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# 1991 AHSME Problems/Problem 21
## Problem
For all real numbers $x$ except $x=0$ and $x=1$ the function $f(x)$ is defined by $f(x/(x-1))=1/x$. Suppose $0\leq t\leq \pi/2$. What is the value of $f(\sec^2t)$?
$\text{(A) } sin^2\theta\quad \text{(B) } cos^2\theta\quad \text{(C) } tan^2\theta\quad \text{(D) } cot^2\the... | HuggingFaceTB/finemath | |
From
• Angular Mil
• Binary degree
• Centesimal minute of arc
• Centesimal second of arc
• Centiturn
• Degree
• Diameter Part
• Hour Angle
• Milliturn
• Minute of arc
• Minute of time
• Octant
• Point
• Quarter Point
• Second of arc
• Second of time
• Sextant
• Sign
• Turn
To
Angular Mil
• Angular Mil
• Binary degree
•... | HuggingFaceTB/finemath | |
### Consecutive Numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
### Calendar Capers
Choose any three by three square of dates on a calendar page...
### Days and Dates
Investigate how you can work out what day of the week your birthday will b... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Probability similar to Probably a Code?:
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### There are 28 results
Broad Topics > Probability > Probability
### Stage 5 Cipher Challenge
##### Stage: 5 Challenge Level:
Can you crack these very difficult challenge cipher... | HuggingFaceTB/finemath | |
Aptitude Tests 4 Me
Basic Numeracy/Quantitative Aptitude
129. The hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle. The shorter side of the triangle is 7 centimeters less than the longer side. Find the length of the hypotenuse.
(a) 5 (b) 12 (c) 15 (d) 17
130. The sum on an ... | HuggingFaceTB/finemath | |
# Divisibility Rules
It is easy to check if a number can be evenly divided by the numbers from 1 to 10.
Here is a list of the disibility rules.
## Evenly Division by 2
A number can be evenly divided by 2, if the last digit of the number is an even number.
For example:
1734 can be evenly divided by 2, because the ... | HuggingFaceTB/finemath | |
# Range Sum Query 2D - Mutable in C++
C++Server Side ProgrammingProgramming
Suppose we have a 2D matrix called matrix, we have to calculate the sum of the elements inside the rectangle defined by its upper left corner and lower right corner.
So, if the input is like
3 0 1 4 2 5 6 3 2 1 1 2 0 1 5 4 1 0 1 7 1 0 3 0 ... | HuggingFaceTB/finemath | |
# A perfectly competitive firm sells a product at \$10 per unit. For an output of X, with total costs are TC = 15 + .4X + .1X^2. How many units should they produce to maximize profit? The total cost of producing X units of a product by a perfectly competitive firm is given by the expression TC = 15 + 0.4*X + 0.1*X^2. T... | HuggingFaceTB/finemath | |
How do I evaluate $\int \frac{x+1}{(x^2+1) \sqrt{x^2-6x+1}} dx$?
I am trying to evaluate this indefinite integral: $$\int \frac{x+1}{(x^2+1) \sqrt{x^2-6x+1}} dx$$ What I tried
• Substitution $$u = \arctan(x)$$. However, no luck after this
• Find substitutions to convert $$x^2 - 6x + 1$$ into $$(a + bu)^2$$ or $$a - (... | HuggingFaceTB/finemath | |
# Distance time graph for uniform motion
1. ## Distance-time graph for uniform motion Uniform motion graph
Distance time graph for uniform motion
• If we draw a distance-time graph for uniform motion, then it will be a straight line. (As you can see above)
• A distance-time graph is used to show the distance travele... | HuggingFaceTB/finemath | |
Archimedes Principle - Structure Question 3
A balloon filled with helium gas has negligible mass. The volume of the balloon is 120cm³. [Density of air = 1.23 kg/m³.Density of helium gas = 0.18 kg/m³]
1. Calculate the mass of the helium gas in the balloon?
2. $m=ρV m=(0.18)(120× 10 −6 )=2.16× 10 −5 kg$
3. Find the wei... | HuggingFaceTB/finemath | |
# Unit Vector and Components of a Vector
Related Topics:
Vectors
Unit Vectors in Physics
Next set of math lessons in this series
### Unit Vector
A unit vector is a vector with a magnitude of one unit.
