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# The Volume of Geometrical Figures
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Last updated date: 15th Jul 2024
Total views: 236.1k
Views today: 5.36k
## What is Volume?
The volume of an object or a closed surface is a mathematical quantity that shows how often three-dimens... |
# 3 DIFFERENTIATION RULES DIFFERENTIATION RULES 3 4 The
• Slides: 57
3 DIFFERENTIATION RULES
DIFFERENTIATION RULES 3. 4 The Chain Rule In this section, we will learn about: Differentiating composite functions using the Chain Rule.
CHAIN RULE Suppose you are asked to differentiate the function § The differentiation ... |
# What Is 8 Thousands Divided By 10?
## How do you divide a number by 10?
Here’s the rule for dividing by 10: move the decimal point one place to the left.
Place value is the value of a digit based on its location in the number.
Beginning with a decimal point and moving left, we have the ones, tens, hundreds, thous... |
# How do you solve x+y=8, y-x=8 by graphing?
May 4, 2018
Answer is #(0,8), intersection of graphs
#### Explanation:
First, we make $y$ the subject of the equation:
$x + y = 8$
$y = - x + 8$-----> by subtracting $x$ both sides
$y - x = 8$
$y = x + 8$----> by adding $x$ both sides
Now we have:
$y = - x + 8$ (red ... |
# How to subtract rational numbers with different denominators ?
In this chapter we will learn to subtract rational numbers with different denominators.
In the end of chapter, we have also solved some problems for better conceptual understanding.
## Subtracting Rational numbers with different denominators
To subtra... |
# How to Calculate the Probability of Combinations
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# What is 42 percent of 88 + Solution with Free Steps
42% of 88 is 36.96, so this equals 36.96. Simply multiply 88 by 0.42 to obtain this result.
In practise, a 42% of 88 estimation can be really useful. Consider purchasing a laptop battery from Amazon as an example. You wish to purchase a laptop battery from Amazon,... |
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# 8.4: Special Right Triangles
Difficulty Level: At Grade Created by: CK-12
## Learning Objectives
• Learn and use the 45-45-90 triangle ratio.
• Learn and use the 30-60-90 triangle ra... |
GSEB Solutions Class 7 Maths Chapter 4 Simple Equations Ex 4.3
Gujarat Board GSEB Textbook Solutions Class 7 Maths Chapter 4 Simple Equations Ex 4.3 Textbook Questions and Answers.
Gujarat Board Textbook Solutions Class 7 Maths Chapter 4 Simple Equations Ex 4.3
Question 1.
Solve the following equations.
(a) 2y + $$\... |
# Solving Quadratic Equations by Factoring06:09 minutes
Video Transcript
## TranscriptSolving Quadratic Equations by Factoring
Every day in San Francisco, on Pier 39, there is a street performer named FOIL. People pass by him, but no one seems to notice the inconspicuous man. FOIL has a secret. At night, he morphs i... |
# LCM HCF Divisibility Questions Trick
LCM HCF Divisibility Questions Trick: Here you can check shortcut trick to solve questions based on LCM & HCF division. In various competitive exams, questions like "find the least number which when devided by x, leaves remainder y". The solution to these problems is quite easy i... |
Reciprocal Relations of Trigonometric Ratios
Reciprocal relations of trigonometric ratios are explained here to represent the relationship between the three pairs of trigonometric ratios as well as their reciprocals.
There are three reciprocal trigonometric functions, making a total of six including cosine, sine, and... |
# A Triangle Problem from Caucasus
### Solution 1
Let $b+c-a=2x,$ $c+a-b=2y$ and $a+b-c=2z.$ The problem constraint is equivalent to
$\displaystyle \frac{yz}{(x+y)(x+z)}\gt 0$ and $\displaystyle \frac{x(x+y+z)}{(x+y)(x+z)}\gt 0.$
We need to prove that
$\displaystyle \frac{zx}{(y+z)(y+x)}\gt 0$ and $\displaystyle \... |
# Multiplication
Four bags with three marbles per bag gives twelve marbles (4 × 3 = 12).
Multiplication can also be thought of as scalin'. Here we see 2 bein' multiplied by 3 usin' scalin', givin' 6 as a holy result.
Animation for the bleedin' multiplication 2 × 3 = 6.
