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# Is the universe flat or a ball?
• ✭✭✭✭✭
Is flatter than Earth!
• ✭✭✭✭
edited April 2020
`flat` is something about 2-dimensional,
`ball` means the same but in 3-dimensional world.
IMO our universe is quite like that but spread in 4 (or more) dimensions
PS
it can be kinda flat but still closed: https://en.wikip... | HuggingFaceTB/finemath | |
# Chapter 2 Notes
```Bails – Math 094 Notes
Section 2.1 Introduction to Variables
Variable: letter that represents part of a rule that varies.
Constant: part of a rule that does not change.
Coefficient: the number in front of the variable.
Expression: combination of variables and constants terms separated by operation... | HuggingFaceTB/finemath | |
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# Inertial Force
Reviewed by:
Last updated date: 10th Aug 2024
Total views: 368.4k
Views today: 10.68k
## An Introduction to Inertial Force
Physics is technically analogous to the contributions of Sir Isaac Newton. He is the man who revolutioni... | HuggingFaceTB/finemath | |
# What is the difference between a combinator and function chaining?
So from what I've read about combinators I can't quite tell how they're different from simply chaining function calls. I know I must be missing something but I'm not figuring out what I'm missing. I mean would g(f(x)) (where f and g are functions) ef... | HuggingFaceTB/finemath | |
# Find the solution of the Dirichlet problem in the half-plane y>0.
Find the solution of the Dirichlet problem in the half-plane $y>0$.
$${u_y}_y +{u_x}_x=0, -\infty<x<\infty,y>0$$
$$u(x,0)=f(x),-\infty<x<\infty$$
$u$ and $u_x$ vanish as
$$\lvert x\rvert\rightarrow\infty$$
and $u$ is bounded as $$y\rightarrow\infty$$
... | HuggingFaceTB/finemath | |
## 21757
21,757 (twenty-one thousand seven hundred fifty-seven) is an odd five-digits prime number following 21756 and preceding 21758. In scientific notation, it is written as 2.1757 × 104. The sum of its digits is 22. It has a total of 1 prime factor and 2 positive divisors. There are 21,756 positive integers (up to... | HuggingFaceTB/finemath | |
TVM solve for interest rate, revisited
05-13-2022, 09:31 PM (This post was last modified: 05-15-2022 08:06 PM by Albert Chan.)
Post: #1
Albert Chan Senior Member Posts: 1,785 Joined: Jul 2018
TVM solve for interest rate, revisited
Dieter Wrote:I just had a look at the TVM solver that comes with the 34s library softwar... | HuggingFaceTB/finemath | |
# ANSWERS FOR POP QUIZ! OK, All You Parents & Mature Types – If The Kids Can’t Do These Math Problems, Show Them How Good You Are! If You Can Do 1, All 10 Or Any Number In Between, Comment Below Showing Your Computations. I Will Publish Your Work Unless You Indicate ‘Do Not Publish’ – Let The Neighbors Know How Smart Y... | HuggingFaceTB/finemath | |
# Info
Only the left hand side - the interpretation - differs. For both historical (i.e. mathematical elegance) and computational (i.e. likelihoods often involve small numbers), it is common to work with the logarithm of the likelihood (called the log-likelihood, which we denote by L). In this case, of inference about... | HuggingFaceTB/finemath | |
# RRB JE Percentages Questions PDF
0
1335
## RRB JE Percentages Questions PDF
Download Top 20 RRB JE Percentage Questions and Answers PDF. RRB JE Percentage questions based on asked questions in previous exam papers very important for the Railway JE exam
Question 1: What is the value of 8.33% of 72.72% of 28.57% of... | HuggingFaceTB/finemath | |
# Convert binary degree to sign
Learn how to convert 1 binary degree to sign step by step.
## Calculation Breakdown
Set up the equation
$$1.0\left(binary \text{ } degree\right)={\color{rgb(20,165,174)} x}\left(sign\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(radian\right)... | HuggingFaceTB/finemath | |
# If {eq}\displaystyle 5 z + 4 y = z - 5 {/eq}, what is the value of {eq}\displaystyle -\dfrac 1 {2 y} {/eq}?
## Question:
If {eq}\displaystyle 5 z + 4 y = z - 5 {/eq}, what is the value of {eq}\displaystyle -\dfrac 1 {2 y} {/eq}?
