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I'm stumped
Printable View
• Sep 9th 2007, 12:49 PM
Freaky-Person
I'm stumped
A few question on my trig assignment... It's not going all that well.. I worked hard on the LaTex...
1. Simplify: $\displaystyle \frac{\tan(\frac{\pi}{4} - x) - \tan(\frac{\pi}{4} + x)}{\tan x}$
2. Solve for x, $\displaystyle 0 \leq x \le... | HuggingFaceTB/finemath | |
# Chapter 13 Gas Mixtures Study Guide in PowerPoint to accompany Thermodynamics: An Engineering Approach, 5th edition by Yunus A. Çengel and Michael.
## Presentation on theme: "Chapter 13 Gas Mixtures Study Guide in PowerPoint to accompany Thermodynamics: An Engineering Approach, 5th edition by Yunus A. Çengel and Mic... | HuggingFaceTB/finemath | |
The fraction of 140% is 1.4. This means that 140% is equal to 1.4 times the original number.
## The fraction of 140%
When a number is multiplied by 1.4, the result is 140%. This means that the number is increased by 40%.
How much does a sheet of 5/8 Type X drywall weight?
## What 140% means
When a number is multip... | HuggingFaceTB/finemath | |
1. ## Complex Number Proof
For the complex equation $\displaystyle z^4 = cosx + isinx$, prove that the sum of the four solutions is always zero, no matter what size $\displaystyle x$ is.
This is what I've done so far.
$\displaystyle Z = (cis(x + 360k))^1^/^4 = cis(x/4 + 90k)$
Can someone please teach me how to do t... | HuggingFaceTB/finemath | |
# 11.8: Sums of Integers with Different Signs
Difficulty Level: At Grade Created by: CK-12
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# Mathematics 1050 Fall 2009 Final Exam ```NAME: ________________________
ID: _________________
SECTION: 1050-02
HOUSLEY
Mathematics 1050 Fall 2009
Final Exam
Instructions: Complete the problems on the exam, showing all the steps you
used to arrive at the answers, so that partial credit may be assigned for correct
in t... | HuggingFaceTB/finemath | |
# The diameter of the moon is approximately one-fourth of the diameter of the earth.
Question:
The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface areas.
Solution:
Let the diameter of the earth be d
Then,
Diameter of moon will be d/4
Radius of moon $... | HuggingFaceTB/finemath | |
## A Maths Starter of The Day
Can you work out what digit each symbol represents from these clues?
Are the following calculations right or wrong?
Share
Topics: Starter | Logic | Place Value | Problem Solving
• Mr Dave, BSK Kuwait
•
• This was a challenging starter. Many of my students found it too hard but two (To... | HuggingFaceTB/finemath | |
# 2010 - 2011 Geometry B - Standards.xls
Document Sample
``` Geometry B - Standards Attempt 1 Attempt 2 Midterm Dead Week Final Exam
1. Express square roots in equivalent radical form and their
decimal approximations when appropriate.
2. Use trigonometric rati... | HuggingFaceTB/finemath | |
# An Electron is Projected Horizontally with a Kinetic Energy of 10 Kev. a Magnetic Field of Strength 1.0 × 10−7 T Exists in the Vertically Upward Direction. (A) Will - Physics
An electron is projected horizontally with a kinetic energy of 10 keV. A magnetic field of strength 1.0 × 10−7 T exists in the vertically upwa... | HuggingFaceTB/finemath | |
# Eisenstein's criteria irreducible polynomial - issue in proof of Gareth Jones's book.
I was reading the topic and was stuck on the last lines, where the author states that : -- " $a_i = b_0c_i + b_1c_{i-1}+ ... +b_{i-1}c-1 = b_ic_0$, with p dividing both $a_i$ (since $i \le s = n - t \lt n)$ and ... ". The image is ... | HuggingFaceTB/finemath | |
Note:
• A quadratic equation is a polynomial equation of degree 2.
• The ''U'' shaped graph of a quadratic is called a parabola.
• A quadratic equation has two solutions. Either two distinct real solutions, one double real solution or two imaginary solutions.