Any vector has an associated unit vector in the same direction but having a magnitude of one. Any vector can be exp... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Visualising similar to LOGO Challenge - Triangles-squares-stars:
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##### Other tags that relate to LOGO Challenge - Triangles-squares-stars
Logo. Programming. Games. STEM - General. Tessellations. Real world. Visualising. Wor... | HuggingFaceTB/finemath | |
# Algebra1
posted by on .
2x-7+x=11-5x+6
• Algebra1 - ,
2x-7+x=11-5x+6
3x + 5x = 17 + 7
8x = 25
x = ?
• Algebra1 - ,
0.32
• Algebra1 -- correction - ,
I goofed: 17 + 7 = 24 (not 25)
8x = 24
x = 3
• Algebra1 - ,
How would i get the problem to become 3x+5x=17+7...do i add like terms?
• Algebra1 - ,
Right. Y... | HuggingFaceTB/finemath | |
# STATISTICS FOR DATA SCIENCE
Original article was published by Rakib Ansari on Deep Learning on Medium
# STATISTICS FOR DATA SCIENCE
## 2. Random variable : It is a random collection of variables.
It is of two types :
A. Numerical variable : A numerical is one that may take on any value within a finite or infinit... | HuggingFaceTB/finemath | |
# = 1 2x. x 2 a ) 0 (mod p n ), (x 2 + 2a + a2. x a ) 2
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Transcription
1 8. p-adic numbers 8.1. Motivation: Solving x 2 a (mod p n ). Take an odd prime p, and ( an) integer a coprime to p. Then, as we know, x 2 a (mod p)... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Symmetry similar to Curvy Catalogue:
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Broad Topics > Transformations and their Properties > Symmetry
### Witch of Agnesi
##### Stage: 5 Challenge Level:
Sketch the members of the family of graphs... | HuggingFaceTB/finemath | |
Imaginary and Complex Numbers
Polar or trigonometric notation of complex numbers
Exponentiation and root extraction of complex numbers in the polar form
Powers and roots of complex numbers, use of de Moivre’s formulas
Exponentiation and root extraction of complex numbers examples
Polar or trigonometric notation of comp... | HuggingFaceTB/finemath | |
Proof techniques
1 / 11
# Proof techniques - PowerPoint PPT Presentation
Proof techniques. CHAPTER TWO. Formal Logic vs. Real-world Arguments. Real-world arguments, unlike the formal proofs of Chapter 1, are normally dependent on context, not the structure of the argument.
I am the owner, or an agent authorized to ... | HuggingFaceTB/finemath | |
# How come the $\epsilon-\delta$ definition of continuity is preferred over the sequential definition of continuity?
I've personally found things are a lot easier to prove using the sequences rather than the $$\epsilon-\delta$$ method. I do understand the $$\epsilon-\delta$$ is more intuitive, but it's quite difficult... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A137931 Sum of the principal diagonals of a 2n X 2n square spiral. 5
%I #8 May 06 2019 05:22:15
%S 0,10,56,170,384,730,1240,1946,2880,4074,5560,7370,9536,12090,15064,
%T ... | HuggingFaceTB/finemath | |
# Territorial Shapes on the Coordinate Plane
1 teachers like this lesson
Print Lesson
## Objective
SWBAT use the coordinate plane to find the area of plane figures that have been graphed on the coordinate plane.
#### Big Idea
This is my territory! Determining how much area a plane figure takes up on a coordinate p... | HuggingFaceTB/finemath | |
Friday
May 6, 2016
# Homework Help: Physics
Posted by charlie on Tuesday, June 16, 2009 at 1:05pm.
In an elastic collision:
mass a is 1kg, and is moving at 100ms^1 in the +ve x direction when it hits mass b, 10kgs at rest. Given: mass a moves off at 80 ms^1 in the -ve x direction. What's the final velocity of mass ... | HuggingFaceTB/finemath | |
How many more first time jobless claims were filed in week P : GMAT Data Sufficiency (DS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 04 Dec 2016, 02:19
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate ... | HuggingFaceTB/finemath | |
If the number of five digit numbers with distinct digits and 2 at the 10th place is 336 k, then k is equal to:
# If the number of five digit numbers with distinct digits and 2 at the 10th place is 336 k, then k is equal to:
1. A
4
2. B
8
3. C
6
4. D
7
Fill Out the Form for Expert Academic Guidance!l
+91
Liv... | HuggingFaceTB/finemath | |
# How to prove that every number to the power of any other numbers can be express in a+bi?
I was working on some basic complex numbers and suddenly have a question about it. As you all know, the complex numbers are created as we cannot find a place in the real number system to fit in the value (-1)^(1/2).