## Solving an Equation for a Variable:
To solve an equation which has multiple variab... | HuggingFaceTB/finemath | |
Search a number
13669 is a prime number
BaseRepresentation
bin11010101100101
3200202021
43111211
5414134
6143141
754565
oct32545
920667
1013669
11a2a7
127ab1
1362b6
144da5
1540b4
hex3565
13669 has 2 divisors, whose sum is σ = 13670. Its totient is φ = 13668.
The previous prime is 13649. The next prime is 13679. The r... | HuggingFaceTB/finemath | |
# Where is the mistake in the calculation of $y'$ if $y = \Bigl( \dfrac{x^2+1}{x^2-1} \Bigr)^{1/4}$?
Plase take a look here.
If $y = \Bigl( \dfrac{x^2+1}{x^2-1} \Bigr)^{1/4}$
\begin{eqnarray} y'&=& \dfrac{1}{4} \Bigl( \dfrac{x^2+1}{x^2-1} \Bigr)^{-3/4} \left \{ \dfrac{2x(x^2-1) - 2x(x^2+1) }{(x^2-1)^2} \right \}\\ &... | HuggingFaceTB/finemath | |
# Random Number b/w 0 and 1 – C PROGRAM
In the last few posts I have been talking about random number generation using simple algorithms, and then testing if the numbers are truly random in nature or not.
In the last post we settled upon $(a\times r_i+c) \mathrm{mod } m$ as being a good pseudo random number generator,... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
1st number: 2 0/45, 2nd number: 24/70
#### Steps for dividing fractions
1. Find the reciprocal of the divisor
2. Now, multiply it with the dividend
So, 90/45 ÷ 24/70 = 90/45 × 70/24
3. = 90 × 70/45 × 24 = 6300/1080
4. After reducing the fraction, the answer is 35/6
5. In mixed fo... | HuggingFaceTB/finemath | |
MATHEMATICA TUTORIAL
# "ExplicitRungeKutta" Method for NDSolve
## Introduction
This loads packages containing some test problems and utility functions.
### Euler's Method
One of the first and simplest methods for solving initial value problems was proposed by Euler:
Euler's method is not very accurate.
Local acc... | HuggingFaceTB/finemath | |
# Chapter 13 (Ch. 11 in 2nd Can. Ed.)
## Presentation on theme: "Chapter 13 (Ch. 11 in 2nd Can. Ed.)"— Presentation transcript:
Chapter 13 (Ch. 11 in 2nd Can. Ed.)
Association Between Variables Measured at the Nominal Level: Phi, Cramer’s V, and Lambda
Nominal Level Measures of Association
It is always useful to com... | HuggingFaceTB/finemath | |
## Integers equally spaced on a line - help?
##### This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 23
Joined: 27 Jul 2010
Location: Washington, DC
GMAT Score:700
### Integers equally spaced on a line - help?
by saritalr » Mon Aug 09, 2010 10:17 am
This problem threw me off the first time around. No... | HuggingFaceTB/finemath | |
# Subset of $\mathbb{Q}$
Let $S= \{x_0,\dots,x_n\}$ be a finite subset of $[0,1]$ , $x_0=0$ and $x_1=1$ such that every distance between pair of elements of $S$ occurs at least twice, except for the distance $1$, then we are to show that $S$ is a subset of $\mathbb{Q}$.
Let $V$ be the $\mathbb{Q}$-vector space genera... | HuggingFaceTB/finemath | |
# Homework 1 – due January 20th
```Homework 1 – due January 20th
In the class we defined the definite integral of a continuous function as
Z
lim Ln = lim Rn =
n→∞
n→∞
b
f (x) dx,
a
where Rn and Ln are the right Riemann sum and the left Riemann sum respectively.
In this assignment we’ll consider the definite integral o... | HuggingFaceTB/finemath | |
# Using the Pythagorean Theorem, how do you find the length of a leg of a right triangle if the other leg is 8 feet long and the hypothenuse is 20?
