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# Factors of 509: Prime Factorization, Methods, and Examples
The number 509 is an odd number because it is not divisible by 2 evenly or completely.
If we see its factors it has only two factors which are 1 and 509 which means it is a prime number.
### Factors of 509
Here are the factors of number 509.
Factors of 5... |
# Slope of perpendicular lines
Written by
Malcolm McKinsey
Fact-checked by
Paul Mazzola
## Perpendicular slope
A perpendicular slope is the negative reciprocal of any other slope. In geometry, all lines have slopes. The slope of a line is its angle, or steepness, compared to the x-axis value. Mathematically, slope i... |
## Book: RD Sharma - Mathematics (Volume 1)
### Chapter: 17. Increasing and Decreasing Functions
#### Subject: Maths - Class 12th
##### Q. No. 1 of Exercise 17.2
Listen NCERT Audio Books to boost your productivity and retention power by 2X.
1
##### Find the intervals in which the following functions are increasing... |
### Become an OU student
Succeed with maths: part 1
Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.
# 3 Understanding numbers
As part of learning about maths, you need to understand how numbers work – ... |
# A square water tank has its side equal to 40 m.
Question:
A square water tank has its side equal to 40 m. There are four semi-circular grassy plots all round it. Find the cost of turfing the plot at Rs. 1.25 per square metre (Take π = 3.14).
Solution:
It is given that the side of square $a=40 \mathrm{~m}$ -
Sinc... |
# What Is 20 Percent of 20 + Solution With Free Steps?
20 percent of 20 results in 4. The fraction 20/100 multiplied with 20 generates the solution 4.Â
Numerous real-world situations may benefit from such a computation. Take the case of wanting to purchase your favorite portrait from your favorite shop, but being u... |
Assignment 4 - Centers of a Triangle
Faith Hoyt
In this assignment, we will find all four centers of the triangle and investigate their relationship to each other as well as to the triangle.
First, we need to find each of the centers of the triangle: centroid, orthocenter, circumcenter, and incenter. Let's first fin... |
# Assessment For The California Mathematics Standards Grade 6
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1 Introduction: Summary of Goals GRADE SIX By the end of grade six, students have mastered the four arithmetic operations with whole numbers, positive fractions, positive decimals, and positive and negative in... |
# Massachusetts State Standards for Mathematics: Grade 1
Currently Perma-Bound only has suggested titles for grades K-8 in the Science and Social Studies areas. We are working on expanding this.
MA.2.N. Number Sense and Operations: Students engage in problem solving, communicating, reasoning, connecting, and represen... |
## Teaching through problem-solving: an introduction
In this module we introduce teaching through problem-solving for South African teachers.
We begin our discussion with an activity so that we can build upon your own current experience and understanding.
Activity 1
'Working with fractions is often a challenge for ... |
Equivalent Fractions to print
Name: ______________________________________ Subject: _______________________ Date: _______
Write the missing word
1.- Equivalent Fractions.
Montse has 6/8 of one chocolate and John has 3/4 of another chocolate. They have the same amount of chocolate.
If we multiply the two digits of... |
Name: ___________________Date:___________________
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!
### High School Mathematics7.2 Intersection of Sets
The intersection of sets A and B is the set of elements which are common to A and B. Example: If A = {1, 2, 3, 4} a... |
# How to Calculate 1/1 Plus 21/85
Are you looking to work out and calculate how to add 1/1 plus 21/85? In this really simple guide, we'll teach you exactly what 1/1 + 21/85 is and walk you through the step-by-process of how to add two fractions together.
To start with, the number above the line in a fraction is calle... |
### Theory:
• Integers are the set of positive and negative numbers and zero.
• Integers is nothing but a whole number with negative numbers.
• Usually for better understanding integers are represented in a number line.
• Negative numbers will be on the left side of the number line, and positive numbers will be on the... |
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CBSE
Class 10 Mathematics
Important Questions
Chapter 3
Pair of Linear Equations
1 Marks Questions
1. A pair of linear equation in two variables which has a common point i.e., which has
only one solution is called a
(a)
(b)
(c)
(d) None of these
Ans. (c)
3. The value of ‘k’ for which th... |
# Currently, you have $60 and your sister has$135 You decide to save $5 of your allowance each week, while your sister decides to spend her whole allowance plus$10 each week. How long will it be before you have as much money as your sister?
