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# Place Value
GCSEKS3Level 1-3AQACambridge iGCSEEdexcelEdexcel iGCSEOCRWJEC
## Place Value
Place value is all about the value of each digit within a number. Each digit has a different value determined by its position.
Make sure you are happy with the following topics before continuing.
Level 1-3GCSEKS3AQAEdexcelOC... |
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Direction Test– Directions is a very essential and scoring topic in verbal reasoning. In most Railways and SSC and IBPS Exams, it is one of the easier topics to pass. The Directions are based on the same concept that we utilise in our daily lives. This direction sense test is nothing more than a precise w... |
## MILESTONE 11: Decimal Numbers
The following lessons provide a basic understanding of decimal numbers.
MATH MILESTONE #B6: DECIMAL NUMBERS
A “division” or “ratio” notation is not the only notation possible to express fractions. We may use the place values to the right of ONE to account for fractions. Since the suc... |
Unit Circle
Unit circle is a circle with radius 1 unit. Thus, its name is a unit circle. This simplest circle is the foundation of six functions in trigonometry namely sine, cosine, tangent, cotangent, cosecant and secant.
Unit circle is a circle with unit 1
In analytical geometry, unit circle has an equation of $x... |
# How do I find the major and minor axes of an ellipse?
Mar 7, 2015
Assuming that the axes have not been rotated:
In the standard form equation, look at the numbers in the denominators. They are the squares of half the lengths of the axes of the ellipse parallel to the respective variable.
If the number under the fr... |
Direct and inverse relationship formula 1
What Is the Difference Between a Direct and an Inverse Relationship? | Sciencing
Work more hours, get more pay; in direct proportion. This could be Inversely Proportional: when one value decreases at the same rate that the other increases . Equations with direct and inverse v... |
# Find My Pattern
### Task 10 ... Years 2 - 8
#### Summary
The first thing to realise about this task is that it was invented by a group of Year 4 students - so it is probably sneakier than anything a teacher could come up with! It seems simple enough. We are given:
• The first and last numbers of a sequence.
• The ... |
# Question Video: Finding the Set of Zeros of a Quadratic Function Mathematics
What are the zeros of π(π₯) = (π₯ + π)Β² β π?
02:17
### Video Transcript
What are the zeros of π of π₯ equal to π₯ plus π squared minus π?
First, we copy down our problem. And then in place of π of π₯, w... |
# Teaching 4.NF.B.4 .a.b.c – Understand a Fraction a/b as a Multiple of 1/b – Multiply Fraction by a Whole Number
## Number & Operations – Fractions – 4th Grade
#### Build fractions from unit fractions.
CCSS.Math.Content.4.NF.B.4
Apply and extend previous understandings of multiplication to multiply a fraction by a ... |
## SOLVING QUADRATIC EQUATIONS
Note:
• A quadratic equation is a polynomial equation of degree 2.
• The ''U'' shaped graph of a quadratic is called a parabola.
• A quadratic equation has two solutions. Either two distinct real solutions, one double real solution or two imaginary solutions.
• There are several meth... |
# 1.3 Notes - Transformations of Function Graphs (1)
```1-3 Transformations of Function Graphs
Function graphs can be transformed by translating them left, right, up, and down. They can be stretched or
compressed vertically or horizontally, and they can be reflected across the x-axis or the y-axis. The general
format ... |
# Properties of Division
The properties of division are discussed here:
1. Division by 1 Property:
If we divide a number by 1 the quotient is the number itself.
In other words, when any number is divided by 1, we always get the number itself as the quotient.
When any number is divided by 1, we always
get the numbe... |
# Illustrative Mathematics Unit 6.3, Lesson 7: Equivalent Ratios Have the Same Unit Rates
Learning Targets:
• I can give an example of two equivalent ratios and show that they have the same unit rates.
• I can multiply or divide by the unit rate to calculate missing values in a table of equivalent ratios.