Jun 10, 2016
Length of other leg of right triangle is $18.33$ feet
#### Explanation:
According to Pythagoras theorem, in a right angled triangle, the square of hypotenu... | HuggingFaceTB/finemath | |
Different types of Word Problems on Quadratic Equations by Factoring are available on this page. So, the students who feel they are lagging in the concept of a quadratic equation can make use of our page and practice the problems. Learn the unknown values of x with the help of the factorization method of a quadratic eq... | HuggingFaceTB/finemath | |
# 1.64: Wigner Distribution for the Double Slit Experiment
The quantum mechanical interpretation of the double‐slit experiment is that position is measured at the slit screen and momentum is measured at the detection screen. Position and momentum are conjugate observables connected by a Fourier transform and governed... | open-web-math/open-web-math | |
# Thread: Range of f
1. ## Range of f
let f:NxN->N be defined by f(x,y)=(1/2)(x+y)(x+y-1)-(1-y)
Is f one-to-one? Does f map (NxN) to N or onto N (meaning are all values in N in the range of f or is the range a subset of N)?
Can I get a hint on how to go about answering either of those questions. I know what each of... | HuggingFaceTB/finemath | |
Ask your question Login with google. XYZ Inc. produces two types of paper towels?regular and super-soaker. A line passes through the points (-3,-5) and (6,1). MZADE - mZCDF 4. def. Question sent to expert. a cylinder is exactly 3 times bigger than a cone with the same height and radius. During the ex a2 = b2 + c2 – 2bc... | open-web-math/open-web-math | |
GET READY FOR THE AMC 12 WITH AoPS
Learn with outstanding instructors and top-scoring students from around the world in our AMC 12 Problem Series online course.
# 2008 AMC 12B Problems
2008 AMC 12B (Answer Key)Printable versions: Wiki • AoPS Resources • PDF Instructions This is a 25-question, multiple choice test. E... | HuggingFaceTB/finemath | |
# Hard Magnetism Problem
• AznBoi
Since both currents are in the opposite direction, the magnetic force per unit length is also in the opposite direction. The magnitude of the current is 8.3 A.
## Homework Statement
Two long parallel wires, each with a mass per unit length of 40g/m, are supported in a horizontal pla... | HuggingFaceTB/finemath | |
# Completion Theorem (Measure Spaces)
## Theorem
Let $\left({X, \Sigma, \mu}\right)$ be a measure space.
Then there exists a completion $\left({X, \Sigma^*, \bar \mu}\right)$ of $\left({X, \Sigma, \mu}\right)$.
## Proof
We give an explicit construction of $\left({X, \Sigma^*, \bar \mu}\right)$.
To this end, defin... | HuggingFaceTB/finemath | |
# Thread: initial value DE problem
1. ## initial value DE problem
dy/dx= (x+1)y/2x^2 where y(1)=1, for all x>=1
i ended up with
y^2/2= 1/2 ln (2x^2)+1/4 tan-1 (x/2) + K
anythoughts?
2. I think this DE is separable
$\frac{dy}{dx}= \frac{(x+1)y}{2x^2}$
$\frac{dy}{y}= \frac{(x+1)}{2x^2}~dx$
$\int\frac{1}{y}~dy= \... | HuggingFaceTB/finemath | |
## What is R.M.S Harmonics?
Example:
A complex wave, having a r.m.s. value of 200V has 15 per cent third harmonic and 8 per cent fifth harmonic. Find ther.m.s. value of fundamental and other harmonics.
Solution:
V3 = 15/100 V1,V5 = 8/100 V1
V = (V12 + V32 + V52)1/2
200 = √([V12 + (0.15V1 )2 + (0.08V1)2] = 1.014V1... | HuggingFaceTB/finemath | |
# Questions on Algebra: Equations answered by real tutors!
Algebra -> Algebra -> Equations -> Questions on Algebra: Equations answered by real tutors! Log On
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework prob... | HuggingFaceTB/finemath | |
# Covariance and Beta: can anyone explain this calculation?
Let us consider a simple equity portfolio that has exposures to only two factors: 0.5 exposure to value and 0.8 exposure to momentum. Let us assume that the volatilities of the two factors are 3% for value and 5% for momentum and the correlation between them ... | open-web-math/open-web-math | |
# Gases
Télécharger la présentation
## Gases
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript
1. Gases Chapter 20
2. Gases • Gases and liquids are both fluids – they are substances that flow. • Because of this, the behav... | HuggingFaceTB/finemath | |
# 4: Fundamental Principle of Counting and Rules of Probability
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand... | HuggingFaceTB/finemath | |
# Is There a Difference Between Percent and Percentage? Unveiling the Mystery
Have you ever wondered if there is a difference between percent and percentage? Well, you’re not alone. Many people find themselves confused when it comes to using these two terms. At first glance, they may seem interchangeable, but in reali... | HuggingFaceTB/finemath | |
## Exterior Power
**Definition**. Suppose $I$ is an index set, $V$ and $W$ are linear vector spaces, a multilinear map $f:\oplus_{i\in I} V\to W$ is called an *alternating operator* if $f((v_i)_{i\in I})=0$ whenever $(v_i)_{i\in I}\in \oplus_{i\in I} V$ is a family of linearly dependent vectors in $V$, here $\oplus_{i... | open-web-math/open-web-math | |
## STOR 455 Introduction to logistic regression
“Why shouldn’t I just use ordinary least squares?” Good question.
