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# The base of the prism is triangular in shape with sides of 3 cm, 4 cm, 5 cm. Find the volume of the prism if it’s height is 10 cm. a) 45 cu.cmb) 50 cu.cmc) 60 cu.cmd) 65 cu.cm
Hint: To solve the question, we have to calculate the area of the triangular base of the prism which when is multiplied with the ... |
## GMAT Decimal
### Introduction
Decimals are a vital concept in mathematics and frequently appear in various sections of the GMAT exam. It is essential to understand decimal algebra, as it will help you solve problems involving decimals quickly and accurately. In this four-part series, we will explore the intricacie... |
# How do you solve y=x-4 and y=-x+2?
Feb 11, 2017
See the entire solution process below:
#### Explanation:
Step 1) Because the first equation is already solved for $y$, substitute $x - 4$ for $y$ in the second equation and solve for $x$:
$y = - x + 2$ becomes:
$x - 4 = - x + 2$
$x - 4 + \textcolor{red}{4} + \tex... |
### 2: Number Sense and Numeration
#### 2.1: Overall Expectations
2.1.1: represent, compare, and order numbers, including integers;
2.1.2: demonstrate an understanding of addition and subtraction of fractions and integers, and apply a variety of computational strategies to solve problems involving whole numbers and ... |
Roving Ranges
Sixth Grade Poster Problem
Statistics and Probability
In this poster problem, students will demonstrate their understanding of the central idea in the Grade 6 Standards in Statistics and Probability: Statistical questions anticipate variability. When you roll four dice and add, you can’t know exactly wh... |
# CIRCLES WORD PROBLEMS
In this section, you will learn how to solve word problems using area and circumference of circles.
Area of circle = πr2
Circumference of circle = 2πr
## Circles Word Problems
Problem 1 :
The diameter of a cart wheel is 2.1 m. Find the distance traveled when it completes 100 revolution... |
2
Q:
# The calendar of the year 2006 was used before in the year?
A) 1990 B) 1995 C) 2002 D) 2000
Explanation:
Given year 2006, when divided by 4 leaves a remainder of 2.
NOTE: When remainder is 2, 11 is subtracted to the given year to get the result.
So, 2006 - 11 = 1995
Q:
26 january 1950 which day of the we... |
# Pie Chart
A pie chart can used to compare the relation between the whole and its components. A pie chart is a circular diagram and the area of the sector of a circle is used in a pie chart. Circles are drawn with radii proportional to the square root of the quantities because the area of a circle is $\pi {r^2}$.
To... |
DISCOVER
# How to Calculate Equilibrant & Resultant
Updated April 17, 2017
Students encounter the equation f=ma soon after they begin to study physics. If an object experiences a net force, it will experience a corresponding acceleration proportional to the magnitude of that net force. When multiple forces simultane... |
## Fractions
Fractions
by Jessica Wesaquate and Andrea Rogers
Strand:
Numbers and Operations
Four
Objectives:
Students will be able to state the shape of the canvas after viewing the video.
Students will be able to relate fractions to a real-life situation.
Students will be able to relate fractions to the Four D... |
Symmetric and skew symmetric matrices
Chapter 3 Class 12 Matrices
Concept wise
### Transcript
Example 22 Express the matrix B = [■8(2&−2&−4@−1&3&4@1&−2&−3)] as the sum of a symmetric and a skew symmetric matrix. B = [■8(2&−2&−4@−1&3&4@1&−2&−3)] B’ = [■8(2&−1&1@−2&3&−2@−4&4&−3)] Finding 𝟏/𝟐 (B + B’) and 𝟏/𝟐 (B − ... |
Hong Kong
Stage 1 - Stage 3
# Estimating Percentages
Lesson
A lot of the time it's hard for us to accurately calculate percentages of amounts in real life, so we'll have to estimate! Because percentages are expressed as something out of a hundred, we can also express them in diagrams of $5,10,100$5,10,100 things or ... |
Blog / Math Learning / How to Do Long Division: Step-by-Step Guide & Examples [With Worksheets]
# How to Do Long Division: Step-by-Step Guide & Examples [With Worksheets]
Ever wondered how to tackle those dauntingly large math problems? How to navigate through numbers that seem like a maze? Fear not! Today, we’re div... |
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# Division to Solve Decimal Equations
## Solve one - step equations using multiplication.
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Practice Division to Solve Decimal Equations
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Division to Solve Decimal Equations
Have you ever tried to pole vault?
