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# GCD of Integer and Divisor
## Theorem
Let $a, b \in \Z_{>0}$, i.e. integers such that $a, b > 0$.
Then:
$a \divides b \implies \gcd \set {a, b} = a$
## Proof
$a \divides b$ by hypothesis, $a \divides a$ from Integer Divides Itself.
Thus $a$ is a common divisor of $a$ and $b$.
Note that from Absolute Value of ... | HuggingFaceTB/finemath | |
# Integral of Sec^2 x/(secax+tanx) ^9/2 dx=?
Mar 19, 2018
$- \frac{1}{7} {\left(\sec x + \tan x\right)}^{- \frac{7}{2}} - \frac{1}{11} {\left(\sec x + \tan x\right)}^{- \frac{11}{2}} + C$
#### Explanation:
$\int {\left(\sec x\right)}^{2} / {\left(\sec x + \tan x\right)}^{\frac{9}{2}} \cdot \mathrm{dx}$
=$\frac{1}{... | HuggingFaceTB/finemath | |
User will merry - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T01:04:34Z http://mathoverflow.net/feeds/user/8594 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/60737/splitting-of-the-double-tangent-bundle-into-vertical-and-horizontal-parts-and-de/60787#607... | open-web-math/open-web-math | |
# A quicker way to approach the indefinite integral $\int{\frac{x^3dx}{1+x^5}}$
Problem: Evaluate the integral $$\int{\frac{x^3dx}{1+x^5}}$$
Source: Given to me as a challenge. I can't seem to find a valid substitution for the integral. Also the way should be quick enough to apply in a timed test. I don't know the an... | HuggingFaceTB/finemath | |
## Wednesday, 12 August 2015
### Thermal properties
There are basically three types of thermal properties.
#### Heat capacity
C= ∆Q/∆T
Heat capacity shows the ability of material to absorb thermal energy.
We can say that heat capacity is defined as the ratio of heat, added or removed from the system, to the change... | HuggingFaceTB/finemath | |
NZ Level 8 (NZC) Level 3 (NCEA) [In development] Differentiation various functions
Lesson
In routine problems requiring differentiation, we rely on several previously established rules for differentiating various types of functions. However, one should keep in mind the meaning of the derivative as the function that gi... | HuggingFaceTB/finemath | |
# math
Find the unit rate. Run 400 meters in 1 min 32 s. Have no idea, please help.
1. 👍 0
2. 👎 0
3. 👁 117
1. 400m / 92s = 4.35 m/s
or,
400m / 1.533 min = 260.9 m/min
1. 👍 0
2. 👎 0
posted by Steve
2. 400 m in 1min, 32 sec = 92 seconds
so 100 m in 92/4 or 23 seconds
you did not specify what rate we are talkin... | HuggingFaceTB/finemath | |
# Prove that the set of all numbers formed by finite sums of elements of $S$, is countable.
$S$ = {$\sqrt[n]{a}$ : $n\in\mathbb{N}$ and $a\in \mathbb{Q}$}
Prove that the set of all numbers formed by finite sums of elements of $S$, is countable. We know that $S$ is countable.
I am not sure how to approach this one an... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Multiplication & division similar to Multiply Multiples 2:
Filter by: Content type:
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### There are 165 results
Broad Topics > Calculations and Numerical Methods > Multiplication & division
### Multiply Multiples 3
##### Stage: 2 Challenge Level:
... | HuggingFaceTB/finemath | |
The OEIS is supported by the many generous donors to the OEIS Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A358788 Numbers k such that tau(k^2) + 2*sigma(k^2) and 2*tau(k^2) + sigma(k^2) are both prime. 1
1, 2, 3, 4, 6, 11, 12, 17, 18, 24, 33, 60, 69, 94, 131, 138, 173, 187, 198... | HuggingFaceTB/finemath | |
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(a) 0th iteration
(b) 1st iteration
(c) 2nd iteration
(d) 20th iteration
Figure 1: Sierpi´
nski Carpet Fractal.
Problems of the day:
1
Assuming that the area of the black square in (a) is equal to 9.
(a) How could we calculate the area in each of the drawings (b) – (d)?