Consider the linear probability (LP) model:
$$Y=a+B X+e$$
where
• $\mathrm{Y}$ is a dummy dependent variable, $=1$ if event happens, $=0$ if event doesn’t happen,
• a is the coefficient on the constant te... | HuggingFaceTB/finemath | |
# college
posted by .
from 0 to (π/2) ∫(sin^3θ cos^3θ dθ)
• Math, not "college" -
Please type your subject in the School Subject box. Any other words, including obscure abbreviations, are likely to delay responses from a teacher who knows that subject well.
• Integral calculus -
When the sin/cos are in odd powe... | HuggingFaceTB/finemath | |
# Strategy with Kristy: Poker Maths Part 2 with Aaron Wilt
This week on the Strategy with Kristy podcast, host Kristy Arnett brings Aaron "WiltOnTilt" Wilt back on the show to discuss how to use maths in-game. After giving brief descriptions for the terms hand ranges, pot equity, and expected value, Wilt breaks down h... | HuggingFaceTB/finemath | |
Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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## #26 2006-02-05 16:39:49
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### Re: A problem!!!!
No John, the arm is 40cm long. I know this getting to be a long thread, but there is a good illustr... | HuggingFaceTB/finemath | |
# How many milligrams of Vitamin C were in the original tablet?
1. Feb 19, 2012
### ammora313
1. The problem statement, all variables and given/known data
You ground your vitamin C tablet and dissolved it in 250. mL of water in a volumetric flask. You used a 25.0 mL aliquot of this solution for your titration. If i... | HuggingFaceTB/finemath | |
Find the principal values of $$cot^{-1}(-\sqrt{3})$$
Asked by Sakshi | 1 year ago | 63
##### Solution :-
Given cot-1 $$(-\sqrt{3})$$
Let y = cot-1 $$(-\sqrt{3})$$
$$– Cot (\dfrac{\pi}{6}) = (\sqrt{3})$$
= $$Cot (π – \dfrac{\pi}{6})$$
= $$cot (\dfrac{5\pi}{6})$$
The range of principal value of cot-1 is (0, π) a... | HuggingFaceTB/finemath | |
12,997,038 members (58,365 online)
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#### Stats
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Posted 11 Sep 2008
# Convex Hull
, 11 Sep 2008
Rate this:
Computing the convex hull of a given set of points
## Introduction
Imagine that you have a piece of wood and a number of metal pins come out from it randomly (as in ... | HuggingFaceTB/finemath | |
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Multiplying Binomials
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In this lesson, students will learn how to multiply binomials by usi... | HuggingFaceTB/finemath | |
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# 6.2 Number and bar scales
## 6.2 Number and bar scales (EMG4Q)
### Introduction to number and bar scales (EMG4R)
The two kinds of scale we will be working with in this chapter are the number scale and the bar scale. The number scale is expressed as a rat... | HuggingFaceTB/finemath | |
# Prove the limit exists
I was toying around with Abel summability when I stumbled upon a limit I could not prove existed.
$$\lim_{x\to-1^+}\sum_{n=2}^\infty x^n\ln(n)\tag{*}$$
While it may not be clear that such a limit could converge, it may be helpful to note a similar example:
$$\lim_{x\to-1^+}\sum_{n=1}^\infty... | open-web-math/open-web-math | |
Courses βeta
Data Structures
## Rank of a Matrix
What is rank of a matrix?
Rank of a matrix A of size M x N is defined as
(a) Maximum number of linearly independent column vectors in the matrix or
(b) Maximum number of linearly independent row vectors in the matrix.
Example:
Input: mat[][] = {{10, 20, 10},
{2... | HuggingFaceTB/finemath | |
### Home > CC3 > Chapter 8 > Lesson 8.2.4 > Problem8-110
8-110.
