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Calculus
# Basic Properties of Integrals
If $\int_0^1 f(x) \, dx = 4$, what is the value of
$\int_0^1 2 f(x) \, dx ?$
If $\int_0^1 f(x) \, dx = 2$ and $\int_0^1 g(x) \, dx = 6$, what is the value of
$\int_0^1 \left( 6 f(x) + 2 g(x) \right) \, dx ?$
If $\int_0 ^ {4} f(x) \, dx = 3$, what is the value of
$\int_0^... | HuggingFaceTB/finemath | |
CSE_548-AnalysisOfAlgorithm-fall2010
# CSE_548-AnalysisOfAlgorithm-fall2010 - Michael A. Bender...
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Michael A. Bender CSE 548 – Analysis of Algorithms, Fall 2010 Assignment #1 Tuesday, October 5, 2010 Problem 1 For the following C codes, find the time-com... | HuggingFaceTB/finemath | |
# Find points on the x-axis, each of which is at a distance of 10 units from the point A
Question:
Find points on the x-axis, each of which is at a distance of 10 units from the point A(11, −8).
Solution:
Let P (x, 0) be the point on the x-axis. Then as per the question, we have
$A P=10$
$\Rightarrow \sqrt{(x-11)... | HuggingFaceTB/finemath | |
# Harmonic motion - Find the Mass held between two Springs
• JoeyBob
If ##\omega=\sqrt {\frac k m}##the value of that term ##k## must be equal to the ##k## of a system of two springs working in series.Therefore, ##k=k_1+k_2=m\omega^2##f
#### JoeyBob
Homework Statement
See attached
Relevant Equations
E=1/2kA^2=1/2m(w... | HuggingFaceTB/finemath | |
Expansions ICSE Class-9th Concise Selina Mathematics Solutions (Including Substitution) Chapter-4. We provide step by step Solutions of Exercise / lesson-4 Expansions (Including Substitution) for ICSE Class-9 Concise Selina Mathematics by RK Bansal.
Our Solutions contain all type Questions with Exe-4 A, Exe-4 B, Exe-4... | HuggingFaceTB/finemath | |
# kinematic equations derivation
Derivation of Kinetic Equations As we said, the mathematical object that we consider in Kinetic Theory is the distribution function 0 f(t,x,v). 4. Similarly, the total displacement of the object in Fig. 1 0 obj • Such a mathematical singularity problem can be avoided by selecting a dif... | HuggingFaceTB/finemath | |
# Question of the day-Logical Reasoning
2019-06-18 | Team PendulumEdu
Q. The numbers in the blocks given below follows a certain pattern. Study the pattern and choose the number which will replace the question mark? A. 23
B. 15
C. 13
D. 16
Solution
Observing the numbers in the first block we get the pattern as
... | HuggingFaceTB/finemath | |
144/k=9
I don't understand how to do this using reciprocals, how my teacher wants me to solve the problem.
Note: The fraction bar is in my paper, so it's 144 being the numerator, k being the denominator, and then =9 if that makes any sense.
1. 👍
2. 👎
3. 👁
1. Multiply both sides of the equation by k.
144 = 9k
16 =... | HuggingFaceTB/finemath | |
# Math Help - congruent mod 9
1. ## congruent mod 9
question
Prove that every integer is congruent mod 9 to the sum of its digits.
Thank you very much.
2. Originally Posted by Jenny20
question
Prove that every integer is congruent mod 9 to the sum of its digits.
Thank you very much.
There is a useful theorem.
$... | open-web-math/open-web-math | |
# Search by Topic
#### Resources tagged with Working systematically similar to Factoring a Million:
Filter by: Content type:
Stage:
Challenge level:
### There are 129 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
### Latin Squares
##### Stage: 3, 4 and 5
A Latin ... | HuggingFaceTB/finemath | |
# Linear equations, solution sets and inner products
## Homework Statement
Let W be the subspace of R4 such that W is the solution set to the following system of equations:
x1-4x2+2x3-x4=0
3x1-13x2+7x3-2x4=0
Let U be subspace of R4 such that U is the set of vectors in R4 such the inner product <u,w>=0 for every w i... | open-web-math/open-web-math | |
## Geometric Distribution
### Overview
The geometric distribution is a one-parameter family of curves that models the number of failures before one success in a series of independent trials, where each trial results in either success or failure, and the probability of success in any individual trial is constant. For ... | HuggingFaceTB/finemath | |
# Area of a Triangle
## Formula
Area of triangle = (1/2) × "base" × "height" = 1/2 × b × h.