Related Pa... |
How Will Freida Pinto Fare Today? (11/08/2019)
How will Freida Pinto perform on 11/08/2019 and the days ahead? Let’s use astrology to perform a simple analysis. Note this is not scientifically verified – do not take this too seriously. I will first calculate the destiny number for Freida Pinto, and then something simi... |
# Probability
## Data Analysis: Probability
Read the following SAT test question and then select the correct answer.
Always read each question carefully and make a note of the bottom line (what you are trying to find). Assess your options to find the best strategic method and use that method to attack the problem. ... |
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# Evaluation of ${}^{5}{{P}_{4}}$ :(a) 720(b) 120(c) 60(d) 360
Last updated date: 05th Mar 2024
Total views: 341.1k
Views today: 8.41k
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341.1k+ views
Hint: We have to evaluate ${}^{5}{{P}_{4}}$ which is the permutation and of the form ${}... |
## Divisibility By 8
On this page we are going to see divisibility by 8. We are going to see how to check whether the given number is divisible by 8 or not.
All the thousands are divisible by 8. Hence the number is divisible by 8, if the last three digits of a given number is divisible by 8.Then the entire number wil... |
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# NCERT solutions for Class 10 Mathematics Textbook chapter 4 - Quadratic Equations [Latest edition]
Course
Textbook page
## Chapter 4: Quadratic Equations
Ex. 4.1Ex. 4.2Ex. 4.3Ex. 4.4
#### NCERT solutions for Class 10 Mathematics Textbook Chapter 4 Quadratic Equations Exercise 4.1 [Pages 73 - 74]
Ex. 4.1 |... |
# Synthetic division
Synthetic division is a shortcut method of performing polynomial long division.
These notes constitute an overview of the topic.
## Introduction
Synthetic division is commonly used when dividing a polynomial (such as ${\displaystyle x^{3}+8x^{2}-3x+6}$ ) by a binomial (such as ${\displaystyle x... |
Coefficient homework Help at TutorEye
## Coefficient:
A coefficient is an integer multiplied by a single term's variable or the polynomial terms.In an expression, ax2+bx+c,where x is the variable and a and b are the coefficients.
## Coefficient Sample Questions:
Question 1: Choose the numerical coefficient of the ... |
# Matrix Method
If you tried solving any math problem without knowing the exact formula or method, you may get confused. Surely the question that once pops into your mind or might come is if it is fine to quit this question. Some students memorize formulas and rules to complete many math problems, but this does not me... |
Exponential Functions: Review and Additional Properties
EXPONENTIAL FUNCTIONS: REVIEW AND ADDITIONAL PROPERTIES
• PRACTICE (online exercises and printable worksheets)
An exponential function is a function of the form $\,f(x) = b^x\,$ for $\,b > 0\,$ and $\,b\ne 1\,$.
Notice that the variable is in the exponent.
Fo... |
## Put it Together
At the beginning of the module, Joan had applied for a credit card with air miles so she could go on a trip. To earn enough miles for the airfare, Joan has planned to use her air miles card for the following things each month:
• gas = $30 • car insurance =$40
• mobile phone bill = $65 • groceries =... |
# Double 5 and write a number sentence that shows
Working with number sentences in the classroom At any time in Key Stage 1 or 2, teachers may show children a word problem and then ask them to write the number sentence that goes with it, for example: These arrangements all have something in common; they are all in row... |
+0
# graphing question
-1
3
1
+1141
Find all points $(x,y)$ that are $5$ units away from the point $(2,7)$ and that lie on the line $y = 5x - 28.$
Nov 30, 2023
#1
+1642
0
We can use the distance formula to find the distance between two points, and the equation of the line to find the points that lie on the line.
... |
# If $x^my^n=(x+y)^{m+n}$,Prove that $(i)\;\large\frac{dy}{dx}=\frac{y}{x}$
This is the first part of the multi-part question Q80
Toolbox:
• A function $f(x,y)$ of two variables $x$ and $y$,is said to be implicit,which are jumbled in such a way,that it is not possible to write y exclusively as a function of $x$.
