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# Lecture 3: Digital Audio Systems Architectures and Audio Callback
By the end of this lecture, you should be able to produce sound with your LyraT and have a basic understanding of the software and hardware architecture of embedded audio systems.
## Basic Architecture of a Digital Audio System
All digital audio sys... | open-web-math/open-web-math | |
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Stats
# Stats - Section 8 3 z Test for a Mean Chapter 8 Hypothesis...
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Mathematics Worksheet
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How Does the Process of Natural Selection Compare to Society?
DIRECTIONS: Use the T-c... | HuggingFaceTB/finemath | |
# Proof of Cotangent Formula cot (α + β)
We will learn step-by-step the proof of cotangent formula cot (α + β).
Prove that, cot (α + β) = $$\frac{cot α cot β - 1}{cot β - cot α}$$.
Proof: cot (α + β) = $$\frac{cos (α + β)}{sin (α + β)}$$
= $$\frac{cos α cos β - sin α sin β}{sin α cos β + cos α sin β}$$
= $$\frac{\... | HuggingFaceTB/finemath | |
## Weighing coins! (electronic scale)
A forum for good logic/math puzzles.
Moderators: jestingrabbit, Moderators General, Prelates
Nab
Posts: 26
Joined: Wed Jun 20, 2007 8:03 am UTC
### Weighing coins! (electronic scale)
Okay. You have 5 coins. You have one scale. One of the coins is a fake and of a different mass... | HuggingFaceTB/finemath | |
FutureStarr
A 2 7 Calculator
2 7 Calculator
Number
via GIPHY
An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple can be more efficient and is more li... | HuggingFaceTB/finemath | |
+0
# Find the Angles
+1
165
3
In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of angle C is 17 less than 5 times the size of angle A
Oct 8, 2018
#1
+4296
+2
We have: \(b=4a, c=5a-17, a=a\).
Since the interior angles in a triangle sum to \(180^\circ\), we have \(4a+5a-17+a=180, 1... | HuggingFaceTB/finemath | |
Amount
From
To
# 1.99 watt hours to megawatt hours
How many megawatt hours in 1.99 watt hours? 1.99 watt hours is equal to 1.99E-6 megawatt hours.
This page provides you how to convert between watt hours and megawatt hours with conversion factor.
# How to convert 1.99 W*h to MW*h?
To convert 1.99 W*h into MW*h, fo... | HuggingFaceTB/finemath | |
# Lesson 1
Decimal Numbers
## Warm-up: Notice and Wonder: Shaded Grid (10 minutes)
### Narrative
The purpose of this warm-up is to elicit the use of a square grid to represent fractions in hundredths. Both the representation and the fractions will be useful later in the lesson, when students write fractions as deci... | HuggingFaceTB/finemath | |
How do you write two and a half?
How do you write two and a half?
it will be five over two . so 2 and a half can be written as 5 over 2 .
How do you write 2 and a half in a fraction?
You would say "two and one half." The other format is an improper fraction where the numerator is greater than the denominator (5/2).... | HuggingFaceTB/finemath | |
'Coding has over 700 languages', '67% of programming jobs aren’t in the technology industry', 'Coding is behind almost everything that is powered by electricity'
Topics
# Flatten A Linked List
Easy
0/40
Average time to solve is 15m
Contributed by
## Problem statement
You are given a linked list containing 'n' 'head... | HuggingFaceTB/finemath | |
# Why does inductor current lag the applied voltage at its terminal by 90 degrees?
I studied electromagnetism and I am currently working with Inductors.
I could not figure out the physical reason based on electromagnetics on why inductor current lags the applied voltage by 90 degrees?
Everywhere I find the Formula a... | HuggingFaceTB/finemath | |
Q
# Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method : (i) If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 1 / 2 if we
Q2. Form the pair of linear equations in the following problems... | HuggingFaceTB/finemath | |
# Life Path Number Calculator.
This is an online tool that allows you to calculate your Life Path Number.
In Numerology, it is believed that the Life Path Number reveals a person's greater purpose, as well their strengths and weaknesses.
Wednesday, January 28th, 1976
## 7
Currently showing the Life Path Number for ... | HuggingFaceTB/finemath | |
THE WORLD'S LARGEST WEB DEVELOPER SITE
# NumPy Array Indexing
## Access Array Elements
Array indexing is the same as accessing an array element.