# Area of a triangle:
To get the area of the triangle, we first choose one of the sides to be the base (b). Then we draw a perpendicular line segment from a vertex of the triangle to the base. This is the height (h) of the t... | HuggingFaceTB/finemath | |
# Four swords
Obelix has three helmets, four swords and five shields. How many swords must make at the blacksmith forge Metallurgix to be able to walk another 90 days in unique armor?
Result
n = 2
#### Solution:
3*(4+n)*5=90
15n = 30
n = 2
Calculated by our simple equation calculator.
Leave us a comment of ex... | HuggingFaceTB/finemath | |
# Writing the Equation of Hyperbolas
Remember the two patterns for hyperbolas:
We can write the equation of a hyperbola by following these steps:
1. Identify the center point (h, k)
2. Identify a and c
3. Use the formula c2 = a2 + b2 to find b (or b2)
4. Plug h, k, a, and b into the correct pattern.
5. Simplify
Som... | HuggingFaceTB/finemath | |
Try the fastest way to create flashcards
Question
Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if possible.Through $(1,6)$, perpendicular to $3 x+5 y=1$
Solution
Verified
Step 1
1 of 3
Two lines are perpendicular if their slope are negative reciprocal. Change the ... | HuggingFaceTB/finemath | |
# The term, that should be added to (4$x^2$ + 8x) so that resulting expression be a perfect square, is
[ A ] 2x [ B ] 2 [ C ] 1 [ D ] 4 Answer : Option D Explanation : 4$x^2$ + 8x = ($2x^2$) + 2 × 2x× 2 = $(2x+ 2)^2$– 4 So, we have to add up 4 to make it a perfect square | HuggingFaceTB/finemath | |
How Much Ice Cream Is In A Tub?
How many gallons of ice cream are contained within a tub?
• In a 3 gallon container of ice cream, there are 96 scoops of ice cream. However, you may wish to reduce that amount by a scoop to account for any ice cream that was lost during sampling and serving. In order to calculate using... | HuggingFaceTB/finemath | |
55 percent of 4956?
What is % of
Percentage Calculator 2
is what percent of ?
is % of what?
Solution for 'What is 55% of 4956?'
In all the following examples consider that:
• The percentage figure is represented by X%
• The whole amount is represented by W
• The portion amount or part is represented by P
Soluti... | HuggingFaceTB/finemath | |
GMAT Integrated Reasoning: Time Management
Written by Kelly Granson. Posted in GMAT Study Guide
Most test takers could answer any GMAT question correctly if the time were not limited. It is this time limit that makes the test hard by putting extra pressure and forcing you to seek shortcuts and the most efficient s... | HuggingFaceTB/finemath | |
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Bookmark it
{[ promptMessage ]}
chapter 1 13
# chapter 1 13 - SECTIONLZ MATHEMATICALMODELS El 13 14(a...
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Unformatted text preview: SECTIONLZ MATHEMATICALMOD... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A020883 Ordered long legs of primitive Pythagorean triangles. 44
4, 12, 15, 21, 24, 35, 40, 45, 55, 56, 60, 63, 72, 77, 80, 84, 91, 99... | HuggingFaceTB/finemath | |
AP State Syllabus AP Board 9th Class Physical Science Important Questions Chapter 1 Motion.
AP State Syllabus 9th Class Physical Science Important Questions 1st Lesson Motion
9th Class Physical Science 1st Lesson Motion 1 Mark Important Questions and Answers
Question 1.
From the above data, what can you say about t... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
Add 1/49 and 40/90
1/49 + 40/90 is 205/441.
Steps for adding fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 49 and 90 is 4410
2. For the 1st fraction, since 49 × 90 = 4410,
1/49 = 1 × 90/49 × 90 = 90/4410
3. Likewise, for the 2nd fraction, ... | HuggingFaceTB/finemath | |
Is this the correct area of this triangle?
• Jul 6th 2009, 12:37 AM
olivia59
Is this the correct area of this triangle?
TRIANGLE: http://img172.imageshack.us/img172/1344/trig.jpg
I worked out that it would be 127 cm2
• Jul 6th 2009, 12:41 AM
Prove It
Quote:
Originally Posted by olivia59
TRIANGLE: http://img172.image... | HuggingFaceTB/finemath | |
Chapter 31 Radioactivity and Nuclear Physics
# 31.5 Half-Life and Activity
### Summary
• Define half-life.
• Define dating.
