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# What is the Factorial of 100
Factorial of 100 or any whole number “n” is defined as the product of all the numbers less than or equal to “n” up to 1.
For instance, the factorial of 4 is 24 because 4 factorial = 4 x 3 x 2 x 1. The character “!” is used to symbolize the factorial of a number. Therefore, the value of ... |
# 1985 AJHSME Problems/Problem 17
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
If your average score on your first six mathematics tests was $84$ and your average score on your first seven mathematics tests was $85$, then your score on the seventh test was
$\text{(A)}\ 86 \q... |
# Find the values for A, B, and C so that the system will have the solution (-2,4)?
## Consider the following system of equations: 3x + 4y =10 Ax + By = C How did you arrive at your answer?
Jan 10, 2018
There are infinitely many solutions; one of which is:
$A = 4 , B = - 3 , \mathmr{and} C = - 20$
#### Explanation... |
# 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... |
# R S Aggarwal Solutions for Class 10 Maths Chapter 6 Coordinate Geometry Exercise 6D
R S Aggarwal Solutions for Class 10 Maths Chapter 6 exercise 6d is equipped with all the questions provided in the textbook. Students can download free pdf by clicking on the link given below. This exercise helps students in solving ... |
# Objective - To solve simple, one-step variable equations - PowerPoint PPT Presentation
Objective - To solve simple, one-step variable equations
1 / 18
Objective - To solve simple, one-step variable equations
## Objective - To solve simple, one-step variable equations
- - - - - - - - - - - - - - - - - - - - - - - ... |
# How do you find the slope of the polar curve r=3sec(2theta) at theta=pi/6 ?
Sep 21, 2014
The slope of the curve $r = 3 \sec \left(2 \theta\right)$ at $\theta = \frac{\pi}{6}$ is $\frac{3 \sqrt{3}}{5}$.
Let us look at some details.
We can write
$\left\{\begin{matrix}x = r \cos \theta = 3 \sec \left(2 \theta\right... |
Instasolv
IIT-JEE NEET CBSE NCERT Q&A
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RD Sharma Class 12 Chapter 16 Solutions (Tangents And Normals)
RD Sharma Class 12 Maths Solutions for Chapter 16 Tangents and Normals teaches you about the basic and advanced concepts of Tangents and Normals. Experts have designed these RD Sharma Solutions keeping student... |
# Samacheer Kalvi 7th Maths Solutions Term 3 Chapter 1 Number System Intext Questions
Students can Download Maths Chapter 1 Number System Intext Questions and Answers, Notes Pdf, Samacheer Kalvi 7th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks ... |
# Difference between revisions of "2015 AMC 8 Problems/Problem 7"
Each of two boxes contains three chips numbered $1$, $2$, $3$. A chip is drawn randomly from each box and the numbers on the two chips are multiplied. What is the probability that their product is even?
$\textbf{(A) }\frac{1}{9}\qquad\textbf{(B) }\frac... |
### a = 2 - Mr. Roche`s Wiki
```Algebra
Chapter 1
LCH GH
A Roche
p.3
Simplify (i)
=
=
multiply each part by x
factorise the top
Divide top & bottom by (x-3)
=
p.3
Simplify (ii)
+
+
Multiply second part above and below by -1
So that both denominators are the same
Factorise the top
p.3
Simplify
1.
4x(3x2 + 5x + 6) – 2(1... |
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# Multiply two numbers represented by Linked Lists
Last Updated o... |
Slope-Intercept Form and Point-Slope Form
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1 Slope-Intercept Form and Point-Slope Form In this section we will be discussing Slope-Intercept Form and the Point-Slope Form of a line. We will also discuss how to graph using the Slope-Intercept Form. Slope-intercept form: Wh... |
# A calculus of the absurd
#### 11.4 Integral arithmetic
This technique goes by different names, but integral arithmetic captures the basic idea pretty well; sometimes it is very helpful to treat integrals as algebraic objects in order to find their value.
A very common example of this is where, by integrating $$f(x... |
How do you find the inverse variation of a function?
How do you find the inverse variation of a function?
An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 . Suppose y varies inversely as x ... |
### Lesson 4-7 Triangles and Coordinate Proof
```Lesson 4-7 Triangles and Coordinate
Proof
• Coordinate proof- uses figures in a coordinate
plane and Algebra to prove geometric concepts.
• Placing Figures in the Coordinate Plane
1. Use the origin as the vertex or the center of the
figure
2. Place at least one side of ... |
# Area of a circle how to get the formula
Area of a circle how to get the formula is a mathematical instrument that assists to solve math equations.
