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# Using the unit circle to find cosine and sine of 30 degrees and 60 degrees
Since we are using the unit circle, we need to put the 30-60-90 triangle inside the unit circle.
The radius of the circle is also the hypotenuse of the right triangle and it is equal to 1.
We have already seen in the previous lesson that th... | HuggingFaceTB/finemath | |
English | Español
# Try our Free Online Math Solver!
Online Math Solver
Depdendent Variable
Number of equations to solve: 23456789
Equ. #1:
Equ. #2:
Equ. #3:
Equ. #4:
Equ. #5:
Equ. #6:
Equ. #7:
Equ. #8:
Equ. #9:
Solve for:
Dependent Variable
Number of inequalities to solve: 23456789
Ineq. #... | HuggingFaceTB/finemath | |
# Elementary Analysis, Triangle Inequality Help
## Homework Statement
Prove that ||a|-|b||$$\leq$$ |a-b| for all a,b in the reals
## Homework Equations
I know we have to use the triangle inequality, which states:
|a+b|$$\leq$$ |a|+|b|.
Also, we proved in another problem that |b|$$\leq$$ a iff -a$$\leq$$b$$\leq$$a
... | HuggingFaceTB/finemath | |
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# Lecture
on
Linear Programming
## Difficulties in Simplex Procedure
1. Tie in selecting key column/key row.
2. Inequality of greater than or equal to kind.
3. Equality constraints.
4. Negative RHS.
5. Unrestricted variables.
6. Restricted variables.
## (1) Tie in selecting key column/Key... | HuggingFaceTB/finemath | |
# Bolzano-Weierstrass Theorem Implies Bounded Increasing Sequence Converges
Statement: Prove using the Bolzano-Weierstrass Theorem that any bounded increasing sequence in $\mathbb{R}$ converges.
Attempt: Let $\{a_n \}$ be a bounded increasing sequence. From the Bolzano-Weierstrass Theorem, there exists a subsequence ... | HuggingFaceTB/finemath | |
# Proportions solver
This Proportions solver supplies step-by-step instructions for solving all math troubles. Our website can solving math problem.
## The Best Proportions solver In this blog post, we discuss how Proportions solver can help students learn Algebra. Trigonometry is the branch of mathematics that deals... | HuggingFaceTB/finemath | |
## Elementary Algebra
$x=(14y-17)$
In order to solve for x, we first subtract by 14y on both sides of the equation to help get closer to getting x alone on one side of the equation. We then isolate x completely by dividing both sides by -1, obtaining that: $x=(14y-17)$ | HuggingFaceTB/finemath | |
# Thread: Help forming polynomial of least degree
1. ## Help forming polynomial of least degree
5. b) Find a real polynomial of least degree having 1+i, 2, -i as roots.
My work:
1.
x=1+i
x=2
x= -i
2.
[(x-1)-i]
[(x-2)]
[(x)+i]
3.
Secondly I tried putting them together and got:
(x-1)(x) + (x-1)i - (x)i - i^2
(x-1... | HuggingFaceTB/finemath | |
# If $n$ balls are distributed randomly into $k$ buckets, what is the probability that the first bucket contains $j$ balls? [duplicate]
I know that the solution I have is wrong but I'd like to give you my thought process in the hopes that someone can point out the flaw in my thinking:
Since there has to be $$j$$ ball... | HuggingFaceTB/finemath | |
# Finding error on gravitational acceleration
1. Oct 6, 2012
### peripatein
How may the error on gravitational acceleration (g) be determined, given a set of measurements of time (t) and distance (d)? It is stated that the distances are measured precisely and time with an accuracy of 0.01 sec.
I have applied Least S... | open-web-math/open-web-math | |
Ask Dr. Math High School Archive
Dr. Math Home || Elementary || Middle School || High School || College || Dr. Math FAQ
TOPICS This page: number theory Search Dr. Math See also the Dr. Math FAQ: 0.9999 = 1 0 to 0 power n to 0 power 0! = 1 dividing by 0 number bases Internet Library: number theor... | HuggingFaceTB/finemath | |
# Word problem.
kee23
## Homework Statement
Given that y is directly proportional to the cube of x and inversly proportional to the square of z, if x decreases by 23.3% and z increases by 45.3%, by what factor does y change?