• Calculate age of old objects by radioactive dating.
Unstable nuclei decay. However, some nuclides decay faster than others. For example, radium and polonium, discovered by the Curies, decay ... | HuggingFaceTB/finemath | |
# Decision Tree Algorithm in Machine Learning
The decision Tree algorithm is a supervised Machine Learning algorithm used for both classification and regression problems. It is based on a sequential decision process. If you want to know everything about the Decision Tree algorithm, this article is for you. This articl... | HuggingFaceTB/finemath | |
# Math 251 Chapter 14 Sample Exam Problems May 3, 2011 ```Math 251
Chapter 14 Sample Exam Problems
May 3, 2011
1. Let f (x, y, z) = z sin(xy). Find div(∇f ).
(A) z(x + y) cos(xy) + sin(xy)
(B) −z(x2 + y 2 ) sin(xy)
(C) hyz cos(xy), xz cos(xy), sin(xy)i
(D) h−y 2 z sin(xy), −x2 z sin(xy), 0i
(E) 0
2. Z
Let C be the curv... | HuggingFaceTB/finemath | |
# Thread: Find the minimal polynomial for a = π^2 over Q(π^3)
1. ## Find the minimal polynomial for a = π^2 over Q(π^3)
If it were in Q then the polynomial would be p(x) = x - π^2, but I don't know if being over Q(π^3) changes that. I think that when you compare the fields you get degree 1, but again, I'm not complet... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A306214 Numbers that are the sum of fourth powers of three distinct positive integers in arithmetic progression. 3
98, 353, 707, 962, 1568, 2177, 2658, 3107, 4322, 4737, 5648, 7187, 7793... | HuggingFaceTB/finemath | |
# What is the difference between pressure in water droplet and that in an air bubble?
The question is at least supposed to be simple but yeah, I need some detailed answers. I have tried thinking about it in the lines of surface tension but it seems what is required of me is more than that so if anyone has faced a simi... | HuggingFaceTB/finemath | |
Multiplication of Fractions
Chapter 2 Class 7 Fractions and Decimals
Concept wise
Let’s do this by examples.
2/3 × 4
= (2 × 4)/3
= 8/3
9 / 8 × 2
= (9 × 2)/8
= 9/4
2/3 × 5/4
= (2 × 5)/(3 × 5)
= 10/12
4 × 3 2 / 7
= 4 × (3+2/7)
= 4 × ((3 × 7 + 2)/7)
= 4 × ((21 + 2)/7)
= 4 × 23/7
= (23 × 4)/7
= 92/7 7/2 ×... | HuggingFaceTB/finemath | |
# Thermodynamics: Control Volume analysis using energy
## Homework Statement
Steam flows through an uninsulated pipe at 0.5 kg/s, entering at 5 bar, 440 C and exiting at 3 bar, 320 C. How much energy is lost from the steam per hour?
## Homework Equations
Which terms in the energy eqn can drop out? I'm having troubl... | HuggingFaceTB/finemath | |
# methods of constructing a matrix from its null space span
I have a matrix of size $4\times3$ and its null-space span is $\{(1,2,3), (2,5,7)\}$.
How can I find the original matrix? It is not obvious from the span which vectors are free.
• Perhaps this is what you yourself are noting in the last sentence, but the nu... | HuggingFaceTB/finemath | |
#### Explain Solution R.D. Sharma Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise Question 27 Maths Textbook Solution.
$\frac{1}{2 \sqrt{2}} \log \left|\frac{\sqrt{2} \cos x+1}{\sqrt{2} \cos x-1}\right|+c$
Given:
$\int \frac{\sin x}{\cos 2 x} d x$
Hint:
To solve the equation we will use substi... | HuggingFaceTB/finemath | |
# Numerically solving $\nabla u(x,y) = f(x,y,u)$ on a rectangular domain having initial value of $u$ at some point
Problem description: I want to numerically solve system of two time-independent partial differential equations (pde) of the following simple form
$$\frac{\partial u(x,y)}{\partial x} = f_1(x,y,u),$$
$$\... | HuggingFaceTB/finemath | |
# families of curves --- help!
• Nov 20th 2007, 01:17 PM
Paige05
families of curves --- help!
