
https://www.teacherspayteachers.com/Product/Rational-Numbers-Grade-7-3607435 | 1,542,135,796,000,000,000 | text/html | crawl-data/CC-MAIN-2018-47/segments/1542039741340.11/warc/CC-MAIN-20181113173927-20181113195927-00233.warc.gz | 996,721,026 | 20,228 | Subject
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In this unit, we study rational numbers, which are numbers that can be written as a ratio of two integers. All fractions and whole numbers are rational numbers, and so are percents ... | 406 | 2,186 | {"found_math": false, "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, "ma... | 4.1875 | 4 | CC-MAIN-2018-47 | latest | en | 0.930547 |
https://easyexamnotes.com/p/in-a-city-there-are-100000-people-64-of-them-speak-greek-55-people-speak-latin-43-p.html | 1,656,264,873,000,000,000 | text/html | crawl-data/CC-MAIN-2022-27/segments/1656103271763.15/warc/CC-MAIN-20220626161834-20220626191834-00059.warc.gz | 267,167,247 | 15,987 | # In a city there are 100000 people, 64% of them speak Greek, 55% people speak Latin, 43% p
#### DAVV MBA PYQ
In a city there are 100000 people, 64% of them speak Greek, 55% people speak Latin, 43% people speak French, 21% people speak both Greek and Latin, 31% people speak both Greek and French, and 41% people speak... | 549 | 1,519 | {"found_math": false, "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, "ma... | 4.1875 | 4 | CC-MAIN-2022-27 | latest | en | 0.924402 |
https://math.stackexchange.com/questions/1729779/prove-that-an-edge-e-is-contained-in-a-cycle-iff-e-is-not-a-cut-edge-in-a-si | 1,566,788,773,000,000,000 | text/html | crawl-data/CC-MAIN-2019-35/segments/1566027330962.67/warc/CC-MAIN-20190826022215-20190826044215-00051.warc.gz | 539,318,716 | 31,428 | # Prove that an edge $e$ is contained in a cycle iff $e$ is not a cut edge in a simple graph $G$.
I am trying to finish up a proof and I'm struggling to put my ideas into words more than trying to figure out what's going on.
I have the following proof template outline for this proof.
Proof.
Let $e$ be an edge of a g... | 709 | 2,728 | {"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-2019-35 | latest | en | 0.958958 |
https://socratic.org/questions/how-do-you-integrate-x-1-x-4 | 1,721,732,563,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763518029.87/warc/CC-MAIN-20240723102757-20240723132757-00618.warc.gz | 468,131,054 | 5,735 | # How do you integrate x/(1+x^4)?
$\int \frac{x}{1 + {x}^{4}} \mathrm{dx} = \frac{1}{2} \arctan \left({x}^{2}\right)$
$\int \frac{x}{1 + {x}^{4}} \mathrm{dx} = \frac{1}{2} \int \frac{2 x \mathrm{dx}}{1 + {\left({x}^{2}\right)}^{2}} = \frac{1}{2} \int \frac{d \left({x}^{2}\right)}{1 + {\left({x}^{2}\right)}^{2}} = \tex... | 236 | 481 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 4, "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-2024-30 | latest | en | 0.314629 |
http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Hackenberg/AmysWUp4/Explore.html | 1,702,076,449,000,000,000 | text/html | crawl-data/CC-MAIN-2023-50/segments/1700679100779.51/warc/CC-MAIN-20231208212357-20231209002357-00099.warc.gz | 21,552,294 | 2,582 | ## Exploring with the Nine-Point Circle