• There are several methods you can use to solve a quadr... | HuggingFaceTB/finemath | |
# Propagation of uncertainty Is there any simple method in sage to do a calculation with uncertainties? Something like this: $(10\pm2) * (3\pm1) = (30\pm18)$. Or with a more "sophisticated" formula: $(30\pm11.67)$ because of $(10 \times 3 \times \sqrt{(2/10)^2 + (1/3)^2} = 11.67)$. Both ways are taken from here, but th... | HuggingFaceTB/finemath | |
# Is this the correct way to calculate the mean and variance of $(X-n)/(2n)$ where $X$ follows a Chi-squared distribution with $n$ degrees of freedom?
Let $X_n$ follow a Chi-squared distribution with $n$ degrees of freedom. I would like to study the variance and mean of $$\lim\limits_{n \rightarrow \infty} Y_n := \fra... | HuggingFaceTB/finemath | |
# How to Calculate Solar Panel Size
Solar panels come in different sizes to fit the energy requirements of your home. The size of the solar panel system depends on the amount of energy you want to produce. For instance, if there are two houses with the same square footage, they may still require different sized panels... | HuggingFaceTB/finemath | |
# Electromagnetic Theory Questions and Answers – Resistances and Capacitances
«
»
This set of Electromagnetic Theory Multiple Choice Questions & Answers (MCQs) focuses on “Resistance and Capacitance”.
1. Find the resistivity of a material having resistance 20kohm, area 2 units and length of 12m.
a) 6666.6
b) 3333.3
... | HuggingFaceTB/finemath | |
# Are polynomials of the form : $f_n= x^n+x^{n-1}+\cdots+x^{k+1}+ax^k+ax^{k-1}+\cdots+a$ irreducible over $\mathbb{Z}$?
Is it true that polynomials of the form :
$f_n= x^n+x^{n-1}+\cdots+x^{k+1}+ax^k+ax^{k-1}+\cdots+a$
where $\gcd(n+1,k+1)=1$ , $a\in \mathbb{Z^{+}}$ , $a$ is odd number , $a>1$, and $a_1\neq 1$
are ... | HuggingFaceTB/finemath | |
# How do you calculate IRR on TI 84 Plus?
Press APPS to return to the finance menu and scroll down until you see IRR() to activate the IRR function on the screen. How do you calculate IRR on a TI 83 Plus is similarly asked. To activate the IRR feature on the screen, select 2nd X-1 (or APPS > Finance on the TI-83 Plus)... | HuggingFaceTB/finemath | |
Uncategorized
1.1.6 Divisibility tests
If a number ends with any of the digits 0, 2, 4, 6, or 8, you immediately say the number is divisible by 2. Why? We write any such number a as a = 10k + r, where r is the remainder when divided by 10. Hence r is one of the numbers 0, 2, 4, 6, 8. We know see that 10 is divisible ... | HuggingFaceTB/finemath | |
Acceleration and Kinematic Equations
We are back at the Porsche Experience Center Atlanta track to learn all about acceleration. Kinematic equations are introduced as we solve for stopping time and displacement.
Unit 2 Segment C: Acceleration and Kinematic Equations We're back at the Porsche test track to learn all a... | HuggingFaceTB/finemath | |
Problems & Puzzles: Puzzles
Puzzle 749. Prime magic cubes Natalia Makarova proposes the following puzzleA "magic cube" is the 3-dimensional equivalent of a magic square, that is, a collection of distinct number of integers arranged in an n x n x n pattern such that the sum of the numbers on each row, each column, eac... | HuggingFaceTB/finemath | |
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# A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is $30cm$ long, $25cm$ wide and $25cm$ high.(i) What is the area of glass?(ii) How much of the tape is needed for all of the $12$e... | HuggingFaceTB/finemath | |
My Math Forum Find the basis of the intersection of two vector subspaces
Linear Algebra Linear Algebra Math Forum
January 18th, 2011, 01:55 PM #1 Newbie Joined: Jan 2011 Posts: 1 Thanks: 0 Find the basis of the intersection of two vector subspaces Hello, I find hard to understand the following problem in Linear A... | HuggingFaceTB/finemath | |
When learning how to solve applications of rational expressions, we generally encounter two scenarios. First we will look at motion word problems. These problems involve the use of the distance formula. Second, we will look at work rate problems. These problems involve measuring individual rates of work in order to det... | HuggingFaceTB/finemath | |