heres the question:
find a formula for a function of the form y = (ax^b)(lnx) where a and b are nonzero constants, which has a local maximum at the point (e^2,6e^-1)
i tried to create 2 equations and set and solve for the v... | HuggingFaceTB/finemath | |
# Quantitative Aptitude Questions for IBPS PO Mains Exam Set – 38
Hello Aspirants. Welcome to Online Quantitative Aptitude section in AffairsCloud.com. Here we are creating question sample From all topics , which are Important for upcoming IBPS exams. We have included Some questions that are repeatedly asked in exams.... | HuggingFaceTB/finemath | |
## Introduction
$$S=\frac{1}{2}$$ antiferromagnetic systems with triangular structures are in the focus of modern quantum physics, in particular, in connection with Anderson’s idea of "resonating valence bond” states in frustrated spin systems1. He proposed that the corresponding ground state can be a two-dimensional ... | open-web-math/open-web-math | |
Cody
# Problem 392. Clock Hand Angle 1
Solution 594942
Submitted on 11 Mar 2015 by goc3
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
%% assert(abs(handAngle('12:00:00')-0) < 1e-9)
s = '12' '00'... | HuggingFaceTB/finemath | |
# Which of the following statements is applicable for a three-phase AC circuit for a star connection?
This question was previously asked in
UPPCL JE Previous Paper 2 (Held ON: 27 August 2018 Shift 2)
View all UPPCL JE Papers >
1. Line voltage is √3 times the phase voltage and the phase current is equal to the line cur... | HuggingFaceTB/finemath | |
# sagemath fails to solve an equation and inequation
I do not understand why
var('R','p','x')
sol1=solve(R^(1/3)*p == x^(1/3),x)
show(sol1)
this work but this fails to isolate $x$
var('R','p','x')
sol1=solve(R^(1/3)*p <= x^(1/3),x)
show(sol1)
And that
var('R','p','x')
sol2=solve(0 == (R-x)^(1/3)*p + (1-p)* (-x)... | HuggingFaceTB/finemath | |
## Numeracy Skills Test Practice
FreeFree Numeracy Skills Test Practice to pass Numeracy Skills Test Practice Paper. For Literacy and Numeracy Skills Tests you must go through real exam. For that we provide Numeracy Practice Test real test. We discuss in these mock QTS Maths Practice Questions from different mathemati... | HuggingFaceTB/finemath | |
Prove: if $a,b\in G$ commute with probability $>5/8$, then $G$ is abelian
Suppose that $G$ is a finite group. If $P( ab=ba ) >5/8$, prove $G$ is abelian.
• Do you have any more information on the probability $P$? For example, what is the sample space and $\sigma$-algebra on which $P$ is defined? – Tom Jun 24 '14 at 1... | open-web-math/open-web-math | |
1. You might want to retry asking the question. It is unclear, and seems incomplete.
However, when you're dealing with 3 sets, the following formulae might come in handy.
n (A U B U C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(A ∩ C) - n(B ∩ C) + n(A ∩ B ∩ C)
n(U) = n (A U B U C) + n (A U B U C)c
where, A, B and C are th... | HuggingFaceTB/finemath | |
# Three-gap theorem
Last updated
In mathematics, the three-gap theorem, three-distance theorem, or Steinhaus conjecture states that if one places n points on a circle, at angles of θ, 2θ, 3θ, ... from the starting point, then there will be at most three distinct distances between pairs of points in adjacent positions... | HuggingFaceTB/finemath | |
#### 期刊菜单
Three Gradient-Based Optimization Methods and Their Comparison
1. 引言
2. 预备知识
$\mathrm{min}L\left(x\right)$ (2.1)
$L\left({x}^{*}\right)\le L\left(x\right)$$\forall x\in {R}^{n}$
$L\left({x}^{*}\right)\le L\left(x\right)$$\forall x\in N$
$L\left({x}^{*}\right)$\forall x\in N$
$\nabla L\left({x}^{*}\rig... | HuggingFaceTB/finemath | |
# Defining the Earth in Numbers
The Earth is a fascinating planet with a complex structure and a variety of features. One of the most interesting aspects of the Earth is its size, and in particular, how wide it is. The width of the Earth varies depending on the measurement being used, but there are a few key numbers t... | HuggingFaceTB/finemath | |
# Solved – Examples of when confidence interval and credible interval coincide
In the wikipedia article on Credible Interval, it says:
For the case of a single parameter and
data that can be summarised in a
single sufficient statistic, it can be
shown that the credible interval and
the confidence interval will coinci... | HuggingFaceTB/finemath | |
## Friday, October 26, 2012 ... /////
### The holographic principle
The newest episode of The Big Bang Theory that was aired last night was called "The Holographic Excitation" (S06E05).