(b) Write a genera... | HuggingFaceTB/finemath | |
# RD Sharma Solutions for Class 9 Maths Chapter 25 Probability
## RD Sharma Solutions Class 9 Maths Chapter 25 – Free PDF Download
RD Sharma Solutions for Class 9 Maths Chapter 25 Probability are given here which consists of questions and answers related to Probability. “Probability is a measure of the possibility th... | HuggingFaceTB/finemath | |
Chapter MD Matrix Decompositions
This chapter is about breaking up a matrix A into pieces that somehow combine to recreate A. Usually the pieces are again matrices, and usually they are then combined via matrix multiplication (Definition MM). In some cases, the decomposition will be valid for any matrix, but often we... | HuggingFaceTB/finemath | |
# Number 5.0
● At Level 5, students identify complete factor sets for natural numbers and express these natural numbers as products of powers of primes (for example, 36 000 = 25 × 32 × 53).
● They write equivalent fractions for a fraction given in simplest form (for example, 2/3 = 4/6 = 6/9 = … ).
● T... | HuggingFaceTB/finemath | |
kmmiles.com
# 31.28 miles in km
## Result
31.28 miles equals 50.3295 km
You can also convert 31.28 km to miles.
## Conversion formula
Multiply the amount of miles by the conversion factor to get the result in km:
31.28 mi × 1.609 = 50.3295 km
## How to convert 31.28 miles to km?
The conversion factor from mile... | HuggingFaceTB/finemath | |
# Propositional logic theorem prover¶
CanProve(proposition)
try to prove statement
Param proposition
an expression with logical operations
Yacas has a small built-in propositional logic theorem prover. It can be invoked with a call to CanProve(). An example of a proposition is: “if a implies b and b implies c then... | HuggingFaceTB/finemath | |
# Bivariate Analysis Definition & Example
Share on
Statistics Definitions > Bivariate Analysis
## What is Bivariate Data?
Watch the video for an overview of bivariate data and bivariate data analysis:
Data in statistics is sometimes classified according to how many variables are in a particular study. For example... | HuggingFaceTB/finemath | |
# Triads = False Quads * ~ * ~ * When Numbers Speak !! * ~ * ~ *
Seen a " Triad " in your state ? It's a good indicator of . . " A False Quad
A " False Quad " May follow after consecutive digits hits . . .
Please Note: Quads are rear in some states and may not hit at all . ... | HuggingFaceTB/finemath | |
Merge overlapping intervals
Difficulty: Medium
Understanding the Problem
You will be given a set of intervals in the form of a 2-D array, write a program to merge all the overlapping intervals and return the array.
Problem Note:
• You will be given a 2-dimensional array consisting of `n` rows and 2 columns.
• Each... | HuggingFaceTB/finemath | |
Sunday, December 16, 2012
Russell's Scribe Post
In class, we learned about dividing fractions. I will recap the things we did when dividing fractions.
No negatives, so the product is positive.
There are 4 groups of 3 in 12.
There are 2 negatives, so the product is positive.
There are 4 groups of -3 in -12.
Dividin... | HuggingFaceTB/finemath | |
## The year of birth decides which years will bring major changes in a person’s life.
Example : let us take an example of a person born in 1981.
1+9+8+1 = 19
now add this to the year of birth
1981 + 19 = 2000
Thus year 2000 will bring major changes in life for that person in many aspects.
now 2+0+0+0 = 2
2000 + 2 ... | HuggingFaceTB/finemath | |
# Homework Help: Deriving Maclaurin series for tanx
1. Oct 28, 2011
### Lucy Yeats
1. The problem statement, all variables and given/known data
State the Maclaurin series for sinx and cosx. Hence derive the Maclaurin series for tanx.
2. Relevant equations
sin(x) = x - x3/3! + x5/5! - x7/7!...
cos(x) = 1 - x2/2! +... | open-web-math/open-web-math | |
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# Tutor profile: Shawn C.
Inactive
Shawn C.
My family's tutor!
Tutor Satisfaction Guarantee
## Questions
### Subject:Pre-Algebra
TutorMe
Question:
Consider the following equation: 60=2(x+3). Solve for x.
Inactive
Shawn C.