The pole vault is a track... |
# Natural Numbers, Even Numbers, Odd Numbers
13/07/2020
### Natural Numbers
The natural numbers are the counting numbers. It goes like 1, 2, 3, 4, …, and so on. It is interesting to know that if we subtract 1 from any natural number, we get its predecessor (previous number). If we add 1 to any natural numbers, it gi... |
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## Dividing Two-digit Numbers
### Mathematics, Grade 4
1
/
2
Divisibility Rules Division 3 + 3 + 3 + 3 = 12 3 x 4 = 12 Division is repeated subtraction and the inverse operation of multiplication. Divide 8 tens by 6. Each group gets 1 ten, with 2 tens remaining. To check your answer... |
# A and B are two mutually exclusive events of an experiment: If P(not A) = 0.65, P(A∪B)=0.65 and P(B) = p, then the value of p is
A
0.35
B
0.25
C
0.30
D
0.40
Video Solution
Text Solution
Generated By DoubtnutGPT
## To solve the problem step by step, we will use the information given about the events A and B.... |
## Posts
Showing posts from December, 2013
### Santa's Dice Game
Q: Santa offers you to play a game of dice. You get to roll a dice six times. You can stop rolling whenever you wish and you get the dollar amount shown on that roll. What is an optimal strategy to maximize your payoff?
Probability and Statistics (4th... |
RD Sharma 2017 Solutions for Class 7 Math Chapter 19 Visualising Solid Shapes are provided here with simple step-by-step explanations. These solutions for Visualising Solid Shapes are extremely popular among class 7 students for Math Visualising Solid Shapes Solutions come handy for quickly completing your homework and... |
Section 6: Optimization
# Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)
This preview shows pages 1–3. Sign up to view the full content.
Section 5.6 Optimization 529 Version: Fall 2007 5.6 Optimization In this section we will explore the science of optimization. Suppose that you are trying to fin... |
## Section3.2Unit Vectors
A unit vector is a vector of magnitude $1\text{.}$ Usually we denote a unit vector with a carat symbol $\wedge$ over the letter representing the vector rather than an arrow $\rightarrow$ symbol. For instance, a unit vector $\hat u_{E}$ might denote a unit vector in the direction of East.
Say... |
# What is the range of the function g(x) = (x-3)/(x+1)?
May 30, 2017
$x \in \mathbb{R} , x \ne - 1$
$y \in \mathbb{R} , y \ne 1$
#### Explanation:
$g \left(x\right) \text{ is defined for all real values of x except the value}$
$\text{that makes the denominator equal to zero}$
$\text{equating the denominator to zer... |
## University Calculus: Early Transcendentals (3rd Edition)
Published by Pearson
# Chapter 3 - Section 3.8 - Derivatives of Inverse Functions and Logarithms - Exercises - Page 175: 50
#### Answer
$$y'=\frac{2\sin\theta+2\theta\cos\theta-\theta\sin\theta\tan\theta}{2\sec\theta}$$
#### Work Step by Step
$$y=\frac{\... |
# The main property of fractions.
Speaking of math, one can not forget fraction.Their study paid a lot of attention and time.Think how many examples you had to solve in order to learn certain rules of work with fractions as you remember and apply the basic property of fractions.How many nerves were spent to find a com... |