Homework Help: Bernoulli's principle
1. Oct 7, 2012
Avalanche
1. The problem statement, all variables and given/known data
http://s1292.photobucket.com/albums...ew¤t=Bernoullisequation_zps0d4485d7.jpg
2. Relevant equations
P1 + .5(rho)v12 + (rho)gy1 = P2 + .5(rho)v22 + (rho)gy2
3. The attempt at a solution... | HuggingFaceTB/finemath | |
# ZK proof that I possess a ZK proof for membership in $L$?
A zero-knowledge proof system for a language $L$ is an interactive proof system where a prover $P$ (a Turing machine) tries to convince a verifier $V$ (a polynomially bounded Turing machine) in a sequence of message exchanges that $x \in L$ so that $V$ learns... | open-web-math/open-web-math | |
# Group of order $p^k q$ where $p$ and $q$ are distinct primes - how to prove this property?
I'm trying to figure out this problem:
Problem: Let $G$ be a group of order $p^k q$ with $p$ and $q$ distinct primes and $k \in \mathbb{N} \setminus \left\{0\right\}$.
a) Prove: $G$ has a subgroup of order $p^k$, or $p$ divi... | HuggingFaceTB/finemath | |
Sunday, February 05, 2023 10:31
## Why do we use hexadecimal numbers?
In some cases, you will see programmers that represent decimal or binary values using hexadecimal values. Why is that?
Well, since we now know from previous lessons how to count in both binary and hexadecimal, let’s see how a few of these numbers ... | HuggingFaceTB/finemath | |
Future of libraries
You know that thanks to the Internet, electronic communications and developing online resources on the Internet annually declining number of traditional readership by 17%. These deal is irreversible evolutionary shift from old books from libraries to immediately available and cheaper information fr... | HuggingFaceTB/finemath | |
Theorem. Show that if $\beta$ and $\beta'$ are two elements of a set $I$ and to each $\alpha \in I$ we assign a set $A_{\alpha}$, then $$\{ x \in A_{\beta}: x \in A_{\alpha} \text{ for all } \alpha \in I \} = \{ x \in A_{\beta'}: x \in A_{\alpha} \text{ for all } \alpha \in I \}.$$
Proof.
Since $\beta, \beta' \in I$ ... | open-web-math/open-web-math | |
# How Do I Convert the Weight of Paint From Gallons to Pounds? If your teacher gives you a problem about a home-improvement project, you might need to calculate how much space you can paint based on the weight of paint. To convert between the weight and volume of paint, you will need to know its weight per volume, or *... | HuggingFaceTB/finemath | |
# Algebraic Graph Mappings
an exploration by Logan Thrasher Collins.
Algebraic manipulation of mathematical objects provides a rich array of tools for deriving insights about said objects. Graph theory concerns networks of vertices and edges and finds applications in diverse areas such as computer science, quantitati... | HuggingFaceTB/finemath | |
Enter the running time of the slowest goods train over the critical block section, the block operation time, and the efficiency factor into the calculator to determine the line capacity.
## Line Capacity Formula
The following formula is used to calculate the line capacity of a train section.
C = 1440 / (T+t) * E
• ... | HuggingFaceTB/finemath | |
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# Find out quartile deviation and coefficient of quartile deviation from the following data: Class Interval 0−10 10−20 20−30 30−40 40−50 50−60 Frequency 4 8 5 4 9 10
Open in App
Solution
## Class interval Frequency (f) Cumulative Frequency... | HuggingFaceTB/finemath | |
# Ok, a little shoe experiment!
Ok, a little experiment!
Ok, so I want to test the coefficient of static friction for two different kinds of shoes. I'll be using a runners and a formal dress shoe. Is this an ok procedure?
I'll using a wooden cherry board, and placing that against a wall. I'll slowly increase the ang... | HuggingFaceTB/finemath | |
# SOLUTION: 2x cubed - x squared - 18x+9 = 0
Algebra -> College -> SOLUTION: 2x cubed - x squared - 18x+9 = 0 Log On
Click here to see ALL problems on Linear Algebra Question 4954: 2x cubed - x squared - 18x+9 = 0Answer by Abbey(339) (Show Source): You can put this solution on YOUR website! Factor by groupin... | HuggingFaceTB/finemath | |
# Math solutions
This Math solutions helps to fast and easily solve any math problems. We can help me with math work.