Use the laws of exponents to simplify the following expressions.
1. $(x^2)(x^5)$
When multiplying two terms with the same base, add the exponents together.
$x^{\left(2 + 5\right)}$
1. $\frac { y ^ { 7 } } { y ^ { 4 } }$
When dividing two terms wit... | HuggingFaceTB/finemath | |
# Is this an energy or power signal?
Is the given input signal x[n] an energy or power signal?
The image shows what I did so far. Is it correct?
Thank you!
EDIT:
I solved it again, please tell me if I did it correctly this time.
$$E= \lim\limits_{n \to \infty}\sum_{n=-N}^N = |4^nu[n]|$$ $$E= \lim\limits_{n \to \i... | HuggingFaceTB/finemath | |
# Y = 10 ^ x derivace
Given a function , there are many ways to denote the derivative of with respect to . The most common ways are and . When a derivative is taken times, the notation or is used. These are called higher-order derivatives. Note for second-order derivatives, the notation is often used. At a point , the... | HuggingFaceTB/finemath | |
$$\require{cancel}$$
# 14.2: Measuring Pressure
[ "article:topic", "authorname:openstax", "pressure", "absolute pressure", "Gauge Pressure", "license:ccby" ]
Skills to Develop
• Define gauge pressure and absolute pressure
• Explain various methods for measuring pressure
• Understand the working of open-tube baromet... | HuggingFaceTB/finemath | |
# Is T a continuous linear map?
For the function $$f \in L^2 ([-\pi,\pi])$$ define the map $$T: L^2([-\pi, \pi]) \to R$$ as $$T(f)=a_1+b_1$$ if the Fourier series of $$f$$ is of the form
$$f$$ ~ $$a_0 +\sum_{n=1}^{\infty} (a_ncos(nx)+b_nsin(nx))$$
How to prove that T is a continuous linear map?
I took the limit to ... | HuggingFaceTB/finemath | |
# Page numbering
The book has 88 pages. How many times is the number 4 used for the book numbering?
n = 18
### Step-by-step explanation: Did you find an error or inaccuracy? Feel free to write us. Thank you! Tips to related online calculators
Would you like to compute count of combinations?
## Related math problem... | HuggingFaceTB/finemath | |
# From ket vectors to wavefunction 2
In our previous post Position Operator: From Ket vectors to wavefunctions we have seen that wavefunctions are the scalar product of ket vectors with position eigenkets. More precisely we call these position space wavefunctions. We can also have momentum space wavefunctions which ar... | HuggingFaceTB/finemath | |
1. In other words, it is a graph having at least one loop or multiple edges. It decreases. A connected graph $G$ is called Hamiltonian graph if there is a cycle which includes every vertex of $G$ and the cycle is called Hamiltonian cycle. A statistical graph or chart is defined as the pictorial representation of statis... | HuggingFaceTB/finemath | |
# What Is Work? Whenever an object is displaced, work occurs. Some examples of this include a bat hitting a ball, a coolie lowering a bag to the ground, or a cyclist paddling a cycle.
There is an uncanny symmetry between the way work is done and the energy it requires. The magnitude of force is equal to the magnitude ... | HuggingFaceTB/finemath | |
# Resonant frequency in parallel
I'm currently learning about resonant frequency and harmonics under ac theory in tafe, and I've read a few things about resonant frequency in parallel, and it seems as if impedance at resonant frequency is at maximum, but when calculating impedance with Pythagoras theorem, we say that ... | HuggingFaceTB/finemath | |
# CBSE Class 8 Science Revision Notes Chapter 11 – Force and Pressure
## Revision Notes for CBSE Class 8 Science Chapter 11 – Free PDF Download
Free PDF download of Class 8 Science Chapter 11 – Force and Pressure Revision Notes & Short Key-notes prepared by expert Science teachers from latest edition of CBSE(NCERT)... | HuggingFaceTB/finemath | |
# 2.10 To identify the effect of forces
Page 1 / 1
## Memorandum
Fig 1 - A force can change the course (direction) of a moving object.
Fig 2 - A force can halt a moving object.
Fig 3 - A force change the shape of an object.
Fig 4 - A force can change the speed of a moving object.
