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# The Radii of Two Cylinders Are in the Ratio 2 : 3 and Their Heights Are in the Ratio 5 : 3. Calculate the Ratio of Their Curved Surface Areas. - Mathematics
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. Calculate the ratio of their curved surface areas.
#### Solution
$... |
# Solving logarithmic equations
In algebra, one of the most important concepts is Solving logarithmic equations. Our website can solving math problem.
## Solve logarithmic equations
We will also provide some tips for Solving logarithmic equations quickly and efficiently The sine function is used to find the angle be... |
# Find a least-squares solution of Ax=b by (a) constructing the
Find a least-squares solution of Ax=b by (a) constructing the normal equations for $$\displaystyle\hat{{{x}}}$$ and (b) solving for $$\displaystyle\hat{{{x}}}$$
$A=\begin{bmatrix}2&1\\-2&0\\2&3\end{bmatrix},b=\begin{bmatrix}-5\\8\\1\end{bmatrix}$
• Quest... |
# SSC CGL solved question paper Tier-I exam held on 31stAug 2016: Quantitative Aptitude
In this article, you will find 25 solved questions of Aptitude section asked in SSC CGL tier-1 exam held on 31stAugust, 2016 (Morning shift) with appropriate questions analysis-
Created On: May 25, 2018 13:43 IST
Modified On: Jun ... |
This calculator helps you compute the mean, variance, and standard deviation of a binomial distribution from your input for the number of trials and the probability of success. The mean and standard deviation of the binomial distribution are useful when using the normal distribution as an approximation to the binomial ... |
# CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and Differentiability Ex 7(l)
Odisha State Board Elements of Mathematics Class 12 CHSE Odisha Solutions Chapter 7 Continuity and Differentiability Ex 7(l) Textbook Exercise Questions and Answers.
## CHSE Odisha Class 12 Math Solutions Chapter 7 Continuity and... |
# What is the limit of ((64x^2 +x)^(1/2) -8x) as x approaches infinity?
May 23, 2016
${\lim}_{x \rightarrow \infty} \left(\sqrt{64 {x}^{2} + x} - 8 x\right) = \frac{1}{16}$
#### Explanation:
${\lim}_{x \rightarrow \infty} \left(\sqrt{64 {x}^{2} + x} - 8 x\right)$ has indeterminate initial form $\infty - \infty$.
W... |
# Cardinal Numbers and Ordinal Numbers
Cardinal numbers and ordinal numbers are explained here with the help of colorful pictures.
We count the number of objects like this:
One, two, three, four, five, six, seven, eight, nine, ten, eleven, ...
The number on which our counting ends tells us the number of objects. Su... |
# Help with math problems online
There is Help with math problems online that can make the technique much easier. We can solving math problem.
## The Best Help with math problems online
Help with math problems online can be found online or in mathematical textbooks. This results in an equation that only contains one... |
P. 1
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# calculus
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Suppose x0 is an interior point of the domain of a function f(x), and f(x)
is differentiable at x0. Assume also that f(x0) and f (x0) are known. The
method of approximation by differentia... |
Oct 12 Rearranging Series
Take a look at the infinite grid below. The main diagonal is filled with 0s, and each column has an infinite geometric series of positive numbers below the 0, while each row has an infinite geometric series of negative numbers after the 0.
If we sum every column we get 1, then 1/2 (since the... |
# How do you solve -3- 2| 4x - 5| \geq 1?
Apr 17, 2017
This problem has no solution
#### Explanation:
$- 3 - 2 | 4 x - 5 | \ge 1$
Add $3$ to both sides
$\cancel{- 3 \textcolor{b l u e}{+ 3}} - 2 | 4 x - 5 | \ge 1 \textcolor{b l u e}{+ 3}$
$- 2 | 4 x - 5 | \ge 4$
Divide both sides by $- 2$, when you are dividing... |
# Percentage of a Number
How to find percentage of a number?
We will follow the following steps for finding percent of a number:
Step I: Obtain the given number
Step II: Multiply the number by the required percentage i.e.,
x % of a = x/100 × a
Solved examples to find the percent of a number:
1. Find 17 % of $170... |
# How to determine if a function is one-to-one?
I am looking for the "best" way to determine whether a function is one-to-one, either algebraically or with calculus. I know a common, yet arguably unreliable method for determining this answer would be to graph the function. However, this can prove to be a risky method ... |
### Building Tetrahedra
Can you make a tetrahedron whose faces all have the same perimeter?