Divide by 2 on both sides of the equation (30=x+3). Subtract 3 fro... | HuggingFaceTB/finemath | |
# An Elementary Course of Plane Geometry
Thomas Murray, 1870 - 16 sider
### Indhold
Lines and Planes 1 Angles 9 Circles 25 Triangles 41 Parallels and Quadrilaterals 51 Areas 76 Proportion 96 Numerical Proportion Definition of Term Extreme Mean Pro 116
Circles and Secants 122 angents common to 142 Similar Figures 1... | HuggingFaceTB/finemath | |
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# QUALIFYING EXAMINATION Classical Mechanics August 30, 2006 9 -11 am Three small beads, two of mass m and one
of mass 2m, are confined to move on a ring of radius R as shown. Each is connected to its nearest neighbors by stretched springs of spring constant k. When in equilibrium, they are symm... | HuggingFaceTB/finemath | |
# MIE 2015
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Day 1
### Problem 1
Given any three sets $F$, $G$ and $H$. The set $G-H$ is equal to the set:
(a) $(G\cup F)-(F-H)$
(b) $(G\cup H)-(H-F)$
(c) $(G\cup(H-F))\cap\overline{H}$
(d) $\overline{G}\cup(H\cap F)$
(e) $(\overline{H... | HuggingFaceTB/finemath | |
ALGEBRA - Order of Operations
by Stacy
HOW TO WORK OUT ans solve 40-(10-{4-2} )
E evaluate this expression using the PEMDAS order of operations.
P = Parentheses
E = Exponents
M = Multiplication
D = Division
S = Subtraction
Comments for ALGEBRA - Order of Operations
Sep 18, 2011 Evaluate Expression by: Staff ... | HuggingFaceTB/finemath | |
# Math (Double checking trig identity)
Since sec^2θ - 1 = tan^2θ
I know this is trivial, but I want to make sure I'm doing this right before I apply it to the integral I'm trying to solve...
If I have some constant a,
(a^2secθ)^2 - (a^2)^2
If I wanted to change this to tan would it be:
a^4tan^4θ?
Any help is gre... | HuggingFaceTB/finemath | |
# Math question from the inumerate
Can someone tell me how to do this.
How can I measure the length of the actual curve of a sine wave. The actual curve not the wavelength.
Raavin :)
well, you just have to use the arc length formula.
for a function f(x),
arc length S =[inte] [squ](1+ [f'(x)]2 )dx
and then of cou... | HuggingFaceTB/finemath | |
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# Momentum Demonstration
## By: Jeremy T. Rosen
Momentum
Momentum is a property of moving matter.
Momentum describes the tendency of objects
to keep going in the same direction with the
same speed.
Changes in momentum result from forces or
create forces.
We dont want to lose our momentu... | HuggingFaceTB/finemath | |
# GMAT: Numerical Aptitude Questions (Practice_Test 9 of 12)
Get top class preparation for GMAT right from your home: fully solved questions with step-by-step explanation- practice your way to success.
1. If multiplied a natural number by 18 and another by 21 and added the products. Which one of the following could b... | HuggingFaceTB/finemath | |
### Welcome
Anti Essays offers essay examples to help students with their essay writing.
# Richter Scale Math Essay
Below is an essay on "Richter Scale Math" from Anti Essays, your source for research papers, essays, and term paper examples.
Cody Walters
11/29/1010
Math 144
Earthquake Intensity and the Richter Scal... | HuggingFaceTB/finemath | |
# How to Create a Norton’s Equivalent Circuit?
This article is intended to illustrate the steps required for creating a Norton equivalent circuit. All the concepts mentioned here build on the prior knowledge of simplifying circuits.
According to Norton's theorem, any two-terminal circuit, made up of fixed value resis... | HuggingFaceTB/finemath | |
# Riemann multiple integral
Let $f\colon\mathbb{R}^{n}\to\mathbb{R}$ be a bounded function with compact support. Recalling the definitions of polyrectangle and the definitions of upper and lower Riemann sums on polyrectangles, we define
$S^{*}(f):=\inf\{S^{*}(f,P)\colon\text{P is a polyrectangle, f(x)=0 for % every ... | HuggingFaceTB/finemath | |
# Conjugates of elements of given field
Let $$\zeta=\zeta_{77}$$. For each of the following, find all conjugates of the given element over the given field.
i) of $$\zeta^{44}$$ over $$\mathbb{Q}$$.
ii) of $$\zeta$$ over $$\mathbb{Q}(\zeta^{44})$$.
Proof:
i) We see $$\zeta^{44}$$ is the primitive $$7$$th root of un... | HuggingFaceTB/finemath | |
# Power Converter
Created by Davide Borchia
Last updated: Jul 07, 2022
They say knowledge is power, and money is power: our power converter can't tell you if this is true, but it can help you convert power among its various measurement units.