You can access an array element by referring to its index number.
The indexes in NumPy arrays start with 0, meaning that the first element has index 0, and the second has... | HuggingFaceTB/finemath | |
Worlds in Comparison: Play-Doh Planets
Recommended by Stacy DeVeau, Arizona NASA Educator Resource Center, Embry-Riddle Aeronautical University
What is a model?
What's the biggest planet in our solar system?
Draw all of the planets to scale on one sheet of paper. Draw Jupiter near the upper right and Saturn near th... | HuggingFaceTB/finemath | |
# Checking if any anagram of a given string is palindrome or not
Given a string, how do we check if any anagram of it can be a palindrome?
For example let us consider the string “AAC”. An anagram of it is “ACA” which is a palindrome. We have to write a method which takes a string and outputs true if we can form a pali... | HuggingFaceTB/finemath | |
# How Many Ounces Of Juice In A Lime?
Limes are one of the most popular fruits in the world! They can be eaten either raw or juiced. When choosing to juice limes, how many ounces (OZ) of lime juice you have depends on what consistency you want your drink to have.
The amount of liquid needed per ounce of dried pulp va... | HuggingFaceTB/finemath | |
# Using Hyperfocal Distance
1,975
10
2
## Introduction: Using Hyperfocal Distance
The idea of hyperfocal distance is relatively simple. Basically, if a lens is focused at the hyperfocal distance, everything in the resulting photograph is in focus, from the foreground to the middle ground to the background.
This i... | HuggingFaceTB/finemath | |
# Practice with the Substitution Method
## Objective
In this lesson students will have an opportunity to become fluent at solving systems of equations using the method of substitution. Students will be able to solve a variety of linear systems algebraically.
#### Big Idea
Students need an opportunity to practice ma... | HuggingFaceTB/finemath | |
# Highlights
• AlphaGo defeated the Go champion Lee Sedol in 2016 in a best-of-five tournament
• Since then, Deepmind has released three subsequent versions of the algorithm, each imposing fewer priors and increasing performance
# Introduction
In 2016, Deepmind famously put AlphaGo against Go world-champion Lee Sedo... | open-web-math/open-web-math | |
# algebra
Hi can I get help with these two questions.
1. Everytime the pedals go through 360 degree rotation, the tires roate three imes. if the tires are 24 nches in diameter, what is the minimum numbe of comlete rotions of the pedls needed forr the bicycle to travel at least 1 mile.
I got 561 rotations.
2. If the... | HuggingFaceTB/finemath | |
# A purse con
Given:
First purse contains 2 silver and 4 copper coins.
Second purse contains 4 silver and 3 copper coins.
A coin is pulled a random from one of the two purses.
There are two mutually exclusive ways to pull a silver coin from one of the two purses –
a. The first purse is selected, and then, a silve... | HuggingFaceTB/finemath | |
# Analysis of Algorithms
In this tutorial you will learn about analysis of algorithms.
Before learning analysis of algorithms lets quickly take a look on what is an algorithm and why we require it.
### What is an Algorithm?
An algorithm is the step by step unambiguous procedure to solve a given problem.
For exampl... | HuggingFaceTB/finemath | |
# Number Of Coconuts In The Pile
What was the problem?
Absolutely no need to overthink on the extra details given there. Just for a moment, we assume the number of coconuts in the community pile is divisible by 10,9,8,7,6,5,4,3,2,1.
Such a number in mathematics is called as LCM. And LCM in this case is 2520. Since e... | HuggingFaceTB/finemath | |
# Triple exponential smoothing
Description and examples of triple exponential smoothing
So we've reached triple exponential smoothing.
Those who were not aware - it may be simple Exponential smoothing, there is also Double exponential smoothing and now let me introduce you triple exponential smoothing.
A bit of his... | HuggingFaceTB/finemath | |
Biostats
I am having problems in this course with following the professor. Can anyone help me with this problem Thanks
need to calculate 99% CI for true mean with the following data:
n=100, mean is 126 with sample variance of 402. I have to know the answer, theorems and interpret tne meaning...UGGGGG
need to calcula... | HuggingFaceTB/finemath | |
# Apps that do your homework
Apps that do your homework can be a helpful tool for these students. So let's get started!