## The Best Math solutions
One tool that can be used is Math solutions. Algebra can be a difficult subject for many students, but one way to make it easier is to solve by elimination. This method inv... | HuggingFaceTB/finemath | |
# If the coefficients of (2r + 4)th and (r−2)th terms in the expansion of
Question:
If the coefficients of $(2 r+4)$ th and $(r-2)$ th terms in the expansion of $(1+x)^{18}$ are equal, find $r$.
Solution:
Given:
$(1+x)^{18}$
We know that the coefficient of the $r$ th term in the expansion of $(1+x)^{n}$ is ${ }^{... | HuggingFaceTB/finemath | |
### MM_Ch05x
```Chapter 5
Inner Product Spaces
n
5.1 Length and Dot Product in R
5.2 Inner Product Spaces
5.3 Orthonormal Bases: Gram-Schmidt Process
5.4 Mathematical Models and Least Square Analysis
5.5 Applications of Inner Product Spaces
5.1
n
5.1 Length and Dot Product in R
Length (長度):
The length of a vector v ... | HuggingFaceTB/finemath | |
# Calculus
A piece of wire 7 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle.
A. How much wire should be used for the square in order to maximize the total area?
B. How much wire should be used for the square in order to minimize the total area?
1. 👍 ... | HuggingFaceTB/finemath | |
# Answers
Solutions by everydaycalculation.com
## Compare 9/56 and 35/6
1st number: 9/56, 2nd number: 5 5/6
9/56 is smaller than 35/6
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 56 and 6 is 168
Next, find the equivalent fraction of both fractiona... | HuggingFaceTB/finemath | |
# One of the roots of the equation x ^ 2 + tx + 27 = 0 is (-9). Find the second root and coefficient t.
Let us determine the coefficient t by substituting the well-known root x1 = – 9 into the equation:
(- 9) ^ 2 – 9t + 27 = 0,
81 – 9t +27 = 0,
9t = 108,
t = 12.
Substitute the obtained value of the coefficient t ... | HuggingFaceTB/finemath | |
Figure2shows an elliptical arc and the corresponding elliptical sector. |Contents| In geometry, an ellipse is a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane that does not interse... | HuggingFaceTB/finemath | |
ErikaaLynn Group Title HELP ME , Im Failing Math :/ 3. Which set of lengths could be the side lengths of a right triangle? (1 point) 20 cm, 22 cm, 29 cm 10 ft, 12 ft, 15 ft 7 km, 24 km, 28 km 13 in, 84 in, 85 in 4. A right triangle has a side length that measures 4 m and a hypotenuse that measures 8.5 m. What is the me... | HuggingFaceTB/finemath | |
There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Puzzles. In the right column below are links to related online activities, videos and teacher resources.
A lesson starter does not have to be on the same topic as the main part of the ... | HuggingFaceTB/finemath | |
Courses
# Important Formulae for First Law of Thermodynamic NEET Notes | EduRev
## NEET : Important Formulae for First Law of Thermodynamic NEET Notes | EduRev
``` Page 1
Important Formulae
1. Thermodynamics
(i) Molar heat capacity C = heat required to raise the temperature of 1 mole of any substance by
1 °C or 1 ... | HuggingFaceTB/finemath | |
## How many perfect squares are less than the integer $$d$$?
##### This topic has expert replies
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### How many perfect squares are less than the integer $$d$$?
by BTGmoderatorLU » Wed May 08, 2019 1:34 pm
00:00
A
B
C
D
E
## Global Stats
Source: P... | HuggingFaceTB/finemath | |
## Thursday, November 29, 2007
### Mariya's 2nd Growing Post
^^ this is a picture of our test. ( Betty's Snack Mix)
1. what strategies were needed?
- ratio table
- money method
- clock method
2. How did you use these strategies?
- i didn't really use any of these strategies. what i used was that i muliplied 2 and 5... | HuggingFaceTB/finemath | |
# What Is the Logarithmic Norm?
The logarithmic norm of a matrix $A\in\mathbb{C}^{n\times n}$ (also called the logarithmic derivative) is defined by
$\notag \mu(A) = \displaystyle\lim_{\epsilon \to 0+} \frac{ \|I + \epsilon A\| - 1}{\epsilon},$
where the norm is assumed to satisfy $\|I\| = 1$.
