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# Prove that the coefficient of xn in the binomial expansion of
`
Question:
Prove that the coefficient of $x n$ in the binomial expansion of $(1+x)^{2 n}$ is twice the coefficient of $x^{n}$ in the binomial expansion of $(1+x)^{2 n-1}$.
Solution:
To Prove : coefficient of $x^{n}$ in $(1+x)^{2 n}=2 \times$ coefficie... |
# Matrix Multiplication
Before attempting matrix multiplication, makes sure you know the basics first.
Multiplication is much more complicated than some of the other matrix operations, like matrix addition and scalar multiplication. GradeA will show you two approaches: the Turn & Flip and the Zipper. Choose the meth... |
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# Multiplication and Division of Radicals
## Rationalize the denominator
0%
Progress
Practice Multiplication and Division of Radicals
Progress
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Dividing Square Roots
The area of a re... |
# What is the limit of (x+7)/(3x+5) as x approaches infinity?
Rylan Hills | Certified Educator
calendarEducator since 2010
starTop subjects are Math, Science, and Business
The value of lim x--> inf. [(x+7)/(3x+5)] is required.
As x --> inf. , 1/x --> 0
lim x--> inf. [(x+7)/(3x+5)]
=> lim x --> 0[ 1/x + 7)/(3/x ... |
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# 5 5factoring trinomial iii
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# How to Isolate a Variable
Isolating a variable is a matter of separating and simplifying.
### Instructions
• Step 1: Bring like terms together Bring like terms together. All equations have two sides. You want to perform the same operation on both sides of the equal sign. For the equation 4x –12 = -x + 8, 4x –12 is... |
# Eleven 11+ Questions: 3. Patterns and Sequences
15 June 2017
In part 3 of our 11+ Questions series we are going to look into patterns and sequences - a very typical exam question - using an example question taken from a sample paper sent out by one of the most top schools in London.
11+ examiners love patterns and... |
# Project #60862 - deicion 4
Assignment 1: Discussion—Population Growth
To study the growth of a population mathematically, we use the concept of exponential models. Generally speaking, if we want to predict the increase in the population at a certain period in time, we start by considering the current population and... |
## How to Perform a Divisbility Test / Divisibilty Calculations
Testing for Divisibility
Among numerous other factors, good scores on any standardized test such as GRE, SAT or GMAT depends on the student’s ability to perform the calculations faster.
Divisibility checking can be time consuming at times. So, any trick... |
Question
# Find the center coordinates and radius of a circle for an equation written as: 3x2 + 3y2 - 6y = —12× + 24
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## Answer to a math question Find the center coordinates and radius of a circle for an equation written as: 3x2 + 3y2 - 6y = —12× + 24
Ali
4.4
Move the variable to the left-hand s... |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... |
# Maharashtra Board 12th Maths Solutions Chapter 4 Pair of Straight Lines Ex 4.2
Balbharti 12th Maharashtra State Board Maths Solutions Book Pdf Chapter 4 Pair of Straight Lines Ex 4.2 Questions and Answers.
## Maharashtra State Board 12th Maths Solutions Chapter 4 Pair of Straight Lines Ex 4.2
Question 1.
Show that... |
## KSEEB SSLC Class 10 Maths Solutions Chapter 1 Arithmetic Progressions Ex 1.3
KSEEB SSLC Class 10 Maths Solutions Chapter 1 Arithmetic Progressions Ex 1.3 are part of KSEEB SSLC Class 10 Maths Solutions. Here we have given Karnataka SSLC Class 10 Maths Solutions Chapter 1 Arithmetic Progressions Exercise 1.3.
## Ka... |
# properties of equality
Post on 25-Jan-2016
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Properties of Equality. Properties of Equality. Properties are rules that allow you to balance, manipulate, and solve equations. Addition Property of Equality. Adding the same number to both sides of an equat... |
## Engage NY Eureka Math 7th Grade Module 1 Lesson 12 Answer Key
### Eureka Math Grade 7 Module 1 Lesson 12 Example Answer Key
Example 1.