Here you will learn:
• What is power (in physics);
• What is a watt: the ... | HuggingFaceTB/finemath | |
# Statistics
posted by .
If you roll a fair die 100 times and 35 of the rolls result in a six, what would be the probability of the outcome of a 2, P(2)?
P(2) = 0.02
P(2) = 2
P(2) = 35
P(2) = 0.35
## Similar Questions
1. ### Statistics 250
If you roll a die 38 times and 12 of the rolls result in a "5," what em... | HuggingFaceTB/finemath | |
# Linear Simultaneous Equations
## Presentation on theme: "Linear Simultaneous Equations"— Presentation transcript:
Linear Simultaneous Equations
Chapter 8 Solving Simultaneous Equations Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Review: Linear Simultaneous Equation... | HuggingFaceTB/finemath | |
# SALARY - Editorial
Author: Ivan Zdomsky
Tester: Anton Lunyov
Editorialist: Anton Lunyov
CAKEWALK
None
### PROBLEM:
You are given the array W, W, …, W[N] of salaries of the workers. At each operation you can increase by 1 salaries of any N − 1 workers. Your goal is to make salaries of all the workers to be equal... | HuggingFaceTB/finemath | |
Gybrisysmemiau7
2022-06-30
Identify if the sequence is arithmetic, geometric or quadratic.
Assuming the r-st item of each sequence is ${a}_{1}$, give an expression for ${a}_{i}$.
If the sequence is arithmetic or geometric, compute the sum of the first 10 terms in the sequence
$1;4;13;28;49;...$
### Answer & Explanat... | HuggingFaceTB/finemath | |
Credit card number anatomy
A short tutorial here on credit card numbers:
What’s in a (CC) number?
I liked the checksum explanation:
Checksum
The final digit of your credit card number is a check digit, akin to a checksum. The LUHN Formula, known also as a Mod 10 calculation, can be used to validate account numbers... | HuggingFaceTB/finemath | |
Is 1475 a prime number? What are the divisors of 1475?
## Parity of 1 475
1 475 is an odd number, because it is not evenly divisible by 2.
Find out more:
## Is 1 475 a perfect square number?
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an ... | HuggingFaceTB/finemath | |
# Hints for Time Record, Frequency Domain Problems
Lest anyone feel that the problem is artificial, of course it is! But not unrealistic! The data shown could easily occur in control experiments; steady state controlled input/output responses and sinusoids are natural consequences of control situations. The problem ex... | HuggingFaceTB/finemath | |
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# How do I Calculate an Amortized Loan Payment?
by Timothy Plaehn
An amortized loan is structured on equal monthly payments that will completely pay off a loan in a fixed period of time. Calculating amortized loan payments requires advanced math, but spreadsheet functions i... | HuggingFaceTB/finemath | |
# Pre-calc
posted by .
Use the given zero to find the remaining zeros of the function:
h(x)=x^4-15x^3+55x^2+155x-1476 Zero:5-4i
I multiplied [x-(5-4i)][x-(5+4i)] and got x^2-10x+9.
The example I have says to divide that by h and get a second quadratic equation that is also a factor of h. I have to use that equatio... | HuggingFaceTB/finemath | |
NCERT Exemplar: Quadratic Equations - 1
### Exercise 4.1
Choose the correct answer from the given four options in the following questions:
Q.1. Which of the following is a quadratic equation?
(a) x2 + 2x + 1 = (4 – x)2 + 3
(b) –2x2 = (5 – x)(2x-(2/5))
(c) (k + 1) x2 + (3/2) x = 7, where k = –1
(d) x3 – x2 = (x – 1)3
... | HuggingFaceTB/finemath | |
# A car repair bill was \$441. This included \$153 for parts and four hours of labor . Find the hourly r
Discussion in 'Calculator Requests' started by math_celebrity, Oct 4, 2019.
Tags:
A car repair bill was \$441. This included \$153 for parts and four hours of labor . Find the hourly rate I was charge for labor
... | HuggingFaceTB/finemath | |
# math
A cylindrical tank is lying horizontally on the ground, its diameter is 16 feet, its length is 25 feet, the depth of the water in the tank is 5 feet. How many gallons of water are in the tank? How many more gallons of water will it take to fill in the tank?