So we use i... | HuggingFaceTB/finemath | |
# Codification of Matrix $X$ in $Y=XB+\epsilon$
The variables for the data below is age, group (treatment 1,2,3), Y response variable.
\begin{bmatrix}60&1&5.5\\57&2&4.5\\59&3&8.1\\68&1&0.6\\67&2&1.9\\68&3&4.3\\79&1&0.6\\80&2&3.4\\75&3&4.4\end{bmatrix}
Write the equation of a model to explain the Y's behavior accordi... | HuggingFaceTB/finemath | |
# Help please: Compute the derivative function
• Feb 11th 2008, 11:17 AM
toop
Help please: Compute the derivative function
Here's the problem:
$\displaystyle f(x) = \frac{2} {{2x - 1}}$
Here's what I did so far...I have no idea if I'm even on the right track..
$\displaystyle f'(x) = \mathop {\lim }\limits_{h \to 0}... | HuggingFaceTB/finemath | |
# Homework Help: Help with hw problem please!
1. Jan 19, 2010
### jwang023
1. The problem statement, all variables and given/known data
Problem 1: A model rocket rises with constant acceleration to a height of 3.9 meters, at which point its speed is 28.0 m/s. How much time does it take for rocket to reach this heigh... | HuggingFaceTB/finemath | |
main-content
## Über dieses Buch
The aim of the present monograph is to give a systematic exposition of the theory of algebraic surfaces emphasizing the interrelations between the various aspects of the theory: algebro-geometric, topological and transcendental. To achieve this aim, and still remain inside the limits ... | open-web-math/open-web-math | |
# Why Image is not enlarged if we keep convex lens first and concave lens at last?
Well After successfully getting some concave and convex lens I started observing. At first I saw that if we keep concave lens near to your eye and just after x distance away if we keep convex lens we get one enlarged image but then I ju... | HuggingFaceTB/finemath | |
# Matlab Svm Plot Decision Boundary
hard rmargin SVM has only one type of SV ±points on margin boundaries soft rmargin SVM has three types of SVs ±points on margin boundaries Y i = 0, 0 < D i < C ±points within margin region but still on correct side 0 < Y i < 1 ±points on wrong side of hyperplane (misclassified) Y i ... | open-web-math/open-web-math | |
# Math-probability
One card is selected at random from a deck of cards. Determine the probability that the card is a black heart.
1. 👍 0
2. 👎 0
3. 👁 230
1. 0 probability.
Hearts are only red.
1. 👍 0
2. 👎 0
## Similar Questions
1. ### probability
Anne and Bob each have a deck of playing cards. Each flips ove... | HuggingFaceTB/finemath | |
Name: ___________________Date:___________________
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### Middle/High School Algebra, Geometry, and Statistics (AGS)1.9 Proof for Slope (X - axis and Y - axis)
1. Fin... | HuggingFaceTB/finemath | |
# Main topics for the Second Midterm
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1 Min topics for the Second Midterm The Midterm will cover Sections , Sections , nd Sections (essentilly ll of the mteril covered in clss from the First Midterm). Be sure to know the results of the problems on HWs 3-7 nd Quizzes 4-6 n... | HuggingFaceTB/finemath | |
# Search for tag: "thirds"
#### Constitutional Principles, September 2020
Neal Tannahill, GOVT 2305
From Neal Tannahill 0 likes 0
#### 18
Write the equation of the line with a slope of -4/3 and the y-intercept of (0, -7)
From Marisol Montemayor 0 likes 0
#### 16
Graph the line and find the slope. (-6, 4) and ... | HuggingFaceTB/finemath | |
# Answers
Solutions by everydaycalculation.com
## 875 is what percent of 60?
875 of 60 is 1458.33%
#### Steps to solve "what percent is 875 of 60?"
1. 875 of 60 can be written as:
875/60
2. To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100... | HuggingFaceTB/finemath | |
# Driving Frequency
Ok, so I was learning about Driven oscillations and resonance. And in my text book, they don't define or explain wth driving frequency is. Can anyone please explain to me what exactly it is, what its physical meaning is and how the equation for driving frequency $$Fcos\omega$$d$$t$$ was derived?