Time to Remodel
You have decided to remodel your bathroom and install a tile floor. The bathroom is in the shape of a rectangle, and the floor measures 14 feet, 8 inches long by 5 ... |
# How do you simplify 2x + 3( x + 2) - 6?
Nov 22, 2017
See a solution process below:
#### Explanation:
First, expand the term in parenthesis by multiplying the terms in parenthesis by the term outside the parenthesis:
$2 x + \textcolor{red}{3} \left(x + 2\right) - 6 \implies$
$2 x + \left(\textcolor{red}{3} \time... |
#### Please solve RD Sharma class 12 chapter 10 Differentiation exercise Multiple choice question 9 maths textbook solution
$|\sec \theta|$
Hint:
Differentiate x and y w.r.t $\theta$, then divide and solve
Given:
$x=a \cos ^{3} \theta, y=a \sin ^{3} \theta, \sqrt{1+\left(\frac{d y}{d x}\right)^{2}}=$
Solution:
\... |
# Construction of Third Binomial Straight Line
## Theorem
In the words of Euclid:
To find the third binomial straight line.
## Proof
Let $AC$ and $CB$ be straight lines constructed such that $AB = AC + CB$ is itself a straight line.
$AB : BC = m^2 : n^2$
where $m$ and $n$ are numbers such that $m^2 - n^2$ is not... |
Suppose we are comparing implementations of insertion sort and merge sort on the same machine. For inputs of size $n$, insertion sort runs in $8n^2$ steps, while merge sort runs in $64n \lg n$ steps. For which values of $n$ does insertion sort beat merge sort?
For insertion sort to beat merge sort for inputs of size $... |
18 Feb 2020 | 23 views | 0 downloads | 9 Pages | 1.07 MB
Share Pdf : Solving Linear Equations Manchester University
Report CopyRight/DMCA Form For : Solving Linear Equations Manchester University
## Transcription
Jessica Fauser,November 24 2009,Complete Lesson Plan 1. from the Board Race activity, 3 Now define a li... |
# How do I evaluate the following integral?
##### 1 Answer
Feb 26, 2018
$\frac{1}{2} {x}^{2} + 18 \ln | {x}^{2} - 36 | + C$
#### Explanation:
Divide ${x}^{2} - 36$ into ${x}^{3}$ using polynomial long division.
This yields:
$\int {x}^{3} / \left({x}^{2} - 36\right) \mathrm{dx} = \int \left(x + \frac{36 x}{{x}^{2}... |
Basic Math | Basic-2 Math | Prealgebra | Workbooks | Glossary Glossary | Standards | Site Map | Help
# Pick-a-Bar: Numbers One Through Ten Thousand
This activity was designed to help you recognize numbers between one (1) and ten thousand (10,000). The top of the activity will ask you to find a number with a word and ... |
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• Level: GCSE
• Subject: Maths
• Word count: 1877
# This piece of c... |
Quick Math Homework Help
Master the 7 pillars of school success that I have learned from 25 years of teaching.
Common Core Standard 6.NS.4
Questions answered in this video
What is the Distributive Property?
When do you use the Distributive Property?
What type of problems use the Distributive Property
Distributive... |
Types of two equation systems with two unknowns. Examples
# Types of two equation systems with two unknowns. Examples
In this lesson I am going to explain the types of systems of equations that exist, depending on the number of solutions, with an example of each of the types of systems.
The systems of two equation... |
# Buffon's Needle
Buffon's Needle
The Buffon's Needle problem is a mathematical method of approximating the value of pi $(\pi = 3.1415...)$involving repeatedly dropping needles on a sheet of lined paper and observing how often the needle intersects a line.
# Basic Description
The method was first used to approximate... |
# Math Snap
## $\int x \operatorname{Ln} x d x$
#### STEP 1
Assumptions 1. The integral to solve is $\int x \ln(x) \, dx$. 2. We will use integration by parts to solve this integral.
#### STEP 2
Recall the formula for integration by parts, which is given by: $\int u \, dv = uv - \int v \, du$
#### STEP 3
Identif... |
# Regression
#### Information
In order to learn about Regression we first need to understand a key words:
Bivariate Data - Data collected as a pair e.g.Height and Weight
Usually one variable controlled (x) and one measured experimentally (y)
(x - Independant, y - Dependent)
In order to show the mean of variables of ... |
# Calculate the iterated integral. \int_{0}^{4}\int_{0}^{12}2e^{x+3y}dx\ dy
Calculate the iterated integral.
