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# Pre-Algebra : Area of a Triangle
## Example Questions
### Example Question #91 : Geometry
Find the area of a triangle in yards if the side lengths of the triangle are 36 inches, 3 feet, and 1 yard.
Explanation:
First convert all the dimensions to yards. There are 3 feet in 1 yard, and 12 inches in 1 foot.
The ... | HuggingFaceTB/finemath | |
Intermediate Algebra
# 11.1Distance and Midpoint Formulas; Circles
Intermediate Algebra11.1 Distance and Midpoint Formulas; Circles
## Learning Objectives
By the end of this section, you will be able to:
• Use the Distance Formula
• Use the Midpoint Formula
• Write the equation of a circle in standard form
• Graph ... | HuggingFaceTB/finemath | |
# Limit Point/Examples
## Examples of Limit Points
### End Points of Real Interval
The real number $a$ is a limit point of both the open real interval $\openint a b$ as well as of the closed real interval $\closedint a b$.
It is noted that $a \in \closedint a b$ but $a \notin \openint a b$.
### Union of Singleton ... | HuggingFaceTB/finemath | |
# Thread: Graph Theory: Arithmetic and Geometric Means
1. ## Graph Theory: Arithmetic and Geometric Means
Hi, I'm a little stuck on this question.
Part a) asks to prove that $\displaystyle $l = \sqrt{a^{2}+b^{2}+c^{2}}$$, where $\displaystyle $l$$ is the diagonal of a rectangular brick with sides of length a, b and ... | HuggingFaceTB/finemath | |
# Palindrome Number
Determine whether an integer is a palindrome. An integer is a palindrome when it reads the same backward as forward.
Example 1:
``````Input: 121
Output: true
``````
Example 2:
``````Input: -121
Output: false
Explanation: From left to right, it reads -121. From right to left, it becomes 121-. Th... | HuggingFaceTB/finemath | |
It is currently 21 Oct 2017, 02:02
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
we will pick new questions that match your level based o... | HuggingFaceTB/finemath | |
## Algebra 2 (1st Edition)
Published by McDougal Littell
# Chapter 12 Sequences and Series - 12.4 Find Sums of Infinite Geometric Series - 12.4 Exercises - Skill Practice - Page 823: 16
#### Answer
$\dfrac{-8}{5}$
#### Work Step by Step
Here, we have $a_n= a_1 r^{n-1}$ for the Geometric series. First term $a_1=-2... | HuggingFaceTB/finemath | |
1. ## Compound interest formula
Fred invests an amount of money in an account by paying r% compound interest per annum. The amount of money doubles after n years.
I'm aware of the compound interest formula A=P(1+r/100)^n however I have no idea how to change it according to n.
Would I start off along the lines of 2A=p... | HuggingFaceTB/finemath | |
# Why is signum function used to calculate Fourier transform of unit step function
I read in a standard textbook that the Fourier transform of unit impulse function is calculated with the help of approximations and signum function as the integration of unit impulse does not converge. What's so special about signum fun... | HuggingFaceTB/finemath | |
## 3733 Days From July 11, 2024
Want to figure out the date that is exactly three thousand seven hundred thirty three days from Jul 11, 2024 without counting?
Your starting date is July 11, 2024 so that means that 3733 days later would be September 30, 2034.
You can check this by using the date difference calculator... | HuggingFaceTB/finemath | |
### Derivatives of the trigonometric functions
In this section we'll derive the important derivatives of the trigonometric functions f(x) = sin(x), cos(x) and tan(x).
In doing so, we will need to rely upon the trigonometric limits we derived in another section. To remind you, those are copied here.
To get through t... | HuggingFaceTB/finemath | |
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Bookmark it
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ilovepdf.com_split_3
# ilovepdf.com_split_3 - 99 Question 317 A particle of mass m...
This preview shows pages 1–3. Sign up to view the full content.
99 Question 3–17 A particle of mass m is attached to an inextensible massless rope of length l as shown in Fig. ... | 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!)