# Is 3 a square root?
• Last Updated : 04 Oct, 2021
The arithmetic value which is used for representing the quantity and used in making calculations are defined as Numbers. A symbol like “4,5,6” which represents a number is known as a numeral. Without numbers, we can’t do counting of things, date, time, money, etc., ... |
The numerator approaches 5 and the denominator approaches 0 from the left hence the limit is given by. &=\frac{\displaystyle 2⋅\left(\lim_{x→2}x\right)^2−3⋅\lim_{x→2}x+\lim_{x→2}1}{\displaystyle \left(\lim_{x→2}x\right)^3+\lim_{x→2}4} & & \text{Apply the power law. We now use the squeeze theorem to tackle several very ... |
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# TutorMe Blog
## How to Find Cube Roots and Perfect Cubes
Inactive
Jana Russick
May 13, 2021
In order to figure out how to find cube roots, you must review square roots. Finding the square root of a number means determining what other number needs to be multiplied by itself to get the origi... |
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# Test of Mathematics Solution Objective 401 – Trigonometric Series
This is a Test of Mathematics Solution (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entranc... |
# Math Snap
## Let $x_{n}=\sqrt[n]{1+2^{n(-1)^{n}}}$ for $n \in \mathbb{N}$. Then Select one: a. $\operatorname{\operatorname {lim}}\left(x_{n}\right)=\sqrt{2}$ and $\operatorname{\operatorname {lim}}\left(x_{n}\right)=0$ $\operatorname{bim}\left(x_{n}\right)=\ln (2)$ and $\operatorname{Iim}\left(x_{n}\right)=1$ c. No... |
8 + 3 = 11. In simple terms, this fraction and whole number calculator allows you to solve fraction problems with whole numbers and fractions form. If one of the denominators is divisible by the other, the larger denominator is the LCM. Make your quotient the new whole number. 10 + 2. Take your remainder and place it o... |
Home » Math Theory » Graphs and Charts » Graphing Percentages
# Graphing Percentages
## Introduction
When expressing a fraction or ratio as a portion of one hundred, percentages are a significant mathematical and practical concept. Percentages are frequently applied in a range of disciplines, including science, fina... |
# LESSON #25 - EXPONENTIAL MODELING WITH PERCENT GROWTH AND DECAY COMMON CORE ALGEBRA II
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## Transcription
1 1 LESSON #5 - EXPONENTIAL MODELING WITH PERCENT GROWTH AND ... |
Equation of a circle in standard form, Formula, practice problems, and pictures. How to express a circle with given radius in standard form...
# Equation of a Circle
Standard form equation of a Circle
The standard form equation of a circle is a way to express the definition of a circle on the coordinate plane.
On... |
Middle Years
# 10.03 Measuring the centre and spread
Lesson
## Measures of centre
### Mean
The mean is often referred to as the average. To calculate the mean, add all the scores in a data set, then divide this by number of scores.
To find the mean from a graphical representation, we can use a frequency table to ... |
Math Cracks – A Cool Approach to Integration by Parts
Introduction
The idea of integration by parts sounds quite scary for many Calculus students, and I think there is a good reason for that. First of all, integration by parts is a technique that involves two steps (or more) instead of one step as most students would... |
The segment addition postulate states the following for 3 points that are collinear.
Consider the segment on the right.
If 3 points A, B, and C are collinear and B is between A and C, then
AB + BC = AC
Using the segment addition postulate to solve a problem.
Suppose AC = 48, find the value of x. Then, find the l... |
# Quadratic Equation – Quiz 4
Home > > Tutorial
5 Steps - 3 Clicks
# Quadratic Equation – Quiz 4
### Introduction
Quadratic Equation is one of important topic in Quantitative Aptitude Section. In Quadratic Equation – Quiz 4 article candidates can find questions with an answer. By solving this questions candidates c... |
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High School Mathematics1.20 Linear Equations - Two Variables
Linear equation with one variable: has one solution. Example: x + 4 = 12 x + 2x + 6 = 9 simplifi... |
Taking Down the Matrix
By Leo Lam
(Test Preparation (ACT/SAT/SSAT), Math and Physics tutor at The Edge Learning Center)
Disclaimer: no, I will not be giving you a choice of blue pill or red pill.
In my last blog, I talked about the complex number, a topic that is becoming more prominent in both SAT and ACT. Today, ... |
## G2 - Determinants
#### Example 1 π
Show how to compute the determinant of the matrix
$A= \left[\begin{array}{cccc} -2 & 3 & 0 & 5 \\ -6 & 1 & 6 & 1 \\ 3 & 0 & 0 & -1 \\ -5 & 6 & 4 & -3 \end{array}\right] .$
.
$\operatorname{det}\ \left[\begin{array}{cccc} -2 & 3 & 0 & 5 \\ -6 & 1 & 6 & 1 \\ 3 & 0 & 0 & -1 \\... |
# Summation Series to Product Series Part 1.
Here's something interesting I found out last year. I don't know if its been done before but I strongly suspect it has.
Consider a summation series of form $S(n) = \sum_{k = 1}^{k = n}\frac{f(k)}{k!}$ such that $f(1) = 1$.