You can still ask an expert for help
• Questions are typically answered in as fast as 30 minutes
Solve your problem for the price of one coffee
• Math expert for every subject
• Pay only if we can solve it
... |
# Complex Numbers
A complex number is an extension of a real number whose properties can be used to solve previous unsolvable problems and that model 2D geometry. Complex numbers appear in many engineering and math equations such as the Fundamental Theorem of Algebra, Euler’s Formula and the Mandelbrot Set.
## Defini... |
Question: What Is An Irrational Number Between 4 And 5?
Is 0 is a rational number?
Zero Is a Rational Number As such, if the numerator is zero (0), and the denominator is any non-zero integer, the resulting quotient is itself zero..
Is 2.17 a rational number?
2.17 is a rational number.
What is a rational number be... |
Function and Polynomials
Subject: Optional Mathematics
Overview
If f: A → B be a function from set A to set B and g: B → C be the function set B to set C, then the new function from set A to set C is called composite function of F and G. It is denoted by gof. The algebraic expressions in which the power of the varia... |
# maths 2
?
• Created by: natalie
• Created on: 19-02-15 09:31
## discrete and continuos data
Discrete data is like a pair of shoes size 4 and 5 are ok but size 4.3 is no use, no in between numbers.
Continous data is like measurements. they have in between points 0.1 0.2
1 of 11
## Percentage
10% move one dp to ... |
With help from the teacher, the student has partial success with level 2 and level 3 elements. Plot a point for your home at the origin in a coordinate plane. Step 7: To demonstrate how the Pythagorean Theorem can be used to find the length of the diagonal of a rectangle, draw a rectangle on a grid with the following c... |
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# Reciprocal Transformation
Star this video
One important concept in the study of polynomials is the reciprocal transformation. What happens when we take the reciprocal transformation of a function, or one over the function Specifically, there... |
The function f of x is graphed. What is its domain? So the way it’s graphed
right over here, we could assume that this
is the entire function definition for f of x. So for example, if
we say, well, what does f of x equal when x
is equal to negative 9? Well, we go up here. We don’t see it’s graphed here. It’s not define... |
Paul's Online Notes
Home / Calculus II / Integration Techniques / Integrals Involving Roots
Show Mobile Notice Show All Notes Hide All Notes
Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best vie... |
# Poosible Two Pairs Of A Number With Code Examples
In this article, we will look at how to get the solution for the problem, Poosible Two Pairs Of A Number With Code Examples
## How many pairs can you make with 5 numbers?
In total you will find 5 × 24 = 120 possibilities.
``````2
1
8
```
```
``````0 1
5 3
```
```
... |
# Difference between revisions of "2017 AMC 10A Problems/Problem 4"
## Problem
Mia is helping her mom pick up $30$ toys that are strewn on the floor. Mia’s mom manages to put $3$ toys into the toy box every $30$ seconds, but each time immediately after those $30$ seconds have elapsed, Mia takes $2$ toys out of the bo... |
Monday, 06 September 2021 09:20
## Measurement
In this chapter learners need to apply some of the skills from Chapter 3, such as changing the subject of a formula and correctly substituting values into a formula. Remember that the units are important when you work with measurements.
4.1 Converting between different ... |
# Hypothesis Testing. To define a statistical Test we 1.Choose a statistic (called the test statistic) 2.Divide the range of possible values for the test.
## Presentation on theme: "Hypothesis Testing. To define a statistical Test we 1.Choose a statistic (called the test statistic) 2.Divide the range of possible value... |
Finding the Volume of Solid Figures MCC6.G.2 – Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes.
Presentation on theme: "Finding the Volume of Solid Figures MCC6.G.2 – Find the volume of a right rectangular prism with fractional edge lengths by packing it with uni... |
# 265L07 - LESSON 7 Functions of Several Variable and Their...
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# Thread: Inequalities with a modulus
1. ## Inequalities with a modulus
hi, how can i work out the values of x for this inequality please, |x/(x-2)| > |1/(x+1)|
the most confusing thing is that both parts are being divided.