### ...a few answers and some more questions...
#### The center of the Nine-Point Circle (N) has a special relationship to the triangle ABC. What is that relationship? Are there any other relationships you can find between N and other special triangles (i.e., the medial triangl... | 879 | 3,768 | {"found_math": false, "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, "ma... | 4.46875 | 4 | CC-MAIN-2023-50 | latest | en | 0.905297 |
https://spot.pcc.edu/slc/mathresources/output/html/trigonometry-special-angles.html | 1,580,275,135,000,000,000 | text/html | crawl-data/CC-MAIN-2020-05/segments/1579251788528.85/warc/CC-MAIN-20200129041149-20200129071149-00423.warc.gz | 661,103,406 | 15,920 | Skip to main content
## Section16.3Special Angles/Reference Angles
##### Trigonometric Values of $30^{\circ}\text{,}$ $45^{\circ}\text{,}$ and $60^{\circ}$.
As illustrated in FigureĀ 16.3.1, an angle of measurement $45^{\circ}$ drawn in standard position lies along the line with equation $y=x\text{.}$ This is becaus... | 8,975 | 26,204 | {"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-2020-05 | latest | en | 0.606791 |
https://documen.tv/question/the-graph-below-shows-the-distances-in-miles-that-a-dragonfly-can-travel-in-a-certain-number-of-22330435-3/ | 1,632,350,774,000,000,000 | text/html | crawl-data/CC-MAIN-2021-39/segments/1631780057403.84/warc/CC-MAIN-20210922223752-20210923013752-00534.warc.gz | 243,903,005 | 15,978 | ## The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours: A graph titled Motion o
Question
The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:
A graph titled Motion of a Dragonfly shows Time in hours on the x axis ... | 430 | 1,588 | {"found_math": false, "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, "ma... | 3.953125 | 4 | CC-MAIN-2021-39 | latest | en | 0.877695 |
http://brainstellar.com/puzzles/hard/203 | 1,558,654,343,000,000,000 | text/html | crawl-data/CC-MAIN-2019-22/segments/1558232257432.60/warc/CC-MAIN-20190523224154-20190524010154-00407.warc.gz | 32,498,866 | 6,106 | ## Hard puzzles
What is the expected distance of any point on Earth and the north pole? Take Earth radius 1.
Clarification: Shortest distance cuts through the sphere, instead of lying on surface.
Further thinking: Is this question same as choosing two random points on unit sphere and asking their expected distance?
... | 356 | 1,725 | {"found_math": false, "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, "ma... | 3.546875 | 4 | CC-MAIN-2019-22 | latest | en | 0.940546 |
https://www.turito.com/learn/physics/free-fall-grade-10 | 1,716,907,304,000,000,000 | text/html | crawl-data/CC-MAIN-2024-22/segments/1715971059139.85/warc/CC-MAIN-20240528123152-20240528153152-00279.warc.gz | 883,490,488 | 31,661 | #### Need Help?
Get in touch with us
# Free Fall – Introduction, Explanation & Case Study
Aug 24, 2022
## Key Concepts:
• Mass and Weight
• Freefall
• Weightlessness
## Introduction:
The mass of an object tells us how much matter it is composed of. It is measured in kilogram. The weight of an object is the force... | 1,889 | 7,328 | {"found_math": false, "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, "ma... | 4.0625 | 4 | CC-MAIN-2024-22 | latest | en | 0.914258 |
https://mathoverflow.net/questions/385597/linear-independence-of-algebraic-integers-of-equal-norm | 1,696,352,818,000,000,000 | text/html | crawl-data/CC-MAIN-2023-40/segments/1695233511170.92/warc/CC-MAIN-20231003160453-20231003190453-00823.warc.gz | 426,315,565 | 27,286 | Linear independence of algebraic integers of equal norm
Let $$K$$ be a number field with $$[K:\mathbb{Q}]=n$$ with $$n \geq 2$$ and let $$\mathcal{O}_K$$ be its ring of integers. Suppose that $$\alpha_1, \cdots, \alpha_n \in \mathcal{O}_K$$ are distinct algebraic integers such that $$N_{K/\mathbb{Q}}(\alpha_j) = a$$ f... | 1,177 | 3,306 | {"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... | 3.5 | 4 | CC-MAIN-2023-40 | latest | en | 0.796744 |
https://studylib.net/doc/8838991/ecs-289---mae-298--network-theory-spring-2014-problem-set. | 1,611,393,017,000,000,000 | text/html | crawl-data/CC-MAIN-2021-04/segments/1610703536556.58/warc/CC-MAIN-20210123063713-20210123093713-00634.warc.gz | 577,217,996 | 14,266 | # ECS 289 / MAE 298, Network Theory Spring 2014 Problem Set # 1 b
```ECS 289 / MAE 298, Network Theory
Spring 2014
Problem Set # 1 b, Solutions
Problem 1
Consider BA but with uniform rather than preferential attachment, Pij = 1/
P
dj = 1/t.