• $\... |
# Multiplication
(Redirected from Times)
For other uses, see Multiplication (disambiguation).
"Times" redirects here. For the typeface, see Times (typeface). For the UK newspaper, see The Times. For other uses, see The Times (disambiguation).
Four bags of three marbles gives twelve marbles (4 × 3 = 12).
Multiplication... |
# Exponential Function Product Rule
## A first definition of exponential and logarithmic functions
### Motivation from compound interest
Increase the number of times that the interest is compounded each year ($n$), so as to increase the final amount of money ($A$)
$$A = P \left(1 + \frac{r}{n}\right)^{nt}.$$
$t$ a... |
## How do you explain subtraction to preschoolers?
Understand that subtraction can mean taking away or finding a difference. For example, 13 – 8 can mean, “How many are left when you take 8 away from 13?” Or, 13 – 8 can be interpreted as, “How much more is 13 than 8?” Understand that subtraction is the opposite of add... |
## radius of circumsphere of a regular tetrahedron
Posted: February 15, 2016 in Mathematics
Problem:
Suppose that a regular tetrahedron with edge length of s is inscribed in a sphere, then find the radius of the sphere.
Solution:
To start with, let’s draw a cube with a tetrahedron inside it as shown in the diagra... |
# Find a particular solution of the differential equation $(x+1)\frac{dy}{dx}=2e^{-y} -1$, given that $y = 0$ when $x = 0$.
$\begin{array}{1 1}y=\log\frac{|2x+1|}{|x-1|} \\y=\log\frac{|2x-1|}{|x+1|} \\ y=\log\large\frac{|2x+1|}{|x+1|} \\y=\log\large\frac{|2x-1|}{|x-1|} \end{array}$
Toolbox:
• The linear differential ... |
# Logical Reasoning Capsules - Edwin Jose, CAT DILR 100 Percentiler - Set 7
• DIRECTIONS: Answer the questions on the basis of the information given below.
A class of 1000 students, comprising boys and girls, is divided into three sections, named as A, B and C. The ratio of boys to girls in the class is 9: 11. The fo... |
×
# Maths trick
Recently I discovered this video
In the video the man asks you to think of a three digit number, then through a series of steps, he makes your number into $$1089$$ every single time.
The purpose of this note is to explain how he does it.
First let's list the steps.
1. Think of a three digit number... |
# Writing a number as power of two
Number of powers of two needed to be added to the given powers of two to write the (sum of given powers and added powers of two)number of the form $2^k-1$ where $k$ is any integer.
Okay, let me explain the question.
Suppose you are given: $2^0 , 2^1 , 2^2$
Here sum of the numbers ... |
The Definition of the Absolute Value
The Absolute Value can be defined in many ways, but these are the two most common :
1. As a Piecewise Function
$$|x|= \begin{cases} -x&\text{if } x < 0\\ x&\text{if } x\geq 0 \end{cases}$$
2. As The Principle Square Root of a Square
$$|x| = \sqrt{x^2}$$
In the second definitio... |
Unit 14 Section 2 : Estimation
# Unit 14 Section 2 : Estimation
Estimation is important because it allows you to check that the answers you obtain on a calculator are reasonable. It is easy to make a simple mistake when using a calculator or working out a problem by hand, so an estimation of the expected answer is ... |
# Possible Combinations Calculator
Created by Luis Hoyos
Reviewed by Wojciech Sas, PhD
Last updated: Jun 05, 2024
If you've ever wondered how to calculate combination possibilities, our possible combinations calculator is what you need.
This tool generates the number of all possible combinations, given a total numbe... |
GCSE Maths Probability
Describing Probability
# Describing Probability
Here we will learn about describing probability, including describing probability using words, recognising the likelihood of an event and placing events on a probability scale.
There are also describing probability worksheets based on Edexcel, A... |
# Theoretical Probability Formula
## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.
