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# How do you write the equation of the line that passes through (–1, 5) with a slope of 2 in standard form?
Jul 3, 2016
$y = 2 x + 7$
#### Explanation:
First find the intercept using the equation
$y = m x + c$
Where -
$m = 2$
$x = - 1$
$y = 5$
$m x + c = y$
$2. \left(- 1\right) + c = 5$
$- 2 + c = 5$
$c = 5 + 2... | HuggingFaceTB/finemath | |
Paul's Online Notes
Home / Calculus I / Review / Solving Trig Equations
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You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode... | HuggingFaceTB/finemath | |
# Regularity of a language with odd and even positions containing an even number of 1's
Given an alphabet $\Sigma = \{0, 1\}$ and a formal language $$L = \{ w \in \Sigma^* |\ |\mathrm{odd}(w)|_1, |\mathrm{even}(w)|_1 \text{are even numbers} \}$$
That means that the number of 1's in the odd and even positions of a giv... | HuggingFaceTB/finemath | |
Homework Help: Cramer's Rule Original Problem
1. Mar 20, 2009
1. The problem statement, all variables and given/known data
Let the curve
A + By + Cx + Dy^2 + Exy + x^2 = 0
be given. It passes through the points (x_1, y_1),...,(x_5, y_5). Determine the A, B, C, D, and E.
2. Relevant equations
3. The attempt at a ... | HuggingFaceTB/finemath | |
# Probability Theory Review¶
• (a) (#) Proof that the "elementary" sum rule $p(A) + p(\bar{A}) = 1$ follows from the (general) sum rule $$p(A+B) = p(A) + p(B) - p(A,B)\,.$$
(b) (###) Conversely, derive the general sum rule $p(A + B) = p(A) + p(B) - p(A,B)$ from the elementary sum rule $p(A) + p(\bar A) = 1$ and the p... | HuggingFaceTB/finemath | |
Find CDF of random variable which depends on other variable
Let $X$ be a random variable with uniform distribution on $[-1, 1]$. Find the CDF of random variable Y given by the following formula:
$Y = \left\{\begin{matrix} -\frac{1}{2},& X < - \frac{1}{2}\\ X,& -\frac{1}{2} \leq X \leq \frac{1}{4}\\ \frac{1}{4}, & X >... | HuggingFaceTB/finemath | |
# How to Calculate Overhead Cost Per Unit
by Jay Way; Reviewed by Michelle Seidel, B.Sc., LL.B., MBA; Updated April 24, 2019
Overhead cost is an indirect cost, providing common benefit to the production of different lines of products or rendering of a range of services. Unlike direct labor and material costs that can... | HuggingFaceTB/finemath | |
# How to combine two FORs into one
This might be stupid, but I'm want to know if it's possible, lets start with 5x5 a matrix
``````int[][] x = new int[5][5];
Random rg = new Random();
``````
now let's fill it with Pseudo Random information
``````for(int i=0;i<5;i++){
for(int j =0; j<5;j++){
x[i][j] = rg.nextInt();
... | HuggingFaceTB/finemath | |
0
# What are the pre fire checks for the m777 a2?
Updated: 9/23/2023
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### How do you solve x squared plus 9 equals to zero?
The answer is x = 3i and ... | HuggingFaceTB/finemath | |
Now that we know how to symbolically write the converse, inverse, and contrapositive of a given conditional statement, it is time to state some interesting facts about these logical statements. 1. Directions: Read each question below. As we analyze the truth tables, remember that the idea is to show the truth value for... | HuggingFaceTB/finemath | |
Human Population Graphing Lab
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This simple yet effective lab allows students to strengthen their graphing skills using real word data. Studen... | HuggingFaceTB/finemath | |
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# How will describe the sign of integers?
Updated: 9/18/2023
Wiki User
14y ago
A positive number is one that is greater than zero. A negative number is one that is less than zero. To visualize this, it is convenient to look at the numbers on a number line. A positive number is to the right of zero.
Wiki User
1... | HuggingFaceTB/finemath | |
You will need
• calculator;
• - protractor;
• - the range.
Instruction
1
To find the area of a triangle, multiply the length of its side to the height (the perpendicular on this side from the opposite vertex) and divide the resulting product by two. As a formula this rule as follows:
S = ½ * a * h,
where:
S – the are... | HuggingFaceTB/finemath | |
# math *IMPORTANT
posted by .