•... | HuggingFaceTB/finemath | |
kmmiles.com
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# 273.48 miles in km
## Result
273.48 miles equals 440.0293 km
You can also convert 273.48 mph to km.
## Conversion formula
Multiply the amount of miles by the conversion factor to get the result in km:
273.48 mi × 1.609 = 440.0293 km
## How to convert 273.48 miles to km?
The conversion fac... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A005592 a(n) = F(2n+1) + F(2n-1) - 1. (Formerly M1619) 8
1, 2, 6, 17, 46, 122, 321, 842, 2206, 5777, 15126, 39602, 103681, 271442, 710646, 1860497, 4870846, 12752042, 33385281, 87403802,... | HuggingFaceTB/finemath | |
# Equations With Rational Coefficients
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The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned... | HuggingFaceTB/finemath | |
# Let A be a 5 by 7 , B be a 7 by 6 and C be a 6 by 5 matrix. How to determine the size of the following matrices ? AB, BA, A^TB, BC, ABC , CA ,B^TA , BC^T
Sep 13, 2015
According to the theory of matrix multiplication, the matrix multiplication is only defined if B has the same number of columns as rows in A, that is... | HuggingFaceTB/finemath | |
# 68 kg to lbs - 68 kilograms to pounds
## 68 kg to lbs
Before we go to the more practical part - this is 68 kg how much lbs conversion - we want to tell you few theoretical information about these two units - kilograms and pounds. So let’s start.
How to convert 68 kg to lbs? 68 kilograms it is equal 149.91433816 po... | HuggingFaceTB/finemath | |
# Equivalent statements of $(M,P)$-generic conditions
I'm reading about proper forcing for the first time and one of the standard results concerning the properties of $$(M,P)$$-generic conditions is the fact that in an elementary submodel $$M$$ of $$H_\lambda$$ for a large enough $$\lambda$$ containing $$P$$ and a nam... | HuggingFaceTB/finemath | |
# Constructing a quadrilateral with three sides and two angles.
Let us say you are required to construct a quadrilateral PQRS where the measurements are:
• QR = 6 cm
• RS = 5 cm
• PS = 4 cm
• ∠S = 100 degrees
• ∠R = 120 degrees
For the construction of quadrilaterals with some of the measurements given, we first draw... | HuggingFaceTB/finemath | |
# Worksheet on Equivalent Fractions
In worksheet on equivalent fractions, all grade students can practice the questions on equivalent fractions. This exercise sheet on equivalent fractions can be practiced by the students to get more ideas to change the fractions into equivalent fractions.
1. Write 5 equivalent fract... | HuggingFaceTB/finemath | |
1. Force on rope
hi all,
Taru and Reiko simultaneously grab a 1.61 kg piece of rope and begin tugging on it in opposite directions. If Taru pulls with a force of 18.0 N and the rope accelerates away from her at 1.24 m/s2, with what force is Reiko pulling? Round your answer to 2 decimal places.
My thoughts,
force=mas... | HuggingFaceTB/finemath | |
Paul's Online Notes
Home / Calculus III / Line Integrals / Line Integrals of Vector Fields
Show Mobile Notice Show All Notes Hide All Notes
Mobile Notice
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 view... | HuggingFaceTB/finemath | |
Basic enumeration — continued
(a) How many possibilities are there to distribute k forints (Hungarian currency) among n people so that each receive at least one?
(b) Suppose that we do and insist that each person receives something. What will be the number of distributions in this case?
Hint (a)
Imagine k 1-forint ... | HuggingFaceTB/finemath | |
21-356 Lecture 6
# 14 friday january 21 2011 4 higher order derivatives
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This is the end of the preview. Sign up to access the rest of the document.
Unformatted text preview: an write U = A ' A1 , where A and A1 are open and disjoint. Since A is nonempty a... | HuggingFaceTB/finemath | |
# Algebraic Expression Calculator
Instructions: Type any algebraic expression to evaluate, such as '2 + 3/4 + 3^2' or 'sin(3 pi) + 2cos(3 pi/2) + sqrt(2)', etc., and this Algebraic Expression Calculator will compute the result for you Type the algebraic expression you want to evaluate =
## What is an Algebraic Expres... | HuggingFaceTB/finemath | |
Instructions
These questions are based on the following data. Study it carefully and answer the question that follow-
In a school having 400 students boys and girls are in the ratio of 3 : 5 respectively. The students speak Hindi, English or both the languages. 12% of the boys speak only Hindi, 22% of the girls speak ... | HuggingFaceTB/finemath | |
# Maxwell's Equations
## Ampere's Law
August 02, 20203 min read ScienceMath
This is it, the final equation. I really wish I had used the differential forms of all these equations but it’s been like a year so ¯\_(ツ)_/¯.