1. 👍
2. 👎
3. 👁
1. A cylindrical gasoline tank is 5... | HuggingFaceTB/finemath | |
# Applying the Mean Value Theorem to conclude a function has a zero
Consider the function $f$ given by $f(x)=(x-2)^4\cos(x^2-4x+4)$. Use the Mean Value Theorem to show that $f'$ has a zero on the interval on $[1,3]$.
I notice that to do this we must show $f'(c)=0$ where $c$ is real number in the interval $[1,3]$. Now... | HuggingFaceTB/finemath | |
# Search by Topic
#### Resources tagged with Working systematically similar to Number Balance:
Filter by: Content type:
Stage:
Challenge level:
### There are 320 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
### One to Fifteen
##### Stage: 2 Challenge Level:
Can ... | HuggingFaceTB/finemath | |
## How to find the Greatest Common Factor of 18 and 24?
There are many methods we can apply to calculate the GCF of 18 and 24.
In our first method, we'll find out the prime factorisation of the 18 and 24 numbers.
In our second method, we'll create a list of all the factors of the 18 and 24 numbers.
These are the n... | HuggingFaceTB/finemath | |
1. ## Proof
in triangle ABC The point P lies on the side BC so that AB+BP=AC+CP ,and the point Q lies on the side AC so that:BA+AQ=BC+CQ and the point R lies on the side AB so that:CB+BR=CA+AR .How to prove that the lines AP,BQ,CR are meet
2. ## Re: Proof
Suppose AR = a, RB = b, BP = c, PC = d, CQ = e, QA = f. From ... | HuggingFaceTB/finemath | |
## Two identical disks, with rotational inertia I (= 1/2 MR2), roll without slipping across a horizontal floor and then up inclines. Disk A rol
Question
Two identical disks, with rotational inertia I (= 1/2 MR2), roll without slipping across a horizontal floor and then up inclines. Disk A rolls up its incline without... | HuggingFaceTB/finemath | |
Because the slopes of perpendicular lines (neither of which is vertical) are negative reciprocals of one another, the slope of the normal line to the graph of f(x) is â1/ fâ²(x). Analyze derivatives of functions at specific points as the slope of the lines tangent to the functions' graphs at those points. Now we rea... | HuggingFaceTB/finemath | |
# Question Video: Finding the Dimensions of a Rectangle with Maximum Area given Its Perimeter Using Differentiation Mathematics • Higher Education
Find the dimensions of the rectangular corral producing the greatest enclosed area given 200 feet of fencing.
03:56
### Video Transcript
Find the dimensions of the recta... | HuggingFaceTB/finemath | |
# Rotatable matrix, its eigenvalues and eigenvectors
We say that a real matrix is rotatable iff after turning it clockwise on $90^{\circ}$ it doesn't change.
I'm interesting about eigenvalues and eigenvectors (belonging to non-zero eigenvalues) of such type of matrices. For example, it is not hard to show that for ev... | HuggingFaceTB/finemath | |
## Pythagorean triangles – shortest leg, longest leg
Find all values of a positive integer constant $n$ such that
$x^2 \; + \; n \,x$ and $n \,x \; + \; n$
describe the two legs of a Pythagorean triangle for every positive integer value of $x$.
Let n = 2
Then,
$a \; = \; x^2 \; + \; 2 \, x$
$b \... | HuggingFaceTB/finemath | |
Wednesday, 12 November 2014
Chapter 10. Mensuration CBSE Class VI (6th) Mathematics | Exercise 10.3 - Solutions
Things to remember...
• Area of a rectangle = length × breadth
• Area of the square = side × side
Question 1. Find the areas of the rectangles whose sides are :
(a) 3 cm and 4 cm
(b) 12 m and 21 m
(c) 2 km ... | HuggingFaceTB/finemath | |
×
×
# Function to return the value of x y for x, y 1. Power
ISBN: 9781429215107 256
## Solution for problem 5 Chapter 2.3
Mathematical Structures for Computer Science | 7th Edition
• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual tea... | HuggingFaceTB/finemath | |
{[ promptMessage ]}
Bookmark it
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# G9 - The Conditions for Equilibrium Expect static...
This preview shows pages 1–5. Sign up to view the full content.