Now let's do something unusual and create the fol... |
## IB Math AA SL Paper 1 Question Bank
The IB Math AA SL Paper 1 Question Bank is a great resource for students who are preparing for the IB Math AA SL exam. The Question Bank contains a wide variety of questions that cover all of the topics on the exam, and it is a great way to get extra practice before the big day. ... |
# Can you please show me the steps as to how the problem `1/2 + 3/8` equals to `4/8+3/8` as the answer.
## Expert Answers
It looks like the question you're asking about looks like this:
`1/2+3/8 = 4/8+3/8`
If this is true, here is how and why you convert the 1/2 to 4/8.
When adding fractions, you can only add them... |
# Everything You Need To Know About Multiplication and Division of Fractions
The Difference between Arithmetic and simple mathematics is confusing to people including kids. Arithmetic is a branch of mathematics that only deals with the study of numbers. Maths includes everything. The basic or the fundamentals of Mathe... |
# Solve each of the following quadratic equations:
Question:
Solve each of the following quadratic equations:
(i) $\frac{x}{x-1}+\frac{x-1}{x}=4 \frac{1}{4}, \quad x \neq 0,1$
(ii) $\frac{x-1}{2 x+1}+\frac{2 x+1}{x-1}=2, x \neq-\frac{1}{2}, 1$
Solution:
(i)
$\frac{x}{x-1}+\frac{x-1}{x}=4 \frac{1}{4}, \quad x \ne... |
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# Stellar Numbers... |
## Wednesday, February 3, 2010
### Vedic Mathematics Lesson 38: Quadratic Equations 2
In the previous lesson, we learned about the solution technique for a type of quadratic equation which consists of a sum or difference of reciprocals on each side of the equal-to sign. We found that solving such equations can be muc... |
Percentage Aptitude Questions PDF
Percentage Aptitude Questions PDF
The word “percent” is derived from the latin words “per centum”, which means “per hundred”.
A percentage is a fraction with a denominator of hundred, It is denoted by the symbol %.
Numerator of the fraction is called the rate per cent.
VALUE OF PERC... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
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# Product Estimation with Whole Numbers and Fractions
## Estimate multiplication
Estimated2 minsto complete
%... |
# Question #bcedf
Sep 28, 2017
Length of each side is 248.53 mm 2.d.p.
Interior angle is ${135}^{o}$
#### Explanation:
I don't know if I will be able to explain this with words alone. This is where you desperately need geometrical diagrams. I'll try my best.
If you construct isosceles triangles on the inside of th... |
## Geometric Mean Definition
Geometric mean involves roots and multiplication, not addition and division. You get geometric mean by multiplying numbers together and then finding the ${n}^{th}$ root of the numbers such that the ${n}^{th}$ root is equal to the amount of numbers you multiplied. Geometric mean is useful i... |
# Why must an inverse function be bijective?
Explain why $f^{-1}$ is a function if and only if $f$ is a bijective function.
My attempt:
$f^{1}$ is the inverse relation from B to A $\equiv$ function from B to A
By definition of a function from setA to setB, there is a relation from setA to B. (ARB? relation) such th... |
# McGraw Hill My Math Grade 4 Chapter 2 Lesson 7 Answer Key Subtract Across Zeros
All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 2 Lesson 7 Subtract Across Zeros will give you a clear idea of the concepts.
## McGraw-Hill My Math Grade 4 Answer Key Chapter 2 Lesson 7 Subtract Across Zero... |
### Differentiation
#### Definition
Differentiation is a method used to compute the rate of change of a function $f(x)$ with respect to its input $x$. This rate of change is known as the derivative of $f$ with respect to $x$.
The first derivative of a function $y=f(x)$ is denoted $\dfrac{\mathrm{d}y}{\mathrm{d}x}$, ... |
# How do you write an equation in standard form with 2 points
Our finishing x-coordinate was 6.
Our first step is to eliminate the fractions, but this becomes a little more difficult when the fractions have different denominators! We can simplify it a little bit.
Slope-intercept form linear equations Standard form l... |
# At a Glance - Continuity on Closed and Half-Closed Intervals
When looking at continuity on an open interval, we only care about the function values within that interval.
If we're looking at the continuity of a function on the open interval (a, b), we don't include a and; they aren't invited. No value of x less than... |
#### MAT-12.NO.06
12th Grade (MAT) Targeted Standard (NO) Number and Operations Learners will develop a foundational understanding of the number system, operations, and computational fluency to create connections and solve problems within and across concepts.
## Progressions
• MAT-04.NO.NF.06 Solve authentic wo... |
In the verge of coronavirus pandemic, we are providing FREE access to our entire Online Curriculum to ensure Learning Doesn't STOP!