$\oint \vec{B} \cdotp d\vec{L} = \mu_0I_{encl} + \mu_0\varepsilon_0{d\phi_E \over dt}$
We have:
... | HuggingFaceTB/finemath | |
# Apple Loving Driver
A driver must transport 3000 apples with his truck from city A to city B. The distance between the two cities is 1000 miles and his truck can carry at most 1000 apples at once. If every mile the driver eats one of the apples he is transporting (if there are any with him), what is the optimal stra... | HuggingFaceTB/finemath | |
Coursework Notes - Algebra
Simultaneous Equations
solution by substitution by elimination using graphs
By substitution
The method is to re-arrange one of the equations in the form 'x =' or 'y =' and substitute the value of x or y into the second equation.
Example #1
Example #2
Example #3
By elimination
Here o... | HuggingFaceTB/finemath | |
# Handling Data
Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and su... | HuggingFaceTB/finemath | |
1. solving equations
Please assist me in solving the following equation: (3t - 5) / (t - 1) = 2 + (2t) / (1 - t) Would t= -1 or 1 ? Thanks!
2. Originally Posted by jay1
Please assist me in solving the following equation: (3t - 5) / (t - 1) = 2 + (2t) / (1 - t) Would t= -1 or 1 ? Thanks!
You should be able to see stra... | HuggingFaceTB/finemath | |
# Addition: Make the Sum Correct
In this worksheet, students are given a three-digit answer. They complete the question by adding numbers from 0 to 9. Key stage: KS 2
Curriculum topic: Number: Addition and Subtraction
Curriculum subtopic: Use Correct Methods to Problem Solve
Difficulty level: ### QUESTION 1... | HuggingFaceTB/finemath | |
RS Aggarwal Class 9 Solutions Chapter 14 -Statistics Ex 14C (14.3)
RS Aggarwal Class 9 Ex 14C Chapter 14
Q.1: Find the arithmetic mean of:
(i) The first eight natural numbers
(ii) The first the odd numbers
(iii) The first five prime numbers
(iv) The first six even numbers
(v) The first seven multiples of 5
(vi)... | HuggingFaceTB/finemath | |
# Trigonometry Examples
Find the Cube Roots of a Complex Number
,
Step 1
Calculate the distance from to the origin using the formula .
Step 2
Simplify .
Step 2.1
Use the power rule to distribute the exponent.
Step 2.1.1
Apply the product rule to .
Step 2.1.2
Apply the product rule to .
Step 2.1.3
Apply the product rul... | HuggingFaceTB/finemath | |
# Help proving existence of an specific $x_0$ for which $f''(x_0)=0$
I have a function $f: [0,1]\rightarrow \mathbb{R}$ that is twice differentiable. For this function is stated that there is a line segment with endpoints $A=(0,f(0))$ and $B=(1,f(1))$ that cuts function $f$ at $(a,f(a))$ where $0<a<1$. I have to prove... | HuggingFaceTB/finemath | |
# Number of N length sequences whose product is M
• Difficulty Level : Expert
• Last Updated : 08 Jun, 2021
Given two integers N and M, the task is to find the count of possible sequences a1, a2, … of length N such that the product of all the elements of the sequence is M.