A090116 a(n)=x is the least number such that x^2 is "surrounded" by two closest primes, prevprime(x^2) and nextprime(x^2), whose differ... | HuggingFaceTB/finemath | |
Question
Equation 2x2+5xy+3y2+6x+7y+4=0 represents a pair of straight lines. If their point of intersection is (h,k) find the value of h-k. __
Solution
It is given that equation 2x2+5xy+3y2+6x+7y+4=0 represents the pair of straight lines We can write this equation as quadratic equation in x We have, ... | HuggingFaceTB/finemath | |
# physics
A wave on a string has a wave function given by y(x, t) = (0.0210 m)sin[(6.91 m^−1)x + (2.38 s^−1)t
.
(a) What is the amplitude of the wave?
(b) What is the period of the wave?
(c) What is the wavelength of the wave?
(d) What is the speed of the wave?
1. 👍
2. 👎
3. 👁
1. The equation of the wave is
y(x... | HuggingFaceTB/finemath | |
# Solving One Step Equations - PowerPoint PPT Presentation Download Presentation Solving One Step Equations
Solving One Step Equations Download Presentation ## Solving One Step Equations
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentatio... | HuggingFaceTB/finemath | |
# Monthly Archives: July 2013
## Num3er 7312013 (July 31, 2013)
July 31 can be expressed as 731 The factors of 731 are: 1 17 43 731 The prime factors are: 17 * 43 731 = 3^6 … Continue reading
Posted in Math Beauty, Number Puzzles | Tagged , | Leave a comment
## Prime Num3ers P... | HuggingFaceTB/finemath | |
#### What is 80 percent of 466?
How much is 80 percent of 466? Use the calculator below to calculate a percentage, either as a percentage of a number, such as 80% of 466 or the percentage of 2 numbers. Change the numbers to calculate different amounts. Simply type into the input boxes and the answer will update.
## 8... | HuggingFaceTB/finemath | |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... | HuggingFaceTB/finemath | |
# Ultrametric space
In mathematics, an ultrametric space is a metric space in which the triangle inequality is strengthened to ${\displaystyle d(x,z)\leq \max \left\{d(x,y),d(y,z)\right\}}$. Sometimes the associated metric is also called a non-Archimedean metric or super-metric.
## Formal definition
An ultrametric o... | HuggingFaceTB/finemath | |
# The vapour pressure of water is 12.3kPa at 300 K. Calculate vapour pressure of 1 molal solution of a non-volatile solute in it.
Given: 1 molal solution means 1 mole of solute present in 1000g of water solvent)
Molecular weight of water = H2O = 1 × 2 + 16 = 18g/mol
No. of moles of water, n = given mass /molecular w... | HuggingFaceTB/finemath | |
# Math
posted by .
Choose the one alternative that best completes the statement or answers the question.
Solve the problem. Assume that simple interest is being calculated in each case. Round your answer to the nearest cent.
Martin takes out a simple-interest loan at 7.5 %. After 6 months, the amount of interest on... | HuggingFaceTB/finemath | |
# 24.4 Energy in electromagnetic waves (Page 2/6)
Page 2 / 6
${I}_{\text{ave}}=\frac{{\text{cB}}_{0}^{2}}{{2\mu }_{0}},$
where ${B}_{0}$ is the maximum magnetic field strength.
One more expression for ${I}_{\text{ave}}$ in terms of both electric and magnetic field strengths is useful. Substituting the fact that $c... | open-web-math/open-web-math | |
# Solving Quadratic Equations Using Square Roots Worksheet
In Free Printable Worksheets186 views
4.24 / 5 ( 141votes ) Top Suggestions Solving Quadratic Equations Using Square Roots Worksheet :
Solving Quadratic Equations Using Square Roots Worksheet Before we look at the new solution let s talk about why you want t... | HuggingFaceTB/finemath | |
## Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
(a) We can equate the distance traveled by David and Tina to find the time it takes Tina to pass David; $\frac{1}{2}at^2=v~t$ $t = \frac{2v}{a} = \frac{(2)(30~m/s)}{2.0~m/s^2}$ $t = 30~s$ We can find the distance that Tina ... | HuggingFaceTB/finemath | |
Subgroups of $G\times H$
Is it true that if $$G,H$$ are groups, then every subgroup $$S$$ of $$G\times H$$ can be written in the form $$S\cong S_G\times S_H$$, where $$S_G$$ and $$S_H$$ are subgroups of $$G$$ and $$H$$ respectively? That is, is $$S$$ isomorphic (not necessarily equal) to a direct product of subgroups ... | HuggingFaceTB/finemath | |
## Introduction
In this blog post, I would like to continue my series on “building from scratch.” I will discuss a linear classifier called Logistic Regression. This blog post covers the following topics,
1. Basics of a classifier
2. Decision Boundaries
3. Maximum Likelihood Principle
4. Logistic Regression Equation
... | HuggingFaceTB/finemath | |
# What Are Consecutive Numbers? - Definition & Examples
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Coming up next: Finding the Sum of Consecutive Numbers