HENRY PROGRAMMED A CALCULATOR TO RANDOMLY DISPLAY A DIGIT FROM 0 THROUGH 9. THE RESULTS OF THE FIRST 50 DISPLAYS ARE SHOWN ON THE TABLE BELOW. WHAT IS THE POSITIVE DIFFERENCE BETWEEN THE THEORETICAL PROBABILITY AND EXPERIMENTAL PROBABILITY FOR GETTING A 9 IF EACH DIGIT HAS AN EQUAL CHANC... | HuggingFaceTB/finemath | |
# mole fraction formula
Mole Fraction. Mole fraction = moles of a constituent/sum of moles of all constituents (mass of the mixture) Or. A solution is prepared by mixing 100.0 g of water, H2O, and 100.0 g of ethanol, C2H5OH. To calculate mole fraction of solute you first calculate the moles of the solute and then you ... | HuggingFaceTB/finemath | |
Question 93
# Let $$a_{1},a_{2},a_{3},a_{4},a_{5}$$ be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with $$2a_{3}$$If the sum of the numbers in the new sequence is 450, then $$a_{5}$$ is
Solution
Sum of the sequence of even numbers is $$2a_{3} + (2a_{3} ... | HuggingFaceTB/finemath | |
## Algebra 1: Common Core (15th Edition)
Published by Prentice Hall
# Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Practice and Problem-Solving Exercises - Page 618: 39
#### Answer
Yes, they are right angles
#### Work Step by Step
The legs are 50 and 120 and the hypotenuse is 13... | HuggingFaceTB/finemath | |
# To understand the notation of $| a, a \oplus b \rangle$
This must be trivial but I can't find a clear explanation of the notation of $$| a, a \oplus b \rangle$$.
It is the resulting state after applying a CNOT gate to $$|a,b\rangle$$: $$\rm{CNOT}|a,b\rangle = | a, a \oplus b \rangle$$.
Is it correct that $$| a, a ... | HuggingFaceTB/finemath | |
Measuring Area of Irregular Shapes
140,525
27
22
This instructable combines a few mathematical tricks to enable you to calculate the area of irregular shapes.
I come from a farming background. One of the things we often had to do, was measure the area of a section of land in order to calculate how much fertiliser ... | HuggingFaceTB/finemath | |
### Purr-fection
What is the smallest perfect square that ends with the four digits 9009?
### Old Nuts
In turn 4 people throw away three nuts from a pile and hide a quarter of the remainder finally leaving a multiple of 4 nuts. How many nuts were at the start?
### Mod 7
Find the remainder when 3^{2001} is divided ... | HuggingFaceTB/finemath | |
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Mathematics - Matrices - Invertible Matrices
1.(a) If A is invertible and AB = AC, prove that B = C.
(b) Let A =24
1 1
1 135 explain why A is not invertible.
(c) Let A =24
1 1
1 135, ¯nd 2 matrices B and C, B 6= C such that AB = AC.
2.
(a) If a square matrix A has the property that row 1 + ro... | HuggingFaceTB/finemath | |
# Prince Rupert's cube
Jump to navigation Jump to search
In geometry, Prince Rupert's cube (named after Prince Rupert of the Rhine) is the largest cube that can pass through a hole cut through a unit cube, i.e. through a cube whose sides have length 1, without splitting the cube into two pieces. Its side length is ap... | HuggingFaceTB/finemath | |
# What are the domain and range of Y=3x^2 ?
Nov 5, 2017
Domain: $\left(- \infty , + \infty\right)$ Range: $\left[0 , + \infty\right)$
#### Explanation:
$Y = 3 {x}^{2}$
$Y$ is defined $\forall x \in \mathbb{R} \to$ Domain of $Y$ is $\left(- \infty , + \infty\right)$
${x}^{2} \ge 0 \forall x \in \mathbb{R}$
$\ther... | open-web-math/open-web-math | |
# Proof that $f$ is Riemann integrable without Lebesgue criteria
Consider $f$ and let it be Riemann integrable on $[0,1]$ and Lebesgue measurable on $[0,1]$. Show that function is Lebesgue integrable (without Lebesgue-theorem).