### Ladder and Cube
A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?
Four rods are ... |
Calculus 2 : Comparing Series
Example Questions
Example Question #11 : Comparing Series
We consider the following series:
Determine the nature of the convergence of the series.
The series is divergent.
The series is divergent.
Explanation:
We will use the Comparison Test to prove this result. We must note the f... |
# Purple math calculator solver
There are a lot of Purple math calculator solver that are available online. Let's try the best math solver.
## The Best Purple math calculator solver
In this blog post, we will show you how to work with Purple math calculator solver. How to solve perfect square trinomial? This is a al... |
## - Geometric Progressions
A sequence $$a_1, a_2, a_3, … , a_n,…$$ is called a geometric sequence, or geometric progression, if there exists a non-zero constant $$r$$, called the common ratio, such that
$$a_1$$
$$a_2=a_1 r$$
$$a_3=a_2 r$$
$$=a_1 rr$$
$$=a_1 r^2$$
Therefore,
$$a_n=a_1 r^{n-1}, n>1$$ or $$\displaystyl... |
# How do you differentiate y=ssqrt(1-s^2)+arccoss?
Oct 30, 2017
$\frac{\mathrm{dy}}{\mathrm{ds}} = \frac{- 2 {s}^{2}}{\sqrt{1 - {s}^{2}}}$
#### Explanation:
Start by splitting into two separate bits and differentiating them one at a time (sorry for sticking in random letters all over the place - I have tried to avo... |
This is a free sample lesson. Sign up for Magoosh to get access to over 200 video lessons.
## Right Triangles
### Transcript
Okay, now we can talk about right triangles. Right triangles are triangles that contain one right angle, that is, an angle of 90 degrees. Obviously, each of the other two angles must be acute,... |
# How to Use the Newton method to find the square root of a number
Source: Internet
Author: User
An exercise for Scip 1.1.7.
The Newton's method is also called the Newton-Raphson method ), it is an approximate method proposed by Newton in the 17th century to solve equations in real and complex fields. Most equations... |
# AP Statistics Curriculum 2007 Estim L Mean
## General Advance-Placement (AP) Statistics Curriculum - Estimating a Population Mean: Large Samples
This section discusses how to find point and interval estimates when the sample-sizes are large. For most applications, sample-sizes exceeding 100 may be considered as lar... |
# Find Partial Derivatives ∂z/∂x and ∂z/∂y Given z = f(x)g(y), find z_x+z_y .
The question aims to find the output based on a partial derivative using a given function. In mathematics, the output of one component of several variables is its output relative to one of those variables. At the same time, the other is kept... |
chapter 6 homework
# chapter 6 homework - Chapter 6 APPLICATIONS OF THE...
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# Sequence And Series
A sequence in mathematics is a collection of objects (or events) that have been sorted sequentially so that each item occurs before or after every other member. A series is the sum of a set of terms. A series is a collection of integers having additional operations b... |
10
Apr 02, 2018
## Documents
nguyentruc
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Transcript
• 4 G R A D E
New York State Common Core
Mathematics Curriculum
Module 6: Decimal Fractions Date: 1/30/15
i
GRADE 4 MODULE 6 Decimal Fractions
Module Overview ............................................................................ |
20 Oct Nailing Pattern: How much do you need?
CTE Goal:
Have students understand nailing patterns and the requirements. Students will learn the quantities of fasteners needed for different portions of the home building process.
Math Goal:
Students will calculate rates (slopes), equations of lines, and graph the equ... |
# Consider the expansion of (3x^2 - \frac{1}{x})^9. Find the constant term in this expansion.
## Question:
Consider the expansion of {eq}(3x^2 - \frac{1}{x})^9. {/eq} Find the constant term in this expansion.
## Binomial Theorem:
The Binomial Theorem states the following formula for expanding a binomial {eq}(a+b) {... |
<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.
# Exponential Properties Involving Products
## Add exponents to multiply exponents by other exponents
Estimat... |
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### Course: AP®︎/College Calculus AB>Unit 2
Lesson 1: Defining average and instantan... |
# How do you factor 2x^2-x-15 ?
Aug 8, 2015
$\left(2 x + 5\right) \left(x - 3\right)$
Lol I hope you aren't trying to find your homework answers online to copy!