### You're on a roll. Keep up the good work!
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• 0:04 What ... | HuggingFaceTB/finemath | |
Determine all primitive functions
• beyondlight
In summary: So you need to find a substitution that will allow you to use the chain rule. In this problem, the function inside the parentheses looks suspiciously like the derivative of part of the function you're integrating, so let's try using that as our substitution.L... | HuggingFaceTB/finemath | |
# Maximum of $f(x,y) = 1 - (x^2 + y^2)^{2/3}$
For the function
$f(x,y) = 1 - (x^2 + y^2)^{2/3}$
one has to find extrema and saddle points. Without applying much imagination, it is obvious that the global maximum is at $(0,0)$.
To prove that, I set up the Jacobian as
$$Df(x,y) = \left( -\frac{4}{3} x (x^2 y^2)^{-1/... | open-web-math/open-web-math | |
This triangle was among many o… One way to calculate the numbers without doing all the other rows, is to use combinations.. the first one is 100 choose 0= 1, the next is 100 choose 1=100, etc.. now to compute those you … When all the odd integers in Pascal's triangle are highlighted (black) and the remaining evens are ... | HuggingFaceTB/finemath | |
# 10 (divided) by 2 is 5
#### BLUE1308
##### Senior Member
Hello!
Excuse me, when we are talking about mathematics, especially divisions, is it possible to say: 10÷5 = 2
"Ten (divided) by five is/equals two"
Is it possible to omit the "divided"? Or do I have to use it always?
• #### GreenWhiteBlue
##### Senior M... | HuggingFaceTB/finemath | |
Advanced search
Browse ORBi by ORBi project The Open Access movement
ORBi is a project of
References of "Scuflaire, Richard" in Complete repository Arts & humanities Archaeology Art & art history Classical & oriental studies History Languages & linguistics Literature Performing arts Philosophy &... | open-web-math/open-web-math | |
# Customer opens an account in which the end of each month \$1000 is deposited. How much money will be accumulated after 7 years if the bank's interest rate is 4.5% per year?
The annual rate of interest of the account is 4.5%. It is not given if the interest is compounded every month or once in a year. Assuming that i... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## 70 percent of what number is 65?
65 is 70% of 92.86
#### Steps to solve "65 is 70 percent of what number?"
1. We have, 70% × x = 65
2. or, 70/100 × x = 65
3. Multiplying both sides by 100 and dividing both sides by 70,
we have x = 65 × 100/70
4. x = 92.86
If you are using a ... | HuggingFaceTB/finemath | |
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# Investigate various types of sugar and the way in which each of them dissolves at certain temperatures.
Extracts from this document...
Introduction
Dissolvin... | HuggingFaceTB/finemath | |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}{\| #1 \|}$$ $$\ne... | HuggingFaceTB/finemath | |
# Nonlinear inequality solver
Best of all, Nonlinear inequality solver is free to use, so there's no reason not to give it a try! We will give you answers to homework. ## The Best Nonlinear inequality solver
We'll provide some tips to help you select the best Nonlinear inequality solver for your needs. Partial fracti... | HuggingFaceTB/finemath | |
👉 Try now NerdPal! Our new math app on iOS and Android
Factor the expression $x-x^2+x^3-x^4$
Go!
Symbolic mode
Text mode
Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2
e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc
asin
acos
atan
acot
asec
acsc
sinh
cosh
tanh
cot... | HuggingFaceTB/finemath | |
Math- STATS 218
posted by .