4 × 5 = 20. The large rectangle is made up of 20 ... |
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# What is the maximum number of rectangular blocks measuring 3 inches by 2 inches by 1 inch that can be packed into a cube-shaped box whose interior measures 6inches on an edge?A. 24B. 8C. 30D. 36
Last updated date: 14th Jun 2024
Total views: 411... |
## FANDOM
1,183 Pages
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form a simple ratio, such as 45-45-90. This is called an "angle based" right triangle. A "... |
The trick to solving Cyclic Quadrilateral MCQs Quiz is to understand its properties and then practice applying them to Cyclic Quadrilateral objective questions. Here is a collection of questions for the practice of candidates preparing the Mensuration Topic for competitive exams. Mensuration is a commonly featured Topi... |
# Author Archives: duran216
## SLOPE and Y-INTERCEPT
### PROPORTIONAL KAHOOT:
https://play.kahoot.it/#/k/f5f48c8d-2ea4-451c-ad57-8eb0fa1c2728
### y = mx + b
m = Slope (how steep the line is)
b = the Y Intercept (where the line crosses the Y axis)\
### How do you find “m” and “b“?
• b is easy: just see where the... |
# What is a Rectangular Fraction
Let us know about What is a Rectangular Fraction. The rectangular fraction model is one of the more practical ways of representing fractions. We start with a rectangle that represents the whole sum, and divide it into equal parts . Each part is a unit fraction.
Also, what does the pow... |
## Can probabilities be displayed in a pie graph?
Probability in Pie This means that if we randomly select an observation from the data used to create the pie chart, the probability of it taking on a specific value is exactly equal to the size of that category’s slice in the pie chart.
## What do pie graphs represent... |
# HLT 362V Week 5 Assignment Workbook Exercise 14 and 19, 23 and 24, 29 and 35
## HLT 362V Week 5 Assignment Workbook Exercise 14 and 19, 23 and 24, 29 and 35
### HLT 362V Week 5 Assignment Workbook Exercise 14 and 19, 23 and 24, 29 and 35
Click here to ORDER an A++ paper from our Verified MASTERS and DOCTORATE WRIT... |
# How do you solve (r+13)/12=1?
Jul 23, 2017
$r = - 1$
#### Explanation:
$\text{multiply both sides of the equation by 12 the}$
$\text{denominator of the fraction}$
${\cancel{12}}^{1} \times \frac{r + 13}{\cancel{12}} ^ 1 = 12 \times 1$
$\Rightarrow r + 13 = 12$
$\text{subtract 13 from both sides}$
$r \cancel{+... |
# Selina Solutions Concise Maths Class 10 Chapter 14 Equation of a Line Exercise 14(E)
The last exercise has problems covering all the concepts discussed in this chapter. In order to get a strong overall understanding of this chapter, Selina Solutions for Class 10 Maths is the right tool. Students can use this for any... |
# Lcm Of 12 And 15
The smallest numbers of common multiples for two numbers is called their least common multiple.LCM is almost GCF evaluation but for greatest number here we are finding lowest common multiple. There are two methods for finding LCM which are multiplication method and division method.LCM for given numb... |
# A boat takes 3 hours to travel 30 km down a river, then 5 hours to return. How fast is the river flowing?
• The average time of the trip, which cancels out the current, is 4 hours, so the boat's motor is pushing it at 7.5 km/h. You can figure out the rest.
• Here's what we know:
distance = rate X time. Let s = the... |
Introduction
Calculus is the study of the following concepts.
1. Limits
2. Continuity
3. Derivatives
4. Integrals
If you understand these four core concepts then you understand calculus. The remaining parts of calculus are just theorems and applications of these four concepts. In this article we are going to focus o... |
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TEXT
Arithmetic Sequences and Series
Arithmetic Sequences
An arithmetic sequence is a sequence of numbers in which the difference between the consecutive terms is constant.
Learning Objectives
Calculate the nth term of an arithmetic sequence and describe the properties of arithmetic sequences
K... |
# Fraction calculator
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and num... |
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• This is an assessment test.
• To draw maximum benefit, study the concepts for the topic concerned.
• Kindly take the tests in this series with a pre-defined schedule.