#### SIGN UP FOR A FREE TRIAL
Probability is the study of the chances of an event occurring or not occurring based on the total number of outcomes possible in a g... |
### Home > INT2 > Chapter 9 > Lesson 9.1.4 > Problem9-48
9-48.
Mr. Singer has a dining table in the shape of a regular hexagon. While he loves this design, he has trouble finding tablecloths to cover it. So he has decided to make his own tablecloth!
In order for his tablecloth to drape over each edge, he will add a ... |
# How to find 5 square root
## What is the square root of 5?
Aviv S.
Mar 14, 2018
The square root of#5#can't be simplified father than it already is, so here is#sqrt5#to ten decimal places:
#sqrt5~~2.2360679775...#
George C.
Mar 14, 2018
#sqrt(5) = 2+1/(4+1/(4+1/(4+1/(4+1/(4+...))))) ~~ 2889/1292 ~~ 2.236068#is... |
# System of Equations Basics
Now that we’ve laid the groundwork for multi-variable equations by looking at linear equations, we’re going to look at systems of equations.
A system of equations is a set or a group of equations where the variables in however many equations you have represent the same quantities in each... |
# Parallel Transfer, Rotation of a Plane, and Similar Triangles
• ### Корзина
Пусто
The contents of this webpage:
• – the lesson "Parallel transfer" is presented in the example of solving problems 145 - 148;
• – in the worksheets under numbers 149 - 154 of this workbook for mathematics, the rotation of the plane ar... |
Trigonometric Functions of Sum & Difference of Two Angles
# Trigonometric Functions of Sum & Difference of Two Angles Video Lecture | Mathematics (Maths) for JEE Main & Advanced
## Mathematics (Maths) for JEE Main & Advanced
209 videos|443 docs|143 tests
## FAQs on Trigonometric Functions of Sum & Difference of Two... |
# Algebra (Test 5)
## Problem Solving And Reasoning : Mathematics Or Quantitative Aptitude
| Home | | Problem Solving And Reasoning | | Mathematics Or Quantitative Aptitude | | Algebra |
Algebra
| Algebra |
Q.1
If then
A. p=q=r
B. p+q+r=0
C. p+r=q
D. p=q+r
Explaination / Solution:
Workspace
Report
Q.2
If x = 11 th... |
# The perimeter of a garden is 250 meters. the length is 5 meters more than 3 times the width, find the dimensions of the garden?
Aug 6, 2015
Width: 30 m
Length: 95 m
#### Explanation:
First, start by writing the formula for the perimeter of a rectangle
$P = 2 \cdot \left(L + w\right)$, where
$L$ - the length of ... |
# Section 4.7. More on Area
Save this PDF as:
Size: px
Start display at page:
## Transcription
1 Difference Equations to Differential Equations Section 4.7 More on Area In Section 4. we motivated the definition of the definite integral with the idea of finding the area of a region in the plane. However, to solve th... |
# Cos Square Theta Formula
View Notes
## Cos Square Theta
The relationship between the base angle and the sides of a triangle is expressed as trigonometric functions. It is also known as the angle of the functions. Sine, cosine, tangent, co-tangent, cos, and cosec are the basic trigonometric functions. We have vario... |
It"s really common when learning around fractions to desire to know how transform a mixed fraction like 6 1/4 right into a decimal. In this step-by-step guide, we"ll display you exactly how to revolve any portion into a decimal yes, really easily. Let"s take a look!
Before we get started in the fraction to decimal con... |
# Difference between revisions of "2012 AMC 10A Problems/Problem 17"
## Problem
Let $a$ and $b$ be relatively prime integers with $a>b>0$ and $\frac{a^3-b^3}{(a-b)^3}$ = $\frac{73}{3}$. What is $a-b$?
$\textbf{(A)}\ 1\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 3\qquad\textbf{(D)}\ 4\qquad\textbf{(E)}\ 5$
## Solution 1... |
Math Focus 9
Student Centre • Surf for More Math • Try It Out • Web Quests
# Burning Calories
## INTRODUCTION
The number of calories burned during an activity depends on several factors such as the activity, the mass of the person, and the effort used for the activity.