Solve Now
x
## Area of a circle
The area of a circle is: π ( Pi) times the Radius squared: A = π r2. or, when you know the Diameter: A = (π /4) × D2. or, when you know... |
# Activities to Teach Students About Fractions of Number Lines: Halves, Fourths, and Eighths
Fractions of number lines are an important mathematical concept for students to understand. Understanding fractions of number lines can help students easily comprehend other mathematical concepts such as decimals, algebraic eq... |
# Question Video: Finding the Measure of an Angle in a Triangle given the Other Two Angles’ Measures Mathematics • 8th Grade
Determine the values of 𝑥 and 𝑦.
02:15
### Video Transcript
Determine the values of 𝑥 and 𝑦.
So in this question, we’ve been given one big triangle that’s been split into two separate ri... |
# Determine the maximum value of $z=3x+4y$ if the feasible region (shaded) for a LPP is shown in fig:
Toolbox:
• Let $R$ be the feasible region for a linear programming problem and let $z=ax+by$ be the objective function.When $z$ has an optimum value (maximum or minimum),where variables $x$ and $y$ are subject to cons... |
# Chapter 4 Determinants
Determinant is a continuation of the previous chapter matrix. Matrix and determinant are the core topics of algebra. These will help us to solve many algebraic linear equations very easily. Matrix and determinants both are interlinked. Topics which are covered in this chapter - determinant of ... |
### Free Educational Resources
+
3 Tutorials that teach Inverse Functions
# Inverse Functions
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Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible f... |
Subtracting Decimals
Subtracting decimals is very similar to subtracting integers (more detailed examples in subtracting whole numbers note) except for only one key difference: you need to line up decimals (write dots one under another) before subtracting.
Example 1. Calculate 5.1-1.5.
Line up decimals and perform s... |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 15 Jul 2018, 20:06
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... |
# Top response to: how do you find the probability distribution of a dice?
To find the probability distribution of a dice, divide the likelihood of each outcome (1, 2, 3, 4, 5, 6) by the total number of possible outcomes (6).
When exploring the probability distribution of a fair six-sided dice, it is essential to con... |
# A toy is in the combined form of a cylinder and a cone having the equal basewhose diameter is 10 cm. The length of the cylin
A toy is in the combined form of a cylinder and a cone having the equal base
whose diameter is 10 cm. The length of the cylindrical part is 14 cm and
height of the cone is 12 cm of that toy. I... |
# Examples Using Mathematical Induction
by Dave
(DAVE)—
In this video, I’m going to work through five examples using mathematical induction. The first two examples involve summations, and the last three examples have an inequality. In each of these examples, I work through specials cases before wiring a proof so that... |
# Solved (Free): The potholes on a major Chicago highway occur at an average rate of 3.4 per mile. Suppose one mile of highway is randomly selected
#### ByDr. Raju Chaudhari
Apr 4, 2021
The potholes on a major Chicago highway occur at an average rate of 3.4 per mile. Suppose one mile of highway is randomly selected.... |
# Solve the rational equation. \frac{7}{x}+x=\frac{88}{x}
Solve the rational equation.
$$\displaystyle{\frac{{{7}}}{{{x}}}}+{x}={\frac{{{88}}}{{{x}}}}$$
• Questions are typically answered in as fast as 30 minutes
### Plainmath recommends
• Get a detailed answer even on the hardest topics.
• Ask an expert for a step... |
# AP 7th Class Maths Notes 6th Lesson Data Handling
Students can go through AP Board 7th Class Maths Notes 6th Lesson Data Handling to understand and remember the concept easily.
## AP Board 7th Class Maths Notes 6th Lesson Data Handling
→ Dr. Caiyampudi Radhakrishna Rao (C.R. Rao) – India:
A wellknown statistician,... |
# How to Solve a Rational Equation
A rational equation is one that contains fractions. Yes, we will be finding a common denominator that has ‘x’s. But no worries! Together we will use a process that will help us solve rational equations every time!
Rational Equations
A rational equation is an equation that contains fr... |
## Polar Coordinates
### Learning Objectives
In this section, you will:
• Plot points using polar coordinates.
• Convert from polar coordinates to rectangular coordinates.
• Convert from rectangular coordinates to polar coordinates.
• Transform equations between polar and rectangular forms.
• Identify and graph pola... |
# Greatest Common Factor and Least Common Multiple
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1 Greatest Common Factor and Least Common Multiple Intro In order to understand the concepts of Greatest Common Factor (GCF) and Least Common Multiple (LCM), we need to define two key terms: Multiple: Multiples of a numb... |
# How do you simplify (7y -x)^2?
##### 3 Answers
Jan 25, 2017
$49 {y}^{2} + {x}^{2} - 14 x y$
#### Explanation:
It is a binomial squared:
${\left(a + b\right)}^{2} = {a}^{2} + {b}^{2} + 2 a b$
Jan 25, 2017
See below.