It's pretty cool that a TV sitcom manages not only to show a hologram but Leonard Hofstadter was even allowed to present a rather a... | open-web-math/open-web-math | |
# Convert MM to Inches Formula – Examples, FAQs, How to Convert
Home » Math Vocabulary » Convert MM to Inches Formula – Examples, FAQs, How to Convert
## What Is the mm to Inches Formula?
The mm to inches conversion formula is based on the fact that there are 25.4 millimeters in an inch. Simply divide the number of ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Multiply 3/75 with 30/7
1st number: 3/75, 2nd number: 4 2/7
This multiplication involving fractions can also be rephrased as "What is 3/75 of 4 2/7?"
3/75 × 30/7 is 6/35.
#### Steps for multiplying fractions
1. Simply multiply the numerators and denominators separately:
2. ... | HuggingFaceTB/finemath | |
# How do you find sin 2θ, given cos θ = 5/13 and θ lies in Quadrant IV?
Nov 18, 2015
Find sin 2x, knowing $\cos x = \frac{5}{13}$
Ans: $- \frac{120}{169}$
#### Explanation:
$\cos x = \frac{5}{13.}$ Find sin x.
${\sin}^{2} x = 1 - {\cos}^{2} x = 1 - \frac{25}{169} = \frac{144}{169}$ --> $\sin x = \pm \frac{12}{13}$... | HuggingFaceTB/finemath | |
# $Y = \frac{X_1 X_2}{X_3}$ where $X_i$ is a uniform random variable
$$Y = \frac{X_1 X_2}{X_3}$$ where $$X_i\sim U(0,1)$$ and $$X_1,X_2,X_3$$ are i.i.d
I need to calculate $$Var(Y)$$ and $$Var[Y|X_3=1.7]$$
I know that for each $$X_i$$,
$$E[X_i]=\frac{1}{2}$$
$$Var[X_i]=\frac{1}{12}$$
But I'm not shure how to proc... | HuggingFaceTB/finemath | |
# Coprime
Coprime
In number theory, a branch of mathematics, two integers a and b are said to be coprime (also spelled co-prime) or relatively prime if the only positive integer that evenly divides both of them is 1. This is the same thing as their greatest common divisor being 1.[1] In addition to $\gcd(a, b) = 1\;$... | open-web-math/open-web-math | |
# Rationalisation (mathematics)
(Redirected from Rationalization (mathematics))
Jump to: navigation, search
For other uses, see Rationalization.
In elementary algebra, root rationalisation is a process by which surds in the denominator of an irrational fraction are eliminated.
These surds may be monomials or binomia... | HuggingFaceTB/finemath | |
# Negative Variance
Six Sigma – iSixSigma Forums Old Forums General Negative Variance
Viewing 3 posts - 1 through 3 (of 3 total)
• Author
Posts
• #44636
What is the operational definition of negative variance?
0
#143441
Jim,
There is no operational definition of a variance component that is negative. This is just ... | HuggingFaceTB/finemath | |
Chemistry Practice Problems Mass Defect Practice Problems Solution: Which of the following nuclei is likely to have th...
# Solution: Which of the following nuclei is likely to have the largest mass defect per nucleon: 11B, 51V, 118Sn, 243Cm?
###### Problem
Which of the following nuclei is likely to have the largest... | open-web-math/open-web-math | |
Converting Fractions into Decimals and Percentages
Hello and welcome to this video about converting fractions to decimals and percents! In this video, we will explore:
Before we get started, let’s review a couple of key concepts that we will use to help the math make sense.
Consider the fraction $$\frac{10}{10}$$. O... | HuggingFaceTB/finemath | |
# 1971 AHSME Problems/Problem 26
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
$[asy] size(2.5inch); pair A, B, C, E, F, G; A = (0,3); B = (-1,0); C = (3,0); E = (0,0); F = (1,2); G = intersectionpoint(B--F,A--E); draw(A--B--C--cycle); draw(A--E); draw(B--F); label("A",A,N); l... | HuggingFaceTB/finemath | |
# Thread: Proof of permutation in sequential sets, also question on opposite ability...
1. ## Proof of permutation in sequential sets, also question on opposite ability...
I have two things here. First, I was looking for a way to arrive at a set of increasing numbers, like a permutation, where the set never runs into... | HuggingFaceTB/finemath | |
# Question on Radon Nikodym Theorem
Let $\mu,\lambda$ and $\nu$ be $\sigma$-finite measures on $(X,M)$ such the $\nu\ll \mu$. Let $\mu= \nu + \lambda$. Then if $f$ is the Radon-Nikodym derivate of $\nu$ wrt $\mu$, we have $0\leq f\lt 1~\mu$-a.e. where $f = \frac{d\nu}{d\mu}$.