Note that the limit i... | open-web-math/open-web-math | |
# Projectile Motion in Archery Essay
925 Words 4 Pages
Archery, a sport that dates back to centuries before today, has been modernized to become more efficient and high tech. The Egyptian made the first complex bow in 2800 BC. The bow was made from sheep intestines and the arrow was light and efficient enough to be sh... | HuggingFaceTB/finemath | |
## Posts
Showing posts with the label Logical Thinking Puzzles
### Logical Thinking Puzzles
Blue Fishes There are 200 fishes in a pond. 99% fishes are blue. How many blue fishes should be removed to make the percentage of blue fishes in to 98%? Hint: 2 is not the answer. Answer First, why '2' is not the right answer... | HuggingFaceTB/finemath | |
# Angle
Draw angle |∠ ABC| = 130° and built its axis. What angle is between axis angle and arm of angle?
Correct result:
x = 65 °
#### Solution:
$x=130\mathrm{/}2=6{5}^{\circ }$ We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you! Tips to r... | HuggingFaceTB/finemath | |
# Multi-Pile NIM where you can only take up to N objects strategy?
What is a strategy for a multi-pile nim game, with each pile having a different number of objects. Further, on any turn you can only take up to N objects. Most posts about nim involve a multi-pile game where you can take any number of objects.
• If yo... | HuggingFaceTB/finemath | |
# How to get the condition of OLS mathematically?
From this discussion, I asked @tdm about the condition of OLS but I still cannot get it, and it is not easy to answer the mathematic equation in comment part so I want to ask here.
One way to see this is to notice that OLS minimizes
$$\frac{1}{n} \sum_i (y_i - \alpha... | HuggingFaceTB/finemath | |
## Calculus with Applications (10th Edition)
$$\frac{{dy}}{{dx}} = - \tan x$$
\eqalign{ & y = \ln \left| {\cos x} \right| \cr & {\text{differentiate with respect to }}x \cr & \frac{{dy}}{{dx}} = {D_x}\left( {\ln \left| {\cos x} \right|} \right) \cr & {\text{use the chain rule }}{D_x}\left( {\ln u} \right) = \frac{1}{u... | HuggingFaceTB/finemath | |
# Question Video: Converting and Comparing between Days and Hours Mathematics • 5th Grade
Fill in the missing symbol using <, >, or = : 5 days ＿ 46 hours.
02:06
### Video Transcript
Fill in the missing symbol using less than, greater than, or equal to. We need to compare five days to 46 hours.
Days and hours are d... | HuggingFaceTB/finemath | |
# Yo-Yo on a table contradiction
• Order
In summary, the conversation discusses the problem of finding the maximum value of force for which a yo-yo can roll without slipping on a table. Equations for Newton's second law and torque are given and used to determine the relation between the pulling force and the force of ... | HuggingFaceTB/finemath | |
+0
0
206
2
+76
Find the number that we can place in the box, so that the resulting quadratic is the square of a binomial.
$$x^2 + \dfrac{4}{5}x + \boxed{\phantom{000}}$$
:D
Apr 14, 2020
#1
+1
I learned this! (x + 4/5)^2 = x^2 + 4/5*x + 16/25, so 16/25 goes in the box.
Apr 14, 2020
#2
+112881
+1
Sorry guest but... | HuggingFaceTB/finemath | |
# 5. Find the mean and variance for each of the data. $\small x_i$ 92 93 97 98 102 104 109 $\small f_i$ 3 2 3 2 6 3 3
$x_i$ $f_i$ $f_ix_i$ $(x_i - \overline{x})$ $(x_i - \overline{x})^2$ $f_i(x_i - \overline{x})^2$ 92 3 276 -8 64 192 93 2 186 -7 49 98 97 3 291 -3 9 27 98 2 196 -2 4 8 102 6 612 2 4 24 104 3 312 4 16 4... | open-web-math/open-web-math | |
Question
# The sum of two numbers is 1000 and the difference between their square is 256000. Find the numbers.
A
628, 372
B
562, 438
C
125, 875
D
None of these
Solution
## The correct option is A 628, 372Let the two numbers be x and y ⇒x+y=1000 ....(1) x2−y2=256000 Using identity x2−y2=(x+y)(x−y) ⇒(x+y)(x−y)=2560... | HuggingFaceTB/finemath | |
# 3 Ways of Looking at “Profit” Questions on the GMAT As someone who is about to shell out hundreds of dollars in MBA application fees, you know that money makes the GMAT-world go round. Profit is an essential concept for any aspiring MBA admissions applicant. The GMAT tests this concept in both Problem Solving and Dat... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Working systematically similar to Family Tree:
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Stage:
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### There are 339 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
### Family Tree
##### Stage: 2 Challenge Level:
Use the cl... | HuggingFaceTB/finemath | |
# Algorithm for dividing a number into largest “power of two” buckets?
For example, these are expected outputs:
3: 2, 1
4: 4
5: 4, 1
6: 4, 2
7: 4, 2, 1
8: 8
9: 8, 1
...