## Homework Equations
Couldn't make a equation but I tried like this:
y=K/x^3+1/z^2
## Th... | HuggingFaceTB/finemath | |
Let there be $23$ or more people in a room.
The probability that at least $2$ of them have the same birthday is greater than $50 \%$.
## Proof
Let there be $n$ people in the room.
Let $\map p n$ be the probability that no two people in the room have the same birthday.
For simplicity, let us ignore leap years and a... | HuggingFaceTB/finemath | |
# Reasoning Quiz-01″ 7min ” (IBPS PO, RRB PO, RRB CLERK)
### Cutoff- 7
Directions (1 to 5): Study the following information carefully and answer the questions given below.
Seven members of the family namely L, M, N, O, P, Q and R live in eight different floors of building. One of the floors in the building is vacant... | HuggingFaceTB/finemath | |
Home / Resistors & Resistance – 1 – 1
# Resistors & Resistance – 1 – 1
1. The equivalent resistance of series combination is :
(a) smaller than the largest resistance
(b) larger than the largest resistance
(c) smaller than the smallest resistance
(d) larger than the smallest resistance
Explanation
No answer descrip... | HuggingFaceTB/finemath | |
# The Sum Of 3 Consecutive Odd Numbers Is -27. What Are The 3 Numbers?
Let the three consecutive odd numbers are x, x + 2 and x + 4. The sum of three consecutive odd numbers is -27.
Sum of consecutive odd numbers = -27
x + (x + 2) + (x + 4 ) = -27
x + x + 2 + x + 4 = -27
3x + 6 = -27
subtracting 6 on both sides
... | HuggingFaceTB/finemath | |
You are here: Home > Practicals > Double Ball Bounce
Practicals
Categories
Physics
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Options
# Double Ball Bounce AKA: Conservation of Momentum
## Summary
Two balls are dropped, one on top of the other. As they hit the floor, the ball on top bounces much higher than it will on its own.
## Operation
This i... | HuggingFaceTB/finemath | |
# At a Glance - Temperatures
Let F be degrees Fahrenheit, a unit commonly used in the United States, and let C be degrees Celsius, used almost everywhere else. Oh, but ours is the right one. Sure...
We can convert from one temperature system to the other using the following formulas:
### Sample Problem
If the tempe... | HuggingFaceTB/finemath | |
# Subtraction Input/Output Tables - within 20
Rate 0 stars Common Core
Quiz size:
Message preview:
Someone you know has shared Subtraction Input/Output Tables - within 20 quiz with you:
To play this quiz, click on the link below:
https://www.turtlediary.com/quiz/subtraction-input-output-tables-within-20.html
Hope y... | HuggingFaceTB/finemath | |
# Thread: does there exist a non-abelian group such that all its subgroups are normal?
1. ## does there exist a non-abelian group such that all its subgroups are normal?
(1 0) (i 0) (0 1) (0 i) (-1 0 ) (-i 0) (0 -1) (0 -i)
(0 1) , (0 -i), (-1 0) , (i 0), (0 -1), (0 i), (1 0), (-i 0)
(*they all suppose to be 2x2 matr... | HuggingFaceTB/finemath | |
+ Text Only Site
+ Non-Flash Version
+ Contact Glenn
## How Does Altitude Relate to Density? Activity
If so instructed by your teacher, print out a worksheet page for these problems
This activity is designed to show the relationships among altitude or height above sea level, the density of the air, the temperature o... | HuggingFaceTB/finemath | |
# Calculus without Calculus
NOTE: Full credit goes to N. J. Wildberger for exposing this idea in his DiffGeom playlist, though as pointed out this is in fact a result of Lagrange and (possibly) Euler.
Consider, for example, the polynomial $1 - 3x + x^3$ over the rational number field and the evaluation map $p$ from t... | HuggingFaceTB/finemath | |
# How to make "Fraction Simplification" ?
Attention Topic was automatically imported from the old Question2Answer platform.