#### Explanation:
Firstly, consider the first term. Since it's $2 {x}^{2}$, there are only two linear factors that it can be 'broken down' into: $x$ and $... |
# Subtraction With Regrouping
Contributor: Ashley Nail. Lesson ID: 13416
Have you ever visited a farmer's market? There are so many fruits and vegetables, but sometimes you have to regroup. Learn how to subtract with borrowing and regrouping!
categories
## Arithmetic
subject
Math
learning style
Visual
personality ... |
# Prefix Sum Technique
In an array of integers n, the prefix sum array is the array whose every element is the sum of all elements, of the original array, up to the current index.
Example:
```Given an array of n=5 , array[]={1,2,3,4,5}
Its Prefix Sum array will be p[].
p[0]=array[0]=1;
p[1]=array[0]+array[1]=1+2=3;
... |
Divciparu skaitļa reizināšana ar viencipara skaitli
Kā sareizināt $\phantom{\rule{0.147em}{0ex}}29\cdot 3\phantom{\rule{0.147em}{0ex}}$ ?
Zinām, ka reizināšana ir saīsināti pierakstīta summa: $29\cdot 3=29+29+29$.
1) var saskaitīt šos skaitļus un iegūt pareizu rezultātu $$87$$.
2) rezultātu var iegūt ar reizināšanu... |
# Maths Fun » 10 Maths Tricks
Why should you be interested in math? Almost every really great career uses math in some form and when you are good at math you can have a very successful future. This series has a collection of shortcut mental mathematics tricks you can pull on your friends and you’ll know the answer bef... |
# Question Video: Finding Slopes of Straight Lines Mathematics • 8th Grade
π΄π΅ is parallel to the π¦-axis. If the coordinates of the points π΄ and π΅ are (π, 2) and (8, 6), respectively, find the value of π.
01:44
### Video Transcript
The line π΄π΅ is parallel to the π¦-axis. If the coordinat... |
Linear and Angular Speeds, Area of Sectors, and Length of Arcs
This section covers:
Around the time you’re learning about radian measures, you may have to work with Linear and Angular Speeds, and also Area of Sectors and Lengths of Arcs.
Note: For the purposed of this section, we will talk about linear speed and ang... |
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# The Isosceles Triangle Theorem in Geometry
## What is the Isosceles Triangle Theorem?
The isosceles triangle theorem states that if two sides of a triangle are congruent (or equal in length), then the angles opposite to those two sides are also congruent. This theorem is used to determine the ... |
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# Find the sum of first 100 terms -5,-4,-3,-2,-1,0,1,2………using Gauss method.
Last updated date: 12th Aug 2024
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Hint: Gauss method is applicable only to arithmetic progression and from t... |
iGCSE (2021 Edition)
# 3.09 Elimination method for simultaneous equations
Worksheet
The elimination method
1
Consider the following linear equations:
\begin{aligned} 3x +7y &=-6 \\ 2x - y &= -\dfrac{45}{7} \end{aligned}
a
What number should the second equation be multiplied by to eliminate y?
b
Eliminate y and ... |
Henri Picciotto
Back in 1996, I was asked to contribute some problems to an Australian school mathematics site. I chose three deep problems involving mostly addition, all taken from the textbook I co-authored with Anita Wah, Algebra: Themes, Tools, Concepts (lessons 5.5, 5.8, and 5.9.) The entire book is now available... |
# Subset Calculator
Enter the comma-separated values of a set and hit calculate button to find the subsets using the subset calculator
Give Us Feedback
## Subset Calculator
Subset calculator is used to evaluate the possible subsets of the given set. This subsets calculator finds the subsets of sets up to 10 element... |
Collection of recommendations and tips
# How can you use tables graphs and equations to represent proportional situations?
## How can you use tables graphs and equations to represent proportional situations?
How can you use tables, graphs, and equations to represent proportional situations? Sample answer: If the rat... |
We have learned by Quadratic equation is previous chapter
so for a $\neq$ 0
$ax^2+bx+c > 0$
or
$ax^2+bx+c < 0$
or
$ax^2+bx+c \geq 0$
or
$ax^2+bx+c \leq 0$
are called Quadratic Inequation in one Variable
## Steps to solve Quadratic or polynomial inequalities
$ax^2+bx+c > 0$
or
$ax^2+bx+c < 0$
or
$ax^2+bx+c \geq 0$
or
... |
Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :
Evaluating Definite Integrals
Integration and differentiation are the two important process in Calculus. Differentiation is the process of finding the derivative of a function, whereas integration is the reverse proces... |
# 2008 AIME I Problems/Problem 4
## Problem
There exist unique positive integers $x$ and $y$ that satisfy the equation $x^2 + 84x + 2008 = y^2$. Find $x + y$.