## Geometry and Mensuration: Level 2 Test 7
Congratulations - you have completed Geometry and Mensuration: Level 2 Test 7. You scored %%S... |
# 2.1 Writing Equations.
## Presentation on theme: "2.1 Writing Equations."— Presentation transcript:
2.1 Writing Equations
You evaluated and simplified algebraic expressions.
Translate sentences into equations. Translate equations into sentences. Then/Now
formula Vocabulary
A. Translate this sentence into an equa... |
Line Equation-Slope-Distance-Midpoint-Y intercept Calculator
Enter 2 points below or 1 point and the slope of the line equation and press the appropriate button
Point 1: (x1 = , y1 = ) Slope:
Point 2: (x2 = , y2 = ) b:
Given the two points you entered of (1, 4) and (5, 6), we need to calculate 8 items:
Item 1: Cal... |
# 7.3: Double-Angle, Half-Angle, and Reduction Formulas
$$\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... |
# Velocity and Speed: Tutorials with Examples
Examples with explanations on the concepts of average speed and average velocity of moving object. More problems and their solutions can be found in this website.
The average speed is a scalar quantity (magnitude) that describes the rate of change (with the time) of the d... |
## What do you mean by sets?
A set is a group or collection of objects or numbers, considered as an entity unto itself. Sets are usually symbolized by uppercase, italicized, boldface letters such as A, B, S, or Z. Each object or number in a set is called a member or element of the set.
## What is the meaning of sets ... |
# Zero divided by zero must be equal to zero
What is wrong with the following argument (if you don't involve ring theory)?
Proposition 1: $\frac{0}{0} = 0$
Proof: Suppose that $\frac{0}{0}$ is not equal to $0$
$\frac{0}{0}$ is not equal to $0 \Rightarrow \frac{0}{0} = x$ , some $x$ not equal to $0$ $\Rightarrow$ $2... |
# How do you write 3 tens?
## How do you write 3 tens?
We write numbers using only ten symbols (called Digits)….Example: “35” means 3 Tens and 5 Ones, which is also 3 × 10 + 5 × 1.
Tens Ones
3 5
## What is the standard form of 5 tens 5 tens?
5 tens is equal to 50. So, then what is 50 + 50? Just like 5 dollars + 5 ... |
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# In the given figure on a square handkerchief, nine circular designs each of radius $7cm$ are made. Find the area of the remaining of the handkerchief.
Last updated date: 19th Sep 2024
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470.1k+ vie... |
# SAT / ACT Prep Online Guides and Tips
Trigonometry and radians are new additions to the SAT Math section! Do you love SOHCAHTOA and ${π}$ angle measurements? Do you hate trigonometry and radians and don't know what SOHCAHTOA or ${π}/{2}$ means? No matter how you feel about SAT trigonometry, there is no need to stres... |
0
# What algorithm is used to calculate GCD of two integers?
Updated: 4/28/2022
Wiki User
11y ago
There are two main methods:
1. Choose one of the numbers to be the dividend of a division and the other to be the divisor.
2. Perform the division
3. Ignore the quotient and keep the remainder
4. If the remainder is ... |
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# What is the Prime Factorization Of 46?
• Equcation for number 46 factorization is: 2 * 23
• It is determined that the prime factors of number 46 are: 2, 23
## Is 46 A Prime Number?
• No the number 46 is not a prime number.
• Forty-six is a composite number. Becau... |
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# A bag contains 4 red balls and 4 black balls. Another bag contains 2 red and 6 black. One of the bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.
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• Given $E_1, E_2, E_3.....E_n$ ... |
### 4. Curves and Coordinates
#### a. Coordinate Equations
Equations C-16 and C-17 are general equations for computing coordinates using direction and distance from a known point, Figure C-26.
Equation C-16 Equation C-17
Figure C-26. Coordinate Computation
Direction (Dir) may be either a bearing or azimuth.
Cur... |
# Chi-Square Calculator
You can use this chi-square calculator as part of a statistical analysis test to determine if there is a significant difference between observed and expected frequencies.
To use the calculator, simply input the true and expected values (on separate lines) and click on the "Calculate" button to... |
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# How to establish traversability
Which of these diagrams can be drawn without taking your pencil off the paper and without going over the same line twice?