How to make “Fraction Simplification” ? Like
9/18 return 1/2
14/21 return 2/3
I did not find such a function in the documentation
We don’t know what you want. Do you want fractions to reduce ... | HuggingFaceTB/finemath | |
# Lesson Planning of Ordinal Numbers
Lesson Planning of Ordinal Numbers
Subject English
Students` Learning Outcomes
• Write ordinal numbers.
Information for Teachers
• When objects are placed in order, we use ordinal numbers to tell their position, i.e. first (1st) second, (2nd). This concept is helpful in descri... | HuggingFaceTB/finemath | |
## Precalculus (10th Edition)
$x=6.$
The base is same on the 2 sides on the equation (and it is not $1$), hence they will be equal if the exponents are equal. Hence $\log_4{(x+2)}=\log_4{8}$ if and only if $8=x+2$, hence after subtracting 2 from both sides: $x+2-2=8-2\\x=6.$ | HuggingFaceTB/finemath | |
# uniform continuity of x^2
• Apr 10th 2011, 06:18 AM
alice8675309
uniform continuity of x^2
I know that $x^2$is NOT uniformly continuous, but isn't it u.c. on [0,1]. How would I prove this directly using the definiton? Unless its not uniformly continuous on [0,1] then how would I prove that using the sequential crite... | HuggingFaceTB/finemath | |
## Reasoning Ability Quiz 11 for IBPS PO
Directions (Q. 1-3): Study the following information to answer the given questions -An apartment has seven floors numbered one to seven, in such a way that the ground floor is number done, the floor above it, number two and so on and the topmost floor is numbered seven. One out... | HuggingFaceTB/finemath | |
The calculator performs straightforward and progressed operations v fractions, expressions v fractions an unified with integers, decimals, and also mixed numbers. It also shows comprehensive step-by-step information around the portion calculation procedure. Solve difficulties with two, three, or an ext fractions and al... | HuggingFaceTB/finemath | |
Symplectic Matrix
Get Symplectic Matrix essential facts below. View Videos or join the Symplectic Matrix discussion. Add Symplectic Matrix to your PopFlock.com topic list for future reference or share this resource on social media.
Symplectic Matrix
In mathematics, a symplectic matrix is a $2n\times 2n$ matrix $M$ wi... | HuggingFaceTB/finemath | |
PDA
View Full Version : Some problems found in the Powerprep test
bugigio
08-30-2004, 05:59 PM
Hi all,
1) The reflection of a positive integer is obtained by reversing its digits. For ex. 321 is the reflection of 123. The difference between a five-digit integer and its reflection must be divisible by...... 2,4,5,6,9... | HuggingFaceTB/finemath | |
# Depth-first search and topological sequencing of graphs
Source: Internet
Author: User
This article will introduce depth-first search for graphs and implement topological ordering based on depth-first search (topological sorting is applied to a direction-free graph, described in detail below).
1. Depth-first traver... | HuggingFaceTB/finemath | |
# Difference between revisions of "Ruled surface"
This article defines a property that makes sense for a surface embedded in $\R^3$, viz three-dimensional Euclidean space. The property is invariant under orthogonal transformations and scaling, i.e., under all similarity transformations.
View other such properties
## ... | HuggingFaceTB/finemath | |
# the equivalency of two definitions of locally closed sets
here there are 2 definitions of locally closed sets:
$A$ is locally closed subset of $X$ if:
a) every element in $A$ has a neighborhood $V$ in $X$ such that $A\cap V$ is closed in $V$.
b) $A$ is open in its closure (in $X$)
why a) and b) are equivalent?
... | HuggingFaceTB/finemath | |
Select Page
Four Digit Dividends – 5th Grade
How to play:
Here are objects that are found inside the space pod video. Be safe as you move around inside the 360 VR math video. Go below to start the escape room.
A
If the answer is “A find the number on or around this object.