When the following hypotheses are being tested at a level of significance of
aH0: m 100
Ha: m < 100
the null hypothesis will be rejected if the test statistic Z is
a. >Z
b. >Z
c. <Z
d. <100
• Math- STATS 218 -
You are lacking information on variability and level of significance used (... | HuggingFaceTB/finemath | |
# 13 rounded to the nearest tens
What is 13 rounded to the nearest tens? 13 rounded to the nearest tens is 10
Here we will show you how to round off 13 to the nearest tens with step by step detailed solution
## Rounding Numbers Calculator
Round
To
Rounding numbers means replacing that number with an approximate va... | HuggingFaceTB/finemath | |
Associated Topics || Dr. Math Home || Search Dr. Math
### Where to Put the Parentheses?
```
Date: 01/03/2002 at 20:44:23
From: Hennaysha Candler
Subject: Order of operations
I am stuck on where to put parentheses in a math expression to make
the expression true. I tried to use the guess-and-check strategy but
it wou... | HuggingFaceTB/finemath | |
Informative line
### Calculation Of Capacitance
Learn steps to capacitance of a capacitor calculation, practice to calculation of potential difference between charged shells and spherical & cylindrical capacitor.
# Steps to Calculate Capacitance of Capacitor
• Consider two oppositely charged conductors having magni... | HuggingFaceTB/finemath | |
# Car on a Banked Curve (no friction)
1. Jun 10, 2010
### stumped101
Hi,
If we have a car traveling in a circle on a banked curve without friction, the forces acting on the car would only be the normal force and gravitational force.
Using a x-y coordinate system, the horizontal component of normal (Nsintheta) prov... | HuggingFaceTB/finemath | |
If f(x) =-e^(2x-1) and g(x) = -3sec^2x^2 , what is f'(g(x)) ?
Jun 16, 2017
$f ' \left(g \left(x\right)\right) = \frac{1}{6 x} {e}^{2 x - 1} \cot {x}^{2} {\cos}^{2} {x}^{2}$
Explanation:
As $f \left(x\right) = - {e}^{2 x - 1}$ and $g \left(x\right) = - 3 {\sec}^{2} {x}^{2}$
$\frac{\mathrm{df}}{\mathrm{dx}} = - {e}... | HuggingFaceTB/finemath | |
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# Thirty Identical Cards Are Marked with Numbers 1 to 30. If One Card is Drawn at Random, Find the Probability that It Is: A Multiple of 3 Or 5 - ICSE Class 10 - Mathematics
ConceptType of Event - Complementry
#### Question
Thirty identical cards are marked with numbers 1 to 30. If one card i... | HuggingFaceTB/finemath | |
1. ## Intermediate Value Theorem
a) Let f :[a,b] --> [a,b] be continuous on [a,b]. Prove that f has a fixed point, i.e., prove that (exist) c in [a,b] such that f(c)=c
b) let f,g : [a,b]->[a,b] be two continuous function on [a,b] such that f(a)>or equal g(a) and f(b)<or equal g(a).
Prove that exist c in [a,b] such th... | HuggingFaceTB/finemath | |
# MAT 126 Week 2 DQ 2
This Tutorial was Purchased 0 Times and Rated No rating by Students like U.
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MAT 126 Week 2 DQ 2
This Discussion will help us learn to develop our own mathematical models, write down the equations and then solve the equations for unknown val... | HuggingFaceTB/finemath | |
# Maximum number of comparisons required for a list of 6 numbers
#### Joystar1977
##### Active member
The question asks me as follows: "What is the maximum number of comparisons required for a list of 6 numbers?
Is the correct answer as follows: The maximum number of comparisons required for a list of 6 numbers is 5... | HuggingFaceTB/finemath | |
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# A to Z of Excel Functions: The GAMMAINV Function
6 January 2020
Welcome back to our regular A to Z of Excel Functions blog. Today we look at the GAMMAINV function.
The GAMMAINV function
The Gamma distribution is widely used in engineering, scien... | HuggingFaceTB/finemath | |
Module3.5 Convexity Correction
Yield
Straight line is what we get with %ΔPB formula (underestimates when yield drops, over-estimates when rises)
Greater a bond’s convexity, the more valuable it is (because
price increases are more, and price declines are less.)
1
Not To Be Naïve about Duration
1. The duration D we... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from days to minutes is 1440, which means that 1 day is equal to 1440 minutes:
1 d = 1440 min
To convert 348 days into minutes we have to multiply 348 by the conversion factor in order to get the time amount from days to minutes. We can also form a simple proportion to cal... | HuggingFaceTB/finemath | |
# Introduction
Notes from CS 4104 with exercises and derivations from "Algorithm Design" by Kleinberg and Tardos.