## The Best Apps that do your homework
This Apps that do your homework helps to fast and easily solve any math problems. solving equations is a process that involves isolating the variable on one s... | HuggingFaceTB/finemath | |
# Math
Write an expression and then evaluate when x = -6.
Nine subtracted from the quotient of twice a number, x, and three.
1. 👍 0
2. 👎 0
3. 👁 98
1. twice a number, x
2x
quotient of ... and three
2x/3
nine subtracted from
2x/3 - 9
when x = -6
2(-6)/3 - 9 = -12/3 - 9 = -4-9 = -13
Not so hard when you take it ... | HuggingFaceTB/finemath | |
## 33339
33,339 (thirty-three thousand three hundred thirty-nine) is an odd five-digits composite number following 33338 and preceding 33340. In scientific notation, it is written as 3.3339 × 104. The sum of its digits is 21. It has a total of 2 prime factors and 4 positive divisors. There are 22,224 positive integers... | HuggingFaceTB/finemath | |
Contrib:KeesWouters/bc/pythonlist
Geometry and mesh of the block with cylindrical hole
Applied on a simple block with a cylindrical hole the use of LIAISON_DLL is shown to simulate a cylindrical coordinate system
Contrib:KeesWouters/bc/cylinder
Geometry and mesh of the block with cylindrical hole
• key words
o LIAISO... | HuggingFaceTB/finemath | |
# 22 23 23 triangle
### Acute isosceles triangle.
Sides: a = 22 b = 23 c = 23
Area: T = 222.1899108644
Perimeter: p = 68
Semiperimeter: s = 34
Angle ∠ A = α = 57.14437562846° = 57°8'38″ = 0.99773466941 rad
Angle ∠ B = β = 61.42881218577° = 61°25'41″ = 1.07221229797 rad
Angle ∠ C = γ = 61.42881218577° = 61°25'41... | HuggingFaceTB/finemath | |
# The Way of measuring Sizes Anamolies Inside Software Metrics
There are four scales in measurement theory. They are nominal, ordinal, ratio and interval. Interval scale are normally composed using times, dates, year, hour, minute, next and so forth., The qualities of divide can be applied to ratio scale steps, but ca... | HuggingFaceTB/finemath | |
# Given that the polynomial (x2 + ax + b) leaves the same remainder when divided by (x - 1) or (x + 1). What are the values of a and b respectively?
Free Practice With Testbook Mock Tests
## Options:
1. 4 and 0
2. 0 and 3
3. 3 and 0
4. 0 and any integer
### Correct Answer: Option 4 (Solution Below)
This questio... | HuggingFaceTB/finemath | |
# What is the centroid of the triangle with vertices (6, 4), ( 3,1) and (0, 4)?
Tushar Chandra | Certified Educator
calendarEducator since 2010
starTop subjects are Math, Science, and Business
The centroid of a triangle is the point where the medians of the triangle meet. So we can find the centroid by determining ... | HuggingFaceTB/finemath | |
# 2006 AMC 12B Problems/Problem 6
## Problem
Francesca uses 100 grams of lemon juice, 100 grams of sugar, and 400 grams of water to make lemonade. There are 25 calories in 100 grams of lemon juice and 386 calories in 100 grams of sugar. Water contains no calories. How many calories are in 200 grams of her lemonade? $... | HuggingFaceTB/finemath | |
Question 85
# If the amount received at 10% per annum Compound interest after 3 yrs is Rs 19965, then what will have been the principal (in Rs) amount?
Solution
 P$$(1+\frac{10}{100})^{3}$$ = 19965
 P$$(1+\frac{1}{10})^{3}$$ = 19965
 P$$(\frac{11}{10})^{3}$$ = 19965
 P$$(\frac{1331}{1000})$$ = 19965
P = 1500... | HuggingFaceTB/finemath | |
Calculus (3rd Edition)
$$r= -\frac{12}{2+ 3\cos \theta}.$$
The polar equation of the conic of eccentricity $e \gt0$, with focus at the origin and directrix $x = d$ is $$r=\frac{e d}{1+e \cos \theta}.$$ Now, since $e=3/2$ and $x=-4$, then the polar equation is $$r=\frac{-6}{1+ (3/2)\cos \theta} =-\frac{12}{2+ 3\cos \th... | HuggingFaceTB/finemath | |
# What Is The Formula For Mass?
Mass is a property of physical objects and a measure of how resistant that body is to acceleration. One can consider the mass of an object as a measure of how much physical “stuff” makes up that object.