#### Explanation:
This is a binomial so we can make use of the standard formula
${\left(\text... |
Topic outline
• Highest Common Factor
• Highest Common Factor
The Greatest Common Divisor (GCD) is also known as the Greatest Common Factor (GCF), Highest Common Factor (HCF), Greatest Common Measure (GCM), or Highest Common Divisor.
HCF with Prime Factorization Method
Example: Find the HCF of 15 and 35.
Prime fa... |
Definition: A Binary Quadratic Form is a polynomial of the form $f(x, y) = ax^2 + bxy + cy^2$ where $a, b, c \in \mathbb{Z}$, not all zero.
For example, $f(x, y) = x^2 + y^2$ is a binary quadratic form with $a = 1$, $b = 0$, and $c = 1$. Another example of a binary quadratic form is $g(x, y) = x^2 - 2xy$ where $a = 1$... |
# Algebra/Function Graphing
Algebra
← Functions Function Graphing Systems of Equations →
## Functions have an Independent Variable and a Dependent VariableEdit
When we look at a function such as $f(x) = \frac {1}{2}x,$ we call the variable that we are changing--in this case $x\,$ --the independent variable. We a... |
# 1 to 10 Multiplication Tables for Kids with Fun Tips
Share On
When children want to solve multiplication problems it is important for kids to have a strong base of tables. If they know multiplication tables it will help them to solve math problems quickly. Teaching children calculations are difficult at a young age... |
# 180 Days of Math for First Grade Day 14 Answers Key
By accessing our 180 Days of Math for First Grade Answers Key Day 14 regularly, students can get better problem-solving skills.
## 180 Days of Math for First Grade Answers Key Day 14
Directions Solve each problem.
Question 1.
Write the number before and after 20... |
What’s the path from the bottom node to the top node if the x-coordinate and the y-coordinate of the vertex are both 1? In order to find this answer, we must first verify that the node in question is a point. We will then proceed to find the x-coordinate and the x-value of the point, which will be the y-coordinate of t... |
# The limit of a function
## First example and intuitive definition
• Studying limits means that we investigate the values of $$f(x)$$ as $$x$$ approaches a given number $$a$$
• Let's do this in case $$f(x)=x^2-x+2$$ and $$a=2$$.
• You can see that the closer $$x$$ gets to $$2$$, the closer $$f(x)$$ gets to $$4$$.
• ... |
7.1 Greatest common factor and factor by grouping (Page 2/5)
Page 2 / 5
$\begin{array}{cccc}\hfill 2\left(x+7\right)\hfill & & & \text{factors}\hfill \\ \hfill 2·x+2·7\hfill & & & \\ \hfill 2x+14\hfill & & & \text{product}\hfill \end{array}$
Now we will start with a product, like $2x+14$ , and end with its factors,... |
# What is Binary number system and how to convert it to decimal system?
The counting system that we usually follow is that of decimal system. A decimal system has base 10. The number system that is particularly followed in a computer or digital devices is that of binary system which has base 2 and consists only of two... |
## 6.5 Physical Applications
### Learning Objectives
• Determine the mass of a one-dimensional object from its linear density function.
• Determine the mass of a two-dimensional circular object from its radial density function.
• Calculate the work done by a variable force acting along a line.
• Calculate the work do... |
Use the Nth Term in a Sequence
In this worksheet, students will use the nth term to confirm if a number does or does not appear in a given sequence.
Key stage: KS 4
GCSE Subjects: Maths
GCSE Boards: AQA, Eduqas, Pearson Edexcel, OCR
Curriculum topic: Algebra
Curriculum subtopic: Sequences
Difficulty lev... |
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# Understand Rational Numbers: Concept & Examples
Sep 15, 2022
## Understand Rational Numbers
### What is a Rational Number?
A rational number is a number that is of the form, where p and q are integers and q ≠ 0. Rational numbers are denoted by Q.