20: 16, 4
...
25: 16, 8, 1
...
36: 32, 4
...
50: 32, 16, 2
Up to the max of 32 being the largest subunit. So then we get larger:
100: 32, 32, 32, ... | HuggingFaceTB/finemath | |
# DSE 2016 doubt
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## DSE 2016 doubt
Any idea anyone?
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## Re: DSE 2016 doubt
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## Re: DSE 2016 doubt
**Chec... | HuggingFaceTB/finemath | |
## 40700
40,700 (forty thousand seven hundred) is an even five-digits composite number following 40699 and preceding 40701. In scientific notation, it is written as 4.07 × 104. The sum of its digits is 11. It has a total of 6 prime factors and 36 positive divisors. There are 14,400 positive integers (up to 40700) that... | HuggingFaceTB/finemath | |
Epistemic status: Mostly the result of a late night procrastination session. Proceed with caution. Might be too verbose or not verbose enough.
I have been thinking about linear algebra quite a lot lately. There is a common proof strategy, which usually goes something like:
1. You have a subspace of a vector space
2. ... | open-web-math/open-web-math | |
# 13 Times Table Multiplication Chart | How to Read and Write Multiplication Table of 13?
Students do you want to know that the number 13 is a prime number or not? Also, learn more about the 13 Times Table Multiplication Chart from this article. Here, you will find various options to understand, learn and remember the... | HuggingFaceTB/finemath | |
What does a voltage or current source actually output?
Current is the rate at which electrons flow through a circuit, and voltage is the potential "drop" between two points in a circuit.
Do voltage sources output an unknown current, and vice versa? Why aren't they the same, if V=IR when there is no resistance? This q... | HuggingFaceTB/finemath | |
#### Question: How To Determin The Loft On A Golf Iron?
The loft, is the angle between the face plane and the vertical plane the shaft is in, when the club is in the normal address position and the grooves are horizontal. Once you set up the club as described, use a protractor to measure the angle between the face pla... | HuggingFaceTB/finemath | |
### Threesomes
Imagine an infinitely large sheet of square dotty paper on which you can draw triangles of any size you wish (providing each vertex is on a dot). What areas is it/is it not possible to draw?
### Pick's Theorem
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i)... | HuggingFaceTB/finemath | |
## DESCRIPTION ## Linear Algebra ## ENDDESCRIPTION ## KEYWORDS ('linear algebra','matrix','skew-symmetric') ## Tagged by cmd6a 5/3/06 ## DBsubject('Linear Algebra') ## DBchapter('Matrices') ## DBsection('Diagonalization') ## Date('') ## Author('') ## Institution('Rochester') ## TitleText1('') ## EditionText1('') ## Aut... | HuggingFaceTB/finemath | |
Print this chapter
# [N] Number and Quantity
Students’ prior knowledge includes:
• Students know that there are numbers that are not rational, and approximate them by rational numbers (grade 8)
• Students apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide r... | HuggingFaceTB/finemath | |
# Math Help - proof about gcd
I have to prove that if $a,b,c\in\mathbb{Z}$ Show that $gcd(a,b)=1 and gcd(a,c)=1$ iff $gcd(a,lcm[b,c])=1$ I've tried proving the forward direction and im stuck. Here is what I have so far.
proof: $\rightarrow$: Assume $gcd(a,b)=1 and gcd(a,c)=1$. Assume further that $gcd(a,[b,c])\neq 1$... | open-web-math/open-web-math | |
# Solving the Unknown Probe reference system
## The math explained
August 21st 2016
### Foreword
When I published the trilateration results there were several people showing interest in how I came up with the results on both the Frontier forums and later Reddit. I posted the full math behind the trilateration but t... | HuggingFaceTB/finemath | |
Courses
Velocity And Acceleration Analysis - 2
10 Questions MCQ Test Topicwise Question Bank for GATE Mechanical Engineering | Velocity And Acceleration Analysis - 2
Description
This mock test of Velocity And Acceleration Analysis - 2 for Mechanical Engineering helps you for every Mechanical Engineering entrance exa... | HuggingFaceTB/finemath | |
# What do prime ideals in $k$ look like?
Suppose that $k$ is an algebraically closed field. Then what do the prime ideals in the polynomial ring $k[x,y]$ look like?