Approach.
Suppose to the contrary that $... | HuggingFaceTB/finemath | |
# Find the area of a circle assuming n equal to 22/7 if its radius R = 7cm.
Given a circle, the radius of which is R = 7 cm. It is necessary to calculate its area.
The area of the circle (Skr) is calculated by the formula:
Scr = n * R ^ 2, where n is a mathematical constant – the number “pi”.
We calculate the area ... | HuggingFaceTB/finemath | |
# Proving theorems and special cases (Part 15): The Mean Value Theorem
In a recent class with my future secondary math teachers, we had a fascinating discussion concerning how a teacher should respond to the following question from a student:
Is it ever possible to prove a statement or theorem by proving a special ca... | HuggingFaceTB/finemath | |
# Make x The Subject
Here we will learn about making x the subject of an equation or a formula.
There are also rearranging equations worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.
## What does it mean to make x the subject?
Making x th... | HuggingFaceTB/finemath | |
# SAT Mathematics: Percentage
This is an MCQ-quiz for SAT Mathematics, which include questions on Percentage.
Start Quiz
Write as a fraction: 22%
4/9 11/100 2/3 11/50 4/7
25% of 64 is equal to 5% of what number?
94 90 320 112 108
When y is decreased by ten percent, the result is equal to fifteen percent of x. As... | HuggingFaceTB/finemath | |
Motion
1 / 50
# Motion - PowerPoint PPT Presentation
##### Motion
An Image/Link below is provided (as is) to download presentation
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent ... | HuggingFaceTB/finemath | |
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!
#### Online Quiz (WorksheetABCD)
Questions Per Quiz = 2 4 6 8 10
### MEAP Preparation - Grade 7 Mathematics1.149 Exponents - 2
Real life applications of exponents: Exponents are often used in the formulas for area and... | HuggingFaceTB/finemath | |
# Evaluate :$$\frac{50!}{48!}$$
This question was previously asked in
MPPEB Stenographer 15 Sept 2018 Shift 1 Official Paper
View all MP Vyapam Group 2 Papers >
1. 2430
2. 2440
3. 2420
4. 2450
Option 4 : 2450
## Detailed Solution
Formula:
⇒ n! = n × (n - 1) × ......× 1
Calculation:
⇒ 50! = 50 × 49 × 48!
Then,
... | HuggingFaceTB/finemath | |
# 2021 HSC Maths Ext 2 Exam Paper Solutions
The 2021 HSC Maths Extension 2 Exam Paper solutions are here! Read on to see the full worked solutions written by our Head of Mathematics, Oak Ukrit and his team.
The wait is over. You can now see how you went with the 2021 HSC Maths Extension 2 Exam Paper!
## 2021 HSC Mat... | HuggingFaceTB/finemath | |
# Question: What Are The Factors That Affect Kinetic Energy?
## What is the relationship between kinetic and speed?
This equation reveals that the kinetic energy of an object is directly proportional to the square of its speed.
That means that for a twofold increase in speed, the kinetic energy will increase by a fa... | HuggingFaceTB/finemath | |
Description
Farmer John has built a new long barn, with N (2
His C (2
Input
• Line 1: Two space-separated integers: N and C
• Lines 2..N+1: Line i+1 contains an integer stall location, xi
Output
• Line 1: One integer: the largest minimum distance
Sample Input
5 3
1
2
8
4
9
Sample Output
3
Hint
OUTPUT DETAI... | HuggingFaceTB/finemath | |
The picture shows an egg form constructed mathematically. The spirals are characteristic of the mathematics and are known as PATH CURVES. They were discovered by Felix Klein in the 19th Century, and are very simple and fundamental mathematically speaking. Geometry studies transformations of space, and these curves aris... | HuggingFaceTB/finemath | |
## 3379
3,379 (three thousand three hundred seventy-nine) is an odd four-digits composite number following 3378 and preceding 3380. In scientific notation, it is written as 3.379 × 103. The sum of its digits is 22. It has a total of 2 prime factors and 4 positive divisors. There are 3,240 positive integers (up to 3379... | HuggingFaceTB/finemath | |
# Pressure Loss and Equivalent Circulating Density Review
This example that I got from my junior member is very simple but it helps you a lot to understand about how to determine pressure loss during normal circulation.