Nov 10, 2016
It will take 5 weeks for both to have the same amount of savings... |
### Bend
What is the longest stick that can be carried horizontally along a narrow corridor and around a right-angled bend?
### Exponential Trend
Find all the turning points of y=x^{1/x} for x>0 and decide whether each is a maximum or minimum. Give a sketch of the graph.
### Slide
This function involves absolute v... |
# What is the slope intercept form for a line containing the points (10, 15) and (12, 20)?
Mar 24, 2018
$y = \frac{2}{5} \cdot x + 11$
#### Explanation:
Given:
Point 1 : (10,15)
Point 2: (12,20)
The Slope-Intercept form is y = mx + b;
Slope (m) = $\frac{{x}_{2} - {x}_{1}}{{y}_{2} - {y}_{1}}$
m = $\frac{12 - 10}{20... |
# Inverse reciprocal trigonometric function: finding the exact value
### Inverse reciprocal trigonometric function: finding the exact value
#### Lessons
$y = \csc x\;$ [$-\frac{\pi}{2}$, 0) $\cup$ (0, $\frac{\pi}{2}$]
$y = \sec x\;$ [0, $\frac{\pi}{2}$) $\cup$ ($\frac{\pi}{2}, \pi$]
$y = \cot x\;$ (0, $\pi$)
$y =... |
6.4 Graphs of logarithmic functions (Page 8/8)
Page 8 / 8
Verbal
The inverse of every logarithmic function is an exponential function and vice-versa. What does this tell us about the relationship between the coordinates of the points on the graphs of each?
Since the functions are inverses, their graphs are mirror... |
# LU Decomposition for Solving Linear Equations
## Learning objectives
• Describe the factorization $${\bf A} = {\bf LU}$$.
• Compare the cost of LU with other operations such as matrix-matrix multiplication.
• Identify the problems with using LU factorization.
• Implement an LU decomposition algorithm.
• Given an LU... |
# Activities to Teach Students to Multiply Two Binomials
Multiplying two binomials is a fundamental concept in algebra that students need to master in order to progress successfully in their studies. As a teacher, you need to provide your students with effective methods and activities to help them comprehend and apply... |
# Write the equation of the line in slope intercept form
Equation of a straight line can be calculated using various methods such as slope intercept form, point slope form and two point slope form method. One type of linear equation is the point slope form, which gives the slope of a line and the coordinates of a poin... |
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### Course: Algebra (all content)>Unit 10
Lesson 10: Introduction to factorization
# Intro to fac... |
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Notes | EduRev
JEE Main Mock Test Series 2020 & Previous Year Papers
Created by: Learners Habitat
JEE : Notes | EduRev
The document Notes | EduRev is a part of the JEE Course JEE Main Mock Test Series 2020 & Previous Year Papers.
All you need of JEE at this link: JEE
Illustration 1: If cos (a + b) = 4/5, ... |
NCERT Solutions for Class 11 Maths Chapter 16 – Probability Ex 16.2
Question 1:
A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E and F mutually exclusive?
When a die is rolled, the sample space is given by
S = {1, 2, 3, 4, 5, 6}
Accordingly, E = {4} and F = {2, 4, 6... |
## Permutations
The number of ways you can change the order of a set of things is called the number of PERMUTATIONS of that set of things.
For example, how many different ways can you arrange the letters in the word "WHO" Answer: WHO WOH HWO HOW OHW OWH = 6 ways 1 2 3 4 5 6 Each different letter arrangement is called... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
## Factor quadratics with positive coefficients
Estimated10 minsto complete
%
Progress
Progress
Estimated10 minsto complete
%
What if you had a quadratic expression like x2+9x+14\begin{... |
# Exercise 2.3 class 8 solution
### Exercise 2.3 class 8 solution reducing equation to simplest form
Reducing an equation to its simplest form typically involves simplifying or eliminating common factors, combining like terms, and ensuring that the equation is in a clear, concise, and standard form. The exact steps y... |
# Factors of 41 | Division and Prime Factorization | Best Guide
Contents
The factors of 41 are the numbers (including both positive and negative numbers) that get multiplied and produce the number 41.