As a personal trainer at a fitness centre, yo... |
# Highest Common Factor
Created by: Team Maths - Examples.com, Last Updated: June 19, 2024
## Highest Common Factor
The world of mathematics with our in-depth guide on the Highest Common Factor (HCF). This fundamental concept, essential for both basic arithmetic and advanced algebra, paves the way for simplifying fr... |
## Tuesday, January 28, 2014
### Four positive numbers
Let $a_1,a_2,a_3,a_4$ be four positive numbers and let: $$S_1 = a_1 + a_2 + a_3 + a_4$$ $$S_2 = \sum_{i \neq j} a_ia_j$$ $$S_3 = a_1a_2a_3 + a_1a_2a_4 + a_1a_3a_4 + a_2a_3a_4$$ $$S_4 = a_1a_2a_3a_4$$ Given that $$| \frac{S_1-S_3}{1-S_2+S_4} | < 1$$ show that ther... |
Math Train
# Number Friends
In this lesson, children will learn to count and recognize the number of objects in a set, match numbers to quantities and practice simple addition
30-45 min.
EYFS
## Connect
• Gather the children around the train set and show them two train cars with different quantities of bricks load... |
This presentation is the property of its rightful owner.
1 / 7
# Find the HCF and LCM PowerPoint PPT Presentation
Find the HCF and LCM. When finding the HCF and LCM of relatively low/easy numbers we can use the methods that we are used to such as find the HCF and LCM of 12 and 18 HCF 12 18 1 x 121 x 18 2 x 62 x 9 3 x... |
# A simple, fun, and engaging game to improve kids’ math skills
Today, let me introduce you a simple, fun, and engaging game that can improve your kids’ math stills, and I call this game “24”. Don’t get confused with the famous TV show “24” and it has nothing to do with it.
Here is how to play the game “24”:
1. Rand... |
Selina Solutions Concise Maths Class 10 Chapter 10 Arithmetic Progression Exercise 10(E)
Exercise 10(E) contains word problems based on real-time situations. Students willing to have a good grip over solving problems of A.P can utilise the Selina Solutions for Class 10 Maths. All the solutions are developed by experts... |
PercentageCalculator .pro Discount Percentage Fraction to % Decimal to %
# How much is 4 percent of three over ten
What is % of
### Percentage Calculator 2
is what percent of ?
is % of what?
### Solution for 'What is 4% of three over ten?'
In all the following examples consider that:
• The percentage figure is ... |
# Change to Scientific Notation
Scientific Notation is a handy and shorter method of writing numbers that are very big or very small.
Page Content
Basic Example
A simple example of how to convert or change to scientific notation is four thousand.
4000
4000 is 4 × 1000,
and
4 × 1000 can be written as 4 ×... |
$\require{cancel}\newcommand\degree[0]{^{\circ}} \newcommand\Ccancel[2][black]{\renewcommand\CancelColor{\color{#1}}\cancel{#2}} \newcommand{\alert}[1]{\boldsymbol{\color{magenta}{#1}}} \newcommand{\blert}[1]{\boldsymbol{\color{blue}{#1}}} \newcommand{\bluetext}[1]{\color{blue}{#1}} \delimitershortfall-1sp \newcommand\... |
# Estimating Quotients
8 teachers like this lesson
Print Lesson
## Objective
SWBAT use compatible numbers and rounding to estimate quotients.
#### Big Idea
You can substitute numbers that can help make estimating division problems easier.
## Opener
5 minutes
In today's lesson, the students learn to use compatib... |
Identify the Correct Number Operation
In this worksheet, students will learn about addition, multiplication, division and subtraction facts and use these facts to work out a missing number.
This content is premium and exclusive to EdPlace subscribers.