The Conditions for Equilibrium Expect static equilibrium whenever aceleration vector a = { a x ; a y ; a z } and angular acceleration vector α a... | HuggingFaceTB/finemath | |
# Difference between revisions of "2002 AMC 12B Problems/Problem 10"
## Problem
How many different integers can be expressed as the sum of three distinct members of the set $\{1,4,7,10,13,16,19\}$? $\text{(A)}\ 13 \qquad \text{(B)}\ 16 \qquad \text{(C)}\ 24 \qquad \text{(D)}\ 30 \qquad \text{(E)}\ 35$
## Solution 1
... | HuggingFaceTB/finemath | |
# Why is it defined that $(-1)!!=1$?
Why is it defined that $(-1)!!$ equal to $1$, where $!!$ is the double factorial?
I've only seen it defined that $(-1)!!=1$, but I don't see why it should be so.
• A better question might be "Why is $(-1)!!$ defined to be $1$?" – robjohn Feb 27 '15 at 9:03
• @robjohn I agree. Tha... | HuggingFaceTB/finemath | |
# 15. Floating Point Arithmetic: Issues and Limitations¶
Floating-point numbers are represented in computer hardware as base 2 (binary) fractions. For example, the decimal fraction
```0.125
```
has value 1/10 + 2/100 + 5/1000, and in the same way the binary fraction
```0.001
```
has value 0/2 + 0/4 + 1/8. These tw... | HuggingFaceTB/finemath | |
# Difference between revisions of "Brahmagupta's Formula"
Brahmagupta's Formula is a formula for determining the area of a cyclic quadrilateral given only the four side lengths.
## Definition
Given a cyclic quadrilateral with side lengths ${a}$, ${b}$, ${c}$, ${d}$, the area ${K}$ can be found as:
$$K = \sqrt{(s-a)... | HuggingFaceTB/finemath | |
Question
# In the following figure, ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, then: area of(△BPC) = 13 area of (△DPQ) area of(△BPC) = 38area of (△DPQ) area of(△BPC) = 14 area of (△DPQ) area of(△BPC) = area of (△DPQ)
Solution
## The correct option is D are... | HuggingFaceTB/finemath | |
Home » Powers of 6 » 6 to the 40th Power
# 6 to the 40th Power
Welcome to 6 to the 40th power, our post about the mathematical operation exponentiation of 6 to the power of 40.
If you have been looking for 6 to the fortieth power, or if you have been wondering about 6 exponent 40, then you also have come to the righ... | HuggingFaceTB/finemath | |
## Encyclopedia > Union (sets)
Article Content
# Union (set theory)
Redirected from Union (sets)
In set theory and other branches of mathematics, the union of some sets is the set that contains everything that belongs to any of the sets, but nothing else.
If A and B are sets, then the union of A and B is the set... | HuggingFaceTB/finemath | |
Learning Library
# Linking Line Plots and Fractions
no ratings yet
Do you need extra help for EL students? Try the Language About Line Plots pre-lesson.
No standards associated with this content.
No standards associated with this content.
Which set of standards are you looking for?
Do you need extra help for EL s... | HuggingFaceTB/finemath | |
# Maximum sum of all elements of array after performing given operations
Given an array of integers. The task is to find the maximum sum of all the elements of the array after performing the given two operations once each.
The operations are:
1. Select some(possibly none) continuous elements from the beginning of the... | HuggingFaceTB/finemath | |
posted by on .
use backtracking to solve each e
quations ?.
2x
+1=9, 7k-3=32, 5(n-8)=25 2(2t-1)=14
8x-1=63 ,2x-5=15,
Okay so
2x+1=9
We move the 1 over to the other side of the equal sign, which means the equation now reads
2x=9-1
solve this
2x=8
now we divide both sides by 2 (its the multiplier of x and we wa... | HuggingFaceTB/finemath | |
How do you get 364 gifts in the 12 days of Christmas?
We add 1 + 3 + 6 + 10 + 15 + 21 + 28 + 36 + 45 + 55 + 66 + 78 = 364 gifts. We are adding the triangular numbers. The triangular numbers can be found in Pascal’s triangle, so we can use Pascal’s triangle.
How many gifts in all did the true love send to his lover in... | HuggingFaceTB/finemath | |
• Create Account
## Help needed setting up camera transform
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Guest, the last post of this topic is over 60 days old and at this point you may not reply in this topic. If you wish to continue this conversation start a new topic.