Fig 5 - A force can make an obj... | HuggingFaceTB/finemath | |
Fourier series /fourier transform proof
I want to prove that for the function
$$f(x) = \begin{cases} \frac{π}{4} & 0 <x < π \\ \frac{-π}{4} & -π < x < 0 \end{cases}$$
the Fourier series is: $$f(x) = \sin x + \frac{\sin3x}{3} + \frac{\sin5x}{5} + \frac{\sin7x}{7}+\dots$$
[My Attempt] $$f(x) = a_0\sum_{i=0}^∞ a_n\cos... | HuggingFaceTB/finemath | |
Search by Topic
Resources tagged with Multiplication & division similar to Beat the Drum Beat!:
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Broad Topics > Calculations and Numerical Methods > Multiplication & division
Multiplication Series: Illustrating Number Properties with Arrays
Sta... | HuggingFaceTB/finemath | |
The pitch of a roof is the term used to indicate the slope of the sides of the roof surface or the inclination of these sides with respect to a horizontal plane or a surface absolutely flat and parallel to the horizon. Evidently the pitch of any roof may vary to an almost infinite extent. It may be absolutely flat or i... | HuggingFaceTB/finemath | |
# GMAT Gurus Speak Out: Permutation and Combination Basics
Aiming for a 700+ on the GMAT? You never know when a challenging combination or permutation question will pop up three-quarters of the way through your exam to wreck havoc on your score. This advanced concept is not as commonly tested as algebra fundamentals o... | HuggingFaceTB/finemath | |
# Difference equation
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
An equation containing finite differences of an unknown function. Let be a function depending on an integer argument ; let be the finite differences. The expression contains values of the function at the points . The for... | HuggingFaceTB/finemath | |
## Matt Stafford has a 17-28 record, which has little predictive value
The guy on the right was a loser until he wasn't.
Longtime readers of this blog know that I’m not a big fan of Matt Stafford. Last year, when most people were praising his breakout 2011 season, I questioned whether he was as good as his backers cl... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from centimeters to meters is 0.01, which means that 1 centimeter is equal to 0.01 meters:
1 cm = 0.01 m
To convert 137 centimeters into meters we have to multiply 137 by the conversion factor in order to get the length amount from centimeters to meters. We can also form a... | HuggingFaceTB/finemath | |
Algebra Tutorials!
Home Rational Expressions Graphs of Rational Functions Solve Two-Step Equations Multiply, Dividing; Exponents; Square Roots; and Solving Equations LinearEquations Solving a Quadratic Equation Systems of Linear Equations Introduction Equations and Inequalities Solving 2nd Degree Equations Review Solv... | HuggingFaceTB/finemath | |
# Secondary Math
Fill in the empty spaces to complete the puzzle. In any row, the two left spaces should multiply to equal the right-hand space. In any column, the two top spaces should multiply to equal the bottom space.
________| - 3 | ___________
3 | -5x+1 |-15x+3
_______ | ________| 30x²-96x+18
MY WORK
1. 👍 0
... | HuggingFaceTB/finemath | |
0
# Solve the system of equations Enter your answer as an ordered pair 4x plus 7y equals 60 negative 4x plus 7y equals negative 4?
4X + 7Y = 60
-4X + 7Y = - 4
-----------------------+
14Y = 56
Y = 4
---------
insert back into one of these equations to find X
4X + 7(4) = 60
4X + 28 = 60
4X = 32
X = 8
---... | HuggingFaceTB/finemath | |
Differential_Equations_Practice
# Differential_Equations_Practice - Dierential Equations...
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Differential Equations Practice 1. Suppose that y ( x ) is a function which is never zero and satisfies the differential equation - y 0 = 2 xy 2 . Suppose also that... | HuggingFaceTB/finemath | |
# Critical points of Sec x on an interval?
g(x)= sec(x) on the closed interval [ -pi/6, pi/3]..... I got the derivative of Sec x Tan x but I don't know what to do from there
Relevance
• 8 years ago
g(x) = y = sec(x)
dy ⁄ dx = sec(x) • tan(x) ... set to zero for min/max
0 = sec(x) • tan(x)
... either or both of t... | HuggingFaceTB/finemath | |
# 243 and Level 5
• 243 is a composite number.
• Prime factorization: 243 = 3 x 3 x 3 x 3 x 3, which can be written 243 = (3^5)
• The exponent in the prime factorization is 5. Adding one we get (5 + 1) = 6. Therefore 243 has 6 factors.