# Ex.16.1 Q7 Playing with Numbers Solutions - NCERT Maths Class 8
Go back to 'Ex.16.1'
## Question
Find the values of the letters in the following and give reasons for the steps invol... |
# The x and y components of a vector r are r_x = 16 m and r_y = -9.0 m, respectively. (a) Find the...
## Question:
The x and y components of a vector {eq}\vec r {/eq} are {eq}\rm r_x = 16 \ m {/eq} and {eq}\rm r_y = -9.0 \ m {/eq}, respectively.
(a) Find the direction of the vector {eq}\vec r {/eq}?
(b) Find the ma... |
## How can 2.25 be written as a fraction or mixed number?
As now we have 2 numbers after the decimal point, we multiply both numerator and denominator via 100. So, 2.251 = (2.25 × 100)(1 × 100) = 225100.
## What is 2.75 as a mixed fraction?
So as a simplified mixed number, this becomes 2 and 3/4. And after you do a ... |
# 4.5 Add and Subtract Fractions with Different Denominators
### Learning Objectives
By the end of this section, you will be able to:
• Find the least common denominator (LCD)
• Convert fractions to equivalent fractions with the LCD
• Add and subtract fractions with different denominators
• Identify and use fraction... |
### Finding Slope from an Equation Examples and Worksheets
Get here our tutorial lesson, examples, and worksheets about finding slope from an equation. In our previous posts, we discussed finding a slope from a graph and from two given points.
When we are asked to find the slope of a line given two distinct points, i... |
# How to Add Binary Numbers Video
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# Construct the circumcircle and incircle of an equilateral $\Delta ABC$ with side 6cm and center $O$. Find the ratio of radii of circumcircle and incircle.
Last updated date: 23rd Jul 2024
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4... |
+0
# ratios
0
76
3
A bag contains yellow, green, blue, and white marbles. The ratio of yellow, green, blue, and white marbles is 1:2:3:4. If the bag contains 180 marbles, then how many blue marbles are there?
Jun 26, 2023
#1
+95
+3
add all the ratio numbers and then divide it by how many marbles there are.
1+2... |
Home » Math Theory » Operations of Numbers » Matrix Multiplication
# Matrix Multiplication
## What is a matrix?
A matrix is defined as a rectangular array of numbers, symbols, or expressions arranged in rows and columns (plural: matrices). If the array has n rows and m columns, then it is an n×m matrix. The dimensio... |
# Solve the Differential Equation x^2y'' +11xy'+25y=0 ?
Jul 3, 2017
$y \left(x\right) = {c}_{1} {x}^{-} 5 + {c}_{2} {x}^{- 5} \ln x$
#### Explanation:
Substitute the variable:
$t = \ln x$
$y \left(x\right) = \phi \left(\ln x\right) = \phi \left(t\right)$
so that:
$y ' \left(x\right) = \frac{1}{x} \phi '$
$y '... |
# Unit 8 Section 1 : Expansion of single brackets
In this section we consider how to expand (multiply out) brackets to give two or more terms, as shown below:
3 ( x + 6 ) = 3 x + 18
We will start by revising some negative number operations, then move on to multiplying out the brackets.
### Negative number operations... |
# GRE Math : How to subtract exponents
## Example Questions
### Example Question #1 : How To Subtract Exponents
Simplify: 32 * (423 - 421)
3^21
4^4
3^3 * 4^21
3^3 * 4^21 * 5
3^3 * 4^21 * 5
Explanation:
Begin by noting that the group (423 - 421) has a common factor, namely 421. You can treat this like any oth... |
# Looking Through Spectacles
## OBJECTIVE: To learn how to find the least common multiple (LCM)
In previous lessons, you've learned about prime factorization, prime and composite numbers, factors and multiples, and divisibility rules. You also learned how to find the GREATEST COMMON FACTOR (GCF). Climbing Down Trees... |
Hey Developer’s, I’m back with a new topic which is Conditional and Unconditional Probability in the series of statistics foundations.