## Solution
### Solution 1
Completing the square, $y^2 = x^2 + 84x + 2008 = (x+42)^2 + 244$. Thus $244 = y^2 - (x+42)^2 = (y - x - 42)(y + x + 42)$ by diffe... |
# 1/4 divided by 12
#### Understand the Problem
The question is asking for the result of dividing one-fourth by twelve. This is a mathematical operation that will involve simplifying the fraction or converting it into decimal form.
The result of dividing one-fourth by twelve is $\frac{1}{48}$.
The final answer is $... |
Krishna
0
Step 1: Recall the properties of similar figures
Similar figures have the same shape but not necessarily the same size.
Properties:
1. Corresponding sides are proportional. (The ratios of the corresponding sides are equal.)
2. Corresponding angles are congruent.
Step 2: Look at the given figure and note... |
### Popular Tutorials in
#### How is a Function Defined?
You can't go through algebra without learning about functions. This tutorial shows you the definition of a function and gives you an example of a function. Take a look!
#### What's Slope-Intercept Form of a Linear Equation?
When you're learning about linear e... |
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3. The Area under a Curve
by M. Bourne
A building has parabolic archways and we need to supply glass to close in the archways. How much glass is needed?
To answer this, we need to know the area under the curve.
1. Using an approximation (finding areas of rectangles)
2. Using integration
Befor... |
## ACT test prepthat actually works
### BRAIN-COMPATIBLE ACT PREP
Solution Page
The Locker Problem
We want thank all who attempted the January 2017 Math Challenge. We hope you enjoyed and learned from the problem.
For those who missed it, here was the challenge problem:
Imagine 100 lockers numbered 1 to 100 with ... |
Textbook Notes (368,831)
QMS 102 (49)
Chapter 5-8
# QMS 102 Chapters 5-8 Review Sheet.pdf
5 Pages
351 Views
School
Department
Quantitative Methods
Course
QMS 102
Professor
Clare Chua
Semester
Winter
Description
Chapter 5 – Basic Probability Probability is determining the probability that a particular event will occ... |
## Intermediate Algebra (12th Edition)
$3a(p+q) \left( -3a-a^{2}p+a^2q+2p^2+4pq+2q^2 \right)$
$\bf{\text{Solution Outline:}}$ Get the $GCF$ of the given expression, $-9a^2(p+q)-3a^3(p+q)^2+6a(p+q)^3 .$ Divide the given expression and the $GCF.$ Express the answer as the product of the $GCF$ and the resulting quotient.... |
Instruction
1
Imagine that some point A for a certain period of time t has passed a way's. The equation of motion of point A can be written in the following form:
s=f(t), where f(t) is a function of distance traveled
Because the speed is found by dividing the path for a while, it is a derivative way, and, accordingly, ... |
# Trigonometric Ratios
## Trigonometric Ratios
Trigonometry deals with the measurement of triangles, that is, it deals with the relationship between the sides and angles of triangles.
********************
10 Math Problems officially announces the release of Quick Math Solver and 10 Math ProblemsApps on Google Play ... |
# The length 5
The length and breadth of rectangular field is 3 1/5 m and 1 3/7 m. Find the area of rectangular field.
A = 4.5714 m2
### Step-by-step explanation:
Did you find an error or inaccuracy? Feel free to write us. Thank you!
#### You need to know the following knowledge to solve this word math problem:
... |
### Simple Interest Formula
#### Lesson Objective
In this lesson, we will learn about the simple interest formula and the maturity value formula...
In this lesson, we will:
• Learn about the basics behind simple interest.
• See the steps to derive the simple interest formula. (1st math video).