• Factors of 243: 1, 3, 9, 27, 81, 243
• Factor pairs: 243 = 1 x 243, 3 x 81, or 9 ... | HuggingFaceTB/finemath | |
# Frequency Distribution Chart
Frequency distribution chart is a tabulation of values that one or more variables taken from a sample. A frequency distribution shows the number of observations falling into each of several ranges of values. Frequency distributions are portrayed as frequency tables, histograms, or polygo... | HuggingFaceTB/finemath | |
JSH: Breaking Galois Theory
In the ring of algebraic integers consider the special construction:
7*(175x^2 - 15x + 2) = (5a_1(x) + 7)(5a_2(x)+ 7)
where the a's are roots of
a^2 - (7x-1)a + (49x^2 - 14x) = 0
with x=1+sqrt(-6) which is chosen because it is a factor of 7, as (1+sqrt(-6))(1-sqrt(-6)) = 7.
Notice that... | HuggingFaceTB/finemath | |
# An Intermediate Arithmetic: Uniting Mental and Written Exercises in a Natural System of Instruction
Van Antwerp, Bragg & Company, 1876 - 225 páginas
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Página 109 - To divide a whole... | HuggingFaceTB/finemath | |
Search a number
8885 = 51777
8885 has 4 divisors (see below), whose sum is σ = 10668. Its totient is φ = 7104.
The previous prime is 8867. The next prime is 8887. The reversal of 8885 is 5888.
8885 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
I... | HuggingFaceTB/finemath | |
# Light reflection and refraction Worksheet-17
Light reflection and refraction Worksheet-17
1. The refractive index of glass is 3/2 and refractive index of water is 4/3. What would be the refractive index of water with respect to glass?
1. What are the conditions for no refraction of light ?
1. A ray of light pass... | HuggingFaceTB/finemath | |
Next: Bypassing the Bayes' theorem Up: Uncertainty due to systematic Previous: Indirect calibration Contents
## Counting measurements in the presence of background
As an example of a different kind of systematic effect, let us think of counting experiments in the presence of background. For example we are searching... | HuggingFaceTB/finemath | |
# Subtract Whole Numbers up to and including 1,000
Just like in addition, you will also need to have a strong understanding of place value to subtract numbers. When subtracting remember we are taking away, not adding too. There are multiple strategies that can be used to subtract two numbers. Let’s use these two numbe... | HuggingFaceTB/finemath | |
# Dalton's Law question.
yaho8888
## Homework Statement
A sample was collected into a 1.25L tank at 752 mm Hg and analyzed. The analysis showed 92% CO2, 3.6% NO, 1.2% SO2, and 4.1% H2O by mass(key word mass). what is the partial pressure exerted by each gas.
attempt at a solution:
I know that you need to times the ... | HuggingFaceTB/finemath | |
# $n$ identical oranges to $k$ identical kids [duplicate]
I think that this is quite basic, but I can't seem to get it:
Given $n>0$ identical oranges, and $k \leq n$ identical kids. In how many ways can I divide the oranges between the kids, when every kid gets at least one orange.
Notice that the kids are also iden... | HuggingFaceTB/finemath | |
## Saturday, November 12, 2011
### The Largest Prime Number Conjecture
Yesterday (11/11/11) was a special day in terms of the calendar numerology. In China, many young people called this day as the “bachelor day of the century”, as every number in the calendar is “1”, single as bachelor. And, this won’t happen again ... | HuggingFaceTB/finemath | |
# Is 0.6 A Strong Correlation?
## Is a correlation of 0.5 strong?
Correlation coefficients whose magnitude are between 0.5 and 0.7 indicate variables which can be considered moderately correlated.
Correlation coefficients whose magnitude are between 0.3 and 0.5 indicate variables which have a low correlation..
## W... | HuggingFaceTB/finemath | |
# 2019 AMC 8 Problems/Problem 15
## Problem 15
On a beach $50$ people are wearing sunglasses and $35$ people are wearing caps. Some people are wearing both sunglasses and caps. If one of the people wearing a cap is selected at random, the probability that this person is also wearing sunglasses is $\frac{2}{5}$. If in... | HuggingFaceTB/finemath | |
Question
# If b is the mean proportion between a & c,show that b(a+c)is the mean proportion between (a*a+b*b)&(b*b+c*c)
Solution
## Correct question : If b is the mean proportional between a and c, prove that ( ab + bc ) is mean proportional of (a 2+b 2) and (b 2+c 2) . Solution : Given : b is the mean proporti... | HuggingFaceTB/finemath | |
# Search by Topic
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Broad Topics > Using, Applying and Reasoning about Mathematics > Mathematical modelling
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This is the section ... | HuggingFaceTB/finemath | |
# Kempner function
Graph of the Kempner function
In number theory, the Kempner function S(n)[1] is defined for a given positive integer n to be the smallest number s such that n divides the factorial s!. For example, the number 8 does not divide 1!, 2!, 3!, but does divide 4!, so S(8) = 4.