B
If the answer is “B find the numb... | HuggingFaceTB/finemath | |
Some expressions that allow us to calculate the Hermite polynomials are: $$\label{ec-34} H_v(\xi)=(2\xi)^vv(v-1)(2\xi)^{v- 2}+\frac{v(v-1)(v-2)(v-3)}{2}(2\xi)^{v-4}+......$$ The Equation (\ref{ec-34}) can be written more compactly as: $$\label{ec-35} H_v(\xi)=\sum_{k=0}^{v}(- 1)^k\frac{v!}{k!(v-2k)!}(2\xi)^{v-2k}$$
No... | HuggingFaceTB/finemath | |
# Pyramid + surface area - math problems
#### Number of problems found: 70
• School model The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is... | HuggingFaceTB/finemath | |
Chi Square Tests
## 12 Chi Square Tests
The chi-squared distribution allows for statistical tests of categorical data. Among these tests are those for goodness of fit and independence.
### 12.1 The chi-squared distribution
The c2-distribution (chi-squared) is the distribution of the sum of squared normal random v... | HuggingFaceTB/finemath | |
# 210192 (number)
210,192 (two hundred ten thousand one hundred ninety-two) is an even six-digits composite number following 210191 and preceding 210193. In scientific notation, it is written as 2.10192 × 105. The sum of its digits is 15. It has a total of 7 prime factors and 40 positive divisors. There are 67,200 pos... | HuggingFaceTB/finemath | |
# 180 Days of Math for First Grade Day 119 Answers Key
By accessing our 180 Days of Math for First Grade Answers Key Day 119 regularly, students can get better problem-solving skills.
## 180 Days of Math for First Grade Answers Key Day 119
Directions: Solve each problem.
Question 1.
Draw 4 triangles. Circle the las... | HuggingFaceTB/finemath | |
## Question 502:
1
The sample taken of 36 administrative staff is reasonably large and above 30 which suggests we can use the standard normal deviate (z-score) to construct the confidence interval, this however would be less conservative. The high precision of the interval (99%) suggests we should take a more conserv... | HuggingFaceTB/finemath | |
# Why you can’t accept the null hypothesis
In this post I’d like to describe an issue that is almost never addressed in statistics courses, but should be, because it causes a lot of mistaken inferences. It is an issue so pervasive that I routinely see papers published in refereed journals that make this mistake. So if... | HuggingFaceTB/finemath | |
Instructions
Study the following information carefully and answer the questions given below:
When a word and number arrangement machine is given an input line of words and numbers, it arranges them following a particular rule. The following is an illustration of input and rearrangement :
(All the numbers are two digi... | HuggingFaceTB/finemath | |
## What is the best measure of central tendency for quantitative data?
Mean
Mean is the most frequently used measure of central tendency and generally considered the best measure of it. However, there are some situations where either median or mode are preferred. Median is the preferred measure of central tendency whe... | HuggingFaceTB/finemath | |
# NLP-Lecture
```Statistical NLP: Lecture 4
Mathematical Foundations I:
Probability Theory
1
Notions of Probability Theory
Probability theory deals with predicting how likely
it is that something will happen.
The process by which an observation is made is
called an experiment or a trial.
The collection of basic ... | HuggingFaceTB/finemath | |
# An essay on mechanical geometry, explanatory of a set of models
1796
0 Reviews
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### What people are saying -Write a review
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### Popular passages
Page 6 - The circumference ... | HuggingFaceTB/finemath | |
# Thread: characheristic equation
1. ## characheristic equation
Please help me if you can.....big donation if it gets done
1)find the eigenvalues for the matrix
A = 1 2 1
0 3 1
0 5 -1
B) for each eigenvalue found above find a basis for the eigenspace
C)join all basis vectors from B) into a single set. does this set ... | HuggingFaceTB/finemath | |
Biology Reference
In-Depth Information
In the following, we provide detailed computational algorithms for
estimation of the mean form matrix and variance-covariance matrix.
In order to program these algorithms, the reader will need to under-
stand the following concepts and related computation procedures:
Form matrix, ... | HuggingFaceTB/finemath | |
## Precalculus (6th Edition) Blitzer
Published by Pearson
# Chapter 9 - Mid-Chapter Check Point - Page 1000: 8
#### Answer
See graph and explanations. #### Work Step by Step
Step 1. Graph the equation as shown in the figure. Step 2. Rewrite the equation as $\frac{y^2}{16}-\frac{x^2}{4}=1$; we have $a=4, b=2$ and t... | HuggingFaceTB/finemath | |
Cody
# Problem 1164. Sum the Digits of a Number
Solution 2590828
Submitted on 21 Jun 2020 by Ramesh Kumar V
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
assessFunctionAbsence('regexp','FileName'... | HuggingFaceTB/finemath | |
Corrigenda
2018 - 2019 Editions
There were no errors found.