Unlike relational properties such as position, velocity, or potential energy, which... | HuggingFaceTB/finemath | |
+0
# coordinates
0
204
1
The area of rectangle ABCD with vertices A(0, 0), B(0, 4), C(x, 4) and D(x, 0) is 16 square units. If x > 0, what is the value of x?
Aug 6, 2022
#1
+2667
0
The height of the rectangle is \(4 - 0 = 4\) and the base is \(x - 0 = x \).
So, we have the equation \(4x = 16\)
Aug 6, 2022 | HuggingFaceTB/finemath | |
What is the derivative of f(x) = sqrt(9-x^2)+4 considering the fact that the radius and tangent are perpendicular at the point of contact?
1 Answer
Apr 2, 2017
$\frac{- x}{\sqrt{9 - {x}^{2}}}$
Explanation:
f'(x) = $\frac{1}{2} \frac{1}{\sqrt{9 - {x}^{2}}} \left(- 2 x\right) = \frac{- x}{\sqrt{9 - {x}^{2}}}$
The gi... | HuggingFaceTB/finemath | |
# What is the simplest form of 25 by 75?
## What is the simplest form of 25 by 75?
Reduce 25/75 to lowest terms
1. Find the GCD (or HCF) of numerator and denominator. GCD of 25 and 75 is 25.
2. 25 ÷ 2575 ÷ 25.
3. Reduced fraction: 13. Therefore, 25/75 simplified to lowest terms is 1/3.
## How do you turn 75 into a ... | HuggingFaceTB/finemath | |
# how to create a sequence of objects from 2 sequence of numbers?
Cecilia Lucía Gigena shared this question 2 years ago
Hi,
I have these 2 sequences:
Sequence(z * 360 / b, z, 0, b, 1)
Sequence(Angle((x(A1) + floor(q / b) - n floor(q / b / n)+0.5, y(A1) + floor(q / b / n)),(x(A1) + floor(q / b) - n floor(q / b / n)... | HuggingFaceTB/finemath | |
## Graph of a function vs the function itself
Some sites say that a function from A to B is a subset of A x B. But A x B is a set, and a function is a rule, which means that the GRAPH of a function is the one that is the subset of A x B, not the function itself. Unless the graph of the function is the function. But th... | HuggingFaceTB/finemath | |
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# Lesson 18
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# Search by Topic
#### Resources tagged with Working systematically similar to Children's Mathematical Writing:
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Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
### Round the Two Dice
##### Stage: 1 C... | HuggingFaceTB/finemath | |
# Commuting: Steven Strogatz Explains One of the Laws of Multiplication [Excerpt]
Steven Strogatz discusses the mathematical difference between IRA contributions and footwear in this excerpt from his new book
But something about that sounds fishy to you. “No thanks,” you say. “Could you please take the twenty percent... | HuggingFaceTB/finemath | |
# maths
Let ABC be a triangle.Draw median AD on BC.Draw median AE of triangle ABD on BD.Take a point on side AB say F and join CF. Now from D make a line parallel to CF such that the line cuts AB at G. Note- G lies between F and B. AD intersect CF and P. AE intersect GD at H. So BD=DC Given AP=PD BE=ED CF parallel to ... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
10/35 + 3/7 is 5/7.
1. Find the least common denominator or LCM of the two denominators:
LCM of 35 and 7 is 35
Next, find the equivalent fraction of both fractional numbers with denominator 35
2. For the 1st fraction, since 35 × 1 = 35,
10/35 = 10 × 1/35 × 1 = 10/35
3. Likewise, ... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 22 Jan 2019, 19:12
### 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.
Customize... | HuggingFaceTB/finemath | |
## How to Calculate WACC
Weighted Average Cost of Capital (WACC) is defined as the minimum return that a company must generate to satisfy its owners, creditors, and other providers of capital or else it would make more sense for them to invest elsewhere. Since there are different components that make up a company’s ov... | HuggingFaceTB/finemath | |
# Tim, with mass 64.3 kg, climbs a gymnasium rope a distance of 3 m. The acceleration of gravity is 9.8 m/s to the second power.How much potential energy does Tim gain? Answer in units of J.