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### #1kdtop Members
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How is -5 and 1/5 multiplicative inverses
Sep 13, 2016
#2
+21917
+5
-5 and 1/5 aren't multiplicative inverses (because their product is -1 not 1):
5 and 1/5 are multiplicative inverses (because their product is 1):
-5 and -1/5 are multiplicative inverses (because their product is 1... | HuggingFaceTB/finemath | |
# How do you calculate the ∆v required to increase apoapsis to a certain height?
To calculate the ∆v needed to increase our apoapsis from a low orbit of 100km to 400km, we find the velocity at 100km using the semi major axis (which is 250km, in this case), and then find the difference between our current velocity, and... | HuggingFaceTB/finemath | |
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A088720 Unique monotone sequence satisfying a(a(a(n))) = 2n. 3
4, 5, 6, 8, 9, 10, 11, 12, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 28... | HuggingFaceTB/finemath | |
# If log7 (a) + loga (7) = 2, what is a?
justaguide | College Teacher | (Level 2) Distinguished Educator
Posted on
We have log (7) a + log (a) 7 = 2
We use the relation for logarithms that log a + log b = log (a*b) and log (a) b = 1 / log(b) a.
log (7) a + log (a) 7 = 2
=> log (7) a + 1/ log (7) a = 2
=> [log ... | HuggingFaceTB/finemath | |
## DEV Community # BIG O'NOTATION
Big O notation is one of the most fundamental tools for computer science students to analyze the time and space complexity of an algorithm.
By the end of this article, you'll thoroughly understand Big O notation.
Genrally, there is always more than one way to solve a problem in compu... | HuggingFaceTB/finemath | |
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[–] 5 points6 points (1 child)
You're assuming that the task can be split easily.
Techniques like this are very common in solving mathematical problems that can be easily split up this way.
But most things a computer does, it does by doing one thing, then the next, then the next. And it may not be... | HuggingFaceTB/finemath | |
For aspirants looking toward a flourishing career in law, the CLAT exam is significant. Clearing CLAT will get you admission to the top law institutes in the country. However, to get good scores in CLAT, you must have a good grip over the Maths section, which is an important part of the exam.
Most students find the Ma... | HuggingFaceTB/finemath | |
# CAT Quantitative Aptitude Questions | CAT Algebra - Inequalities questions
###### CAT Questions | Algebra | Inequalities - Max and Min Values CAT Questions
The question is about maximum and minimun value. Our task is to maximize and minimize the given inequality. Inequalities are crucial to understand many topics t... | HuggingFaceTB/finemath | |
Solution Show Solution. Consider a line segment $$\overline{AB}$$. For example, given the point = 6 5 + 8 5, we can calculate the modulus as follows: | | = 6 5 + 8 5 = √ 4 = 2. The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus. The locus of points is a curve or... | HuggingFaceTB/finemath | |
# Abhenries to Megahenries Conversion
Enter the electrical inductance in abhenries below to get the value converted to megahenries.
Results in Megahenries: 1 abH = 1.0E-15 MH
Hint: use a scientific notation calculator to convert E notation to decimal
## How to Convert Abhenries to Megahenries
To convert an abhenry ... | HuggingFaceTB/finemath | |
Probability Seminar, Statistical Laboratory
# Probability Seminar, Statistical Laboratory
### Lent 2009
Date Speaker Title Notes January 19 Harald Oberhauser (Cambridge). "Towards a (rough) pathwise theory of fully non-linear stochastic partial differential equations" (abstract) January 26. Nathanael Berestycki (Ca... | open-web-math/open-web-math | |
# Math
posted by .
1.
If a number is not a rational number, then it is _____. (1 point)
an integer
an irrational number
a whole number
2.
A picture frame is 12 inches long and 9 inches wide. In inches, what is the diagonal length of the picture frame? (1 point)
21
15
8
6
3.
Which number is a perfect cube? (1 poin... | HuggingFaceTB/finemath | |
Question Video: Calculating the pH of a Solution with a Given Hydronium Ion Concentration | Nagwa Question Video: Calculating the pH of a Solution with a Given Hydronium Ion Concentration | Nagwa
# Question Video: Calculating the pH of a Solution with a Given Hydronium Ion Concentration Chemistry • Third Year of Secon... | HuggingFaceTB/finemath | |
Presentation is loading. Please wait. # MOTION Standards Standards : S8P3 – Investigate the relationship between force, mass, and the motion of objects. S8P3a – Demonstrate the effect of balanced.