I’m about to discuss the factors of 41, how to find the prime factors of 41 and how to determine the factors of the ... |
# CLEAR Calculus
## Lab 2: Rates and amounts of chage
In this lab, consider plotting height of water in a bottle vs. the volume of the water in the bottle. That is, height is on the vertical axis (dependent variable) and volume is on the horizontal axis (independent variable)
Lab Preparation:
1. Explain the meaning... |
# How do you integrate x * cos^2 (x)?
Nov 5, 2016
The answer is $= {x}^{2} / 4 + \frac{x \sin 2 x}{4} + \frac{\cos 2 x}{8} + C$
#### Explanation:
First replace ${\cos}^{2} x$ by $\frac{1}{2} \left(1 + \cos 2 x\right)$
As $\cos 2 x = 2 {\cos}^{2} x - 1$
$\therefore \int x {\cos}^{2} x \mathrm{dx} = \frac{1}{2} \int... |
Teacher: Michael
Customers Who Have Viewed This Course: 7003
\$299.00
\$129.00
#### 0 Course Introduction 01:22
This video describes the sections of the course and teaching philosophy
#### 1 Lesson 1: Building Up Proportions 08:19
This is our first lesson from the unit, Proportional Reasoning. Here, we begin with r... |
# ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 2 Whole Numbers Ex 2.2
## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 2 Whole Numbers Ex 2.2
Question 1.
Fill in the blanks to make each of the following a true statement:
(i) 378 + 1024 = 1024 + …….
(ii) 337 + (528 + 1164) = (337 + ……..) + 1164
(iii) (2... |
# Lesson Plan of Addition of Fractions
## Students` Learning Outcomes
• Add two fractions with same denominator.
• Represent addition of fractions through figures.
### Information for Teachers
• Addition of fractions is done differently than the numbers.
• Fractions with same denominators are called like fractions... |
Factors of 32 with Example
Factors of 32 with Example
Introduction To Factors of 32
Factors of 32 are the numbers that can evenly divide 32 without leaving any remainder. In other words, when we divide 32 by its factors, the result is a whole number.
Fill Out the Form for Expert Academic Guidance!
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## How do I teach my child to estimate?
They’re sure to make estimation more meaningful for your students.
1. Teach them the “ish” concept.
2. Estimate a handful of snacks.
3. Introduce estimation jars.
4. Build number sense with estimation activities.
5. Estimate how many it takes to fill a shape.
6. Use building bl... |
## SIMPLIFY RADICAL EXPRESSIONS USING THE DISTRIBUTIVE PROPERTY WORKSHEET
Simplify radical expressions using the distributive property worksheet :
The method of multiplying the radical terms which are added or subtracted inside the bracket by the common radical term or numerical value outside the bracket is know as d... |
# What is 2/3 + 2/3=?
1. ## 1 Finding fractions
For some people, finding fractions is pretty simple, but it can be a challenging job for some individuals. You can find two-thirds of the number by using fractions or decimals. One important thing to keep in mind is that in math, the word "of" means to multiply and that... |
# How do you find the equations for the normal line to x^2+y^2=9 through (0,3)?
Nov 29, 2016
$x = 0$
#### Explanation:
We find the derivative.
$2 x + 2 y \left(\frac{\mathrm{dy}}{\mathrm{dx}}\right) = 0$
$2 y \left(\frac{\mathrm{dy}}{\mathrm{dx}}\right) = - 2 x$
$\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{- 2 x}{2 ... |
# Inflection Points and Concavity
What is the difference between the functions: taking the square of a number or squaring a number. Both of these functions are increasing. But one of them is growing must faster than the other. Comparing the growth of functions is the idea behind concavity and is foundational in comput... |
Question 1: Calculate the mean deviation from the median of the following frequency distribution:
Heights in inches 58 59 60 61 62 63 64 65 66 No of students 15 20 32 35 53 22 20 10 8
We have to calculate mean deviation about median. Hence, first we calculate median.