(Note: This is the famous Konigsberg bridges ... |
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# Sums of Arithmetic Series
## Sum of numbers whose consecutive terms form an arithmetic sequence.
Estimated17 minsto complete
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Progress
Practice Sums of Arithmetic Series
Progress
Est... |
# Chapter 7 - Integration Techniques - 7.2 Integration by Parts - 7.2 Exercises: 19
$= x{\tan ^{ - 1}}x - \frac{1}{2}\ln \,\left( {1 + {x^2}} \right) + C$
#### Work Step by Step
$\begin{gathered} \int_{}^{} {{{\tan }^{ - 1}}xdx} \hfill \\ \hfill \\ set\,\,\,the\,\,substitution \hfill \\ \hfill \\ v = x\,\,\,\,\,\,\,... |
Browse Questions
# Solution of the differential equation $\tan y\sec^2x dx+\tan x\sec^2y dy=0$ is $(A)\;\tan x+\tan y=c \quad (B)\;\tan x-\tan y=c \quad(C)\;\frac{\tan x}{\tan y}=c \quad (D\;\tan x.tan y=c$
Toolbox:
• A linear differential equation of the form $\large\frac{dy}{dx}$$=f(x) can be solved by seperating t... |
# Why Probability? - PowerPoint PPT Presentation
Why Probability?
1 / 16
Why Probability?
## Why Probability?
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript
1. Why Probability? • Probability theory describes the likeli... |
##### Which is greater in each of the following:(i) (ii) (iii) (iv) (v)
In this question we have to compare two given fraction i.e. to find whether the given two fractions are equal or one is greater or less than the other.
Concept: It is easier to compare fractions with like denominators. So, we convert all the frac... |
# Perimeter Lesson
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Category: Education
## Presentation Description
No description available.
## Presentation Transcript
### Perimeter:
Perimeter By Elizabeth Hill Third Grade
### PowerPoint Presentation:
What are we learning? M3M3 Students will understand and measure the perimeter of geometric figures a... |
# Geometric proof – bisector of triangle
Let triangle ABC (denoted △ABC\triangle ABC) be an isosceles triangle in the plane where |AB|=|AC||AB|=|AC|. We try to prove that the perpendicular bisector of the segment BCBC coincides with the bisector of ∠A\angle A (i.e. they are the same line when extend) and that it cuts ... |
# NCERT Solutions for Class 10 Maths Chapter 11- Constructions
NCERT Solutions for Class 10 Maths Chapter 11 Constructions are provided in a detailed manner, where one can find a step-by-step solution to all the questions for fast revisions. Solutions for the 11th chapter of NCERT class 10 maths are prepared by subjec... |
# Hobbit Math: Elementary Problem Solving 5th Grade
[Photo by OliBac. Visit OliBac’s photostream for more.]
The elementary grades 1-4 laid the foundations, the basics of arithmetic: addition, subtraction, multiplication, division, and fractions. In grade 5, students are expected to master most aspects of fraction mat... |
# Manhattan GMAT Challenge Problem of the Week – 2 Nov 2010
by Manhattan Prep, Nov 2, 2010
Here is a new Challenge Problem! If you want to win prizes, try entering our Challenge Problem Showdown. The more people enter our challenge, the better the prizes.
## Question
If the diagonal of rectangle Z is d, and the per... |
Priyanka Madiraju — Published On February 9, 2021
This article was published as a part of the Data Science Blogathon.
## Introduction
In the previous post, we have defined Probability Distributions and briefly discussed different Discrete Probability distributions. In this post, we will continue learning about proba... |
Question Video: Finding the Diagonal of a Square given Its Area | Nagwa Question Video: Finding the Diagonal of a Square given Its Area | Nagwa
# Question Video: Finding the Diagonal of a Square given Its Area Mathematics
The area of the square π΄π΅πΆπ· is 9/2 cmΒ². Find the length of π΅π·.
04:20
### Vi... |
# T4T Is it Odd or Even?
Click to access fully formatted lesson and materials:
Lesson excerpt:
Understand the meaning of odd and even numbers
Theoretical Foundation: As students in second grade begin to look at the properties and attributes of numbers, they begin to have an understanding of odd and even. It is no... |
# Addition of like algebraic terms
A mathematical operation of adding two or more like algebraic terms to obtain sum of them is called the addition of like algebraic terms.