Key stage: KS 2
Curriculum topic: Verbal Reasoning
Curriculu... |
# Another version of the primality test using a theorem of Lucas
In the previous post, we prove a theorem that is attributed to Lucas and give examples on how to use it to prove primality. The task of using this theorem to prove primality is essentially the task of finding a primitive root. So this primality test coul... |
GeoGebra Classroom
# Section 10.5 Activities
## Part A: Construct an Isosceles Triangle
Use the compass tool to help you draw an isosceles triangle. Without measuring any side lengths, explain why your triangle must be isosceles. How does the compass tool work? Click on the Compass tool button. The first two clicks ... |
Find the Side Length of A Right Triangle
# Find the Side Length of A Right Triangle
Sohcahtoa and the Pythagorean Theorem
There are many ways to find the side length of a right triangle. We are going to focus on two specific cases.
Case I
When we know two sides of the right triangle, in which case, we will use t... |
## Trigonometry
Subject: Optional Mathematics
### Lesson Info
• Notes 6
• Videos 19
• Exercises 66
• Practice Test 82
• Skill Level Medium
#### Measurement of Angle
The following three systems are commonly used in the measurement of angles: a) Sexagesimal system (degree system): This system is also called British ... |
## The fastest action by step overview for calculating what is 50 percent the 450
We already have our an initial value 50 and also the second value 450. Let"s i think the unknown value is Y i m sorry answer we will find out.
You are watching: What percent of 450 is 50?
As we have actually all the required values us ... |
# 10 Simple but Useful Math Hacks for Everyday Use
Looking for some handy math hacks? Then you've come to the right place. Math isn't everyone's forte but it doesn't need to be over complicated. The following math hacks will dig you out of math hell if you've misplaced your calculator. Here we go...
[Image Source: Pi... |
# Four sides of trapezoid
In the trapezoid ABCD is |AB| = 73.6 mm; |BC| = 57 mm; |CD| = 60 mm; |AD| = 58.6 mm. Calculate the size of its interior angles.
Correct result:
A = 76.5803 °
B = 90 °
C = 90 °
D = 103.4197 °
#### Solution:
$C=180-B=180-90=9{0}^{\circ }$
Try calculation via our triangle calculator.
W... |
# Class 12 Maths Chapter 9 NCERT Solutions Differential Equations
In this page we have NCERT Solutions for Class 12 Maths Chapter 9: Differential Equations for EXERCISE 9.2 . Hope you like them and do not forget to like , social share and comment at the end of the page.
In each of the Exercises 1 to 10 verify that the... |
# [Solved] What is the Derivative of e^1/x?
The derivative of e1/x is $-\frac{1}{x^2} e^{1/x}$. So if y=e1/x, then dy/dx = -1/x2 e1/x. In this post, we will learn how to differentiate e to the power 1/x.
## Derivative of e1/x
Question: What is the derivative of e raised to 1/x?
Answer: The derivative of e raised to... |
tan θ = tan ∝
How to find the general solution of an equation of the form tan θ = tan ∝?
Prove that the general solution of tan θ = tan ∝ is given by θ = nπ +∝, n ∈ Z.
Solution:
We have,
tan θ = tan ∝
⇒ sin θ/cos θ - sin ∝/cos ∝ = 0
⇒ (sin θ cos ∝ - cos θ sin ∝)/cos θ cos ∝ = 0
⇒ sin (θ - ∝)/cos θ cos ∝ = 0
⇒ ... |
# Multiples of 13
Most people are afraid of the number 13 because it means bad luck, especially on
Friday the 13th. The fear of people in this number can be traced back to religious
believes – particularly Christianity.