## Glossary
Term Definition
Matching each man is paired with ≤ 1 woman and vice versa
Perfect Matching each man is paired with exactly 1 woman and vice versa
Rogue Couple a man and a woman who are not ma... | HuggingFaceTB/finemath | |
Cantor Sets
• Apr 15th 2011, 06:14 AM
mathematic
Cantor Sets
Consider g(x)=x^2sin(1/x) if x>0 and 0 if x<=0
1. a) Find g'(0)
b) Compute g'(x) for x not 0
c)Explain why, for every delta>0, g'(x) attains every value between 1 and -1 as ranges over the set (-delta,delta). Conclude that g'(x) is not continuous at x=0.
N... | HuggingFaceTB/finemath | |
What are the intercepts for the graphs of the equation #y=(x^2-49)/(7x^4)#? f(x) = x 3 - 4x 2 - 11x + 2 Calculus: Fundamental Theorem of Calculus A value of x that makes the equation equal to 0 is termed as zeros. Cancel the common factor of . A real number, r , is a zero of a function f , if f ( r ) = 0 . Find the pol... | HuggingFaceTB/finemath | |
# Perimeter and area of a polygon
What is the perimeter of a polygon? And what is the area?
Learn definitions and how to measure the perimeters and the areas.
## Notes
What is the perimeter of a polygon? And what is the area of a polygon?
Learn definitions and how to measure the perimeters and the areas of all the... | HuggingFaceTB/finemath | |
# 103415 (number)
103,415 (one hundred three thousand four hundred fifteen) is an odd six-digits composite number following 103414 and preceding 103416. In scientific notation, it is written as 1.03415 × 105. The sum of its digits is 14. It has a total of 4 prime factors and 16 positive divisors. There are 72,576 posi... | HuggingFaceTB/finemath | |
# 8114 (number)
8,114 (eight thousand one hundred fourteen) is an even four-digits composite number following 8113 and preceding 8115. In scientific notation, it is written as 8.114 × 103. The sum of its digits is 14. It has a total of 2 prime factors and 4 positive divisors. There are 4,056 positive integers (up to 8... | HuggingFaceTB/finemath | |
# The existence of a $k$-algebra automorphism
Let $$k$$ be an algebraically closed field and let $$\mathfrak m$$ be a maximal ideal in $$R=k[x_1,\dots,x_r]$$. Show that there is a $$k$$-algebra automorphism of $$R$$ taking $$\mathfrak m$$ to $$(x_1,\dots,x_r)$$.
Since $$k$$ is algebraically closed, every maximal idea... | open-web-math/open-web-math | |
Numerical Analysis Home
## Systems of Linear Equations: Gaussian Elimination
A system of linear equations with $$n$$ variables $$x_1,\ldots,x_n$$ and $$n$$ equations can be written as follows: $\begin{eqnarray*} {\color{blue}\begin{array}{ccccccccc} a_{11}x_1&+&a_{12}x_2&+&\cdots &+&a_{1n}x_n&=&b_1\\ a_{21}x_1&+&a_{2... | HuggingFaceTB/finemath | |
# Multiplying Decimals by Whole Numbers
14 teachers like this lesson
Print Lesson
## Objective
SWBAT multiply decimals by whole numbers.
#### Big Idea
Multiplying decimals is a life skilled used in purchasing goods, cooking, and spending money.
## DO NOW
15 minutes
Students will be completing a memory box. Giv... | HuggingFaceTB/finemath | |
Bright, Brighter, Brightest
Presentation on theme: "Bright, Brighter, Brightest"— Presentation transcript:
Bright, Brighter, Brightest
Is it Bright, Brighter, or the Brightest?
The purpose of this lab was to calculate the levels of light given off by a three level light bulb.
Bright, Brighter, Brightest Lab
During ... | HuggingFaceTB/finemath | |
# Centripetal Force
```Centripetal Force
Experiment 4
Objective: To examine the concepts of centripetal acceleration and centripetal force
experimentally.
DISCUSSION:
When an object travels in a straight line at a constant velocity its acceleration is zero. When
an object travels at a constant velocity on a circular p... | HuggingFaceTB/finemath | |
# Define a simple discrete probability distribution
I know the command: ProbabilityDistribution
I look at the detail of it, it seems a little troublesome.