Quick Refresher
Probability of Union Of Events – Statistics Part 15
So, let’s get started …
Let’s Understand With Example, First
Unconditional Probalility : Probability that it wil... |
Questions from Inside the chapter
Class 10
Chapter 12 Class 10 - Electricity
## How can three resistors of resistances 2 Ω, 3 Ω, and 6 Ω be connected to give a total resistance of (a) 4 Ω, (b) 1 Ω?
Get live Maths 1-on-1 Classs - Class 6 to 12
### Transcript
Question 4 Page 216 How can three resistors of resistance... |
# Laws of Rational Trigonometry
Norman Wildberger is the creator of rational trigonometry, an alternative to classical trigonometry. After using this beautiful theory for about 10 years, I think the main advantages for me have been the ease of derivation and the ease of interpretation. I find it easier and easier to d... |
Jacob Bernoulli
(1654-1705)
vEvery body of discovery is mathematical in form because there is no
other guidance we can have – DARWINv
7.1 Introduction
Suppose you have a suitcase with a number lock. The number
lock has 4 wheels each labelled with 10 digits from 0 to 9.
The lock can be opened if 4 specific digits are ar... |
HOME David Terr Ph.D. Math, UC Berkeley << P.10. Quadratic Equations P.11. Linear Inequalities Thus far, we have only discussed algebraic equations. What about inequalities? The simplest type of equalities are linear inequalities in one variable. (Linear inequalities in two or more variables are considerably more com... |
# How do you graph 3x = 2y by plotting points?
Sep 1, 2017
Plug in values of x and see what their y value is
#### Explanation:
Draw up a table of $x$ and y values, then plot on a chart.
I'd manipulate the equation to $y = \frac{3}{2} x$ because the arithmetic is easier.
$x$ | $y$
$1 | \frac{3}{2} \cdot 1 = \frac{3... |
NCERT Solutions Class 10 Maths Chapter 4 Quadratic Equations – Here are all the Class 10 Maths Chapter 4 Quadratic Equations NCERT Solutions. This solution contains questions, answers, images, step by step explanation of the complete Chapter 4 titled Quadratic Equations in Class 10. If you are a student of Class 10 who... |
# 5 1 Rate of Change and Slope Rate
• Slides: 33
5. 1 Rate of Change and Slope Rate of Change: The relationship between two changing quantities Rate of Change = Change in the dependent variable (y-axis) Change in the independent variable (x-axis) Slope: the ratio of the vertical change (rise) to the horizontal change... |
Series - Maple Help
Series
Main Concept
In mathematics, a series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, while infinite sequences and series continue on indefinitely.
Given an infinite sequence $\left\{{a}_{n}\right\}$, we write the infinite series as
W... |
# Chapter 5: Connectivity Section 5.1: Vertex- and Edge-Connectivity
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## Transcription
1 Chapter 5: Connectivity Section 5.1: Vertex- and Edge-Connectivity Let G be a connected graph. We want to measure how connected G is. Vertex cut: V 0 V such that G V 0 is not con... |
# Specifying Exercise: Chop a Shape Into Simpler Ones
Parent Strategy: Solve a Simpler Problem
Geometry Strategy: Chop a Shape Into Simpler Ones
Slightly More Specific Geometry Strategy – Keep An Eye Out For Simpler Shapes, Especially Right Triangles
Area Version #1: If you’re trying to find the area of a complex f... |
# Binary Relation
Let P and Q be two non- empty sets. A binary relation R is defined to be a subset of P x Q from a set P to Q. If (a, b) ∈ R and R ⊆ P x Q then a is related to b by R i.e., aRb. If sets P and Q are equal, then we say R ⊆ P x P is a relation on P e.g.
Example1: If a set has n elements, how many relati... |
## Properties of Mantissa
#### Algebra > Logarithms > properties of Mantissa
10. Properties of the Mantissa:
1. The mantissa is same for the same order of digits in two different numbers, irrespective of where the decimal point is in the two numbers
Consider the two numbers:
log 256 = 2.408 = 2 + 0.408
log 25.6 = 1.4... |
Question Video: Recognising Properties of Circle Construction | Nagwa Question Video: Recognising Properties of Circle Construction | Nagwa
# Question Video: Recognising Properties of Circle Construction Mathematics • Third Year of Preparatory School
## Join Nagwa Classes
Consider the two points π΄ and π΅. What ... |
# Associative Property With Manipulatives
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## Objective
Students will be able to model and prove how the associative property in multiplication works.
#### Big Idea
Children need to understand why the mathematical properties work and how they are applied. In this lesson, we... |
# Texas Go Math Grade 7 Lesson 11.2 Answer Key Comparing Data Displayed in Dot Plots
Refer to our Texas Go Math Grade 7 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 7 Lesson 11.2 Answer Key Comparing Data Displayed in Dot Plots.