This can actually be seen in the illustration of the “Last Supper” during Jesus’ last meal with hi... |
# How do you differentiate g(x) =sin(3x) (2x+1)^(5/2) using the product rule?
Jan 19, 2018
$g ' \left(x\right) = 5 \sin \left(3 x\right) {\left(2 x + 1\right)}^{\frac{3}{2}} + 3 \cos \left(3 x\right) {\left(2 x + 1\right)}^{\frac{5}{2}}$
#### Explanation:
$\text{given "g(x)=f(x)h(x)" then }$
$g ' \left(x\right) = ... |
# 2.1.4 Magnification & Resolution
### Magnification Formula
• Magnification is how many times bigger the image of a specimen observed is in comparison to the actual (real-life) size of the specimen
• The magnification (M) of an object can be calculated if both the size of the image (I), and the actual size of the sp... |
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# Review: Long Division of Whole Numbers - PowerPoint PPT Presentation
Review: Long Division of Whole Numbers. Example: 522 12 Write the quotient as a mixed number. Divide: how many times does 12 go into 52 without going over?. Divide: how many times does 12 go into 52 without going over?. Divide: how many ti... |
# How do you solve 4(x-1)^2-3=25?
Aug 27, 2017
$x = 1 \pm \sqrt{7}$
#### Explanation:
$\text{isolate "(x-1)^2" on the left side}$
$\text{add 3 to both sides}$
$4 {\left(x - 1\right)}^{2} \cancel{- 3} \cancel{+ 3} = 25 + 3$
$\Rightarrow 4 {\left(x - 1\right)}^{2} = 28$
$\text{divide both sides by 4}$
$\frac{\ca... |
# How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for 2x^3 + 3x^2 - 12x?
Dec 5, 2016
$f \left(x\right)$ is increasing in the interval $\left(- \infty , - 2\right)$, reaches a maximum for $x = - 2$ then decreases in the interval $\left(- 2 , 1\r... |
Question 68fe6
Jul 4, 2016
$\text{0.092 g}$
Explanation:
The problem wants you to use the number of moles, $n$, present in a sample of a given compound and the molar mass, $M$, of said compound to determine the mass of the sample, $m$.
The idea here is that a compound's molar mass can be used as a conversion facto... |
Sections:
Gaussian Elimination
About:
Additional Resources:
In this section, we will learn how to use Gaussian Elimination to solve a system of linear equations in two variables. We will only look at systems with two equations and with two variables (x and y). Up to this point, we have only covered three methods to ... |
# Algebra – Working With Exponents
Hi. This page will be about exponent laws and algebra. This guide is more suited for a high school audience and can be used as a refresher for pre-calculus and calculus students.
What Is An Exponent?
Suppose I want to multiply the number 2 by itself 4 times. I can write this as . I... |
# Square and Cube Numbers
Square and cube numbers are important concepts in mathematics that are used in various fields such as geometry, physics, and computer science. Understanding these numbers is crucial for solving mathematical problems and for practical applications in real life.
Square numbers are numbers that... |
LESSON PROBLEM: Area: If you have to find the area of a region, which is not a regular shape, how would you calculate it?
STUDY GUIDE
Rice farmers need to know the area of each of their paddy fields. They use measurement skills and geometry to help them. Let's define the concept of area. Area measures the surface, or... |
## Moment of inertia equation
3 Problems and solutions about Moment of inertia equation
1. A solid cylinder has a radius of 8 cm and a mass of 2 kg. Meanwhile, a solid ball has a radius of 5 cm and a mass of 4 kg. If the two objects rotate with an axis through their center, determine the ratio of the moment of inerti... |
## What is the area under a sin curve?
Answer: The area bounded by the curve y = sin(x) and the x-axis between x = 0 and x = π/2 is 1. c) Set the limits of integration as: Lower Limit = – π/2 and Upper Limit = π/2. Answer: The area bounded by the curve y = sin(x) and the x-axis between x = – π/2 and x = π/2 is 0.
How... |
# CAT Questions | CAT Algebra Questions: Linear Equations
## Importance of Linear Equations in Management Entrance Exams
Questions based on Linear equations are an important component of the CAT (2-4 questions) and XAT (2-3 questions) and IIFT (2-3 questions) exam. For cracking CAT and other management exams Linear e... |
# 8th Class Mathematics Squares and Square Roots Square Root Methods
## Square Root Methods
Category : 8th Class
### Square Root Methods
We know that addition is inverse of subtraction, multiplication is inverse of division, and similarly square root is the inverse of square of a number. There are different methods... |
# Calculating the Yield of a Zero Coupon Bond
In this article, we're going to talk about how to calculate the yield of maturity on a zero-coupon bond. So the yield of maturity is the rate of return that you would get if you purchased a bond at its current price and then held the bond to maturity.