Examples:
Input: N = 2, M = 6
Output:
Possi... | HuggingFaceTB/finemath | |
## The Power of Generating Functions
In Pentagonal Number Theory, I touched on the topic of generating function but now I'll give examples of generating functions being used to find explicit solutions for recurrent relations. I think this was their primary purpose; Abraham de Moivre invented them when he tried to find... | HuggingFaceTB/finemath | |
# Inverse pythagorean theorem. Converse of the Pythagorean Theorem 2018-07-20
Inverse pythagorean theorem Rating: 5,5/10 132 reviews
## Pythagorean theorem
You could do it in your head. For z not on a branch cut, a straight line path from 0 to z is such a path. Solution: We choose the two shorter sides to be a and b... | HuggingFaceTB/finemath | |
# How to Simplify Radical Expressions
Author Info
Updated: April 24, 2019
A radical expression is an algebraic expression that includes a square root (or cube or higher order roots). Often such expressions can describe the same number even if they appear very different (ie, 1/(sqrt(2) - 1) = sqrt(2)+1). The remedy i... | HuggingFaceTB/finemath | |
# Ohms Law for Beginners (voltage and current)
in #stemgeeks2 years ago (edited)
When I was growing up, I joined an amateur radio class, and we needed to pass our radio course to get our license. I haven't revisited that hobby, but hopefully one day I will find the time.
The benefit of learning electronics with that... | HuggingFaceTB/finemath | |
# combinatorial minimum number problem
i stumbled upon the following question: There are $2n$ students in a school $(n ∈ N, n ≥ 2)$. Each week $n$ students go on a trip. After several trips the following condition was fulfilled: every two students were together on at least one trip. What is the minimum number of trips... | open-web-math/open-web-math | |
CoCalc Public FilesRelease / RisingPressure.ipynb
Author: Ingo Dahn
Description: Learning Materials released by the MathTrek Team
Compute Environment: Ubuntu 20.04 (Default)
# Part II: Pressure
By Ingo Dahn, (Koblenz, Germany [email protected]) and Ambjörn Naeve (Stockholm, Sweden [email protected])
Weather balloons... | open-web-math/open-web-math | |
## 5% rule
Samuel G Rivera - Discussion 4I
Posts: 61
Joined: Sat Aug 17, 2019 12:16 am
Been upvoted: 1 time
### 5% rule
I keep hearing the 5% rule, but I'm still confused about what it is and when to use it.
Rodrigo2J
Posts: 102
Joined: Sat Jul 20, 2019 12:16 am
### Re: 5% rule
Basically, the 5% rule can be used ... | HuggingFaceTB/finemath | |
# 80
## 80 is an even composite number composed of two prime numbers multiplied together.
What does the number 80 look like?
This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.
80 is an even composite number. It is composed of two distinct prime numbers multiplied ... | HuggingFaceTB/finemath | |
+0
# Factoring Problem
0
69
2
What is the greatest positive integer n such that \(3^n\) is a factor of \(200! \) ?
Help appreciated!
Oct 13, 2020
#1
0
200!= 2^197 * 3^97 * 5^49 * 7^32 * 11^19 * 13^16 * 17^11 * 19^10 * 23^8 * 29^6 * 31^6 * 37^5 * 41^4 * 43^4 * 47^4 * 53^3 * 59^3 * 61^3 * 67^2 * 71^2 * 73^2 * 79^2... | HuggingFaceTB/finemath | |
# Question: How do you read soccer odds?
Contents
If a team has odds of 2.5, you win 2.5 times your bet amount if the team goes ahead and wins the match. If the team loses the match, you lose your bet amount. For example, if you bet \$10 on the team with 2.5 odds, you win \$25 and earn a profit of \$15 if the team wi... | HuggingFaceTB/finemath | |
1 Addition 2 Subtraction 3 Multiplication 4 Division 1 Division Facts 2 Division of Two-Digit by One-Digit Numbers 3 Division of Two-Digit by Two-Digit Numbers 4 Division with Not-so-easy Dividents
### Division with Not-so-easy Dividends
[Dividend’s ten digit is not divisible by divisor]
For problems such as 72 ÷ 3,... | HuggingFaceTB/finemath | |
Units, Words, and Notation
The phrase "instantaneous rate of change of f with respect to x at a" is a mouthful, because there are a lot of things we need to specify in order to be precise. This is why scientists sound like they're speaking a different language sometimes. They are. We need to specify
• that we're find... | HuggingFaceTB/finemath | |
# Why my process is wrong:-How many ways are there to choose $5$ questions from three sets of $4$, with at least one from each set?