This function has the prop... | HuggingFaceTB/finemath | |
## ashleysmith 3 years ago Whats the law of detachment and law of syllogism for this conditional: " If you shop at Walmart, then you will save money and live better"
1. ashleysmith
is the answer for law of syllogism this - if you will save money and live better then you are happy.
2. ashleysmith
is that correct..lo... | HuggingFaceTB/finemath | |
Safehubcollective.org
Save your time and search cool lifehacks here!
## What does a negative number in parentheses mean?
Definition of Amounts in Parentheses For example, parentheses could indicate any of the following: A negative amount, such as a negative balance in your check register. A credit balance in an acco... | HuggingFaceTB/finemath | |
The waiting time until a subway train arrives follows a uniform distribution
# The waiting time until a subway train arrives follows
• Test Prep
• kwin30
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16.The waiting time until a subway train arrives follows a u... | HuggingFaceTB/finemath | |
Classes
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##### 1. Evaluate each limit by using theorems of limits:(v) \operatorname{Lim}_{x \rightarrow 2}... | HuggingFaceTB/finemath | |
## 59517
59,517 (fifty-nine thousand five hundred seventeen) is an odd five-digits composite number following 59516 and preceding 59518. In scientific notation, it is written as 5.9517 × 104. The sum of its digits is 27. It has a total of 4 prime factors and 12 positive divisors. There are 37,248 positive integers (up... | HuggingFaceTB/finemath | |
## Calculus 8th Edition
Published by Cengage
# Chapter 6 - Inverse Functions - 6.2 Exponential Functions and Their Derivatives - 6.2 Exercises - Page 418: 44
#### Answer
$f'(z)=-\frac{e^{\frac{z}{(z-1)}}}{(z-1)^{2}}$
#### Work Step by Step
$f'(z)=\frac{d}{dz}[e^{\frac{z}{(z-1)}}]$ Apply chain rule. $f'(z)=[e^{\fr... | HuggingFaceTB/finemath | |
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exam2 solution
# exam2 solution - AMS 301 Exam 2 Solution Ning SUN 1(20 pt...
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# Keen – Complete the Latin Square – Puzzle Game
### Keen
You have a square grid; each square may contain a digit from 1 to the size of the grid. The grid is divided into blocks of varying shape and size, with arithmetic clues written in them. Your aim is to fully populate the grid with digits such that:
• Each row ... | HuggingFaceTB/finemath | |
# Combinatorial number system
In mathematics, and in particular in combinatorics, the combinatorial number system of degree k (for some positive integer k), also referred to as combinadics, is a correspondence between natural numbers (taken to include 0) N and k-combinations, represented as strictly decreasing sequenc... | HuggingFaceTB/finemath | |
# If $f\left(x\right)$ is continuous at $x=\pi$, where $f\left(x\right)=\frac{\sqrt{2+\mathrm{cos}x}-1}{{\left(\pi -x\right)}^{2}}\text{, for}\phantom{\rule{1ex}{0ex}}x\ne \pi$, then $f\left(\pi \right)=$
A
$\frac{1}{4}$
B
$\frac{-1}{4}$
C
$\frac{1}{2}$
D
$\frac{-1}{2}$
Video Solution
Text Solution
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Lec02_ComplexityBasicConcept_1
# Lec02_ComplexityBasi - Concept of Basic Time Complexity Problem size(Input size Time analysis(A-priori analysis Problem instances An instance is
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Concept of Basic Time Complexity Problem size (Input size) Time analysis (A... | HuggingFaceTB/finemath | |
# Which node is the root
A tree is a non-linear abstract data type with a hierarchy-based structure. It consists of nodes (where the data is stored) that are connected via links. The tree data structure stems from a single node called a root node and has subtrees connected to the root.
Tree is a non-linear data struc... | HuggingFaceTB/finemath |
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