• See the steps to de... |
# How do you use synthetic division to divide 4x^3 + 7x^2 – 13x – 3 by x + 3?
Jul 30, 2015
$\textcolor{red}{\frac{4 {x}^{3} + 7 {x}^{2} - 13 x - 3}{x + 3} = 4 {x}^{2} - 5 x + 2 - \frac{9}{x + 3}}$
#### Explanation:
Step 1. Write only the coefficients of $x$ in the dividend inside an upside-down division symbol.
$|... |
Home | | Maths 7th Std | Exercise 2.4 (Simple Interest)
# Exercise 2.4 (Simple Interest)
7th Maths : Term 3 Unit 2 : Percentage and Simple Interest : Simple Interest : Exercise 2.4 : Text Book Back Exercises Questions with Answers, Solution
Exercise 2.4
1. Find the simple interest on ₹ 35,000 at 9% per annum for 2 ... |
Multiply by 12 - How to Multiply by 12 Video
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# Multiplication
Page 4 / 6
## Activity 10:
• To determine the equivalence and validity of different representations [LO 2.6.3]
• To use strategies to check solutions [LO 1.11]
1. In Activity 1.9 you used your own techniques and strategies to solve the problems. In your feedback to the class you probably noticed t... |
[Maths Class Notes] on Matrices Pdf for Exam
An array of numbers arranged in a rectangular fashion and divided between rows and columns is called a matrix in mathematics. They are usually represented by writing all the numbers contained in them within square braces. There are many types of matrices and many operations... |
#### Trigonometric Ratios of Sub Multiple Angles
Trigonometric Ratios of sub - multiple Angles
If A is an angl, then $$\frac{A}{2}$$, $$\frac{A}{3}$$, $$\frac{A}{4}$$ etc. are called sub - multiple angles of A. In this section we wilol discuss about the trigonometric ratios of angle A in terms of $$\frac{A}{2}$$ and ... |
# Fractional Indices with Algebraic Terms
Lesson
The fractional index rule states:
$x^{\frac{1}{n}}=\sqrt[n]{x}$x1n=nx
Let's look at why this is true using the multiplication law.
Let's say I wanted to solve $25^{\frac{1}{2}}\times25^{\frac{1}{2}}$2512×2512. Using the multiplication law, this would be the same as ... |
# Chapter-11: Circle
Question 1: A chord of 16 cm is drawn in a circle of radius 10 cm . Find the distance of the chords the centre of the circle.
Sol.
Let AB be a chord of the given circle with center O and radius 10 cm. Then, OA = 10 cm and AB = 16 cm. From O, draw OL ⊥ AB. We know that the perpendicular from the... |
## Real Mathematics – Strange Worlds #18
Every year in December, each city changes drastically. Suddenly we find ourselves surrounded by decorations that remind us of the upcoming new year.
Steve the teacher starts to decorate his classrooms for the new year like he does every year. Though, Steve the teacher set his ... |
Paul's Online Notes
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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 views in l... |
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# JEE Advanced 2023 Revision Notes for Probability
Last updated date: 19th Sep 2024
Total views: 108.6k
Views today: 2.08k
One of the most scoring chapters in the JEE Advanced Maths syllabus is Probability. This chapter introduces the concepts o... |
# Simplify Like Terms With Several Variables
In this worksheet, students will simplify like algebraic terms involving several variables.
Key stage: KS 3
Curriculum topic: Algebra
Curriculum subtopic: Use Standard Mathematical Formulae
Difficulty level:
#### Worksheet Overview
When we simplify algebraic expr... |
# Math
How can I figure the number of days from one date to another? Example: How many days are from June 21 to Sept. 23? I need to do this without using a calendar.
The first thing you need to know is the number of days in each month. If you don't know this little rhyme, I urge you to memorize it.
Thirty days hath ... |
# Maharashtra Board Practice Set 9 Class 6 Maths Solutions Chapter 4 Operations on Fractions
Balbharti Maharashtra State Board Class 6 Maths Solutions covers the Std 6 Maths Chapter 4 Operations on Fractions Class 6 Practice Set 9 Answers Solutions.