I thought about considering lower and upper Daurboux sums $M(x)$ and $m(x)$ and we know th... | HuggingFaceTB/finemath | |
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# LIC HFL Associate/ Assistant Numerical Ability Questions – (Day-06)
Dear Aspirants, Our IBPS Guide team is providing new series of Numerical Ability Questions for LIC HFL Associate/ Assistant 2019 so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding... | HuggingFaceTB/finemath | |
# algbera
if possibly completely factor the factor the expression(if the polynomial is not factorable using integers enter prime)
x^2+10x+16
1. 👍 0
2. 👎 0
3. 👁 83
1. (x+8)(x+2)
1. 👍 0
2. 👎 0
## Similar Questions
1. ### ALGEBRA
If possible, completely factor the expression. (If the polynomial is not factorabl... | HuggingFaceTB/finemath | |
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## Base length of Crossed Rectangle given area Solution
STEP 0: Pre-Calculation Summa... | HuggingFaceTB/finemath | |
# Bipolar Coordinate System
Feel like "cheating" at Calculus? Check out our Practically Cheating Calculus Handbook, which gives you hundreds of easy-to-follow answers in a convenient e-book.
There are several different ways to define a bipolar coordinate system. Two of the most common are Grubert’s bipolar system and... | HuggingFaceTB/finemath | |
# Find electric potential of field inside and outside nucleus
• vbrasic
In summary, to derive the expression for the electrostatic potential energy of an electron in the field of a finite nucleus of charge, ##+Ze##, and radius, ##R=r_0A^{1/3}##, we first approximate the nucleus as being point-like for ##r>R## and use ... | HuggingFaceTB/finemath | |
# Ground Plan - Prove Fermat-Euclid's Totient Theorem with Lagrange's Theorem
If $\gcd(a,n) = 1$, then $a^{\phi(n)}\equiv 1\pmod n$. Here's a three-step proof.
1. An integer a is invertible means there's some $a^{-1}$ such that $aa^{-1}\equiv 1 \pmod n$. By cause of Jones p84 lemma 5.1 and the Linear Congruence Theor... | HuggingFaceTB/finemath | |
# How to Calculate the Grade You Need to Pass a Class
Passing a class is the main goal of any student. Understanding your current standing in the course and what it takes to secure a passing grade is super important.
It doesn’t matter if you’re approaching the end of the semester or just want to stay on top of your a... | HuggingFaceTB/finemath | |
# Variation of Stem Radius in Response to Defoliation in Boreal Conifers Lorena Balducci, et al.
Dec 31, 2021
## Introduction
Insects outbreaks are considered a significant natural biotic disturbance in boreal forests. In Canada, forest areas affected by bark beetle and defoliators outbreaks have reached 16.6 M hect... | open-web-math/open-web-math | |
## What will we cover in this tutorial?
• Understand what the Mandelbrot set it and why it is so fascinating.
• Master how to make images in multiple colors of the Mandelbrot set.
• How to implement it using NumPy vectorization.
## Step 1: What is Mandelbrot?
Mandelbrot is a set of complex numbers for which the func... | HuggingFaceTB/finemath | |
## Calculus 8th Edition
$(a) f^{(n)}(x)=n!$ $(b)f^{(n)}(x)=(-1)^n\frac{n!}{x^{n+1}}$
$(a)$ $f(x)=x^n$. Differentiating with respect to $x$, $$f'(x)=nx^{n-1}$$Differentiating again, $$f''(x)=n(n-1)x^{n-2}$$Differentiating again, $$f'''(x)=n(n-1)(n-2)x^{n-3}$$From here we can see the pattern and suggest that, $$f^{(n)}(... | HuggingFaceTB/finemath | |
# Calculus/Product Rule
← Differentiation/Differentiation Defined Calculus Quotient Rule → Product Rule
When we wish to differentiate a more complicated expression such as:
${\displaystyle h(x)=(x^{2}+5x+7)\cdot (x^{3}+2x-4)}$
our only way (up to this point) to differentiate the expression is to expand it and get ... | HuggingFaceTB/finemath | |
### Permutation And Combination
Permutations and Combination, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called permutation when the order of selection is a factor, a combination when order is not a factor.
### Factorial:
... | HuggingFaceTB/finemath | |
Question:
Comprehension:
Study the table below about the number of students from various schools playing various games. Answer the following three questions.