Question
A question paper on mathematics contains $$12$$ questions divided into three parts A, B and C, each containing $$4$$ questions. In how many ways can an examinee answer $$5$$ que... | open-web-math/open-web-math | |
# ODE and Laplace transform
## Homework Statement
Hi
I am trying to solve the following system of ODE's by Laplace transforming:
$$x' = 1 + 21y - 6x \\ y' = 6x-53y$$
with the initial conditions x(0)=y(0)=0. Laplace transforming gives me (X and Y denote the Laplace transformed variables)
$$sX = 1 + 21y-6x \\ sY = 6x-... | HuggingFaceTB/finemath | |
## Break the Markov Chains of Oppression: Modeling without MCMC
You've seen the articles that say "MCMC is easy! Read this!" and by the end of the article you're still left scratching your head. Maybe after reading that article you get what MCMC is doing... but you're still left scratching your head. "Why?"
"Why do I... | HuggingFaceTB/finemath | |
Math Calculators, Lessons and Formulas
It is time to solve your math problem
Linear Algebra - Vectors: (lesson 3 of 3)
## Cross Product
Besides the usual addition of vectors and multiplication of vectors by scalars, there are also two types of multiplication of vectors by other vectors. One type, the dot product, i... | HuggingFaceTB/finemath | |
# Titius Bode series
Johann Daniel Titius (1729–1796)
Johann Elert Bode (1747-1826)
The Titius-Bode series (also titius-bodesche series, Bode- Titiussche relation , bodesche rule and the like) is a numerical relation found empirically by Johann Daniel Titius and made known by Johann Elert Bode , according to which th... | open-web-math/open-web-math | |
Kasiski Examination | Espionage Techniques | Areas Of Computer Science
# Kasiski examination
1
Kasiski examination
In cryptanalysis, Kasiski examination (also referred to as Kasiski's Test or Kasiski's Method) is a method of attacking polyalphabetic substitution ciphers, such as the Vigen€re cipher. It was first pub... | HuggingFaceTB/finemath | |
Question
Wed July 20, 2011
# how to solve intergal of 2cosx + 3sinx/3sinx -2cosx... i'm confused in this question
Tue July 19, 2011
To solve this integral put
2cosx+3sinx=p(3sinx-2cosx)+q(3cosx+2sinx)
2cosx+3sinx=(3p+2q)sinx+(3q-2p)cosx
equating we get
2=3p+2q and 3=2q+3p
solving the above 2 equations we get
p=5/13 a... | HuggingFaceTB/finemath | |
In the name of ALLAH SWT, the Beneficent, the Merciful,
19 and The ROTATION Rotation is part of Mathematical System. Found: 14 October 2000 Special Fact !! These numbers are the 180 degrees rotateable numbers 1,6 ,8 and 9 --- 1698 I couldn't find any rotation effects with this number (1689). But When I rotate it 1... | HuggingFaceTB/finemath | |
# 2006 AMC 12A Problems/Problem 6
The following problem is from both the 2006 AMC 12A #6 and 2006 AMC 10A #7, so both problems redirect to this page.
## Problem
The $8\times18$ rectangle $ABCD$ is cut into two congruent hexagons, as shown, in such a way that the two hexagons can be repositioned without overlap to fo... | HuggingFaceTB/finemath | |
# Scientific Method with SpongeBob
advertisement
```Scientific Method with SpongeBob
Variables and Constants
Name: _________________________________
Date: __________________
Per: _____
Part I. Write a definition for each of the following words in YOUR own words. Yes look them
up but don’t copy!
Constants (also calle... | HuggingFaceTB/finemath | |
News
Now let’s assume that the same train is going to pass a long bridge of length L. The new Distance covered by the train while passing over the bridge will be the length of the bridge+ the length of the train. ... and have hit Croatia, Spain, Mexico, Africa, Curacao, France, Canada, and Italy on 20m easily. So, the... | open-web-math/open-web-math | |
Published on:
Hello guys,
I am Shweta, here today I am going to tell you about the RD SHARMA CLASS 8TH NOTES PDF DOWNLOAD, its writer is op malhotra.
RD Sharma Class 8th Mathematics: A Comprehensive Guide
Mathematics is a subject that plays a crucial role in the academic journey of students. It is a subject that re... | HuggingFaceTB/finemath | |
Hire Someone To Take My Exam | Pay Me To Do Your Online Examination
# What Is Linear Algebra?
Linear algebra is an important branch of mathematics that involves equations and functions, such as: x+y=z. Linear equations can be in two forms: a linear equation, and a non-linear equation.