## Introduction
In mathematics, it is essential for every learner to know the mathematical operation of performing summation with two or more li... |
# Varsity Math, Week 52
## ________________
With the new academic year underway, it’s time for the grueling tryouts for this year’s first string on the Varsity Math team. Here’s a sample of what the competitors are up against.
## ________________
### Mean Triangle
You are given a right triangle with the property t... |
# Factors of 40: Prime Factorization, Methods, Tree, and Examples
Factors of 40 are a list of numbers that give a whole number quotient and zero remainders when divided. Or when two numbers are multiplied to produce the number 40, those two numbers will be called the factors of 40.
Figure 1 – All possible Factors of ... |
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# Maths
My Maths
I have set another challenge for you on My Maths! x
Activity 1
Telling the time to the hour.
When we tell the time, there are two hands on the clock - the hour hand, which is short, and the minute hand which is long.
Look at this clock and have a thin... |
# Writing the Equation of Hyperbolas
Remember the two patterns for hyperbolas:
We can write the equation of a hyperbola by following these steps:
1. Identify the center point (h, k)
2. Identify a and c
3. Use the formula c2 = a2 + b2 to find b (or b2)
4. Plug h, k, a, and b into the correct pattern.
5. Simplify
Som... |
# RS Aggarwal Class 8 Maths Chapter 18 Ex 18.3 Solutions 2022 | Download Free PDF
RS Aggarwal Class 8 Maths Chapter 18 Ex 18.3 Solutions: In this exercise, the students will study the problems based on the area of a polygon. Our Mathematics expert tutors have created the problems from the RS Aggarwal textbook to ensur... |
If you share 45 between 5, you will get 9.
# Multiplication and Division 1
This Math quiz is called 'Multiplication and Division 1' and it has been written by teachers to help you if you are studying the subject at elementary school. Playing educational quizzes is an enjoyable way to learn if you are in the 3rd, 4th ... |
# roots of complex polynomial - tricks
What tricks are there for calculating the roots of complex polynomials like
$$p(t) = (t+1)^6 - (t-1)^6$$
$t = 1$ is not a root. Therefore we can divide by $(t-1)^6$. We then get
$$\left( \frac{t+1}{t-1} \right)^6 = 1$$
Let $\omega = \frac{t+1}{t-1}$ then we get $\omega^6=1$ w... |
# Solving Problems By Elimination
Felix may notice that now both equations have a constant of 25, but subtracting one from another is not an efficient way of solving this problem.
Tags: Mcdonalds Case Study On ObesityAqa English Literature A Level CourseworkWritten Compare And Contrast EssaysCritical Self Assessment ... |
Work with numbers 11-19 to gain foundations for place value.
• CCSS.Math.Content.K.NBT.A.1 Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (such as 18 = 10 + 8); understand that th... |
# How many ways can you make 50p?
## How many ways can you make 50p?
> Total 12 different ways.
### How many different ways are there of paying exactly 20p using only 1p and 2p coins?
There are 41 ways to make 20p – too many to write here!
How many ways can you make 10p?
eleven ways
Problem 2. Show that you can m... |
# How to Prove & Derive Trigonometric Identities
Coming up next: Solving Oblique Triangles Using the Law of Cosines
### You're on a roll. Keep up the good work!
Replay
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• 0:01 Trigonometric Identities
• 0:36 The Tangent
• 2:25 The Double-Angle Identities
• 3:55 The Half-Angle ... |
# How do you factor y= 2x^2 - 9x – 18 ?
Dec 30, 2015
$y = \left(2 x + 3\right) \left(x - 6\right)$
#### Explanation:
If the factored quadratic is expressed as $\left(a x + b\right) \left(c x + d\right)$ then the general form of a quadratic is $y = a c {x}^{2} + \left(b c + a d\right) x + b d$
We therefore need to l... |
## Intermediate Algebra (12th Edition)
$\dfrac{2-9\sqrt{2}}{3}$
$\bf{\text{Solution Outline:}}$ To simplify the given expression, $\dfrac{12-9\sqrt{72}}{18} ,$ simplify the radicand that contains a factor that is a perfect power of the index Then, find the $GCF$ of all the terms and express all terms as factors using ... |
How to Find a Vector’s Components - dummies
# How to Find a Vector’s Components
You can convert from the magnitude/angle way of specifying a vector to the coordinate way of expression. Doing so is essential for the kinds of operations you can expect to execute on vectors, such as when adding vectors.