Information given is listed below; Circulate at 3 bottom up through open end tubing (Down tubing a... | HuggingFaceTB/finemath | |
Descriptive Statistics
# 7 Display Data
### Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs
One simple graph, the stem-and-leaf graph or stemplot, comes from the field of exploratory data analysis. It is a good choice when the data sets are small. To create the plot, divide each observation of data int... | HuggingFaceTB/finemath | |
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#### Resources tagged with Generalising similar to Counting Triangles:
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### Chess
##### Age 11 to 14 Challenge Level:
What would be the smallest number of moves needed to move a Knight from a chess set from one corner to the opposite corner of a... | HuggingFaceTB/finemath | |
# Figure 7.3
## GUIDE: Mathematics of the Discrete Fourier Transform (DFT) - Julius O. Smith III. Figure 7.3
It appears that you are using AdBlocking software. The cost of running this website is covered by advertisements. If you like it please feel free to a small amount of money to secure the future of this website... | HuggingFaceTB/finemath | |
Convert to a + ib form
Chapter 4 Class 11 Complex Numbers
Concept wise
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Transcript
Example 4 Express ( (3 ) "+ " ( 2) ) (2 3 ) in the form of a + ib ( 3 "+ " ( 2) ) (2 3 ) = ( 3 " + " ( 1 2) ) (2 3 ) = (" " 3 " + " ( 1 ) (2 ) ) (2 3 ) = ( 3 ... | HuggingFaceTB/finemath | |
# 1710119 (number)
1,710,119 (one million seven hundred ten thousand one hundred nineteen) is an odd seven-digits composite number following 1710118 and preceding 1710120. In scientific notation, it is written as 1.710119 × 106. The sum of its digits is 20. It has a total of 2 prime factors and 4 positive divisors. Th... | HuggingFaceTB/finemath | |
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# Simple Interest Questions Worksheet (CAT, SSC, Bank, Competitive) Exams(function() { var po = document.createElement('script'); po.type = 'text/javascript'; po.async = true; po.src = 'https://apis.google.com/js/plusone.js'; var s = doc... | HuggingFaceTB/finemath | |
# Cube 5
The content area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface and volume.
Correct result:
a = 5.657 cm
S = 192 cm2
V = 181.024 cm3
#### Solution:
$S_{1}=32 \ \\ a=\sqrt{ S_{1} }=\sqrt{ 32 }=4 \ \sqrt{ 2 }=5.657 \ \text{cm}$
Our examples were largely sent or... | open-web-math/open-web-math | |
# Free Rational Numbers 02 Practice Test - 7th grade
38 to get 516?
A.
1216
B.
1316
C.
1116
D.
1416
#### SOLUTION
Solution : C
Let the number to be added be x.
38+x=516
x=516+38=516+616=1116
In the given fig. locate the position where the ball lies on the number line.
A.
15
B.
25
C.
35
D.
45
##... | HuggingFaceTB/finemath | |
Frozen Seafood Mix Recipes South Africa, Virtual Network Security, Stone Island 9-burner Grill, Battered Calamari Calories, Medical Spa Decor, New Frontier Armory 9mm Upper, Trained Goldendoodles For Sale, Ashley Zukerman Movies And Tv Shows, …" /> Frozen Seafood Mix Recipes South Africa, Virtual Network Security, Ston... | open-web-math/open-web-math | |
# simplify 6 : 2
#### Understand the Problem
The question is asking to simplify the ratio of 6 to 2, which involves reducing it to its simplest form.
#### Answer
3:1
##### Answer for screen readers
The final answer is 3:1
#### Steps to Solve
1. Find the greatest common divisor (GCD) of the numbers
To simplify t... | HuggingFaceTB/finemath | |
# Show that if $f$ is an elementary map then structures are elementarily equivalent in extended language
Let $$\mathcal{A}, \mathcal{B}$$ be $$\mathcal{L}$$-structures, and let $$S\subseteq A$$. I want to show that $$f:S\to B$$ is an elementary mapping if and only if $$(\mathcal{A},a)_{a\in S}\equiv(\mathcal{B},f(a))_... | HuggingFaceTB/finemath | |
+0
# Help Plz
0
204
1
What is the intermediate step in the form (x+a)^2=b(x+a)2=b as a result of completing the square for the following equation?