Asked on by jayjay00
### 2 Answers |Add Yours
neela | High School Teacher | (Level 3) Valedictorian
Posted on
The gain of th... | HuggingFaceTB/finemath | |
Q. Albert Square features in which popular British soap opera?
# How to Solve Sudoku Puzzles
## Learn How to Solve Sudoku Faster!
To get better, learning the different solving techniques will certainly help. However, in the real world, when you don't know which techniques you'll need, spotting them becomes the chall... | HuggingFaceTB/finemath | |
# Thread: proving for tan question
1. ## proving for tan question
Hey need some help with this one
Prove that $\displaystyle tan (\theta +\phi ) = (tan \theta + tan \phi) \div ( 1 - tan \theta . tan \phi )$
Cheers
2. $\displaystyle \sin ( \theta + \phi ) = \sin \theta \cos \phi + \cos \theta \sin \phi$
$\displays... | HuggingFaceTB/finemath | |
# How many ways…
Qs:
(a) A multiple-choice test contains 10 questions. There are four possible answers to each question. How many ways can a student answer the questions on the test if the student answers every question?
(b) In the scenario of (a): How many ways can a student answer the questions on the test if the... | HuggingFaceTB/finemath | |
# Get Answers to all your Questions
#### Please solve RD Sharma class 12 chapter Mean Value Theoram exercise 14.2 question 1 sub question (ix) maths textbook solution
Answer: $\pm \frac{1}{\sqrt{2}}$
Hint: You must know the formula of Lagrange’s Mean Value Theorem.
Given:$f(x)=\sqrt{25-x^{2}} \text { on }[-3,4]$
... | HuggingFaceTB/finemath | |
Suppose that $H_1/H_2$ is Abelian. Show that $H_1 N / H_2 N$ is Abelian.
Suppose $$G$$ is a group and $$H_1$$, $$H_2$$, $$N$$ are subgroups of $$G$$. $$N$$ is a normal subgroup of $$G$$ and $$H_2$$ is a normal subgroup of $$H_1$$. Suppose that $$H_1/H_2$$ is Abelian. Show that $$H_1N/H_2N$$ is Abelian.
My current tho... | HuggingFaceTB/finemath | |
# MidpointRounding 列舉
## 定義
public enum class MidpointRounding
public enum MidpointRounding
[System.Runtime.InteropServices.ComVisible(true)]
public enum MidpointRounding
type MidpointRounding =
[<System.Runtime.InteropServices.ComVisible(true)>]
type MidpointRounding =
Public Enum MidpointRounding
MidpointRounding
... | HuggingFaceTB/finemath | |
# Multiplicative Inverses
1. Nov 8, 2007
### mrroboto
In class today, my teacher said,
"the definition for multiplicative inverses in the R (real numbers) does not give an inverse for
the real number [1/n] element of R."
What does this mean? It seems counterintuitive, and I can't figure out why it's true.
Last ed... | HuggingFaceTB/finemath | |
# How To Use Lines To Solve Problems
In mathematics, lines are very important. You will need to use them to solve problems and understand shapes and objects. When it comes to solving a math problem, lines and angles are two of the most important mathematical tools.
At times, you may be able to add lines, circles, or ... | HuggingFaceTB/finemath | |
# 2019 AIME I Problems/Problem 8
## Problem 8
Let $x$ be a real number such that $\sin^{10}x+\cos^{10} x = \tfrac{11}{36}$. Then $\sin^{12}x+\cos^{12} x = \tfrac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. Find $m+n$.
## Solution 1
We can substitute $y = \sin^2{x}$. Since we know that $\cos^2{x... | HuggingFaceTB/finemath | |
# Complex Plane
No, not this complex plane ... ... this complex plane: It is a plane for complex numbers!
(It is also called an "Argand Diagram")
## Real and Imaginary make Complex
A Complex Number is a combination of a Real Number and an Imaginary Number.
Let me explain ...
A Real Number is the type of number y... | HuggingFaceTB/finemath | |
330. Patching Array
Given a sorted positive integer array nums and an integer n, add/patch elements to the array such that any number in range `[1, n]` inclusive can be formed by the sum of some elements in the array. Return the minimum number of patches required.