Let nk,t denote number of nodes of degree k at time t. We need to consider nod... | 1,007 | 2,670 | {"found_math": false, "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, "ma... | 3.90625 | 4 | CC-MAIN-2021-04 | latest | en | 0.838082 |
https://www.coursehero.com/file/6795920/picard/ | 1,493,057,295,000,000,000 | text/html | crawl-data/CC-MAIN-2017-17/segments/1492917119642.3/warc/CC-MAIN-20170423031159-00114-ip-10-145-167-34.ec2.internal.warc.gz | 868,506,371 | 21,891 | # picard - The Little Picard Theorem and Its Proof November...
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Unformatted... | 635 | 2,143 | {"found_math": false, "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, "ma... | 3.796875 | 4 | CC-MAIN-2017-17 | longest | en | 0.864267 |
https://www.mathxplain.com/calculus-3/functions-of-two-variables/the-equation-of-the-tangent-plane | 1,723,611,036,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722641095791.86/warc/CC-MAIN-20240814030405-20240814060405-00462.warc.gz | 679,006,311 | 16,811 | The equation of the tangent plane | mathXplain
Összes egyetemi tantárgy
Legnépszerűbb tantárgyak:
Contents of this Calculus 3 episode:
Tangent plane, Equation of the tangent plane, Partial differentiation, Normal vector of the plane.
Text of slideshow
If we remember, the geometric interpretation of the derivative i... | 538 | 2,409 | {"found_math": false, "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, "ma... | 4.65625 | 5 | CC-MAIN-2024-33 | latest | en | 0.886629 |
https://www.jiskha.com/questions/50658/find-all-extrema-in-the-interval-0-2pi-if-y-sinx-cosx-and-also-a-certain-item-sells | 1,603,793,234,000,000,000 | text/html | crawl-data/CC-MAIN-2020-45/segments/1603107893845.76/warc/CC-MAIN-20201027082056-20201027112056-00427.warc.gz | 771,964,681 | 5,508 | # calculus
find all extrema in the interval [0, 2pi] if y=sinx + cosx
and also
a certain item sells for \$30. if the cost of producing this item is given by C=.05^3 + 100, find the mariginal profit when x=10.
1. 👍 0
2. 👎 0
3. 👁 1,740
1. To find the extrema, do the First Derivative Test.
y = sinx + cos x
y'= cos... | 1,256 | 3,372 | {"found_math": false, "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, "ma... | 3.84375 | 4 | CC-MAIN-2020-45 | longest | en | 0.724506 |
https://tutorial.math.lamar.edu/Extras/AlgebraTrigReview/Exponents.aspx | 1,620,668,672,000,000,000 | text/html | crawl-data/CC-MAIN-2021-21/segments/1620243991759.1/warc/CC-MAIN-20210510174005-20210510204005-00639.warc.gz | 579,265,095 | 15,359 | Paul's Online Notes
Home / Algebra Trig Review / Algebra / Exponents
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General Notice
This is a little bit in advance, but I wanted to let everyone know that my servers will be undergoing some maintenance on May 17 and May 18 during 8:00 AM CST until 2... | 1,999 | 5,379 | {"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... | 3.84375 | 4 | CC-MAIN-2021-21 | longest | en | 0.760041 |
https://blog.muchance.jp/entry/2017/06/26/233000 | 1,720,853,364,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763514490.70/warc/CC-MAIN-20240713051758-20240713081758-00823.warc.gz | 105,859,336 | 8,685 | # Project Euler 39
• 問題
Problem 39：Integer right triangles
If p is the perimeter of a right angle triangle with integral length sides, {a,b,c}, there are exactly three solutions for p = 120.