Schools Games A B C D E Cricket 120 180 90 125 150 Basket ball 80 70 60 90 50 Football 40 65 55 70 35 Hockey 90 55 45 85 65 Badminton 50 40 60 50 30
The numb... | HuggingFaceTB/finemath | |
Exam Vidyamandir Intellect Quest Test [VIQ] Conducted By Vidyamandir Classes Eligibility Students of Class V, VI, VII, VIII, IX, X & XI Download Sample Paper 2023 Document Type PDF Official Website https://www.vidyamandir.com/nat-national-admission-test.html
## Vidyamandir Intellect Quest Test [VIQ] Sample Paper
VMC’... | HuggingFaceTB/finemath | |
1. ## Definate Integral help please
I have maple and have used other tools online to find the answer, but I don't know the steps taken to get to it, I have a feeling its some algebra tricks that I'm just not remembering, but onto the problem.
Its the integral of X/(sqrt(5+X)) from a=-1 to b=4, The indefinate integral... | HuggingFaceTB/finemath | |
# What is the germination rate of these saved lettuce seeds? Can you work out the probability of successful germination?
I planted 1 lettuce seed in each of these circular ‘cells’ 4 days ago.
Do you think they are growing well? Explain how you know.
Can you work out the fraction that have germinated?
Not all seeds ... | HuggingFaceTB/finemath | |
# 11838 (number)
11,838 (eleven thousand eight hundred thirty-eight) is an even five-digits composite number following 11837 and preceding 11839. In scientific notation, it is written as 1.1838 × 104. The sum of its digits is 21. It has a total of 3 prime factors and 8 positive divisors. There are 3,944 positive integ... | HuggingFaceTB/finemath | |
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# Program to find Nth term in the series 0, 0, 2, 1, 4, 2, 6, 3, 8,…
Given a number N. The task is to write a program to find the N-th term in the below series:
0, 0, 2, 1, 4, 2, 6, 3, 8, 4, 10, 5, 12, 6, 14, 7, 16, 8,…..
Examples
```Input : N = 10
Output : 4
Input : N = 7
Output... | HuggingFaceTB/finemath | |
Other
# Introduction, Measurement, Estimating
1. One lightyear is defined to be the distance light can travel in one year.
• What is this distance in meters?
• How long does it take for light to get to the Moon
2. Multiply 1.783 x 102 * 4.4 x 10-3, taking into account significant figures.
3. What is the surface area ... | HuggingFaceTB/finemath | |
# Algebra
posted by .
Use the quadratic formula to find the real solutions:
2x/x-3 + 2/x = 3
I know I multiply both sides by x(x-3), but I don't know how to do that.
• Algebra -
rewrite the equation as ...
[2x/(x-3)](x(x-3)) + [2/x](x(x-3)) = 3(x(x-3))
notice in the first term, x-3 on top cancels x-3 at the botto... | HuggingFaceTB/finemath | |
# Abhinav’s Reasoning Challenges for Bank PO Exams 2016 – 6 September, 2016
0
(0)
Hello and welcome to exampundit . So here is the Abhinav’s Reasoning Challenges for Bank PO Exams 2016.
The rules are same as the fighter’s puzzle challenges(which will come back).
Abhinav will conduct and help everyone along with S D... | HuggingFaceTB/finemath | |
# Random walks and diffusion limits
Imagine a long and narrow cylinder of radius r and a point particle that moves in the region bounded by the cylinder. The motion is specified as follows: starting at a point on the inner wall of the cylinder, choose at random a direction and let the particle move with constant speed... | open-web-math/open-web-math | |
## 27.16 Relative Proj as a functor
We place ourselves in Situation 27.15.1. So $S$ is a scheme and $\mathcal{A} = \bigoplus _{d \geq 0} \mathcal{A}_ d$ is a quasi-coherent graded $\mathcal{O}_ S$-algebra. In this section we relativize the construction of $\text{Proj}$ by constructing a functor which the relative homo... | open-web-math/open-web-math | |
# Explainer: Limits at Infinity and Unbounded Limits
In this explainer, we will learn how to evaluate limits of a function when tends to infinity and explore unbounded limits that tend to infinity as approaches a certain value.