Example 1:
```Input: nums = `[1,3]`, n = `6`
Output:... | HuggingFaceTB/finemath | |
# calculus
posted by .
find the volume of the solid bounded above by the surface z=f(x,y) and below by the plane region R
f(x,y)=2x^2 y;R is the region bounded by the graphs of y=x and y=x^2
• calculus -
v = ∫∫R f(x,y) dA
= ∫[0,1]∫[x,x^2] 2x^2 y dy dx
= ∫[0,1] (x^2 y^2)[x,x^2] dx
= ∫[0,1] (x^6 - x^4) dx
= (1/7 x^7... | HuggingFaceTB/finemath | |
# Math Visualization with points
A general Polynomial function of degree 4 is given below.
We explore all the possible polynomial functions up to the 4th degree using the tool given below the equation. Here in this tool, we plot the graph of a polynomial by selecting the coefficients.
A polynomial of degree 1 is ca... | HuggingFaceTB/finemath | |
+0
help cphil
0
297
4
Find the smallest possible value of$$\frac{(y-x)^2}{(y-z)(z-x)} + \frac{(z-y)^2}{(z-x)(x-y)} + \frac{(x-z)^2}{(x-y)(y-z)},$$where $x,y,$ and $z$ are distinct real numbers.
Feb 18, 2022
#1
+505
+1
You could apply AM-GM to get
$$\frac{(y-x)^2}{(y-z)(z-x)} + \frac{(z-y)^2}{(z-x)(x-y)} + \frac{... | HuggingFaceTB/finemath | |
1. Prove that
a) $\displaystyle (A-B) \cap C = (A \cap C) - (B \cap C)$;
b) (A symmetric difference B) = $\displaystyle (A U B) - (A \cap B)$
2. Originally Posted by ninano1205
1. Prove that
a) $\displaystyle (A-B) \cap C = (A \cap C) - (B \cap C)$;
b) (A symmetric difference B) = $\displaystyle (A U B) - (A \cap ... | HuggingFaceTB/finemath | |
Biology
Earth Sciences
Microscopes
# What does magnification mean?
###### November 14, 2010 11:27PM
The action of magnifying. The condition of being magnified. The result of magnifying or a magnified reproduction.
Zoom
## Related Questions
The 'magnification' of the microscope is how far or close you zoom in to th... | HuggingFaceTB/finemath | |
# What is the probability that you have (answer attached)
QUESTIONS 1 THROUGH 4 ARE BASED ON THE FOLLOWING INFORMATION:
The amount of time you have to wait at a particular stoplight is uniformly distributed between zero and two minutes.
1. What is the probability that you have to wait more than 30 seconds fo... | HuggingFaceTB/finemath | |
# Programming - Java - Travelling Salesman Problem Solution (Naive Algorithm)
in STEMGeeks10 months ago
[Image 1]
## Introduction
Hey it's a me again drifter1!
Today we continue with the Java Graph Algorithm series in order to cover the Travelling Salesman Problem (TSP) and one of the Algorithms (Naive) that solve... | HuggingFaceTB/finemath | |
# The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is
Question:
The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is
(a) 6
(b) 9
(c) 12
(d) 18
Solutio... | open-web-math/open-web-math | |
# Difference between revisions of "2014 AMC 10A Problems/Problem 21"
## Problem
Positive integers $a$ and $b$ are such that the graphs of $y=ax+5$ and $y=3x+b$ intersect the $x$-axis at the same point. What is the sum of all possible $x$-coordinates of these points of intersection?
$\textbf{(A)}\ {-20}\qquad\textbf{... | open-web-math/open-web-math | |
Views
3 months ago
# CLASS_11_MATHS_SOLUTIONS_NCERT
## Class XI Chapter 6 –
Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ 3x 6 3 3 x 2 (i) The integers greater than Thus, when x is an integer, the solutions of the given inequality are 1,... | HuggingFaceTB/finemath | |
# Using Number Lines in Math Class with Middle Schoolers
I’m a huge fan of giving our students the right tools they need to succeed. I believe they’re never too old to use them! When I discover tools that help my students with math, I feel like I’m setting them up for success, both mentally and academically. It’s amaz... | HuggingFaceTB/finemath | |
# Lenz’s Law of electromagnetic induction
## What is Lenz’s Law of electromagnetic induction?
Lenz’s law states that:”The direction of induced current is always so as to oppose the change which causes the current.”