{20,48,52}, {24,45,51}, {30,40,50}
For which value of p ≤ 1000, is the number of solutions maximised?
• 解答例
```limit = 1000
... | 242 | 622 | {"found_math": false, "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, "ma... | 3.65625 | 4 | CC-MAIN-2024-30 | latest | en | 0.64938 |
https://becalculator.com/135-cm-to-inch-converter-2.html | 1,721,447,303,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763514981.25/warc/CC-MAIN-20240720021925-20240720051925-00451.warc.gz | 113,094,465 | 16,097 | # 135 cm to inch converter
## FAQs on 135 cm to inch
### How many inches is in a centimeter?
If you want to convert 135 cm into a number in inches, first you need to know how many inches 1 centimeter equals.
Here I can give you a direct indication that one cm is equal to 0.3937 inches.
### How do I convert 1 cm to... | 629 | 2,039 | {"found_math": false, "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, "ma... | 3.53125 | 4 | CC-MAIN-2024-30 | latest | en | 0.826573 |
https://ischool.sg/questions/hashtag?type=all&tag=Bar+graph&level=Primary+5 | 1,582,837,627,000,000,000 | text/html | crawl-data/CC-MAIN-2020-10/segments/1581875146809.98/warc/CC-MAIN-20200227191150-20200227221150-00119.warc.gz | 419,857,554 | 34,462 | Level 1
The graph shows the number of story books borrowed from a library over 4 days. What is the total number of story books borrowed from Monday to Thursday?
1 m
Level 1
The graph shows the types of sports that children play in a primary school. What percentage of the children play badminton?
1 m
Level 1
The bar gra... | 489 | 1,954 | {"found_math": false, "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, "ma... | 3.734375 | 4 | CC-MAIN-2020-10 | latest | en | 0.955273 |
http://www.transtutors.com/math-homework-help/laws-of-triangle/properties-of-triangle.aspx | 1,511,407,954,000,000,000 | text/html | crawl-data/CC-MAIN-2017-47/segments/1510934806720.32/warc/CC-MAIN-20171123031247-20171123051247-00526.warc.gz | 526,553,746 | 15,329 | ## Properties of Triangles
In a triangle ABC, the angles are denoted by capital letters A, B, and C and the lengths of the sides opposite to these angles are denoted by small letters a, b, and c respectively. Semi-perimeter of the triangle is written as s = a + b + c /2, and its area denoted by S or ∆.
• Sine Rule ... | 562 | 2,038 | {"found_math": false, "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, "ma... | 3.796875 | 4 | CC-MAIN-2017-47 | latest | en | 0.878686 |
https://math.stackexchange.com/questions/2476669/finding-extremal-of-the-functional | 1,571,755,595,000,000,000 | text/html | crawl-data/CC-MAIN-2019-43/segments/1570987822098.86/warc/CC-MAIN-20191022132135-20191022155635-00384.warc.gz | 577,047,564 | 31,506 | # Finding extremal of the functional
Find the stationary point of the functional $$J[y]=\int \left( x^2y'^2+2y^2 \right) dx$$ where $y(0)=0, y(1)=2.$
My Solution:
E-L equation: $x^2y''+2xy'-2y=0.$
This is also Cauchy-Euler equation.