2x^2+42x+260=6x
You answer should look like this:
(___)^2=__
Feb 10, 2021
#1
+120127
+1
2x^2 + 42x + 260 = 6x
2x^2 + 42x - 6x + 260 = 0
2x^2 + 36x... | HuggingFaceTB/finemath | |
Kelly Criterion for Options GT
```1
Kelly’s Criterion for Option Investment
Ron Shonkwiler (shonkwiler@math.gatech.edu)
1
Kelly’s Criterion for Option Investment
Ron Shonkwiler (shonkwiler@math.gatech.edu)
Outline:
• Review Kelly’s Problem
• Application to Option Investing
• Option Investing with Catastrophic Loss
• J... | HuggingFaceTB/finemath | |
Home > Mean Square > Minimum Mean Square Error Estimate
# Minimum Mean Square Error Estimate
## Contents
ChenJing LiPei XiaoRead moreConference PaperOn the Error Propagation of the Fast Time Varying Channel Tracking for MIMO SystemsOctober 2016Bingpeng ZhouQ. Of course, no matter which algorithm (statistic-based or ... | HuggingFaceTB/finemath | |
/************************************************************ * This program calculates the determinant of a real square * * matrix using a recursive function Deter based on Kramer's * * formula. * * --------------------------------------------------------- * * Method: * * * * Let us take the example: * * n=5 * * Input... | HuggingFaceTB/finemath | |
# Difference between revisions of "Simon's Favorite Factoring Trick"
## Contents
Dr. Simon's Favorite Factoring Trick (abbreviated SFFT) is a special factorization first popularized by AoPS user Simon Rubinstein-Salzedo.
## The General Statement
The general statement of SFFT is: ${xy}+{xk}+{yj}+{jk}=(x+j)(y+k)$. Tw... | HuggingFaceTB/finemath | |
# Is A Vertical Line A Relation?
## What is the vertical line test?
In mathematics, the vertical line test is a visual way to determine if a curve is a graph of a function or not.
A function can only have one output, y, for each unique input, x..
## What causes vertical lines on a TV?
This is a common issue with m... | HuggingFaceTB/finemath | |
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Matlab Basics - Rounding II
Write a script to round a variable x to 3 decimal places: e.g. x = 2.3456 --> y = 2.346
6 meses hace
Resuelto
Check that number is whole n... | HuggingFaceTB/finemath | |
Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :
# Table of 207
The Multiplication Table for 207 is nothing more than the repetitive addition of the number 207. Observe the pattern in the last two digits till the multiple of 10.The numbers are from the times table o... | HuggingFaceTB/finemath | |
2 Closed points
Suppose $\dim X>0$ and $k$ is algebraically closed and uncountable. Moreover, if a "variety" is not necessarily irreducible, the $Z_i$ are supposed to have positive codimension in $X$ (otherwise one could take the irreducible components of $X$).
As in MP's answer, one can suppose $X$ is affine. By Noe... | open-web-math/open-web-math | |
Necessary and sufficeint Questions : GMAT Critical Reasoning (CR)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 19 Jan 2017, 19:49
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance an... | HuggingFaceTB/finemath | |
# Qnt 561 Week 1 Individual Assignment
983 Words Oct 22nd, 2011 4 Pages
QNT/561: Week One Assignment
Exercises 80, 82, and 87 (Ch. 3)
Exercise 80* a. The times are a population because we are considering the wait times for all of the customers seated on Saturday night. b. To find the mean: µ = ∑ X N µ = 1021 25 µ = 40... | HuggingFaceTB/finemath | |
# Evaluate the integral:
Question:
Evaluate the integral:
Solution:
Key points to solve the problem:
- Such problems require the use of method of substitution along with method of integration by parts. By method of integration by parts if we have $\int f(x) g(x) d x=f(x) \int g(x) d x-\int f^{\prime}(x)\left(\int ... | HuggingFaceTB/finemath | |
# Matrix Calculus - Transpose of Vector Derivatives
• Oct 15th 2010, 07:44 AM
danibitt59
Matrix Calculus - Transpose of Vector Derivatives
Hi all,
Here's a newbie question for you:
What are the derivatives of the following -->
Attachment 19337
I guess some of these results will be transposed and othes not..? And s... | HuggingFaceTB/finemath | |
# Physics 1 Dynamics Experiment How Does A Spring Scale Work? Hooke's Law
## Purpose:
1. To investigate Hooke's Law (The relation between force and stretch for a spring)
2. To investigate Newton's Laws and the operation of a spring scale.
## Discussion:
Everybody knows that when you apply a force to a spring or a r... | HuggingFaceTB/finemath |
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