$\displaystyle \begin{array} {| c| c| c| c | c |... |
# Traipsing Into A Trapezoid
A trapezoid, also known as a trapezium, is a flat closed shape that has four straight sides, with one pair of parallel sides. This shape is often used in geometry and mathematics to teach students about polygons and their properties. In order to understand the trapezoid, it is important to... |
Hello fellow math educators! I’m thrilled to present a comprehensive guide to one of the most fundamental skills our students must master: mental addition. In this blog post, we will delve into mental math strategies for addition, and explore engaging and practical activities to bring this skill to life in your classro... |
# How do you simplify -5q^2w^3(4q+7w)+4qw^2(7q^2w+2q)-3qw(3q^2w^2+9)?
Dec 27, 2017
1) Clear the parentheses by distributing the coefficients.
2) Combine like terms.
$- {q}^{3} {w}^{3} + 8 {q}^{2} {w}^{2} - 35 {q}^{2} {w}^{4} - 27$
#### Explanation:
1) Clear the parentheses by distributing the coefficients
Until yo... |
# 2017 AMC 12B Problems/Problem 22
## Problem
Abby, Bernardo, Carl, and Debra play a game in which each of them starts with four coins. The game consists of four rounds. In each round, four balls are placed in an urn---one green, one red, and two white. The players each draw a ball at random without replacement. Whoe... |
SOLUTION: Two sides of a triangle are 12 cm and 8 cm, respectively. The altitude to the 12 cm side is 4 cm. Find the altitude to the 8 cm side. (A) 3 cm (B) 24 cm (C) 12 cm (D) 6 cm (E
Algebra -> Algebra -> Triangles -> SOLUTION: Two sides of a triangle are 12 cm and 8 cm, respectively. The altitude to the 12 cm sid... |
# How do you introduce an addition?
## How do you introduce an addition?
When we write out equations with addition, we use two symbols: + and =. The plus sign (+) means two things are being added together. This is why we put it between the rabbits—we had 4 rabbits and added 4 more. The other symbol in our equation is... |
# Tricks for learning multiplication tables | Times tables Memorisation techniques
## The secret of understanding times table principles
### Do you want to be a brain boxer in multiplication?
Hey this is the tricks for learning multiplication tables... in order to grab the secret of times tables Memorisation techniq... |
# Coin Sums
## The Problem
How many possible ways can you make change for 2£ given the following English coins: 1p, 2p, 5p, 10p, 20p, 50p, 1£ (100p), 2£ (200p)?
One example output would be: 5 x 1p, 5 x 2p, 1 x 5p, 1 x 10p, 1 x 20p, 1 x 50p, 1 x 1£
## Understanding the Problem
This problem deals with the possible p... |
February 24, 2024
Learn how to find domain and range of functions with this step-by-step guide. Discover the importance of understanding the domain and range, as well as practical applications and common errors to avoid. Includes examples, visuals aids, and interactive learning exercises.
I. Introduction
Domain and r... |
# Leetcode – Number of Steps to Reduce a Number to Zero Solution
When preparing for coding interviews or sharpening your algorithmic problem-solving skills, sometimes the most straightforward problems can offer the most valuable lessons. The “Number of Steps to Reduce a Number to Zero” problem from Leetcode is one suc... |
# Permutations And Combinations: 3 Important Facts To Remember
After discussing the definitions and basic concepts we will enlist all the results and relations of permutation and combination, depending on all those we will get more familiar with the concept of permutation and combination by solving miscellaneous examp... |
# Investigation: Integers everywhere
Lesson
Previously, we looked at how integers can be used to describe events in everyday life. We will now investigate how we can use positive and negative integers to describe everyday events and show our work on number lines.
## Bank on it
There are many technical terms used in... |
Paul's Online Math Notes
[Notes]
Calculus III - Notes
Multiple Integrals Previous Chapter Next Chapter Surface Integrals Fundamental Theorem for Line Integrals Previous Section Next Section Green's Theorem
## Conservative Vector Fields
In the previous section we saw that if we knew that the vector field was conserv... |
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# How to find the equation of a quintic polynomial from its graph
By Murray Bourne, 26 Mar 20... |
# Chapter 3 - Problems - Page 116: 79
The velocity of the truck relative to the car is $63.3~km/h$ at an angle of $39.6^{\circ}$ south of west.
#### Work Step by Step
We can write the car's velocity relative to the road in component from: $v_{cr} = 110~ \hat{j}~km/h$ We can write the truck's velocity relative to the... |
# Solving systems of equations in three variables
When solving systems of equation with three variables we use the elimination method or the substitution method to make a system of two equations in two variables.