## 6th Standard Maths Practice Set 9 Answers Chapter 4 Operations on... |
Calculus with Applications (10th Edition)
$$2.080$$
\eqalign{ & {\text{We can note that }}\root 3 \of 9 {\text{ is a solution of the equation }}{x^3} - 9 = 0.{\text{ }} \cr & {\text{Let }}f\left( x \right) = {x^3} - 9,\,\,\,\,\,\,f'\left( x \right) = 3{x^2} \cr & {\text{Since 2 < }}\root 3 \of 9 < 3,{\text{ we can use... |
# Lesson Notes By Weeks and Term - Junior Secondary School 1
LEAST COMMON MULTIPLE AND HIGHEST COMMON FACTOR OF WHOLE NUMBERS
SUBJECT: MATHEMATICS
CLASS: JSS 1
DATE:
TERM: 1st TERM
WEEK THREE
TOPIC: LEAST COMMON MULTIPLE AND HIGHEST COMMON FACTOR OF WHOLE NUMBERS
CONTENT
• Multiples
• Common Multiples
• Least... |
# Difference between revisions of "2021 AMC 12A Problems/Problem 9"
The following problem is from both the 2021 AMC 10A #10 and 2021 AMC 12A #9, so both problems redirect to this page.
## Problem
Which of the following is equivalent to $$(2+3)(2^2+3^2)(2^4+3^4)(2^8+3^8)(2^{16}+3^{16})(2^{32}+3^{32})(2^{64}+3^{64})?$... |
Section 6: The Pythagorean Theorem
# Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)
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Section 9.6 The Pythagorean Theorem 959 Version: Fall 2007 9.6 The Pythagorean Theorem Pythagoras. Pythagoras was a Greek mathematician and philosoph... |
# Warm Up
## Warm Up
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript
1. Preview Warm Up California Standards Lesson Presentation
2. Warm Up Part I Add or subtract. 1. 4 + (–6) 2. –3 + 5 2 –2 3. –7 – 7 –14 4. 2 – (–1) 3 5... |
Understanding multiplication right after counting, addition, and subtraction is good. Kids learn arithmetic through a normal progression. This progression of studying arithmetic is usually the subsequent: counting, addition, subtraction, multiplication, and lastly division. This declaration contributes to the query why... |
## Using a Multiplication Table: Overview
The groundwork for multiplication was laid earlier for students when they used objects, number lines, and arrays to multiply. See Using Arrays to Show Multiplication Concepts. Students are now ready to use their understanding of multiplication to explore number patterns. A mul... |
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# What is the slope and intercept of $y = - 3x + 3$?
Last updated date: 13th Jul 2024
Total views: 345k
Views today: 4.45k
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Hint: The equation of a line in slope intercept form is $y = mx + b$ where $m$ is the slope is and $b$... |
# What is Half of 3/90?
Are you looking to work out and calculate half of 3/90? In this really simple guide, we'll teach you exactly what half of 3/90 is and walk you through the step-by-process of how to calculate half of any fraction.
As always with our series of calculation posts, it's important to remember that t... |
# 5.13: Scale Distances or Dimensions
Difficulty Level: At Grade Created by: CK-12
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# Math help from the Learning Centre
This guide provides useful resources for a wide variety of math topics. It is targeted at students enrolled in a math course or any other Centennial course that requires math knowledge and skills.
## Operations on Signed numbers
Real Numbers are not just out of thin air, but have... |
# How do you simplify (-1)^(-1/8)?
##### 2 Answers
Dec 28, 2015
Deleted answer.
Dec 28, 2015
${\left(- 1\right)}^{- \frac{1}{8}} = \frac{\sqrt{2 + \sqrt{2}}}{2} - \frac{\sqrt{2 - \sqrt{2}}}{2} i$
#### Explanation:
We can use the half angle formulas to find $\cos \left(\frac{\pi}{8}\right)$ and $\sin \left(\frac{\... |
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How many committees can be made from 15 people that have at least 2 people in each committee?
In mathematics, permutation is known as the process of arranging a set in which all the members of a set are arranged into some series or order. The process of permuting is known a... |
Primes
Primes - ECE 3250 PRIME NUMBERS AND FACTORIZATION Fall 2008...
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ECE 3250 PRIME NUMBERS AND FACTORIZATION Fall 2008 I think you all know what a prime number is, but let’s start from the beginning. Given two natural numbers a and b , we say that a i... |
# Question Video: Adding Two Lengths in Centimeters Mathematics
If I stack these cubes on top of each other, what will the total height be?
02:11
### Video Transcript
If I stack these cubes on top of each other, what will the total height be?