## Texas Go Math Gr... |
6.9
## National STEM Learning Centre
Skip to 0 minutes and 7 secondsPAULA KELLY: So now let's have a look at how we calculate a loss as a percentage. So, for example, if I bought a car for 8,000 pounds, some time later, I sell it for 6,200 pounds, I know I've made a loss. But what what is that as a percentage?
Skip ... |
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Alignments to Content Standards: 7.SP.C.8
Suppose each box of a popular brand of cereal contains a pen as a prize. The pens come in four colors, blue, red, green and yellow. Each color of pen is equally likely to appear in any box of cereal. Design and carry out a simulation to help you... |
# Lines and Angles 5.1
Samrules
Published at : 12 Dec 2020
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Full exercise on Lines and Angles, fully solved. This is a video tutorial for 7th class NCERT CBSE students.
RELATED ANGLES
Complementary Angles
When the sum of the measures of two angles is 90°, the angles are called complementary angles.... |
# Proposition 4
In equiangular triangles the sides about the equal angles are proportional where the corresponding sides are opposite the equal angles.
Let ABC and DCE be equiangular triangles having the angle ABC equal to the angle DCE, the angle BAC equal to the angle CDE, and the angle ACB equal to the angle CED.
... |
# 12.4: Curvature and Normal Vectors of a Curve
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand{\kernel}{\mathr... |
# Evaluate $\int\frac{1}{x^{\frac{25}{25} }\cdot x^{\frac{16}{25}}+x^{\frac{9}{25}}}dx$
Evaluate $$\int\frac{1}{x^{\frac{25}{25} }\cdot x^{\frac{16}{25}}+x^{\frac{9}{25}}}dx$$
I start by factoring $$\int\frac{1}{x^{\frac{25}{25} }\cdot x^{\frac{16}{25}}+x^{\frac{9}{25}}}dx=\int\frac{1}{x^{\frac{9}{25}}\left(x^{\frac{... |
# How do you integrate int e^(sqrt(2x)) by parts?
Jan 19, 2017
$\int {e}^{\sqrt{2 x}} \mathrm{dx} = {e}^{\sqrt{2 x}} \left(\sqrt{2 x} - 1\right) + C$
#### Explanation:
$I = \int {e}^{\sqrt{2 x}} \mathrm{dx}$
Let $t = \sqrt{2 x}$. This implies that $\frac{1}{2} {t}^{2} = x$, which we differentiate to show that $\ma... |
Part 4: Division
# 4.1: Dividing integers
Notes
##### Scaffold method
To divide two integers (e.g., A ÷ B), repeatedly subtract product of 10 multiples of the divisor (B) from the dividend (A). The result of the division is called the quotient. For example,
• 1242 ÷ 27 = ?
• 100 x 27 = 2700, which is greater than ... |
Finding Equivalent Fractions
## How to Find Equivalent Fractions
Equivalent fractions have the same value even though they have different numerators and denominators.
These are equivalent fractions:
How can you tell when fractions are equivalent?
When you draw area models, equivalent fractions have exactly the sam... |
# What does place value value mean?
## What does place value value mean?
Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000.
## What is place value short answer?
Place value in Maths describes the position ... |
# Difference between revisions of "2021 AMC 12B Problems/Problem 12"
The following problem is from both the 2021 AMC 10B #19 and 2021 AMC 12B #12, so both problems redirect to this page.
## Problem
Suppose that $S$ is a finite set of positive integers. If the greatest integer in $S$ is removed from $S$, then the ave... |
Precalculus by Richard Wright
Are you not my student and
has this helped you?
This book is available
Jesus replied: “‘Love the Lord your God with all your heart and with all your soul and with all your mind.’ This is the first and greatest commandment. And the second is like it: ‘Love your neighbor as yourself.’” Ma... |
Pythagore
Demonstration of the theorem
Author : Thibaut Bernard Number of visitor
Update: Sunday 30 May 2001.
Alphaquark author's Note :
This page is a translation of Démonstration du théorème de Pythagore with the help of Altavista translation.
I hope this translation is good, but if there are any errors, you can ... |
# What is an Algorithm?
#### In this tutorial, we will learn what algorithms are with the help of examples.
An algorithm is a set of well-defined instructions in sequence to solve a problem.
## Qualities of a good algorithm
1. Input and output should be defined precisely.
2. Each step in the algorithm should be cle... |
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