Example
Solve the systems of equations (this example is also shown in our video lesson)
$\left\{\begin{... |
# Derivative of cot x with respect to x
## Formula
$\Large \dfrac{d}{dx} \, \cot x = -csc^2 x$
### Proof
$x$ is an angle of a right angle triangle then the cotangent of angle $x$ is written as $\cot x$ trigonometrically. The derivative of $\cot x$ with respect to same angle is written as $\dfrac{d}{dx} \cot x$ in d... |
## Sam and Charley have a rectangular swimming pool that is 8 feet wide and 14 feet long. They are going to build a tile border around the pool
Question
Sam and Charley have a rectangular swimming pool that is 8 feet wide and 14 feet long. They are going to build a tile border around the pool of uniform width. They h... |
# How do you solve 4x^2 = 12x + 40?
Aug 1, 2015
${x}_{1 , 2} = \frac{3 \pm 7}{2}$
#### Explanation:
You could solve this quadratic equation by using the quadratic formula.
For a quadratic equation that has the general form
$\textcolor{b l u e}{a {x}^{2} + b x + c = 0}$
the quadratic formula takes the form
color... |
# Converting between degrees and radians
A radian is a type of unit used for measuring angles. The other unit that you’re probably more familiar with when it comes to measuring angles is degrees. While there’s more than two units that help depict the measure of an angle, radian and degrees are the two that you’ll have... |
## You have just bought a new puppy and want to fence in an area in the backyard for her to roam. You buy 100 linear feet from Home Depot and h
Question
You have just bought a new puppy and want to fence in an area in the backyard for her to roam. You buy 100 linear feet from Home Depot and have decided to make a rec... |
# Number System
Computers understand machine language. Every letter, symbol etc. that we write in the instructions given to computer, it gets converted into machine language. This machine language comprises of numbers. In order to understand the language used by computers and other digital system it is crucial to have... |
# Question #eefeb
Sep 28, 2015
By using trig identities and algebraic manipulation, together with L'Hospitals Rule and other limit laws, we eventually get this limit equal to $\frac{1}{2}$.
#### Explanation:
By a trig identity, $\sin 2 x = 2 \sin x \cos x$
Taking out a common denominator and simplifying algebraica... |
# What are the 4 averages?
## What are the 4 averages?
From this list, three different types of average can be found: mean, median, and mode.
• Mean. Mean. This is the sum (total) of all the numbers, divided by how many numbers there are in the list.
• Median. Median. This is the middle number in the list.
• Mode. M... |
# Step by step solve for x
This Step by step solve for x helps to fast and easily solve any math problems. Our website can solve math problems for you.
## The Best Step by step solve for x
This Step by step solve for x helps to quickly and easily solve any math problems. To solve inequality equations, you need to fi... |
# Repeated Identity: Ratio Strategies
In this article, we will look into the strategies to solve the word problems on repeated identity.
Ratio Strategies
1. Word problems on repeated identity - single item repeat
2. Word problems on repeated identity - paired item repeat
## Word problems on repeated identity - Sing... |
# The New Maths Curriculum Year 3 and 4
## Presentation on theme: "The New Maths Curriculum Year 3 and 4"— Presentation transcript:
The New Maths Curriculum Year 3 and 4
Addition Year 3 Mental calculation Add numbers mentally, including: • a three‐digit number and ones • a three‐digit number and tens • a three digit... |
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# How do you find the second derivative of $\ln \left( {{x^2} + 1} \right)$?