For a very simple situation:
n: 0 1 2
p(x=n) 0.3 0.4 0.3
how to define this a simple discrete probability distribution
## 1 An... | HuggingFaceTB/finemath | |
# Question about the mole [duplicate]
Why is it to get from x amu---->xgram you need a mole of the substance.
I mean I underdstand this to be the case for Hydrogen. Why does a mole of a substance CONVERT the substances amu into grams?
• Well, the moles of all elements have different weights too, so what's the proble... | HuggingFaceTB/finemath | |
# Need to calculate an Average please!!
#### Ted210
##### New Member
Hello,
I hope someone can help!
I need to calculate an average for a questionnaire.
There is a scale of 1-10 about how much they liked a product (1 being not and 10 being liked it a lot)
Now I need an average of what the people said. (e.g. 6.7)
... | HuggingFaceTB/finemath | |
# Analyzing with Anova
FratBro23
Category:
Statistics
Price: \$5 USD
Question description
Assignment 2: Analyzing with ANOVA
Submit your answers to the following questions using the ANOVA source table below. The table depicts a two-way ANOVA in which gender has two groups (male and female), marital status has three... | HuggingFaceTB/finemath | |
# Prove that $\lim_{n \rightarrow \infty} \int_{\Omega} |f_n - f|^{p} dm=0$.
I am stuck on the following problem.
Let $1<p<\infty$ and let $\Omega \subset \mathbb{R}$. Let {$f_n$} be a sequence of measurable functions on $\Omega$ such that $\lim_{n \rightarrow \infty} f_n= f$ (a.e.) on $\Omega$. Suppose there exists ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Reduce 263/3000 to lowest terms
263/3000 is already in the simplest form. It can be written as 0.087667 in decimal form (rounded to 6 decimal places).
#### Steps to simplifying fractions
1. Find the GCD (or HCF) of numerator and denominator
GCD of 263 and 3000 is 1
2. Divide ... | HuggingFaceTB/finemath | |
WHT
# Similarity Examples | Similarity Example Problems | Similarity | Geometry | Khan Academy
Subscribe Here
535
681,625
## Similarity Example Problems | Similarity | Geometry | Khan Academy
Transcript:
In the first task we want to find segment length, segment CE. We have these two parallel lines. AB is paralle... | HuggingFaceTB/finemath | |
# Grokking the Coding Interview's Two Pointers
Pair with target sum, Remove duplicates, Squaring a sorted array, Dutch national flag problem
### 1. Given an array of sorted numbers and a target sum, find a pair in the array whose sum is equal to the given target.
Example:
``````- Input: []int{1, 2, 6, 8, 16, 26}, t... | HuggingFaceTB/finemath | |
# Solved (Free): It is known that the duration of consultation with patients in a psychiatry clinic is normally distributed with an average of 35 minutes
#### ByDr. Raju Chaudhari
Apr 16, 2021
It is known that the duration of consultation with patients in a psychiatry clinic is normally distributed with an average o... | HuggingFaceTB/finemath | |
# Mathematics and Computation
## A blog about mathematics for computers
Postsby categoryby yearall
# Posts in the year 2014
### A HoTT PhD position in Ljubljana
I am looking for a PhD student in mathematics. Full tuition & stipend will be provided for a period of three years, which is also the official length of t... | open-web-math/open-web-math | |
# Definition: 7.20: Proportional Numbers
Numbers are proportional when the first is the same multiple, or the same part, or the same parts, of the second that the third (is) of the fourth.
### Modern Definition
See rational numbers.
### Notes
$a\cdot d = b\cdot c.$
• Please note that this is exactly the case if t... | HuggingFaceTB/finemath | |
# Range - Concepts such as mean, median, mode and range
D
#### Don Winton
Found this interesting:
-------Snip-------
I am taking my first ever statistics course. However as an elementary teacher, I did teach such concepts as mean, median, mode and range. In this course we learned that range is the highest score/dat... | HuggingFaceTB/finemath | |
# Al invests $5,500, at 6% interest, compounded monthly for one year. Calculate the annual percentage yield for his investment. Al invests$5,500, at 6% interest, compounded monthly for one year. Calculate the annual percentage yield for his investment.