A mathematical expression of Faraday’s law of electromagnetic induction was derived as:
ε = – N ΔΦ/Δt
... | HuggingFaceTB/finemath | |
# Math: Middle School: Grades 6, 7 and 8 Quiz - Business Math 05 - Word Problems (Questions)
This Math quiz is called 'Business Math 05 - Word Problems' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in... | HuggingFaceTB/finemath | |
# Union of connected subsets
• Dec 5th 2010, 06:07 PM
okor
Union of connected subsets
Problem: Let $A_{1}$, $A_{2}$, and $A_{3}$ be connected subsets of X, such that $A_{1} \cap A_{2} \neq \emptyset$ and $A_{2} \cap A_{3} \neq \emptyset$. Prove that $A_{1} \cup A_{2} \cup A_{3}$ is connected.
So far this is what I ha... | HuggingFaceTB/finemath | |
# Palindromes
Math Lair Home > Topics > Palindromes
Palindromes are words or numbers that read the same both forwards and backwards. Examples of words that are palindromes are "noon" and "rotator". An example of a sentence that is a palindrome is "A man, a plan, a canal - Panama!". Palindromic numbers are numbers tha... | HuggingFaceTB/finemath | |
# Problems using Euler-Maclaurin for $\sum e^{-2 \pi z a^2}$
I'm trying to evaluate $\sum_{a=-\infty}^{\infty} e^{-2 \pi z a^2}$ using Euler-Maclaurin, but I get $\frac{1}{\sqrt{2z}}$. The only alternative I have is to calculate the remainder term directly for a small level of approximation, but I don't want to do thi... | open-web-math/open-web-math | |
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# Electrical Terminology
##### NAC-Trainer April 24, 2020
When following our online training material we will use electrical terminology on almost every page. Below, you will see the electrical terminology we will refer to often and what ... | HuggingFaceTB/finemath | |
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Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submiss... | HuggingFaceTB/finemath | |
# cyclic groups
• Feb 24th 2010, 04:16 PM
nataliemarie
cyclic groups
Ok so the question is supposing that a,b are in Group G, the problem doesn't state that the group is cyclic or anything. But a,b in G and a has an odd order. then if
aba-1 = b-1 then b^2 = e. I did it at first but unfortunately I assumed the group is... | HuggingFaceTB/finemath | |
# Mathematical Properties Algebra I. Associative Property of Addition and Multiplication The associative property means that you will get the same result.
## Presentation on theme: "Mathematical Properties Algebra I. Associative Property of Addition and Multiplication The associative property means that you will get ... | HuggingFaceTB/finemath | |
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# GIMPS factoring and sieving
Before a Lucas-Lehmer test is done on an exponent, it first undergoes tr... | HuggingFaceTB/finemath | |
## Faster than Bresenham’s Algorithm?
There’s always a number of graphics primitives you will be using in all kinds of projects. If you’re lucky, you’re working on a “real” platform that comes with a large number of graphics libraries that offer abstractions to the graphics primitives of the OS and, ultimately, to its... | HuggingFaceTB/finemath | |
# 5. The One-Dimensional Particle in a Box#
## 🥅 Learning Objectives#
• Determine the energies and eigenfunctions of the particle-in-a-box.
• Learn how to normalize a wavefunction.
• Learn how to compute expectation values for quantum-mechanical operators.
• Learn the postulates of quantum mechanics
## Cyanine D... | HuggingFaceTB/finemath | |
how many helium balloons to lift a house
## how many helium balloons to lift a house
• ### How many helium balloons would one need to lift an entire ...