By definition, we will say that , where is a real number provided that the values get as c... | HuggingFaceTB/finemath | |
A tragedy of statistics in most faculties is how dull it’s made. Teachers spend hours wading through derivations, equations, and theorems, and, once you finally get to the simplest part — applying concepts to actual numbers — it’s with irrelevant, unimaginative examples like rolling dice. Are often “> this is often a s... | HuggingFaceTB/finemath | |
## Intermediate Algebra (12th Edition)
$2t^{3}(5t^{2}-1-2t)$
The greatest common factor of $10t^{5}-2t^{3}-4t^{4}$ is $2t^{3}$. We can use the distributive property to factor out the greatest common factor. 1. $10t^{5}-2t^{3}-4t^{4}$ 2. $2t^{3}\times5t^{2}+2t^{3}\times-1+2t^{3}\times-2t$ 3. $2t^{3}(5t^{2}-1-2t)$ | HuggingFaceTB/finemath | |
, 28.10.2019 15:29 rhaineandreirefuerzo
# In a class of 40,the ratio of boys to girls is 3: 5.how many are girls how many are boys? ### Another question on Math Math, 28.10.2019 15:28
Supply a valid conclusion forthe given hypothesis on the first blank and the corresponding reason on the second blank. 9. if bp ⊥ ... | HuggingFaceTB/finemath | |
Question 31
# The value of $$\ \frac{\ \ \frac{\ 1}{2}divided\ by\ \frac{\ 1}{2}of\ \ \frac{\ 1}{2}}{\ \frac{\ 1}{2}+\ \frac{\ 1}{2}of\ \ \frac{\ 1}{2}}$$
Solution
Now first taking numerator
which $$\frac{1}{2}divided\ by\ \frac{1}{2\ }\ of\ \frac{1}{2}$$
so we get $$\frac{\frac{1}{2}}{\frac{1}{2}}\times\ \frac{1}{2... | HuggingFaceTB/finemath | |
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# Generate an N-length array with sum equal to twice the sum of its absolute difference with same-indexed elements of given array
• Last Updated : 07 Apr, 2021
Given an array arr[] of size N, the task is to construct an array brr[] of size N that satisfies the following conditions:
• In every pair ... | HuggingFaceTB/finemath | |
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# Understanding the Conversion: 87 Inches in Feet
When it comes to measurements, it is essential to have a clear understanding of different units and their conversions. One such conversion that often arises is the conversion of inches to feet. In this article, we will delve into the conversion of 87 inc... | HuggingFaceTB/finemath | |
# Quarter 2, Week 6: Nov. 18-22
Teacher Brooke Brackney Math and Science 4th 14 Problem Solving/Factors&Multiples/Properties of Matter/FL History
Standard(s) Taught
MATH: 4.OA.1.1 4.OA.1.2 4.OA.1.3 4.OA.1.a 4.OA.1.b 4.OA.2.4
• Solve multistep word problems posed with whole numbers and having whole-number an... | HuggingFaceTB/finemath | |
The concept for this blog was the synthesis of two elements:
1. Many conversations with the most incredible woman I know, and;
2. My passion as a math teacher, runner and lover of liberty.
Many elementary students, to some degree, are familiar with the Fundamental Theorem of Arithmetic. This is the theorem that state... | HuggingFaceTB/finemath | |
# How to calculate the difference between a 3.5 and a 4.0 score The formula for the difference is simple: a 3 is a 4, a 4 is a 3, and a 3 isn’t.
A 2.5 is a 2, a 3 a 3 and a 2 isn’t either.
This formula, however, is rarely used.
A 2 and a 1 are the same.
The most commonly used way to look at a 3 or 4 is to subtract ... | HuggingFaceTB/finemath | |
# Exercise ID327
Algebra → Logarithm → Logarithm equations
[Level: ] [Number of helps: 0] [Number of pictures: 0] [Number of steps: 17] [Number of characters: 0]
Evaluate the following expression:
${2}^{2{\mathrm{log}}_{10}\left(4x-1\right)}-{7}^{{\mathrm{log}}_{10}\left(4x\right)}={7}^{{\mathrm{log}}_{10}\left(4x-1... | HuggingFaceTB/finemath | |
# Can the the radius of convergence increase due to composition of two power series?
When composing power series, is the radius of convergence the minimum of that of the individual series, or is it like for multiplication and addition of power series where the resultant radius of convergence may be larger than for the... | HuggingFaceTB/finemath | |
Combinations of Random Variables
Sometimes, it is necessary to add or subtract random variables. When this occurs, it is useful to know the mean and variance of the result.