SET 40, Q1. Correct Answer: E
Reasoning
We need to calculate the total amount of fat consumed and then calculate the daily consumption.
Calculation
We need to work out the total amount of fat consumed, which is the amount per person (both saturated and ... | HuggingFaceTB/finemath | |
Resource Lesson Parallel Plate Capacitors
When two parallel plates are connected across a battery, the plates will become charged and an electric field will be established between them.
Remember that the direction of an electric field is defined as the direction that a positive test charge would move. So in this case,... | HuggingFaceTB/finemath | |
Technology
## Calculate Maximum Power
Matt Deady, Professor of Physics, Director of the Physics Program, Bard College
How much hydropower can a stream produce? There are many limiting factors – including restrictions on water usage, seasonal variations, and efficiency of turbines – but let’s ignore all of those for ... | HuggingFaceTB/finemath | |
Monday
February 8, 2016
# Homework Help: Math Help
Posted by Margie on Tuesday, June 5, 2007 at 7:19pm.
Directions:Solve and graph equation using words.Then include wether it is solid line or dotted,hoe to graph it,and which side shading is on.
Problem:5x+3y>-6 and 27+x<6
Problem is supposed to be: 5x+3y>-6 and 2y+... | HuggingFaceTB/finemath | |
This guide will help you get started with the basics on using a Quarter Year, Daily Standard Behavior Graph (shown on the home page). A broader and more in-depth description of the SBG's capabilties can be found in The Standard Behavior Graph: Standardized Graphing Made Easy (available for free download through the "... | HuggingFaceTB/finemath | |
# What is the amount of heat liberated (in kJ) from 327 g of mercury when it cools from 77.8°C to 12.0°C?
Jul 2, 2016
$- 2.99 k J$ of heat has been liberated.
#### Explanation:
For this problem we have to use the specific heat capacity equation: Based on what you've given me, we have the mass of the sample (m), the... | HuggingFaceTB/finemath | |
# Algebraically closed field
related topics {math, number, function}
In mathematics, a field F is said to be algebraically closed if every polynomial with one variable of degree at least 1, with coefficients in F, has a root in F.
## Contents
### Examples
As an example, the field of real numbers is not algebraica... | HuggingFaceTB/finemath | |
## Why drawing orthogons is hard
We’re nearing the end of this little diversion on orthogons. We now know that orthogons are in 1-1 correspondence with orthobraces, and we can efficiently generate orthobraces. The only thing left is to find a way to turn orthobraces into drawings.
I described a way to turn orthobrace... | HuggingFaceTB/finemath | |
# The heat of vaporization of water at 100°C is 40.66 kJ/mol. Calculate the quantity of heat that is absorbed/re?
1) The heat of vaporization of water at 100°C is 40.66 kJ/mol. Calculate the quantity of heat that is absorbed/released when 9.00 g of steam condenses to liquid water at 100°C.
2) Calculate the total quan... | HuggingFaceTB/finemath | |
# Root Sum Squares Explained Graphically, continued (Part 9 / 13)
Author: Karl - CB Expert/Friday, September 24, 2010/Categories: Engineering Modeling
No rating The other RSS equation, that of predicted output mean, has a term dependent on 2nd derivatives that is initially non-intuitive: Why is that second term there... | HuggingFaceTB/finemath | |
Disclaimer: This is an example of a student written essay.
Any opinions, findings, conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of UKEssays.com.
# Applications of Mathematics in Real Life
✅ Paper Type: Free Essay ✅ Subject: Mathematics ✅... | HuggingFaceTB/finemath | |
# How to Prepare for Mathematics and Logical Reasoning Section of TISSNET?
Views:28223
TISSNET 2024 has been cancelled and instead will be accepting the CUET (PG) scores for all its Postgraduate (Master's degree) programs
In this article, we will discuss the trends, patterns, commonly asked questions and the strategy ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Subtract 56/45 from 12/56
1st number: 12/56, 2nd number: 1 11/45
12/56 - 56/45 is -649/630.