Al invests $5,500, at 6% interest, compounded monthly for one year... | HuggingFaceTB/finemath | |
# Homework Question
#### jillianleab
##### New Member
Hi everyone:
I'm working on a homework assignment and I am having some trouble with one of the questions. I just don't know which formula to use! Here it is:
In one town, 79% of adults have health insurance. What is the probability that 7 adults selected at rand... | HuggingFaceTB/finemath | |
algorithms
# Algorithms in English
If the rightmost point of one interval is to the right of the leftmost point of the other interval, and if the leftmost point of the first interval is to the left of the rightmost point of the other interval, then and only then do those two intervals overlap.
There are some assumpt... | HuggingFaceTB/finemath | |
Associated Topics || Dr. Math Home || Search Dr. Math
### Formula to Calculate Overlap of Two Arcs on a Circle
```Date: 05/27/2005 at 15:55:22
Subject: Intersecting arcs on a circle
Hi there,
I have a circle and I draw an arc from 0 to 45 degrees with a blue
pen, and another from 40 to 60 degrees with a red pen. N... | HuggingFaceTB/finemath | |
Lesson 4.1.1: Multiplying and Dividing Polynomial Expressions: For this lesson there are 12 steps for you to take. 4x2 + x 12. x2 – 29 x + 100 13. x2 – x – 6 14. Identify quadratic expressions in standard form. 1. Factoring Polynomials when a = 1 and when a ≠ 1 Learn with flashcards, games, and more — for free. 3x2 – 2... | HuggingFaceTB/finemath | |
## ← Direct Variation Practice 2 - Visualizing Algebra
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### Get Embed Code x Embed video Use the following code to embed this video. See our usage guide for more details on embedding. Paste this in your document somewhere (closest to the closing body tag is preferable): <script type="text/java... | HuggingFaceTB/finemath | |
Chemistry news, articles, and more
## Spectroscopy of element 115 decay chains
The full document is not yet published but a paper accepted 7 Aug 2013 entitled Spectroscopy of element 115 decay chains by D. Rudolph et al. provides additional evidence for element 115:
A high-resolution $\alpha$, $X$-ray and $\gamma$-r... | open-web-math/open-web-math | |
1) It is linear because the voltage increases by 0.41 volts every 2.5 minutes.
2) It is linear because the voltage decreases by 0.8 volts every 0.4 minutes.
3) It is exponential because the voltage decreases by 20% every 2.5 minutes.
4) It is exponential because the voltage increases by 20% every 0.4 minutes.
Solut... | HuggingFaceTB/finemath | |
+0
0
78
3
What is the least integer greater than $\sqrt{300}$?
Jul 6, 2021
#1
+2
Think of the perfect squares around 300. 17^2 = 289, 18^2 = 324. $$\sqrt{324} = 18$$ as we know, so 18 is the least integer greater than $\sqrt{300}$
Jul 6, 2021
#1
+2
Think of the perfect squares around 300. 17^2 = 289, 18^2 = 324... | HuggingFaceTB/finemath | |
A way of doing math. Normal people do math in infix notation, which results in problems with operator precedence and introduces the need for parentheses. Here are some examples of infix notation:
(2 + 3 ) * 5
((4 -2) + (3 * 2))
3 + (2 - ((6 / 3) * 2))
Here are the same examples in postfix notation. Note the lack of p... | HuggingFaceTB/finemath | |
Categories
# Length of side of Triangle | PRMO II 2019 | Question 28
Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.
Try this beautiful problem from the Pre-RMO II, 2019, Question 28, based on Length of side of triangle.
#... | HuggingFaceTB/finemath | |
# Quadrilaterals : Definition and its Types
In this chapter we will discuss basics of quadrilateral and its types.
Important properties of quadrilateral are also discussed in the chapter so make sure you remember it.
Any two dimensional closed shape with 4 sides are known as Quadrilaterals.
From the above examples ... | HuggingFaceTB/finemath | |
# Energy & Momentum Thinking Problem
Nicolaus
## Homework Statement
Two boxes each of mass 12kg are raised 1.8m to a shelf. The first one is lifted and the second is pushed up a smooth ramp. If the applied force on the second box is 48N, calculate the angle between the ramp and the ground.