Recommendation: Read the sample problems at the end of the lesson. This lesson introduces some useful equations, and the sample problems show how... | HuggingFaceTB/finemath | |
# GATE (GA) Textile 2019 Question Paper Solution | GATE/2019/GA/07
###### Question 07 (General Aptitude)
Two pipes P and Q can fill a tank in 6 hours and 9 hours respectively, while a third pipe R can empty the tank in 12 hours. Initially, P and R open for 4 hours. Then P is closed and Q is opened. After 6 more hours... | HuggingFaceTB/finemath | |
In this HackerRank Accessory Collection problem solution we have given L, A, N, and D values for T shopping trips, find and print the maximum amount of money that Victoria can spend during each trip; if it's not possible for Victoria to make a purchase during a certain trip, print SAD instead. You must print your answe... | HuggingFaceTB/finemath | |
## Function that approximates some points better...
I have this points:
1; 2.58
3 ; 8.57
5 ; 15.00
10 ; 30.10
15 ; 45.00
I have to calculate the function that approximates them better.
I think it refers to a sort of trend line, but I don't know how it works with maple.
I tried with Excel, and and this is the result:... | HuggingFaceTB/finemath | |
### Document
```Chapter 4
Newton’s Second Law of Motion
A motorcycle undergoes
acceleration when
a. SF = 0.
b. a nonzero net force acts on it.
c. it is in equilibrium.
d. All of these.
A motorcycle undergoes
acceleration when
a. SF = 0.
b. a nonzero net force acts on it.
c. it is in equilibrium.
d. All of these.
When ... | HuggingFaceTB/finemath | |
# The way to Calculate DFFITS in R
In statistics, we frequently wish to understand how influential other observations are in regression fashions.
One solution to calculate the affect of observations is by means of the use of a metric referred to as DFFITS, which stands for “difference in fits.”
This metric tells us ... | HuggingFaceTB/finemath | |
### What is the design criteria of Fully Restrained (PR) Connection? Explain in details step by step procedure of a design of Fully Restrained (PR) Connection with required formula and an example of calculation.
In structural engineering, a fully restrained (FR) connection refers to a connection that provides complete... | HuggingFaceTB/finemath | |
Moiropa's theorem, case 1: line Ancient Lyle Militia passes inside triangle Autowahingo Autowahabies
Moiropa's theorem, named for Moiropa of Operator, is a proposition about triangles in plane geometry. Suppose we have a triangle Autowahingo Autowahabies, and a transversal line that crosses Goijeath Orb Prammployment ... | open-web-math/open-web-math | |
## Kiss those Math Headaches GOODBYE! ### “Hacks” for Slaying Proportions, Part 2: the Diagonal Trick
In the first “Slaying Proportions” post, you learned how to save time by canceling horizontally as well as vertically. In this post you’ll learn how to save even more time with another shortcut. Let’s look at an examp... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
Divide 8/4 with 2/63
1st number: 2 0/4, 2nd number: 2/63
8/4 ÷ 2/63 is 63/1.
Steps for dividing fractions
1. Find the reciprocal of the divisor
Reciprocal of 2/63: 63/2
2. Now, multiply it with the dividend
So, 8/4 ÷ 2/63 = 8/4 × 63/2
3. = 8 × 63/4 × 2 = 504/8
4. After reducing... | HuggingFaceTB/finemath | |
## Search This Blog
### 29december
Relation Problem
Two fathers and two sons went fishing. Each of them caught a fish, and none of them caught the same fish. However, they caught a total of only three fish. How is this possible?
1. Only 3 persons went for fighing..
Say, A(Grandfather), B(Son), C(Grandson)
A - fath... | HuggingFaceTB/finemath | |
# How can i find a slope???????
HELP FOR ALGEBRA TEST!!
The points are A(x1,y1) B(x2,y2) then
The slope m = y-coordinate diference / x-coordinate diference
Therfore slope m =(y2 - y1) / (x2 - x1)
The point is A(x,y) and y-intercept is C then
The slope-intercept form of a equation : y = mx + C then
The slope is x... | HuggingFaceTB/finemath | |
# How do you integrate int (3x)/sqrt((1-x^2))dx using trigonometric substitution?
Jan 24, 2016
You need to use the beautiful Pythagorean right triangle.