#### Steps for subtracting fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 56 and 45 is 2520
2. For the 1st fraction, since 56 × 45 = 2520,
12/56... | HuggingFaceTB/finemath | |
DEV Community
Terra
Posted on • Originally published at pourterra.com
Mathematics for Machine Learning - Day 8
Dear mathmaticians.
I love you math and mathematicians... but why? Today I spent the most time trying to understand and the least amount page read... And so, it has become the meme of the day.
What happe... | HuggingFaceTB/finemath | |
The Ehrenfest paradox exemplifies that a rigid body can't be defined in special relativity, but I can't convince myself that it implies non-Euclidean geometry as some sources say (https://en.wikipedia.org/wiki/Ehrenfest_paradox).
In this post question(Euclidean geometry in non-inertial frame), the answers vary from sa... | open-web-math/open-web-math | |
## Thursday, February 28, 2013
### Another Form for Complex Numbers (1)
To extend the generality of complex numbers and enhance their applicability, it's useful to write them in what's called "polar form". This instalment and the next will deal with that treatment. A critical part is finding the angle shown, referre... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from feet to decimeters is 3.048, which means that 1 foot is equal to 3.048 decimeters:
1 ft = 3.048 dm
To convert 278 feet into decimeters we have to multiply 278 by the conversion factor in order to get the length amount from feet to decimeters. We can also form a simple... | HuggingFaceTB/finemath | |
• Jul 10th 2014, 10:28 AM
Foxtrot
When it comes to math i usually have an indication as to what I am supposed to do but this task was completely impossible for me.
M(t)=53e-t/223
t=amount of years. I am supposed to calculate when the function has decreased by 1/3 of it's original size using logarithmical laws. This t... | HuggingFaceTB/finemath | |
# Cycles per Second to Radians per Second Converter
Enter the frequency in cycles per second below to get the value converted to radians per second. Do you want to convert radians per second to cycles per second?
## How to Convert Cycles per Second to Radians per Second
To convert a measurement in cycles per second ... | HuggingFaceTB/finemath | |
# Motion of ball (air viscosity concerned)
Suppose a ball of mass $$m$$ is thrown vertically upwards from the ground. I understand that the speed-time graph would be somewhat like a distorted parabola. But what about the velocity- time graph (considering air drag or viscosity)?
According to me it would attain a kind ... | HuggingFaceTB/finemath | |
Discorsi Propositions 3/09-th-06-lemma Discorsi Proposition3/09-th-06-lemma LEMMA PRO SEQUENTI. LEMMA FOR THE FOLLOWING PROPOSITION Si recta linea secta fuerit utcumque, quadrata mediarum inter totam et partes aequalia sunt quadrato totius. If a straight line be cut at any point whatever and mean proportionals be... | HuggingFaceTB/finemath | |
+0
# Not sure where to start
0
196
2
Joe had \$475 more than Nigel at first. After Nigel spent 60% of his money and Joe spent 85% of his money to buy a present together for their friend, they were left with an equal sum of money. How much did the present cost?
Jul 14, 2022
#1
+1
Let Nigel's money ==N
Joe's money... | HuggingFaceTB/finemath | |
# How to work out the volume of concrete, area of shuttering and bitumen paint area of raft footing
This construction video tutorial provides complete guidance for making calculation of volume of concrete, area of shuttering and bitumen paint in raft footing.
The calculation is done on the basis of the following dime... | HuggingFaceTB/finemath | |
# Cochran's Q test - overview
This page offers structured overviews of one or more selected methods. Add additional methods for comparisons by clicking on the dropdown button in the right-hand column. To practice with a specific method click the button at the bottom row of the table
Cochran's Q test
Pearson correlati... | HuggingFaceTB/finemath | |
+0
-1
162
1
1. secx - sinx = (1 - sinx cosx)/cosx
2. sinx + tanx sinx = (sinx cosx + sin^2 x)/cosx
3. sec^2 x + cotx = (sinx + cos^3 x)/cos^2 x sinx
Oct 28, 2019
#1
0
1 -
Verify the following identity:
sec(x) - sin(x) = (1 - sin(x) cos(x))/cos(x)
Multiply both sides by cos(x):
cos(x) (sec(x) - sin(x)) = ^?1 - ... | HuggingFaceTB/finemath | |
1. ## Proving CRT
Hi can anyone say how do I prove CRT by the following isomorphism:
If n= (m1)(m2)...(mk) where each m is relatively prime in pairs, then there is an isomorphism from Zn to ( Zm1 + Zm2 + ... + Zmk). Zn is the integers modulo n.