## Homework Equations
W ... | HuggingFaceTB/finemath | |
# [isabelle] Problem with Int.int_ge_induct
From my previous posts you may be aware that I am still looking for the best possible way to do the kind of mathematical induction that is typically taught first in a course on discrete mathematics. After looking over the various replies I have gotten, I would like very much... | HuggingFaceTB/finemath | |
Wednesday, February 8, 2023, 10:40 AM
Site: Learnbps
Course: BPSS (MAT) Mathematics Standards (S-MAT)
M
# Geometry
## Narrative for the (G) Geometry
Grade 4 students describe, analyze, compare, and classify two-dimensional shapes by their properties, including explicit use of angle sizes and the related geometric pr... | HuggingFaceTB/finemath | |
< 1 >
### Torricelli's trumpet
Torricelli's trumpet (also Gabriel's horn) has a finite volume and an infinite surface.
##### Explanation
We start from the function and use the graph, in which we avoid dividing by zero. We rotate the function around the x-axis and calculate the volume and the surface between ... | HuggingFaceTB/finemath | |
# Relation between linear transformations and traces
a) Let $A \in M_n (K)$. We denote $f_A$ the linear form defined, for every $X \in M_n (K)$, by $f_A(X)=Tr(AX)$. Show that the function $f$ which maps $A \in M_n (K)$ to $f_A$ is an isomorphism between $M_n (K)$ and its dual.
b) Let $f: M_n (K) \rightarrow K$ be a l... | open-web-math/open-web-math | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A259907 Fifth differences of 7th powers (A001015). 1
1, 123, 1557, 6719, 16800, 31920, 52080, 77280, 107520, 142800, 183120, 228480, 278880, 334320, 394800, 460320, 530880,... | HuggingFaceTB/finemath | |
# Answers
Solutions by everydaycalculation.com
## Reduce 336/108 to lowest terms
The simplest form of 336/108 is 28/9.
#### Steps to simplifying fractions
1. Find the GCD (or HCF) of numerator and denominator
GCD of 336 and 108 is 12
2. Divide both the numerator and denominator by the GCD
336 ÷ 12/108 ÷ 12
3. Redu... | HuggingFaceTB/finemath | |
## Understanding Math: Conclusion
Click to read the earlier posts in this series: Understanding Math, Part 1: A Cultural Problem; Understanding Math, Part 2: What Is Your Worldview?; Understanding Math, Part 3: Is There Really a Difference?; Understanding Math, Part 4: Area of a Rectangle; Understanding Math, Part 5: ... | HuggingFaceTB/finemath | |
1. ## Trig Substitution Integral
I'm really spinning my wheels on this one:
$\int^2_{\sqrt{2}} \frac{1}{t^3\sqrt{t^2-1}}dt$
let $t = \sec \theta$ then $dt = \sec\theta \tan\theta$
I know that substituting $\sec\theta$ for $\sqrt{t^2-1}$ yields $\tan\theta$. This is what I get next (general antiderivative):
$\int \... | HuggingFaceTB/finemath | |
NEW
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Experience the best way to solve previous year questions with mock tests (very detailed analysis), bookmark your favourite questions, practice etc...
1
AIEEE 2011
The shortest distance between line $$y-x=1$$ and curve $$x = {y^2}$$ is
A
$${{3\sqrt 2 } \over 8}$$
B
$${8 \over {3\sqrt 2 }}$$
C
$$... | open-web-math/open-web-math | |
1
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Question
# All five faces of a regular pyramid with a square base are found to be of the same area. The height of the pyramid is 3 cm. What is the minimum total area (integral) of all its surfaces?
A
102 sq cm
No worries! We‘ve got your back. Try BY... | HuggingFaceTB/finemath | |
Optimization - Maple Features - Maplesoft # Maple
Optimization
Maple provides a collection of commands for numerically solving optimization problems, which involve finding the minimum or maximum of an objective function, possibly subject to constraints. The Optimization package enables you to solve linear programs (... | HuggingFaceTB/finemath | |
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### MEAP Preparation - Grade 5 Mathematics2.1 Measurement Facts Table
Measurement Facts U.S. Customary System Metric System Units of Length 1 foot = 12 inches1 yard = ... | HuggingFaceTB/finemath |
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