2. Hello cpj
Originally Posted by cpj
hi, how can i work out the values of x for this inequa... |
Degree of a polynomial
(Redirected from Nonic equation)
The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials. The degree of a term is the sum of the exponents of the variables that appear in it. The term or... |
# Math in Focus Grade 4 Chapter 2 Practice 2 Answer Key Factors
Go through the Math in Focus Grade 4 Workbook Answer Key Chapter 2 Practice 2 Factors to finish your assignments.
## Math in Focus Grade 4 Chapter 2 Practice 2 Answer Key Factors
Find the missing factors.
Example 12 1 × 12 = 12
2 × 6 = 12
3 × 4 = 12
Th... |
Solving Two Variable Inequalities Part 2
Objective
SWBAT solve two variable inequalities by constructing an appropriate boundary line and shading a half plane.
Big Idea
See how to use test points to determine how to determine the solution to a two-variable inequality.
Open
10 minutes
Note: The impetus behind thi... |
Education.com
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Brainzy
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Plus
# Finding Linear Equations From Graphs Study Guide
(not rated)
By
Updated on Oct 3, 2011
## Introduction to Finding Linear Equations From Graphs
The simplest schoolboy is now familiar with facts for which Archimedes would have sacrificed his life
—Ernest Renan (1823–1892) French ... |
## Year 10-12 Learning Continuity Packages
### 22 May, 2020: Probability 1
Student Learning Continuity Program
22 May, 2020: Probability 1
/
This is the third session of the Student Learning Continuity Program for Years 10-12, an educational series made possible by the Ministry of Education and Human Resources Devel... |
# 2019 AMC 10A Problems/Problem 19
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
What is the least possible value of $$(x+1)(x+2)(x+3)(x+4)+2019$$where $x$ is a real number?
$\textbf{(A) } 2017 \qquad\textbf{(B) } 2018 \qquad\textbf{(C) } 2019 \qquad\textbf{(D) } 2020 \qquad\... |
# Difference between revisions of "2015 AMC 10A Problems/Problem 23"
## Problem
The zeroes of the function $f(x)=x^2-ax+2a$ are integers .What is the sum of the possible values of a?
$\textbf{(A)}\ 7\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 16\qquad\textbf{(D)}}\ 17\qquad\textbf{(E)}\ 18$ (Error compiling LaTeX. ! Ex... |
# Video: Differentiating Rational Functions Using the Quotient Rule
Differentiate π(π₯) = (4π₯Β² β 5π₯ + 8)/(3π₯ β 4).
04:05
### Video Transcript
Differentiate ππ₯ equals four π₯ squared minus five π₯ plus eight over three π₯ minus four.
So in order to actually differentiate our function,... |
# Tag: Maths
## Location
This week for Miss White maths we learned about how to find and describe the location of something on a map using grid references.
What is a grid? A grid is a map put into squares. Grid references are used to help find things. This used to be used for maps to help people travel to different ... |
# Second Equation of Motion
Physics, the study of the fundamental principles that govern the behavior of matter and energy, is a captivating subject that allows us to decipher the mysteries of the physical world. In the ninth-grade curriculum, one of the most intriguing topics in physics is the second equation of moti... |
FutureStarr
How to add fractions
## How to add fractions
### There are Easy steps to add Fraction.
Your students would possibly understand their manner around a numerator and denominator, however, are they prepared for what’s subsequent? abruptly, it’s time to discover ways to upload fractions -- and your elegance ... |
If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
The graph of a quadratic function is a parabola, which is a "u"-shaped curve. In this article, we r... |
# The Two Water Jug Puzzle
• Difficulty Level : Hard
• Last Updated : 22 Oct, 2021
You are on the side of the river. You are given a m liter jug and a n liter jug where 0 < m < n. Both the jugs are initially empty. The jugs don’t have markings to allow measuring smaller quantities. You have to use the jugs to measu... |
# The vector equation of a plane
Only x- and y- directed vectors can cause the wheel to rotate when the wheel is in the x-y plane. Example Find an equation of the plane passing through the points P 1,-1,3Q 4,1,-2and R -1,-1,1.