### Example of Zero ... |
## 2210.32 – Fractional Inequality
If $x$ is a number such that $\frac{1}{x}<2$ and $\frac{1}{x}>-3$, then which of the following is true?
a. $-\frac{1}{3} < x < \frac{1}{2}$,
b. $-\frac{1}{2} < x < 3$,
c. $x > \frac{1}{2},$
d. $x > \frac{1}{2}$ or $-\frac{1}{3} < x<0$,
e. $x > \frac{1}{2}$ or $x < -\frac{1}{3}.$... |
# 1989 AHSME Problems/Problem 8
## Problem
For how many integers $n$ between 1 and 100 does $x^2+x-n$ factor into the product of two linear factors with integer coefficients?
$\mathrm{(A) \ 0 } \qquad \mathrm{(B) \ 1 } \qquad \mathrm{(C) \ 2 } \qquad \mathrm{(D) \ 9 } \qquad \mathrm{(E) \ 10 }$
## Solution 1
For $... |
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# If the positive square root of x is between 3 and 11, then what is the inequality that represents all possible values of x?(a) 3 < x < 11(b) 9 < x < 11(c) 9 < x < 121(d) x < 3 or x < 11(e) x < 9 or x < 121
Last updated date: 13th Jun 2024
Total... |
# Vector Projection
## Key Questions
• A vector is specified by its components along the coordinate axes in a particular coordinate system.
A vector projection of a vector A along some direction is the component of the vector along that direction.
If A makes an angle $\theta$ with the direction in which we are to fin... |
# Normal Distribution
I created a PowerPoint on the normal distribution to teach some of the concepts covered in this unit.
## There are three different MEASURES of CENTRAL TENDENCY (check out this link) (Ways to be average)
• Mean=arithmetic average of a set of scores
(add all of the scores and divide by the number... |
In mathematics, a combination is a selection of items from a collection, such that (unlike permutations) the order of selection does not matter. For example, given three fruits, say an apple, an orange, and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an... |
# ORDERING POSITIVE AND NEGATIVE INTEGERS
## About "Ordering positive and negative integers"
Ordering positive and negative integers :
We use number line to order positive and negative integers.
That is, to order the positive and negative integers, we have to locate them on the number line and mark them. Then, writ... |
# Natural Logarithmic Function
## The Power of the Natural Logarithmic Function: How to Solve Equations and Understand Its Impact
If you've ever wondered about the return on your investment, knowing the natural logarithmic function can be essential. Let's dive into the curious relationship between the natural logarit... |
# Equivalent Fractions Worksheet
• Section 1 of the equivalent fractions & ordering fractions worksheet contains 36 skills based equivalent fractions & ordering fractions questions, in 3 groups to support differentiation
• Section 2 contains 4 applied equivalent fractions & ordering fractions questions with a mix of w... |
Lesson Objectives
• Demonstrate an understanding of the whole numbers
• Learn about a new set of numbers known as the integers
• Learn how to create a number line for the integers
• Learn the difference between a positive number, negative number, and zero
• Learn how to find the additive inverse or opposite of a number... |
Lesson Worksheet: Converting and Comparing Time Mathematics • 5th Grade
In this worksheet, we will practice how to convert, compare, and order time units, such as years, months, weeks, days, hours, minutes, and seconds.
Q1:
Fill in the missing number: There are days in 28 weeks.
Q2:
How many seconds is 27 minutes?... |
# How to Solve Proportions to Adjust a Recipe
## Practical Applications of Proportion Problems
A proportion is a set of 2 fractions that equal each other. This article focuses on how to solve proportions.
## Real World Uses of Proportions
• Modifying a budget for a restaurant chain that is expanding from 3 location... |
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