Let $y(x)=x^m$. Substituting to eqn. , we get $m_1=-2, m_2=1$ and I found the gene... | 453 | 1,186 | {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mat... | 3.984375 | 4 | CC-MAIN-2019-43 | latest | en | 0.798074 |
https://www.physicsforums.com/threads/prove-that-the-bth-projection-map-is-continuous-and-open.328571/ | 1,623,991,431,000,000,000 | text/html | crawl-data/CC-MAIN-2021-25/segments/1623487635724.52/warc/CC-MAIN-20210618043356-20210618073356-00029.warc.gz | 835,907,812 | 15,341 | # Prove that the bth projection map is continuous and open.
I am trying to prove that the bth projection map Pb:$$\Pi$$Xa --> Xb is both continuous and open. I have already done the problem but I would like to check it.
1) Continuity:
Consider an open set Ub in Xb, then Pb-1(Ub) is an element of the base for the Tyc... | 663 | 2,337 | {"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... | 3.5625 | 4 | CC-MAIN-2021-25 | latest | en | 0.947961 |
http://code4use.com/welcome/sqroot | 1,709,323,694,000,000,000 | text/html | crawl-data/CC-MAIN-2024-10/segments/1707947475701.61/warc/CC-MAIN-20240301193300-20240301223300-00568.warc.gz | 6,924,213 | 6,085 | # Square Root Calculator
This is just a quick and easy online square root calculator. Just enter a number on the left and click the calculator button to get your answer.
Enter your number, on the left side, in place of the X and click the "Calcuate Square Root" button. Your answer will appear on the right hand side. ... | 368 | 1,491 | {"found_math": false, "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, "ma... | 3.875 | 4 | CC-MAIN-2024-10 | latest | en | 0.941125 |
https://chandanbhagat.com.np/docs/numerical-methods/solution-of-nonlinear-equations/newton-raphson-method/ | 1,721,336,011,000,000,000 | text/html | crawl-data/CC-MAIN-2024-30/segments/1720763514859.56/warc/CC-MAIN-20240718191743-20240718221743-00837.warc.gz | 145,081,528 | 16,000 | 1. Home
2. Docs
3. Numerical Methods
4. Solution of Nonlinear Equations
5. Newton-Raphson Method
# Newton-Raphson Method
Table of Contents
## Introduction
Consider a graph below of . Let us consider is an approximate root of . Draw a tangent at the curve at as shown in figure aside. The point of intersection of thi... | 551 | 1,759 | {"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... | 4.15625 | 4 | CC-MAIN-2024-30 | latest | en | 0.641569 |
http://furthermathematicst.blogspot.com/2011/08/161-scatter-diagrams.html | 1,555,949,575,000,000,000 | text/html | crawl-data/CC-MAIN-2019-18/segments/1555578558125.45/warc/CC-MAIN-20190422155337-20190422181337-00248.warc.gz | 70,290,432 | 14,159 | Monday, August 8, 2011
16.1 – Scatter Diagrams
A scatter diagram is a diagram produced when pairs of values are plotted, to determine the relationship between 2 variables. Usually a scatter diagram contains bivariate data, which is data connecting 2 variables, x and y. Using the usual convention, x is the independent... | 551 | 2,667 | {"found_math": false, "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, "ma... | 4.40625 | 4 | CC-MAIN-2019-18 | latest | en | 0.95309 |
https://s73653.gridserver.com/16mvf2/alternate-interior-angles-converse-d4efe2 | 1,670,115,192,000,000,000 | text/html | crawl-data/CC-MAIN-2022-49/segments/1669446710953.78/warc/CC-MAIN-20221204004054-20221204034054-00490.warc.gz | 528,176,820 | 10,331 | ANSWER: j || k; alternate interior angles converse 3. Whats people lookup in this blog: Alternate Interior Angle Converse Theorem Proof Non Example: Alternate Interior Angles Converse Theorem: If 2 lines are cut by a transversal so the alternate interior angles are _____, then the lines are _____. The Alternate Interio... | 6,768 | 29,832 | {"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... | 4.3125 | 4 | CC-MAIN-2022-49 | latest | en | 0.787795 |
https://www.physicsforums.com/threads/metric-space-proof.429654/ | 1,544,450,956,000,000,000 | text/html | crawl-data/CC-MAIN-2018-51/segments/1544376823339.35/warc/CC-MAIN-20181210123246-20181210144746-00247.warc.gz | 1,010,459,802 | 13,321 | # Metric space proof
1. Sep 16, 2010
### mynameisfunk
ok i am stumped on a proof i am trying to construct of a metric:
d(x,y)=$$\frac{|x-y|}{1+|x-y|}$$
so, out of the 3 requirements to be a metric, the first 2 are trivial and I am just working on proving the triangle inequality...