Last updated date: 01st Mar 2024
Total views: 342k
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342k+ views
Hint: In order to determine the second derivative of $\ln \left( {{x^2} + 1} \right)... |
# 15.2. Calculating the Sum of a List of Numbers¶
We will begin our investigation with a simple problem that you already know how to solve without using recursion. Suppose that you want to calculate the sum of a list of numbers such as: $$[1, 3, 5, 7, 9]$$. An iterative function that computes the sum is shown below. T... |
# Basic Fractions (Curious Concepts Precalculus 1.4)
Updated on August 28, 2013
## Self-explain Learning Technique
Self-explain Learning Technique helps people to better comprehend, and remember any thing they want to learn. It my sound strange, but it is many times more effective then re-reading. To use this techni... |
Lesson Explainer: Integration by Substitution: Indefinite Integrals | Nagwa Lesson Explainer: Integration by Substitution: Indefinite Integrals | Nagwa
# Lesson Explainer: Integration by Substitution: Indefinite Integrals Mathematics
In this explainer, we will learn how to use integration by substitution for indefini... |
# Difference of Squares
Lesson Features »
Lesson Priority: VIP Knowledge
Algebra One $\longrightarrow$
Intro to Quadratics $\longrightarrow$
Objectives
• Derive the Difference of Squares factoring form from what we know about FOIL
• Be able to use the factoring method forward and backward
• Utilize the Difference o... |
Paul's Online Math Notes
[Notes]
Calculus III - Notes
Multiple Integrals Previous Chapter Next Chapter Surface Integrals Line Integrals of Vector Fields Previous Section Next Section Conservative Vector Fields
## Fundamental Theorem for Line Integrals
In Calculus I we had the Fundamental Theorem of Calculus that tol... |
# Link Relatives Method, Business Mathematics and Statistics Video Lecture - Business Mathematics and Statistics - B Com
115 videos|142 docs
## FAQs on Link Relatives Method, Business Mathematics and Statistics Video Lecture - Business Mathematics and Statistics - B Com
1. What is the Link Relatives Method in busin... |
Posted on
# Math, the Coronavirus, and the Savior
I’ve written many articles on this blog about how math helps us see the incredible order and design God placed around us. Today’s post, though, focuses on how math also gives us sober reminders that sin has marred God’s perfect world, bringing suffering and death.
Le... |
# 2.1 An isometric drawing of a cube
Page 1 / 1
## [lo 1.3]
1. How many visible (continuous) lines are there in the drawing?
2. How many invisible (broken) lines are in the drawing?
3. How many planes does the figure have?
4. How many planes are visible?
5. How many planes are invisible?
Underline:
1. A cube is m... |
# Understanding Multiplication
Views:
Category: Education
## Presentation Description
Reteaching multiplication with images.
## Presentation Transcript
### Today We Are Learning How To Multiply :
Today We Are Learning How To Multiply
### Understanding Multiplication :
Understanding Multiplication When the same... |
# Perimeter – Definition, Regular & Irregular Shapes
Welcome to the exciting world of perimeter at Brighterly! As a crucial mathematical concept, the perimeter helps us measure the distance around a two-dimensional shape or figure, and it’s the sum of the lengths of all the sides or edges of a polygon. In our everyday... |
# Common Core: 5th Grade Math : Understand Place Value: CCSS.Math.Content.5.NBT.A.1
## Example Questions
### Example Question #1 : Understand Place Value: Ccss.Math.Content.5.Nbt.A.1
300 is how many times greater than 3? Using the same logic, 40 is how many times greater than 4?
300 is 100 times greater than 3, an... |
## Precalculus (6th Edition) Blitzer
The partial fraction is, $\frac{2}{\left( x+1 \right)}+\frac{3x-1}{\left( {{x}^{2}}+2x+2 \right)}$. $\frac{5{{x}^{2}}+6x+3}{\left( x+1 \right)\left( {{x}^{2}}+2x+2 \right)}=\frac{A}{\left( x+1 \right)}+\frac{Bx+C}{\left( {{x}^{2}}+2x+2 \right)}$
Now, take the L.C.M on the right sid... |
# NOTES ON FINITE FIELDS
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1 NOTES ON FINITE FIELDS AARON LANDESMAN CONTENTS 1. Introduction to finite fields 2 2. Definition and constructions of fields The definition of a field Constructing field extensions by adjoining elements 4 3. A quick intro to field theory Maps o... |
# Modern Geometry Homework.
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## Transcription
1 Modern Geometry Homework. 1. Rigid motions of the line. Let R be the real numbers. We define the distance between x, y R by where is the usual absolute value. distance between x and y = x y z = { z, z 0; z, z < 0. Propo... |
Review question
# Given that $y = (x+6)^7(x-9)^8$, can we find $dy/dx$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
Ref: R9795
## Solution
Given that $y = (x+6)^7(x-9)^8$, find $\dfrac{dy}{dx}$ and the values of $x$ for which $\df... |
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How to evaluate
trigonometric function... |
# Two corners of a triangle have angles of (2 pi )/ 3 and ( pi ) / 4 . If one side of the triangle has a length of 4 , what is the longest possible perimeter of the triangle?