## Presentation on theme: "MOTION Standards Standards : S8P3 – Investigate the relationship between force, mass, and the m... | HuggingFaceTB/finemath | |
• Grade Range: 7-8
• Subject: Math
### 19 OnTRACK Grade 7 Math: Proportionality
Students will learn to use proportional relationships to describe dilations; to explain proportional and non-proportional relationships involving slope; and to use proportional and non-proportional relationships to develop foundational co... | HuggingFaceTB/finemath | |
# How to calculate quantity of steel in slab
Friends to day I am going to teach you that how to calculate quantity of steel in slab. Most of people bring more steel which waste. Now in this post I will give complete guide that how can you calculate quantity of steel in slab. This process is for every type of slab. Sla... | HuggingFaceTB/finemath | |
Vectors
Question
# A bird moves from point (1, -2) to (4, 2). If the speed of the bird is 10 m/sec, then the velocity vector of the bird is
Moderate
Solution
## $\mathrm{v}=|\stackrel{\to }{\mathrm{v}}|\cdot \stackrel{^}{\mathrm{r}}=10\cdot \frac{\left(3\stackrel{^}{\mathrm{i}}+4\stackrel{^}{\mathrm{j}}\right)}{|3\s... | HuggingFaceTB/finemath | |
Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and... | HuggingFaceTB/finemath | |
# Jointly distributed Random variables Multivariate distributions Discrete Random
• Slides: 49 Jointly distributed Random variables Multivariate distributions Discrete Random Variables The joint probability function; p(x, y) = P[X = x, Y = y] Continuous Random Variables Definition: Two random variable are said to hav... | HuggingFaceTB/finemath | |
# CW complex
(Redirected from Cell complex)
A CW complex is a kind of a topological space that is particularly important in algebraic topology.[1] It was introduced by J. H. C. Whitehead[2] to meet the needs of homotopy theory. This class of spaces is broader and has some better categorical properties than simplicial... | open-web-math/open-web-math | |
# Permutation and Combination problem
## Homework Statement
The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball is ...
## The Attempt at a Solution
I began by finding the number of ways of distributing 5 balls among 3 people --... | HuggingFaceTB/finemath | |
# Science 10
A person hits a 45-g golf ball. The ball comes down on a tree root and bounces straight up with an initial speed of 14.0 m/s. Determine the height the ball will rise after the bounce
The equation is
height= 1/2 velocity^2 / g
where g is 9.8m/s^2
1. 👍
2. 👎
3. 👁
1. 5677
1. 👍
2. 👎
2. mgh=1/2mv^2
g... | HuggingFaceTB/finemath | |
## rational number example
Numbers that are not rational are called irrational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. Multiply each side of the equation by 12. The numerator or the denominator can be positive or negative, as long as the denominator is n... | HuggingFaceTB/finemath | |
## Converting metres & centimetres, length, area and volume
Many people incorrectly assume that as there are 100 cm in a metre then there must also be 100 cm2 in 1 m2 and 100 cm3 and 1 m3. Working through the pictures below should convince you that there are:
100 cm in 1 m but
10,000 cm2 in 1 m2
and 1,000,000 cm3 in ... | HuggingFaceTB/finemath | |
Why do $\mathbb{C}$ and $\mathbb{H}$ generate all of $M_2(\mathbb{C})$?
For this question, I'm identifying the quaternions $\mathbb{H}$ as a subring of $M_2(\mathbb{C})$, so I view them as the set of matrices of form $$\begin{pmatrix} a & b \\ -\bar{b} & \bar{a} \end{pmatrix}.$$
I'm also viewing $\mathbb{C}$ as the s... | HuggingFaceTB/finemath | |
# How do you solve |2.3 - 5.7x| = 11.4?
Mar 13, 2018
Find the solutions of x that give you $\pm 11.4$ inside the absolute value bars. For that scenario, x=-1.5965 and x=2.4035
#### Explanation:
Because we're dealing with an absolute value, x can have two solutions since:
$\left\mid 11.4 \right\mid = 11.4$ and $\le... | HuggingFaceTB/finemath | |
true
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Example of Kinetic Energy in Action: A Pendulum Introduction: In various real-li... | HuggingFaceTB/finemath | |
# Solve the following :
Question:
A block of weight $100 \mathrm{~N}$ is slowly slid up on a smooth incline of inclination $37^{\circ}$ by a person. Calculate the work done by the person in moving the block through a distance of $2.0 \mathrm{~m}$, if the driving force is (a) parallel to the incline and (b) in the hor... | HuggingFaceTB/finemath |
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