i need $$\frac{|x-y|}{1+|x-y|}$$ ... | 561 | 1,761 | {"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... | 3.953125 | 4 | CC-MAIN-2018-51 | latest | en | 0.889906 |
https://math.stackexchange.com/questions/745306/mean-time-spent-in-transient-states-markov-chain/745546 | 1,723,093,401,000,000,000 | text/html | crawl-data/CC-MAIN-2024-33/segments/1722640719674.40/warc/CC-MAIN-20240808031539-20240808061539-00678.warc.gz | 299,069,921 | 37,436 | # Mean time spent in transient states/Markov chain
I dont get this in my book:
For transient states $i$ and $j$ , let $s_{ij}$ denote the expected number of time periods that the markov chain is in state $j$ , given that it starts in state $i$. Let $\delta_{i,j} = 1$ when $i = j$ and let it be $0$ otherwise.Condition... | 698 | 2,166 | {"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... | 3.828125 | 4 | CC-MAIN-2024-33 | latest | en | 0.814396 |
http://www.markedbyteachers.com/gcse/maths/maths-coursework-2.html | 1,527,226,896,000,000,000 | text/html | crawl-data/CC-MAIN-2018-22/segments/1526794867041.69/warc/CC-MAIN-20180525043910-20180525063910-00577.warc.gz | 415,863,381 | 21,975 | • Join over 1.2 million students every month
• Accelerate your learning by 29%
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• Level: GCSE
• Subject: Maths
• Word count: 3998
# Maths Coursewor... | 2,393 | 8,016 | {"found_math": false, "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, "ma... | 4 | 4 | CC-MAIN-2018-22 | latest | en | 0.909202 |
https://www.drrphysics.com/1-1-measurements-in-physics | 1,701,327,160,000,000,000 | text/html | crawl-data/CC-MAIN-2023-50/segments/1700679100172.28/warc/CC-MAIN-20231130062948-20231130092948-00391.warc.gz | 860,853,566 | 178,261 | top of page
# 1.1. Measurements in Physics
Physics is all about measuring 'stuff in the universe'. Whether that is measuring the temperature of a cup of tea cooling or the wavelength of gamma rays from a radioactive source: at the core of it, Physics is still all about measuring stuff.
​
This section is mostly ge... | 2,887 | 11,769 | {"found_math": false, "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, "ma... | 3.9375 | 4 | CC-MAIN-2023-50 | longest | en | 0.922804 |
https://convertoctopus.com/7924-meters-to-yards | 1,675,829,017,000,000,000 | text/html | crawl-data/CC-MAIN-2023-06/segments/1674764500671.13/warc/CC-MAIN-20230208024856-20230208054856-00273.warc.gz | 204,496,184 | 7,377 | Conversion formula
The conversion factor from meters to yards is 1.0936132983377, which means that 1 meter is equal to 1.0936132983377 yards:
1 m = 1.0936132983377 yd
To convert 7924 meters into yards we have to multiply 7924 by the conversion factor in order to get the length amount from meters to yards. We can als... | 500 | 1,774 | {"found_math": false, "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, "ma... | 4.3125 | 4 | CC-MAIN-2023-06 | latest | en | 0.916131 |
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