For example, yo... |
Review question
# Can we sketch the graph of $y=x(x+1)(x-2)^4$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
Ref: R8387
## Solution
The curve $C$ has equation $y=x(x+1)(x-2)^4.$ Show that the gradient of $C$ is $(x-2)^3(6x^2+x-2)$ ... |
# AP Calculus AB : Analysis of curves, including the notions of monotonicity and concavity
## Example Questions
### Example Question #1 : Analysis Of Curves, Including The Notions Of Monotonicity And Concavity
Find the coordinates of all local extrema for , and specify whether each is a local maximum or local minimu... |
Bridges in Mathematics Grade 3 Student Book Unit 3 Module 4 Answer Key
The solutions to Bridges in Mathematics Grade 3 Student Book Answer Key Unit 3 Module 4 can help students to clear their doubts quickly.
Bridges in Mathematics Grade 3 Student Book Answer Key Unit 3 Module 4
Bridges in Mathematics Grade 3 Student... |
# How do you find a standard form equation for the line with (5,4) perpendicular to the line 3x+2y=7?
Sep 15, 2017
$2 x - 3 y = - 2$
#### Explanation:
$3 x + 2 y = 7$ has a slope of $- \frac{3}{2} \textcolor{w h i t e}{\text{xxxx}}$ see Note 1
All lines perpendicular to $3 x + 2 y = 7$ have a slope of $\frac{2}{3}... |
# Area and Perimeter Related to Arcs of a Circle
Yes! The pizza in your hand is a perfect example of a circle, didn’t bother to ever notice? Well in this section we shall be using it as our benchmark example to derive some interesting concepts of arcs of a circle. We will see in this section how to calculate area and ... |
NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 – Introduction to Graphs
NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 – Introduction to Graphs, has been designed by the NCERT to test the knowledge of the student on the topic – Some Applications of Introduction to Graphs
NCERT Solutions for Cl... |
# How do you find the acceleration of a block on a pulley?
## How do you find the tension between two blocks on a pulley?
Calculate the tension in the rope using the following equation: T = M x A. Four example, if you are trying to find T in a basic pulley system with an attached mass of 9g accelerating upwards at 2m... |
# lecture 3 Slides.pptx
28. May 2023
1 von 13
### lecture 3 Slides.pptx
• 1. Lecture 3 Topics: Outlier in Box Plot Mean, Median and Spread data SADAF SALEEM Department of Computer Sciences GIFT University, Pakistan Course Title: Probability Theory Course Code: MATH-313 Program: BS MATH Semester: Spring 2023
• 2. Box... |
# 2001 USAMO Problems/Problem 1
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
Each of eight boxes contains six balls. Each ball has been colored with one of $n$ colors, such that no two balls in the same box are the same color, and no two colors occur together in more than one... |
Problem-solving
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Problem Solving Lesson #3 MMW
3. Pro... |
Hong Kong
Stage 2
# Adding and subtracting Fractions
Lesson
Use the interactive below to represent two fractions with different denominators. Try setting one to be $\frac{1}{4}$14 and one to be $\frac{1}{5}$15. How can we add these together?
You might have noticed that adding or subtracting fractions uses our skill... |
# A Module is Irreducible if and only if It is a Cyclic Module With Any Nonzero Element as Generator
## Problem 434
Let $R$ be a ring with $1$.
A nonzero $R$-module $M$ is called irreducible if $0$ and $M$ are the only submodules of $M$.
(It is also called a simple module.)
(a) Prove that a nonzero $R$-module $M$ is... |
## What is the formula for sum of n terms?
An example of AP is natural numbers, where the common difference is 1. Therefore, to find the sum of natural numbers, we need to know the formula to find it.Sum of N Terms of AP And Arithmetic Progression.
Sum of n terms in APn/2[2a + (n – 1)d]
Sum of natural numbersn(n+1)/2... |
# Question 13 & 14 Exercise 4.5
Solutions of Question 13 & 14 of Exercise 4.5 of Unit 04: Sequence and Series. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan.