all I can say is that since Mi's are relatively prime then gcd of each p... | HuggingFaceTB/finemath | |
Please get in touch with us if you:
1. Have any suggestions
2. Have any questions
3. Have found an error/bug
4. Anything else ...
# 7.7 feet per second to Meters Per Second Conversion
## How many meters per second in 7.7 feet per second?
There are 2.34696 meters per second in 7.7 feet per second
To convert any val... | HuggingFaceTB/finemath | |
# 462058 (number)
462,058 (four hundred sixty-two thousand fifty-eight) is an even six-digits composite number following 462057 and preceding 462059. In scientific notation, it is written as 4.62058 × 105. The sum of its digits is 25. It has a total of 3 prime factors and 8 positive divisors. There are 228,684 positiv... | HuggingFaceTB/finemath | |
# Using models to add and subtract fractions #### All in One Place
Everything you need for better grades in university, high school and elementary. #### Learn with Ease
Made in Canada with help for all provincial curriculums, so you can study in confidence. #### Instant and Unlimited Help
0/1
##### Intros
###### Les... | HuggingFaceTB/finemath | |
# Right Cone
## Right Cone
Cone whose base has a centre and in which the segment that joins the apex to the centre is perpendicular to the plane containing the base.
### Property
If the base of a right cone is a circle, then the cone is called a right circular cone.
If the cone is not a right cone, then it is calle... | HuggingFaceTB/finemath | |
# physics
a light string 4 meters long is wrapped around a solid cylindrical spool with a radius of 0.075 m and a mass of .5 kg.a 5kg mass is then attached to the end of the string, causing the string to unwind from the spool. a. what is the angular acceleration of the spool? b. how fast will the spool be rotating aft... | HuggingFaceTB/finemath | |
Coursenotes_ECON301
# 164 1 a contract curve yields allocations xa xb ya yb
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Unformatted text preview: URE EXCHANGE ECONOMY EXAMPLE Consider a simple pure exchange economy with two... | HuggingFaceTB/finemath | |
Zeke and Monty play a game. They repeatedly toss a coin until either the sequence tail-tail-head (TTH) or the sequence tail-head-head (THH) appears. If TTH shows up first, Zeke wins; if THH shows up first, Monty wins. What is the probability that Zeke wins?
My first reaction to this question was, “It’s 50-50, right? I... | HuggingFaceTB/finemath | |
Median
Finding the median in sets of data with an odd and even number of values.
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data se... | open-web-math/open-web-math | |
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# Length
Length is a property of a thing that can be measured. One of the methods of measurement is either using a ruler or a Geometric Square. We generally measure the length of small shapes but we have made a range of sizes so you can either have an 'easy to ... | HuggingFaceTB/finemath | |
Discover a lot of information on the number 13661: properties, mathematical operations, how to write it, symbolism, numerology, representations and many other interesting things!
Mathematical properties of 13661
Is 13661 a prime number? No
Is 13661 a perfect number? No
Number of divisors 4
List of dividers 1, 19, 719... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Factors and multiples similar to Trebling:
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Broad Topics > Numbers and the Number System > Factors and multiples
### Multiply Multiples 1
##### Stage: 2 Challenge Level:
Can you complete this ca... | HuggingFaceTB/finemath | |
# What is BMI and how is it calculated?
## What is BMI and How is it Calculated?
Body Mass Index (BMI) is a numerical measure that provides an indication of whether a person’s weight is appropriate for their height. It’s a widely used tool to assess potential health risks associated with weight status, helping indivi... | HuggingFaceTB/finemath | |
# How to Apply Formula in Excel for Alternate Rows (5 Easy Ways)
We have Sales Data of a Company as our dataset. In the dataset, we have Quarterly Sales for the Years 2021 and 2022. We will find the Half-Yearly Sales by applying formula for alternate rows.