Here is the general antiderivative :
$- 3 \cdot \sqrt{1 - {x}^{2}}$
#### Explanation:
Here's a quick paint job to show you the lovely right triangle: You now need... | HuggingFaceTB/finemath | |
# Theoretical Probability Practice Problems
5 questions
### #1 of 5:Medium
Theoretical Probability
<p>David works at an automobile dealership. He is going to randomly select a key to a vehicle to test drive. There are `12` sedans, `18` hatchbacks, and `20` SUVs at the dealership. </p><p>What is the probability Davi... | HuggingFaceTB/finemath | |
+0
# Probability
0
6
1
+1335
A member of the junior varsity swim team will be elected as President. Each member is equally likely to be elected. The probability that a sophomore is elected is \$4\$ times the probability that a freshman is elected. Everyone on the junior varsity swim team is either a freshman or s... | HuggingFaceTB/finemath | |
New Foundations Explorer < Previous Next > Nearby theorems Mirrors > Home > NFE Home > Th. List > difindi GIF version
Theorem difindi 3509
Description: Distributive law for class difference. Theorem 40 of [Suppes] p. 29. (Contributed by NM, 17-Aug-2004.)
Assertion
Ref Expression
difindi (A (BC)) = ((A B) ∪ ... | HuggingFaceTB/finemath | |
# Question 52037
Oct 21, 2016
molar mass of $N {a}_{2} \left(C {O}_{3}\right)$ = 106 grams/mole
The number of moles = 0.50 moles
The concentration is 0.50 moles/dm cubed
#### Explanation:
The molar mass of Sodium Carbonate can be found by multiplying the number of each atom times its atomic mass and adding all the ... | HuggingFaceTB/finemath | |
# House edge & online gambling mathematics
We thought it might be interesting to gather some online gambling mathematics ideas and theories and collect them in one article. Thanks of course to Wiki which has billions of pages of random useful (and often non useful) information!
## Gambling mathematics
The mathematic... | HuggingFaceTB/finemath | |
# 6.07 Simple interest
Lesson
It costs money to borrow money. The extra money that banks and other lenders charge us to borrow money is called interest. Interest may also refer to the additional money that is earned from investing money, such as into a savings accounts. There are different types of interest and in th... | HuggingFaceTB/finemath | |
# Number 10155
Do you think you know everything about the number 10155? Here you can test your knowledge about this number, and find out if they are correct, or if you still had things to know about the number 10155. Do not know what can be useful to know the characteristics of the number 10155? Think about how man... | HuggingFaceTB/finemath | |
# User:Berni44/Floatingpoint
## An introduction to floating point numbers
You probably already know, that strange things can happen, when using floating point numbers.
An example:
```import std.stdio;
void main()
{
float a = 1000;
float b = 1/a;
float c = 1/b;
writeln("Is ",a," == ",c,"? ",a==c?"Yes!":"No!");
}
``... | HuggingFaceTB/finemath | |
# How to Calculate Vapor Pressure at a Given Temperature? ##### Joseph Hebert
Owner at - HVAC Buster
Joseph is an HVAC technician and a hobbyist blogger. He’s been working as an HVAC technician for almost 13 years, and he started blogging just...Read more
To calculate vapor pressure at a given temperature, you will n... | HuggingFaceTB/finemath | |
# Mathematics (NSTSE Class 2): Questions 73 - 81 of 814
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 1644 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.
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## Question nu... | HuggingFaceTB/finemath | |
# Number of Derangements of the word BOTTLE
I am wondering how to calculate the number of derangements for the word BOTTLE. I understand how to actually do the formula for derangements already. My issue is what do you do with repeated letters. Obviously, I will be over counting if I do the typical formula. Makes me th... | HuggingFaceTB/finemath | |
# How is tower crane lift capacity calculated?
Contents
It is the moment of the load lifted about the crane’s center. So moment = load * distance. A 300 tonne-meter limit can be inferred as a load of 10 tons being lifted at a distance of 30 meters from the center of the crane. So moment about the crane’s center is 10... | HuggingFaceTB/finemath | |
Home > Mean Square > Mean Squared Error Estimation
# Mean Squared Error Estimation
## Contents
The generalization of this idea to non-stationary cases gives rise to the Kalman filter. H., Principles and Procedures of Statistics with Special Reference to the Biological Sciences., McGraw Hill, 1960, page 288. ^ Mood, ... | HuggingFaceTB/finemath | |
# How many transitive relations are possible on a set with n elements?
## How many transitive relations are possible on a set with n elements?
There are 13 transitive relations on a set with 2 elements. This is easy to see. There are 16 relations in all. The only way a relation can fail to be transitive is to contain... | HuggingFaceTB/finemath | |
#### Start
2019-02-09 18:00 UTC
## UTD19s-2
#### End
2019-02-09 21:00 UTC
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# Problem IPascal's Hyper-Pyramids We programmers know and love Pascal’s triangle: an array of numbers with $1$ at the top and who... | HuggingFaceTB/finemath | |
# Question: What Are The Properties Of Fourier Series?
## Where is DFT used?
First, the DFT can calculate a signal’s frequency spectrum.