If $y=\dfrac{x}{3}+\dfrac{x^2}{3^2}+\dfrac{x^3}{3^3}+\ldots$ where... |
# How To Find Slope Intercept Form With 2 Points
## The Definition, Formula, and Problem Example of the Slope-Intercept Form
How To Find Slope Intercept Form With 2 Points – Among the many forms used to depict a linear equation, one that is commonly used is the slope intercept form. You may use the formula for the sl... |
# AP Statistics Curriculum 2007 Distrib Dists
## General Advance-Placement (AP) Statistics Curriculum - Geometric, HyperGeometric, Negative Binomial Random Variables and Experiments
### Geometric
• Definition: The Geometric Distribution is the probability distribution of the number X of Bernoulli trials needed to ge... |
# 2015 AMC 8 Problems/Problem 1
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
Onkon wants to cover his rooms floor with his Favourite red carpet. How many square yards of red carpet are required to cover a rectangular floor that is $12$ feet long and $9$ feet wide? (There are ... |
circles-lesson-6-spheres
Interactive video lesson plan for: Circles Lesson 6 "Spheres"
Activity overview:
Geometry Teachers Never Spend Time Trying to Find Materials for Your Lessons Again!
http://geometrycoach.com/Geometry-Lesson-Plans/?pa=MOOMOOMATH
Note Taking Guide:
http://www.moomoomath.com/High-school-geometr... |
# Scenario: Franca solving a story problem with the students.
## Context – public primary school, national curriculum
The Italian National Curriculum emphasizes the development of students’ number sense through realistic mathematical problems where the estimate of numbers can be performed. The mental calculation has ... |
Home MATHEMATICS TOPIC 3: STATISTICS ~ MATHEMATICS FORM 3
# TOPIC 3: STATISTICS ~ MATHEMATICS FORM 3
2171
18
Mean
Calculating the Mean from a Set of Data, Frequency Distribution Tables and Histogram
Calculate the mean from a set of data, frequency distribution tables and histogram
Measures of central tendency:
After ... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# 7.12: Binomial Theorem and Expansions
Difficulty Level: At Grade Created by: CK-12
Estimated22 minsto complete
%
Progress
Practice Binomial Theorem and Expansions
Progress
Estimated22 ... |
1. ## sovle equation
If is the focal length of a lens and is the distance of an object from the lens and is the distance of the image from the lens then
(a) Solve this equation for the distance of the image in terms of the other two quantities. Simplify your answer and put the denominator of the simplified fraction in... |
# What is Ln in Math | Log vs Ln
We always heard about the logarithms log and ln. So it is important to know about their meaning and differences. Note that log represents the common logarithm and ln represents the natural logarithm. In this post, we will learn about them.
## What is log?
The notation log is referred... |
Note: We know that the equation of the line is $\displaystyle \frac{x}{a} + \frac{y}{b} = 1$ where $\displaystyle a$ is the x-intercept and $\displaystyle b$ is the y-intercept.
Question 1: Find the equation to the straight line:
(i) cutting off intercepts $\displaystyle 3 \text{ and } 2$ from the axes.
(ii) cutting... |
Rational root theorem
(Redirected from Rational root test)
In algebra, the rational root theorem (or rational root test) states a constraint on rational solutions (or roots) of a polynomial equation
$a_nx^n+a_{n-1}x^{n-1}+\cdots+a_0 = 0\,\!$
with integer coefficients.
If a0 and an are nonzero, then each rational s... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
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# Percents as Decimals
## Rewrite percents as decimals.
Estimated3 minsto complete
%
Progress
Practice Percen... |
# GRE Quantitative Comparison Tip #3 – Logic over Algebra
In previous posts (Tip #1 – Dealing with Variables, Tip #2: Striving for Equality), I have discussed two approaches when tackling Quantitative Comparison (QC) questions involving variables. Those approaches are:
1) Apply algebraic techniques
2) Plug in number... |
# Functions in Set Theory
I am a PhD student of mathematics. I have complete MS in math from the University of Pakistan and have been writing online since 2020.
## Functions in Set Theory
Introduction:
The concept of a function is one of the most key ones in mathematics. The word "map," "mapping," "transformation,"... |
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