The distance D between a plane and a point P2 becomes; The numerator part of the above equa... |
# Time and Work – Quiz 3
Home > > Tutorial
5 Steps - 3 Clicks
# Time and Work – Quiz 3
### Introduction
Time and Work is one of important topic in Quantitative Aptitude Section. In Time and Work – Quiz 3 article candidates can find a question with an answer. By solving this question candidates can improve and maint... |
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```Section 2.4
Working with ... |
## Ratios, Proportions, Indices and Logarithms Summary for CA Foundation November 2020 Exams
### RATIOS
1. A ratio is a comparison of the sizes of two or more quantities of the same kind by division
2. If a and b are two quantities of the same kind (in same units), then the fraction a/b is called the ratio of a to b.... |
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# 10.5: Surface Area of Pyramids and Cones
Difficulty Level: At Grade Created by: CK-12
## Introduction
Painting a Pyramid
After about a week of working at the wrapping station, both ... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
You are viewing an older version of this Concept. Go to the latest version.
# Checking Solutions to Equations
## Substitute values for variables to check equation solutions
Estimated12 ... |
1 Linear Equations in Linear Algebra 1 3
• Slides: 31
1 Linear Equations in Linear Algebra 1. 3 VECTOR EQUATIONS © 2012 Pearson Education, Inc.
VECTOR EQUATIONS Vectors in § A matrix with only one column is called a column vector, or simply a vector. § An example of a vector with two entries is , where w 1 and w 2 a... |
# Find the Distance Value Between Two Arrays Leetcode Solution
Difficulty Level Easy
algorithms Array coding Interview interviewprep LeetCode LeetCodeSolutionsViews 254
The problem Find the Distance Value Between Two Arrays Leetcode Solution provides us two arrays arr1 and arr2. Along with the two arrays, we are prov... |
> > Minors and Cofactors of Determinant
# Minors and Cofactors of Determinant
We learned how important are matrices and determinants and also studied about their wide applications. The knowledge of Minors and Cofactors is compulsory in the computation of adjoint of a matrix and hence in its inverse as well as in the ... |
## Intermediate Algebra (12th Edition)
$(1-a)(1-b)$
$\bf{\text{Solution Outline:}}$ Group the terms of the given expression, $1-a+ab-b ,$ such that the factored form of the groupings will result to a factor common to the entire expression. Then, factor the $GCF$ in each group. Finally, factor the $GCF$ of the entire e... |
# Real Number
Updated: 05 Aug 2023
325
Real numbers are the building blocks of mathematics, forming an essential foundation for countless mathematical concepts and applications. From the simplest counting to the most complex scientific calculations, real numbers play a vital role in quantifying, measuring, and under... |
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# 7.2: Broken-Line Graphs
Difficulty Level: Basic Created by: CK-12
Estimated7 minsto complete
%
Progress
Practice Broken-Line Graphs
MEMORY METER
This indicates how strong in your memo... |
# Basic Math Terminology
## The Decimal System
The decimal system, sometimes referred to as base 10, contains a total of ten identifiers called digits. The decimal system is widely used because humans generally have ten fingers on which to count. For now, we will disregard other number systems for the sake of simplic... |
# How to Calculate Percentages with Ease
Baca Cepat
## Introduction: The Importance of Knowing How to Calculate Percentages
### What are Percentages?
Before we learn how to calculate percentages, let’s first understand what they are. A percentage is a fraction of a whole expressed as a number out of 100. For exampl... |
# Bright Hub Education
## Finding the Measurement of Angles using a Protractor: 4th Grade Lesson
written by: Donna Ventura • edited by: Carly Stockwell • updated: 11/14/2013
Students will investigate the concept of angles and determine the measurement of angles using a protractor.
• slide 1 of 14
Identify the meas... |
# 100 200 300 400 500 Evaluating Expressions Words - Algebra Adding & Subtracting Polynomials Multiplying and Dividing Polynomials Factoring (Smactoring)
## Presentation on theme: "100 200 300 400 500 Evaluating Expressions Words - Algebra Adding & Subtracting Polynomials Multiplying and Dividing Polynomials Factoring... |
### Basic Trigonometry
There are three basic trigonometric functions defined for a right-angled triangle:
1. sine
2. cosine
3. tan
Let a, and b be the two sides and c be the hypotenuse. Then the functions takes the following form:
• sin x = opposite / hypotenuse = a /c
• cos x = = adjacent / hypotenuse = b / c
• ta... |
## Search This Blog
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Contact me: sreramk360@gmail.com
## Friday 17 July 2015
### Fundamentals of calculus Chapter 2: Integration
Fundamentals of calculus
Chapter 2: Integration
Integration is the converse of differentiation. To understand this better, ... |
# How do you solve 5^(x^2+2x)=125?
Dec 2, 2016
$x = - 3 , x = 1$
#### Explanation:
To solve the equation ${5}^{{x}^{2} + 2 x} = 125$ for variable $x$, we must apply the logarithm conversion formula.