In the picture underneath the question, we can see two cubes. At the mom... |
# 16.2 - Finding Normal Probabilities
16.2 - Finding Normal Probabilities
## Example 16-2
Let $$X$$ equal the IQ of a randomly selected American. Assume $$X\sim N(100, 16^2)$$. What is the probability that a randomly selected American has an IQ below 90?
#### Solution
As is the case with all continuous distributio... |
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# Grade 4 Math Standards Resources
It is recommended that teachers review activities and read the associated directions and/or lesson plan ideas prior to using them with their students. In some cases, the activities are very ... |
# Working With Retail Purchases & Taxes
in Mathematics13 days ago
Hi there. In this educational math post, I go over the basic mathematics when it comes to comparing products with taxes and discounts in mind. This topic is very useful when it comes to purchasing decisions.
The motivation behind this post is when I w... |
From a Parallelogram to a Rectangle - Examples, Exercises and Solutions
From the Parallelogram to the Rectangle
Do you want to know how to prove that the parallelogram in front of you is actually a rectangle?
First, you should know that the formal definition of a rectangle is a parallelogram whose angle is $90^o$ deg... |
Solved (Free): An admissions officer has determined that the population of applicants to the MBA program has undergraduate GPA that are approximately
ByDr. Raju Chaudhari
Mar 31, 2021
An admissions officer has determined that the population of applicants to the MBA program has undergraduate GPA' that are approximate... |
# How do you simplify the expression (-2c + 3d)(-5) + 3(2c) - (-8d)?
Apr 11, 2015
We facortise this expression using the PEMDAS rule
(Parentheses > Exponents > Mult and Div > Add and Subtract)
$\left(- 2 c + 3 d\right) \left(- 5\right) + 3 \left(2 c\right) - \left(- 8 d\right)$ is the expression given to us.
We Mul... |
# VERIFYING TRIGONOMETRIC IDENTITIES
Fundamental Trigonometric Identities
The Reciprocal and Quotient Identities have been introduced earlier. They will be presented one
more time
because we will have to use them again in our next work. Relearn them !!!
Reciprocal Identities
Quotient Identities
Identities for Negat... |
# Convert one to mebi
Learn how to convert 1 one to mebi step by step.
## Calculation Breakdown
Set up the equation
$$1.0={\color{rgb(20,165,174)} x}\left(mebi\right)$$
Define the prefix value(s)
$$The \text{ } value \text{ } of \text{ } mebi \text{ } is \text{ } 2.0^{20}$$
Insert known values into the conversion eq... |
# Simplify expressions involving algebraic roots
Lesson
We've already looked at evaluating square roots and cube roots in Know Your Numerical Roots. However, we can also evaluate roots of algebraic terms. The answers to algebraic roots are often just simplified algebraic terms, so don't be expecting nice neat whole n... |
# Question Video: Solving Systems of Quadratic Equations Graphically Mathematics • 9th Grade
Use the graph to solve the system of equations π¦ = π₯Β² β 10π₯ + 32, π¦ = β2π₯Β² + 20π₯ β 43.
02:46
### Video Transcript
Use the graph to solve the system of equations π¦ equals π₯ squared minus 10π... |
# Statement-1 : The variance of the variates 112, 116, 120,125,132 about their A.M. is 48.8. Statement-2 : σ= ⎷Σni=1fi(xi−¯x)2Σni=1fi
Video Solution
Text Solution
Generated By DoubtnutGPT
## To solve the problem, we need to verify the statements regarding the variance of the given variates and the formula for vari... |
# Math Worksheets Land
Math Worksheets For All Ages
# Math Worksheets Land
Math Worksheets For All Ages
# Ratio and Rates Word Problems Worksheets
When we are working with these types of word problems, we take a slightly different approach to how we are solving these types of problems. With your average everyday o... |
# Median Definition, Formula, and Example (2014)
### Median Definition
Median (a measure of central tendency) is the middle-most value in the data set when all of the values (observations) in a data set are arranged either in ascending or descending order of their magnitude. The median is also considered as a measure... |
### Section 4.4
• 2. The probability is 1/6, approx. = 0.17, since there are 6 equally likely outcomes.
• 4. April has 30 days. The answer is therefore 30/366 , approx. = 0.082.
• 6. There are 16 cards that qualify as being an ace or a heart, so the answer is 16/52, approx. = 0.31. This can also be computed from Theor... |
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