This is a direct examination of information encoded in the frequency, phase, and amplitude of the component sinusoids.
For example, human speech and hearing use signals with this... | HuggingFaceTB/finemath | |
# Plans and Maps
As stated in the definition of surveying, the objective of measurements is to show relative positions of various objects on paper. Such representations on paper are called plan or map.
A plan may be defined as the graphical representation of the features on, near or below the surface of the earth as ... | HuggingFaceTB/finemath | |
Subspaces of Vector Spaces
• Dec 11th 2013, 10:42 AM
turbozz
Subspaces of Vector Spaces
Let V be some vector space and S be a subset.
a. V=T(3,3) and S is the set of invertible linear transformations.
I know the V represents all linear transformations from R^3 -> R^3, and all linear transformations in S must be inve... | HuggingFaceTB/finemath | |
# How do you write 41,000,000 in scientific notation?
Jun 18, 2016
$4.1 \cdot {10}^{7}$
#### Explanation:
$41 \cdot {10}^{6}$
$= 4.1 \cdot {10}^{7}$
Jun 18, 2016
$4.1 \times {10}^{7}$
#### Explanation:
Multiply a number by 1 and you do not change its value. The thing is; 1 comes in many forms:
$3 - 2 \text{; "... | HuggingFaceTB/finemath | |
Functions and Types of Functions
Functions
Function is a special type of relation.
Definition:-
A relation 'f' is said to be a function, if every element of a non-empty set X, has only one image or range to a non-empty set Y. Or. If 'f' is the function from X to Y and (x,y) f, then f(x) = y, where y is the image of... | HuggingFaceTB/finemath | |
# Lesson 8
Scale Drawings and Maps
## 8.1: A Train and a Car (5 minutes)
### Warm-up
This warm-up serves two purposes. It refreshes the concept of distance, rate, and time of travel from grade 6, preparing students to use scale drawings to solve speed-related problems. It also allows students to estimate decimal ca... | HuggingFaceTB/finemath | |
## request for proof review: minimum angle to point in a line segment
Hi,
Not sure if maybe this belongs in the geometry forum, but I'm using the methods of linear algebra, so here it is.
Anyway, I have a problem I need to solve for a piece of software I'm writing, and I think I've got it but it would be great if so... | HuggingFaceTB/finemath | |
## Question about the Two-Body systems
Two blocks of identical material are connected by a light rope on a level surface. An applied force of 55N [right] causes the blocks to accelerate. While in motion, the magnitude of the force friction on the block is 44.1 N. Calculate the acceleration of the blocks.
20 kg|------... | HuggingFaceTB/finemath | |
XP Math - Forums - View Single Post - ALGEBRA ?s plz last few i need?
View Single Post
08-04-2007 #2 bignose68 Guest Posts: n/a 16) -2x+3y=4 3y=4+2xmake a table of x and y values and plot these on graph paper for example: if x=0 y =4/3 if x=1 y=2 if x=2 y=8/3 etc etc etc17)3x+4y+2x-5y-5x-3y = -4y21) Associative Pro... | HuggingFaceTB/finemath | |
# 84.92 kg to lbs - 84.92 kilograms to pounds
Do you need to know how much is 84.92 kg equal to lbs and how to convert 84.92 kg to lbs? Here you go. You will find in this article everything you need to make kilogram to pound conversion - both theoretical and practical. It is also needed/We also want to point out that ... | HuggingFaceTB/finemath | |
## Saturday, December 12, 2009
### Stratified sampling: why and how?
In surveys and polls it is common to use stratified sampling. Stratified sampling is also used in data mining, when drawing a sample from a database (for the purpose of model building). This post follows an active discussion about stratification tha... | HuggingFaceTB/finemath | |
# math
posted by .
a student is painting one wall of a room. a square window is located in the middle of the wall to be painted. the window measures 3 feet on one side. the area of the wall, not including the window, is 80ft squared. find the height of the wall to the nearest tenth.
• math -
area of whole wall = 80... | HuggingFaceTB/finemath |
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