As far as I know, the maximal ideals of $k[x,y]$ are of the form $(x-a,y-b)$ where $a,b\in k$. What can we say about the prime ideals? Are there similar ... | HuggingFaceTB/finemath | |
Or
## Counting to 10
• Counting to 10
• Course: Mathematics
• Section: Counting, Numbers and Place Value
• Outcome: Connecting Number Names to Ten
• Activity Type: Printable
• Activity ID: 3185
## Testimonials
“What a brilliant site you have!!! I love it, especially as it saves me hours and hours of hard work. Othe... | HuggingFaceTB/finemath | |
# Statistics - Bayes’ Theorem (Probability)
Bayesian probability is one of the different interpretations of the concept of probability and belongs to the category of evidential probabilities.
In the Bayesian view, a probability is assigned to a hypothesis, whereas under the frequentist view, a hypothesis is typically... | HuggingFaceTB/finemath | |
# Theta 函數
Theta 函數最常見於橢圓函數理論。於「z」 變量，theta 函數有種「擬周期」性[6] 。喺一般下降理論[7]中，數學中， Theta 函數多複變特殊函數一種。 其用兼阿貝爾簇[8]模空間二次形式[9]孤立子[10]理論；其格拉斯曼代數[11]推廣 亦見於 量子場論，尤其於 超弦D-膜[12]理論。
Theta 函數最常見於橢圓函數理論。於其「z」 變量，theta 函數有「擬周期」性[13] 。喺一般下降理論[14]中，此來自線叢條件。
## 雅可比 theta 函數
${\displaystyle \vartheta (z;\tau )=\sum _{n=-\infty }^{\infty }... | HuggingFaceTB/finemath | |
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# How to Find Irr in Excel?
Finding the internal rate of return (IRR) in Excel can seem like a daunting task, but with the right tools, you can easily and quickly calculate this important financial metric. In this article, we’ll discuss the steps you need to take to find IRR in Excel, the importance of IRR, and ... | HuggingFaceTB/finemath | |
#### You may also like ### Chocolate
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time? ### Four Triangles Puzzle
Cut four triangles from a square as shown in the picture. How many different shapes can you ... | HuggingFaceTB/finemath | |
PercentageCalculator .pro Discount Percentage Fraction to % Decimal to %
# 10.00 percent of 75?
## Percentage Calculator
What is % of
### 'P' out of 'W' as a percentage
What is out of as a percentage?
is % of what?
### Solution for 'What is 10.00% of 75?'
In the following example consider that:
• The percenta... | HuggingFaceTB/finemath | |
The Elements of Euclid; viz. the first six books, together with the eleventh and twelfth. Also the book of Euclid's Data. By R. Simson. To which is added, A treatise on the construction of the trigonometrical canon [by J. Christison] and A concise account of logarithms [by A. Robertson].
What people are saying -Write ... | HuggingFaceTB/finemath | |
##### Linear system of equations #10
Mathematics Tutor: None Selected Time limit: 1 Day
6x - 7y = 20
3x + 5y = -7
Oct 19th, 2015
Define the following as Eq 1 and Eq 2:
Equation 1: 6x - 7y = 20
Equation 2: 3x + 5y = -7
Using the substitution method, solve for x in Eq 1:
x = (20 - 7y) / 6
Substitute x value in... | HuggingFaceTB/finemath | |
# What is 350 Stones in Metric Tons?
## Convert 350 Stones to Metric Tons
To calculate 350 Stones to the corresponding value in Metric Tons, multiply the quantity in Stones by 0.00635029318 (conversion factor). In this case we should multiply 350 Stones by 0.00635029318 to get the equivalent result in Metric Tons:
3... | HuggingFaceTB/finemath | |
# Algebra
If y varies directly with x, and y = 110 when x = 100, find the constant of variation k.
If y = kx, then 110 = k*100. Solve for k. Check my thinking.