Feb 27, 2017
${P}_{\max} = 28.31$ units
#### Explanation:
The problem gives you two out of the three angles in an arbitrary triangle. Sin... |
Chapter 2 Operations and Expressions Homework 2.1 2. Substitute 6 for x in 5 + x : 5 + (6) = 11
b. Substitute 65 for s in s + 5 : 65 + 5 = 70 So, if the speed limit is 65 miles per hour, the person will be driving 70 miles per hour.
4. Substitute 6 for x in x − 4 : ( 6 ) − 4 = 2 6. Substitute 6 for x in x ( 9 ) : ( 6... |
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# TEST: Addition (Give And Take) - 3
## 20 Questions MCQ Test Mathematics (Maths) for Class 3 | TEST: Addition (Give And Take) - 3
Description
This mock test of TEST: Addition (Give And Take) - 3 for Class 3 helps you for every Class 3 entrance exam. This contains 20 Multiple Choice Questions for Class 3 TES... |
Problem of the Week
Problem D and Solution
Problem
Amir is putting beads on a string. He plans on starting with 8 round beads, then 24 square beads, then 48 round beads, and then $$p$$ square beads (where $$p>0$$). At some point after he has put on $$n$$ beads (where $$n>0$$), he realizes that on his string there ar... |
IIM CAT Preparation Tips
IIM CAT Preparation Tips: November 2010
Nov 30, 2010
Mean median - Two more questions
Have given below two more questions on Averages.
1. Consider three classes A, B and C with 20, 30 and 50 students respectively. The averages score in maths of students in class B is 16 more than that of t... |
# What is the factorial of 1 to 10?
## What is the factorial of 1 to 10?
Factorials of Numbers 1 to 10 Table
n Factorial of a Number n! Value
7 7! 5,040
8 8! 40,320
9 9! 362,880
10 10! 3,628,800
## What is a factorial in math?
factorial, in mathematics, the product of all positive integers less than or equal to a ... |
# NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities
### NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Ex 8.1
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Exercise 8.1
Ex 8.1 Class 7 Maths Question 1... |
# What is expanded form in math with exponents?
## What is expanded form in math with exponents?
When you use an exponent to write an expression you are using exponential form. \begin{align*}x^5\end{align*} is exponential form. When you write out the expression using multiplication without an exponent you are using e... |
# Did you solve it? We are (puzzle) family
Alex Bellos
Earlier today I set you the following two puzzles:
1. The two sisters
Twin girls are born in March, they celebrate their birthdays in September, when they grow up they marry each other.
Solution: The girls are from March, Cambridgeshire. They become registrars... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
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# Segments from Secants
## Relationships of products of sections versus sums of sections of secants.
0%
Progr... |
Hello and Welcome!
The SS1 Mathematics 1st Term Lesson Notes is a compilation of notes on the following topics:
Conversion from base ten to other bases
Conversion from other bases to base ten
Conversion of Numbers from one Base to another
Conversion of Decimal Number Base to Base 10
Conversion of fractions to decimal... |
Inverse Functions
Inverse Functions (Definition)
Let f(x) be a 1-1 function then g(x) is an inverse function of f(x) if
f(g(x)) = g(f(x)) = x
Example:
For
f(x) = 2x - 1
f -1(x) = 1/2 x +1/2
Since
f(f -1(x) ) = 2[1/2 x +1/2] - 1 = x
and
f -1(f(x)) = 1/2 [2x - 1] + 1/2 = x
The Horizontal Line Test and Roll's... |
Related Articles
# Playing with Numbers
Numbers are the mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers can be represented by symbols, called nu... |
Home > Pre-algebra > Fractions > Equivalent Fractions
## Equivalent Fractions
#### Introduction
Equivalent fractions are fractions that are equal. In order to determine if one fraction is equal or equivalent to another, both fractions must first be simplified if needed.
#### Terms
- Fractions are used when using n... |
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