### Method 1 – Using the Fill Handle Option
Steps:
• Enter ... | HuggingFaceTB/finemath | |
Instructions
What will come in place of the question mark(?) in the following questions ?
Question 81
$$18^{2}+\sqrt{?}=350$$
Solution
Let the number to replace the question mark be equal to $$X$$
So, $$18^{2}+\sqrt{X}=350$$
So, $$324 + \sqrt{X} = 350$$
Or, $$\sqrt{X} = 350-324 = 26$$
Hence, $$X = 26^2 = 676$$
... | HuggingFaceTB/finemath | |
# Propostional Logic Symposia - [1] - Introduction and Basics
1. Philosophy Forum
2. » Logic
3. » Propostional Logic Symposia - [1] - Introduction and Basics
Mon 2 Jun, 2008 01:38 pm
I have been meaning to do a series of threads on propositional and predicate logic for a while now, so here it goes. The main purpose o... | HuggingFaceTB/finemath | |
## 57489
57,489 (fifty-seven thousand four hundred eighty-nine) is an odd five-digits composite number following 57488 and preceding 57490. In scientific notation, it is written as 5.7489 × 104. The sum of its digits is 33. It has a total of 2 prime factors and 4 positive divisors. There are 38,324 positive integers (... | HuggingFaceTB/finemath | |
# Question #0ed08
May 5, 2016
$\left(x , y\right) = \left(- 4 , 1\right)$
#### Explanation:
Performing the multiplication, first, we have
${A}^{2} = {\left(\begin{matrix}3 & 2 \\ 1 & 1\end{matrix}\right)}^{2} = \left(\begin{matrix}3 & 2 \\ 1 & 1\end{matrix}\right) \left(\begin{matrix}3 & 2 \\ 1 & 1\end{matrix}\rig... | HuggingFaceTB/finemath | |
### 1: Numeric Reasoning: Students will develop Numeric Reasoning and an understanding of Number and Operations by solving problems in which there is a need to represent and model real numbers verbally, physically, and symbolically; to explain the relationship between numbers; to determine the relative magnitude of rea... | HuggingFaceTB/finemath | |
# 5th grade math
posted by .
how do you multiply 4 1/2 x 7/8
• 5th grade math -
Change the first fraction to 9/2
then multiply the numerators, then multiply the denominators.
• 5th grade math -
switch into 2/9 multiply 2x9=18
## Similar Questions
1. ### 5th Grade math
What is a partial-products algorithm. For ... | HuggingFaceTB/finemath | |
# How To Find Discount Rate
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### Discount Calculator
(3 days ago) Calculate the list price, discount percentage or sale price given the other two values. You will also find the discount savings amount. Calculate Discount from List Price and Sale Price. The discount is list price minus the sale price then... | HuggingFaceTB/finemath | |
0
# How many hours in 340 miles at 80 miles per hour?
Updated: 12/16/2022
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4 hours 15 minutes.
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### How many hours would it take to drive a 340 miles at 55 miles pe... | HuggingFaceTB/finemath | |
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215 Handout_9(chap 12)
# 215 Handout_9(chap 12) - Handout#9 Hypothesis Testing About...
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Handout #9: Hypothesis Testing About Proportions STA215: Introductory Applied Statistics Dr. Jann-Huei Jinn Th... | HuggingFaceTB/finemath | |
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### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Dail... | HuggingFaceTB/finemath | |
# Area and Perimeter Formulas of All 2 D Shapes
The meaning of 2-D shapes is 2 dimensional shapes. In Geometry, a two dimensional shape is defined as a plane figure having two dimensions- length, and breadth (or width). 2 dimensional shapes are also known as rectilinear figures or plane figures. Students can also down... | HuggingFaceTB/finemath | |
Order of Operations with Fractions I
Lesson
In the chapter Maths in Order, we saw that some operations need to be completed before others.
Order of operations is the same for all topics within mathematics,
• operations inside grouping symbols such as parentheses (...), brackets [...] and braces {...}
• multiplicat... | HuggingFaceTB/finemath |
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