Wouldn't I divide 110 by 100=1.1?
yes
1. 👍 0
2. 👎 0
3. 👁 121
## Similar Questions
If y varies directly as X and X=88 when Y= 110, find X whaen Y=70 Se... | HuggingFaceTB/finemath | |
Prealgebra
# 4.3Multiply and Divide Mixed Numbers and Complex Fractions
Prealgebra4.3 Multiply and Divide Mixed Numbers and Complex Fractions
### Learning Objectives
By the end of this section, you will be able to:
• Multiply and divide mixed numbers
• Translate phrases to expressions with fractions
• Simplify comp... | HuggingFaceTB/finemath | |
# use the most accurate equation to predict the dependent variable for the years 1980 and 1995.
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Here, the linear regression of dependent variable (population, Y) versus independent variable (number of years elap... | HuggingFaceTB/finemath | |
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# Ch. 2 Math Test Review Part 1
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# Exam-Style Question on Sets
## A mathematics exam-style question with a worked solution that can be revealed gradually
##### List Of QuestionsExam-Style QuestionMore Sets QuestionsMore on this Topic
Question id: 17. This question is similar to one that appeared on an IB Studies paper in 2012. The use of a calculat... | HuggingFaceTB/finemath | |
# Tag Info
14
I've explained it once on StackOverflow. Your signal can be represented as a vector, and convolution is multiplication with an N-diagonal matrix (where N is the length of the filter). I am assuming for the sake of the answer that the filter is much smaller than the signal For example: Your vector/signal... | HuggingFaceTB/finemath | |
## 20491
20,491 (twenty thousand four hundred ninety-one) is an odd five-digits composite number following 20490 and preceding 20492. In scientific notation, it is written as 2.0491 × 104. The sum of its digits is 16. It has a total of 2 prime factors and 4 positive divisors. There are 19,800 positive integers (up to ... | HuggingFaceTB/finemath | |
### Home > PC > Chapter 6 > Lesson 6.3.2 > Problem6-131
6-131.
Eeeeew! Hannah left an egg salad sandwich sitting in her locker over the weekend and when she got back on Monday it had started to get moldy. “Perfect!” said Hannah. “I can use this for my biology project. I'll study how quickly mold grows. My hypothesis ... | HuggingFaceTB/finemath | |
### Atonement Algebra
August 14, 2009 By: Matt W. @ 8:22 am Category: Atonement & Soteriology
Some people say the most universal language is math. With that in mind, I was goofing around this morning, trying to explain the atonement with math. Here’s my first attempt:
M = Me
J = Jesus
S = Achieving my exaltat... | HuggingFaceTB/finemath | |
## A
orbits are ellipses, not circles. An ellipse can be thought of simply as a squashed circle, resembling an oval. The proper definition of an ellipse is the set of all points that have the same sum of distances to two given fixed points, called foci. To demonstrate this definition, take two pins, push them into a p... | HuggingFaceTB/finemath | |
# If the number of boys in a class is 8 times the number of girls, which value can never be the total number of students?
## Question
### `If the number of boys in a class is 8 times the number of girls, which value can never be the total number of students?`
`A. 27`
`B. 42`
`C. 45`
`D. 81`
#### Answer: B. 42
Solu... | HuggingFaceTB/finemath | |
# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effe... | HuggingFaceTB/finemath | |
# How to put arrows pointing to equalities to explain each step
What´s the best way to explain every equality? With arrows like in
Anything similar to this
-
– Jubobs Jun 3 '13 at 10:15
+1 for adding information about the question using the SO page of the question itself! – Bakuriu Jun 3 '13 at 16:25
I can suggest ... | HuggingFaceTB/finemath | |
國立交通大學開放式課程(OpenCourseWare, OCW)
微積分(一) Calculus I - 103學年度 - 4.4 Indeterminate Forms and L’Hospital’s Rule
週次 章節 影音格式 莊重老師真心告白 課程介紹 第一章 Functions and Models 1.5 Exponential Functions 1.6 Inverse Functions and Logarithms 第二章 Limits and derivatives 2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit... | HuggingFaceTB/finemath | |
# Basic Direct Current Circuit – Simple Examples
Basic direct current circuit is a circuit which has one direction of voltage and current. To be more specific, this circuit only has one direction or unidirectional flow of electrical charge. One of the simplest examples for DC voltage is a battery.
If DC is the abbrev... | HuggingFaceTB/finemath |
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