logarithm to exponential conversion: $\setminus {\log}_{a} \left(b\right) = x \setminus \leftrightarrow {a}^{x} = b$... |
# Linear Algebra/Eigenvalues and Eigenvectors/Solutions
## SolutionsEdit
Problem 1
For each, find the characteristic polynomial and the eigenvalues.
1. $\begin{pmatrix} 10 &-9 \\ 4 &-2 \end{pmatrix}$
2. $\begin{pmatrix} 1 &2 \\ 4 &3 \end{pmatrix}$
3. $\begin{pmatrix} 0 &3 \\ 7 &0 \end{pmatrix}$
4. $\begin{pmatrix} ... |
# 23. Trigonometrical Equations and their General Solutions¶
## 23.1. Trigonometrical Equation¶
An equation involving one or more trigonometrical ratios of unknown angle is called trigonometrical equation.
Ex. $\cos^2x - 4\sin x = 1$
A trigonometrical identity is satisfied for every value of the unknown angle where... |
# Graphing Stories
## Elevation vs. Time
Elevation vs. Time
## Explanation of Elevation vs. Time Graph
In the video you can see that the guy is walking up the stairs in a constant rate. Looking at the graph, you can see that as time goes on the guy’s elevation is rising. Within 6 seconds his elevation is 21 inches ... |
# Comparing Money Raised
Alignments to Content Standards: 4.OA.A.2
1. Helen raised \$12 for the food bank last year and she raised 6 times as much money this year. How much money did she raise this year? 2. Sandra raised \$15 for the PTA and Nita raised \$45. How many times as much money did Nita raise as compared to... |
# GATE | GATE-CS-2014-(Set-1) | Question 65
There are 5 bags labeled 1 to 5. All the coins in a given bag have the same weight. Some bags have coins of weight 10 gm, others have coins of weight 11 gm. I pick 1, 2, 4, 8, 16 coins respectively from bags 1 to 5. Their total weight comes out to 323 gm. Then the product of... |
# Video: Area of Triangles
Kathryn Kingham
Learn how to calculate the area of a triangle using the formula: area = half of base times height. Starting with rectangles and parallelograms and then cutting them in half, we talk through the process with some examples and emphasize that units of area are squared.
07:33
... |
How to express a number in scientific notation and how to convert from standard to scientific notation.
# Scientific Notation and Standard Form
Formula, practice problems
Scientific notation is just a short hand way of expressing gigantic numbers like 1,300,000 or incredibly small numbers like 0.0000000000045. Als... |
# What to Expect with 8th Grade Math Problems
Last Updated on August 3, 2023 by user
When your student starts 8th grade math problems, you may suddenly feel like math class has gone beyond your ability to help. While recent core standards have changed the face of eighth grade math class, and you may not recognize som... |
# How do you solve 36=3n-3(5n-8)?
Apr 30, 2018
$n = - 1$
#### Explanation:
$36 = 3 n - 3 \left(5 n - 8\right)$
Open parenthesis,
$36 = 3 n - 15 n + 24$
Simplify,
$36 = 24 - 12 n$
Subtract $24$ from both sides,
$12 = - 12 n$
Divide both sides by $12$,
$n = - 1$ |
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# The ratio of escape velocity at earth ( ${v_e}$ ) to the escape velocity at a planet (${v_p}$ ) whose radius and mean density are twice as that of earth is:A) $1:2$B) $1:2\sqrt 2$C) $1:4$D) $1:\sqrt 2$
Last updated date: 10th Aug 2024
Total vie... |
# Removing BracketsFOIL Multiplication
It’s important to know in Mathematics how to manipulate expressions that involve brackets.