The linear equation can be desc... | HuggingFaceTB/finemath | |
#### Superposition of two stationary state
Let us now consider the linear superposition of the two previous stationnary: states.
y(x,t) = C1(t) j 2(x) + C2(t) j2(x)
By manually changing C1 and C2 you can observe that when the two coefficient are in phase, the eigenfunctions interfere constructively on the left side wh... | HuggingFaceTB/finemath | |
### Percentage
In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100, which means, a part per hundred. The word per cent means per 100. It represented by the symbol “%”. Percentages have no dimension. Hence it is called a dimensionless number. If we say, 50% of a number, then it ... | HuggingFaceTB/finemath | |
# All possible pythagorean triples, visualized
[Intro Music]
When you first learned about the pythagorean theorem
that the sum of the squares of the two shorter sides on a right triangle always equals the square of its hypotenuse
I'm guessing that you came to be pretty familiar with a few examples like the 3-4-5 trian... | HuggingFaceTB/finemath | |
## How Do We Know Prime Numbers are Infinite?
• by Brett Berry - Sun, 02/12/2017 - 22:33
Euclid’s Theorem
There are infinitely many prime numbers.
Suppose I have a list of all the known prime numbers. Let’s show that this list, no matter how large, is incomplete. We’ll show that there always exists a prime number t... | HuggingFaceTB/finemath | |
# Line Equations in Python
The other day I was playing with some Python challenges found on a popular sites, this challenge worked with xy coordinates on a 2D plane.
I wanted to show some of the code I wrote and how they work.
## The Plane
Being the data is a tuple of x, y coordinates we will use the Cartesian Coor... | HuggingFaceTB/finemath | |
ENG RUS Timus Online Judge
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## Discussion of Problem 1332. Genie Bomber
How to solve this problem?
Posted by Hy... | HuggingFaceTB/finemath | |
# Probability of returning to starting point before hitting adjacent point for RW on Z^2
Consider (simple) random walk on $\mathbb{Z}^2$ started at the origin. The probability that the walk returns to the origin before hitting $(0,1)$ is $1/2$.
To see this, let $a(x)$ be the potential kernel for random walk on $\math... | HuggingFaceTB/finemath | |
Chapter 2 - What is Light¶
Example 2 - pg 32¶
In :
#plot the required space and time profiles
%matplotlib inline
# wave y= 2*sin(10*pi*t - (pi*x)/40 + pi/4)
# (a) Plot the space profile at t= T/4
# Comapring the given Equation with y= A*sin(omega*t - k*x + phi)
#given
import math,matplotlib,numpy
from matplotlib im... | HuggingFaceTB/finemath | |
# If $d=\gcd\,(f(0),f(1),f(2),\cdots,f(n))$ then $d|f(x)$ for all $x \in \mathbb{Z}$
• $\textbf{Question.}$ Let $f$ be a polynomial of degree $n$ which takes only integral values. If $d=\gcd\,\{f(0),f(1),f(2),\cdots,f(n)\}$ then show that $d|f(x)$ for all $x \in \mathbb{Z}$.
• How can one show this. It's clear that if... | HuggingFaceTB/finemath | |
What is the length of the rectangle, which has the area of 216 meter and the ratio of the perimeter and breadth is 5?
###### Option:
A. 12 meter
B. 18 meter
C. 24 meter
D. 36 meter
Justification:
The length of the rectangle is = L.
The breadth of the rectangle is = B.
The area of the rectangle is = A.
The perimet... | HuggingFaceTB/finemath | |
### Minimization
The a N (calc-find-minimum) [minimize] command finds a minimum value for a formula. It is very similar in operation to a R (calc-find-root): You give the formula and an initial guess on the stack, and are prompted for the name of a variable. The guess may be either a number near the desired minimum, o... | HuggingFaceTB/finemath | |
{[ promptMessage ]}
Bookmark it
{[ promptMessage ]}
hwsol1
# hwsol1 - Made to Order(of Magnitude Description Several...
This preview shows pages 1–3. Sign up to view the full content.
Made to Order (of Magnitude) Description: Several unrelated order-of-magnitude calculations. Learning Goal: To be able to make ord... | HuggingFaceTB/finemath | |
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# The Easiest Way to Solve a
Pictures
By Mark Wipfler
## How to Solve a Rubik's Cube the Easy Way
Solving a Rubik's Cube may seem to be impossible. In fact most people give up on it after
playing with it for only a few minutes and never pick it up again, while others are willing to tame
the b... | HuggingFaceTB/finemath |
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