Mar 02, 2013· A small, suburban house weighs about 100,000 pounds. To lft a house of that weight with helium balloons, the total volume of the helium would need t... | HuggingFaceTB/finemath | |
# Difference between revisions of "2002 AIME II Problems/Problem 12"
## Problem
A basketball player has a constant probability of $.4$ of making any given shot, independent of previous shots. Let $a_n$ be the ratio of shots made to shots attempted after $n$ shots. The probability that $a_{10} = .4$ and $a_n\le.4$ for... | HuggingFaceTB/finemath | |
1. Estimate Integral
Estimate the integral with Trapezoidal rule: $\displaystyle \int_{-1}^2 x^2 dx$
$\displaystyle \Delta x = \frac{2 -(-1)}{4} = \frac{3}{4}$
$\displaystyle x = 0, y = 0; x=.75, y= .5625; x=1.5, y= 2.25; x=2.25, y=5.0625; x=3, y=9$
$\displaystyle T=\frac{\Delta x}{2}(y_0 + 2y_1 + 2y_2 + ... + 2y_{... | HuggingFaceTB/finemath | |
# Converting recurring decimals to fractions
1. Jan 3, 2010
### Gringo123
I have no difficulty with converting decimals to fractions generally (0.125 = 1/8)
However, I am a bit stuck when it comes to converting a recurring decimals. My Math book tells me that 0.7777777r is not expressed as 77/100 as a fraction, but ... | HuggingFaceTB/finemath | |
If you are a teacher, click here for a version of the problem suitable for classroom use, together with supporting materials. Otherwise, read on ...
Arrange the numbers $1$ to $6$ in each set of circles below.
The sum of each side of the triangle should equal the number in the centre of the triangular shape.
Once yo... | HuggingFaceTB/finemath | |
## lcm Practical Problems Question1
In this page lcm practical problems question1 we are going to see solution of first problem.
Question 1:
Henry walks 60 cm in one step and Rahim walks 75 cm in one step. Determine the shortest that either of them can measure by an exact number of steps. How many steps will each ta... | HuggingFaceTB/finemath | |
# Solving Triangles
In the 1991 film Shadows and Fog, the eerie shadow of a larger-than-life figure appears against the wall as the shady figure lurks around the corner. How tall really is the ominous character? Filmmakers use the geometry of shadows and triangles to make this special effect.
The shadow problem is a ... | HuggingFaceTB/finemath | |
Private GMAT Tutoring in NYC & Online
## GMAT Question of the Day - Data Sufficiency - Number Properties
Set x contains only positive integers. What is the range of set x?
(1) The sum of the greatest number and the least number in set x is 10.
(2) The range of the squares of set x is 60
## GMAT Question of the Day... | HuggingFaceTB/finemath | |
## Ch. 2 Geometry vocab, formulas, theorems, etc.
##### Created by:
baller94565 on September 24, 2008
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# Ch. 2 Geometry vocab, formulas, theorems, etc.
Conditional StatementA type of logical statement that has two parts, a hypothesis and a conclusion
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Preview our new flashcards mode!
Orde... | HuggingFaceTB/finemath | |
# Find the area of a circle made of 44 cm wire ?
The time for answering the question is over
181 cents
circle perimeter = 2*pi*r =44
r= 44* 7/22 *1/2 = 7 cm
area = pi*r^2 = 22*7=154 cm^2
perimeter of square = 4a =44 =a=11
area of square = 11^2 =121 cm^2
difference is = 154-121 =33 cm^2
178 | HuggingFaceTB/finemath | |
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Monomials Polynomials Special products Equations Quadratic equations Radical expressions Systems of equations Sequences and series Inner product Exponent... | HuggingFaceTB/finemath | |
## PCA / FA. Example 4 ! Davis, and almost everyone else
I would like to revisit the work we did in Davis (example 4). For one thing, I did a lot of calculations with that example, and despite the compare-and-contrast posts towards the end, I fear it may be difficult to sort out what I finally came to.
In addition, m... | HuggingFaceTB/finemath | |
## Pages
`“Life is like riding a bicycle. To keep your balance you must keep moving.”–Albert Einstein`
## Tuesday, July 1, 2014
### AP Physics Exams – Newton’s Laws Revisited
“This time, like all times, is a very good one if we but know what to do with it”
– Ralph Waldo Emerson
You can find many questions (with s... | HuggingFaceTB/finemath | |
Worksheet: Basic Geometrical Ideas
# Basic Geometrical Ideas Class 6 Worksheet Maths Chapter 4
Q1: What do the following things in our surroundings represent: (use the words given in the box).
A point A ray A line segment A plane Parallel lines Intersecting lines
Tip of pencil A point (example)
(a) Edge of a ruler... | HuggingFaceTB/finemath |
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