Removing brackets in simpler cases, generally comes down to multiplying brackets out.
Though in less simpler cases, vertical multiplication can be a more effective method.
Removing brack... |
## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 12 Congruence of Triangles Check Your Progress
Question 1.
State, giving reasons, whether the following pairs of triangles are congruent or not:
Solution:
(i) In the given figure, using the SSS criterion triangles one congruent.
(ii) Triangles are congruent for ... |
# Lesson video
In progress...
Hi, I'm Miss Davies.
In this lesson, we're going to be working out the gradient of a line perpendicular to a given line.
What is meant by perpendicular? Lines that's a perpendicular meet at 90 degrees.
The gradient of this line is one.
This is its perpendicular line.
The gradient of... |
# Geometry: Circles
### Contents
page 1 of 2
Page 1
Page 2
#### Characteristics of Circles
Special names are given to geometric figures that lie on or inside circles. Among these geometric figures are arcs, chords, sectors, and segments.
#### Arc
The arc of a circle consists of two points on the circle and all ... |
# Domain and Range of Rational Functions
In this article, we will learn how to find the domain and range of a rational function either by using its graph or by using definite algebraic rules. We will start by doing a brief review of what domain and range mean.
Then, we will look at the methods used to find the domain... |
# PS 42X Grade 5 Chapter 6
### Chapter 6 Add and Subtract Fractions with Unlike Denominators
Online Resources:
Stage 4 Fluencies:
• Generating equivalent fractions for benchmark fractions.
• Decomposing fractions
Routines:
• Skip counting by fractional amounts and converting between mixed fractions and improper f... |
# How do you solve (a-2)(a+4)>0?
Dec 5, 2016
The answer is x in ] -oo,-4 [ uu ] 2,+oo [
#### Explanation:
Let $f \left(a\right) = \left(a - 2\right) \left(a + 4\right)$
Then we do a sign chart
$\textcolor{w h i t e}{a a a a}$$a$$\textcolor{w h i t e}{a a a a}$$- \infty$$\textcolor{w h i t e}{a a a a}$$- 4$$\textc... |
# 2023 AMC 12A Problems/Problem 10
## Problem
Positive real numbers $x$ and $y$ satisfy $y^3=x^2$ and $(y-x)^2=4y^2$. What is $x+y$? $\textbf{(A) }12\qquad\textbf{(B) }18\qquad\textbf{(C) }24\qquad\textbf{(D) }36\qquad\textbf{(E) }42$
## Solution 1
Because $y^3=x^2$, set $x=a^3$, $y=a^2$ ($a\neq 0$). Put them in $(... |
NCERT Solutions: Symmetry
# NCERT Solutions for Class 8 Maths - Symmetry- 1
## Exercise 12.1
Q1: Copy the figures with punched holes and find the axes of symmetry for the following:
Ans:
A figure has a line of symmetry, if there is a line about which the figure may be folded so that the two parts of the figure wil... |
# How To Do A Five Number Summary? (Best solution)
Following are the steps to creating a five-number summary.
1. Ascending order (from smallest to largest) is the first step.
2. Step 2 is determining the lowest and maximum values for your data collection. Step 3: Calculate the mean and the median. Fourth, put parenth... |
# Geometric Series – Definition, Formula, and Examples
The geometric series plays an important part in the early stages of calculus and contributes to our understanding of the convergence series. We can also use the geometric series in physics, engineering, finance, and finance. This shows that is essential that we kn... |
# APEX Calculus
## Section10.3Calculus and Parametric Equations
The previous section defined curves based on parametric equations. In this section we'll employ the techniques of calculus to study these curves.
We are still interested in lines tangent to points on a curve. They describe how the $$y$$-values are changi... |
# Pie Chart
In a pie chart, the various observations or components are represented by the sectors of a circle and the whole circle represents the sum of the values of all components.
The central angle for a component is given by:
Central angle for a component = $$\frac{\textbf{Value of the component}}{\textbf{Sum of... |
# How exactly do differential equations work?
My textbook says that solutions for the equation $y'=-y^2$ must always be 0 or decreasing. I don't understand—if we're solving for y', then wouldn't it be more accurate to say it must always be 0 or negative. Decreasing seems to imply that we're looking at a full graph, ev... |
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