How to identify rational nu... |
# Math 20 1 Chapter 1 Sequences and Series
• Slides: 10
Math 20 -1 Chapter 1 Sequences and Series 2. 3 B The Ambiguous Case of the Sine Law The Sine Law State the formula for the Law of Sines. What specific information must be given in a triangle to apply the Law of Sines? Given: AAS or SSA Given: two angles and one ... |
## Tuesday, May 26, 2015
### [OlymPri20150526] The Smallest Angle in a Special Trapezium
Question
Introduction
This looks challenging because we do not seem to be given much information. For example, we do not know the individual angles of the trapezium (American: trapezoid). Does this mean that this puzzle cannot... |
# Advice 1: How to display the percentage
In any sphere of activity, the question may arise, how to get percentage. It's pretty simple arithmetic operation that you want to remember to everyone. There are several variants of the calculation, allowing to master the operation and everyone can, the main thing is to remem... |
#### Transcript File
```Engage NY
Module 1
Lesson 4
Objective: Use exponents to
denote powers of 10 with
application to metric
conversions.
Multiply and Divide Decimals by 10, 100, and 1000
Say the value as a decimal.
Write the number and multiply it by 10.
32.4 x 10 = 324
Now show 32.4 divided by 10.
32.4 ÷... |
Area of Cube and Cuboid
Chapter 11 Class 9 Surface Areas and Volumes
Serial order wise
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
### Transcript
Question 7 Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required.... |
Notes On Surface Area of Solids - CBSE Class 8 Maths
Cube: A cube is a three-dimensional figure, a solid made up of six equal squares called faces. The lateral surface area (LSA) of a cube = 4l2. Total surface area (TSA) = 6l2. Cuboid: A cuboid is a solid made up of six rectangles, called faces. The total area of a cub... |
## What is R in linear equation?
If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The number r is called the constant of the equation ax + by = r.
## What are the 4 steps to solving an equat... |
# Understanding Average: Calculation Steps, Significance, and Examples
Understanding of average in mathematics involves calculating a set of numbers and dividing it by the total number of numbers in the set. This mathematical calculation provides a representative value that can be used to describe the central tendency... |
# Show $\frac{(2n)!}{n!\cdot 2^n}$ is an integer for $n$ greater than or equal to $0$
Show $$\frac{(2n)!}{n!\cdot 2^n}$$ is an integer for $n$ greater than or equal to $0$.
You can see that $n! \cdot 2^n$ is exactly $\prod_{i=1}^n 2i$.
Then any of these (even) number appears in the numerator $(2n)! = \prod_{j=1}^{2n... |
Real and Distinct Roots of The Characteristic Equation
# Real and Distinct Roots of The Characteristic Equation
Recall from the Second Order Homogenous Differential Equations page that if have the second order homogenous linear differential equation $a \frac{d^2}{dt^2} + b \frac{dy}{dt} + c y = 0$ where $a, b, c \in ... |
# CBSE Class 11 Mathematics Linear Inequalities Notes
Download CBSE Class 11 Mathematics Linear Inequalities Notes in PDF format. All Revision notes for Class 11 Mathematics have been designed as per the latest syllabus and updated chapters given in your textbook for Mathematics in Class 11. Our teachers have designed... |
# Simple and Compound interest Aptitude formulas
### Simple and Compound interest formulas, shortcuts, tricks and solved examples:
If P = Principal, A = Amount, R = Rate percent per year, T = T years, S.I = Simple interest, C.I = Compound interest, Then,
1. For Simple interest:
(A). S.I = (P × R × T)/100
(B) A = P ... |
# 1 3/5 as an improper fraction
You are watching：1 3/5 as an improper fractionInaskhow.us
## Is 3/5 is a improper fraction?
3/5 is definitely NOT an improper fraction. The reason is that Improper fractions are those fractions whose numerator is greater than the denominator. So it is a proper fraction because in prop... |
# How to Find the First and Second Derivative
0
82
Signs of the first and second derivative can be found by looking at the graph of a function. If the function is increasing, the first derivative is positive. If the function is decreasing, the second derivative is negative. The first derivative is always positive. It... |
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# Calculate Maximum Information Gain LeetCode Solution
## Problem – Calculate Maximum Information Gain LeetCode Solution
Given a group of values, the entropy of the group is defined as the formula as following:
where `P(x)` is the probability of appearance for the ... |
# Video: Maclaurin and Taylor Series of Common Functions
In this video, we will learn how to find the Taylor/Maclaurin series representation of common functions such as exponential and trigonometric functions and binomial expansion.
16:29
### Video Transcript
In this video, we will learn how to find the Maclaurin s... |
# How do you solve lnx+ln(x+1)=2?
Nov 24, 2015
$x = \frac{- 1 + \sqrt{1 + {e}^{2}}}{2}$
#### Explanation:
Before beginning, note that we do not accept values less than $0$ for the $\ln$ function, and thus as we are beginning with $\ln \left(x\right)$ in the equation, it must be that $x > 0$.
We will use the follow... |
# Go Math Grade 4 Answer Key Homework FL Chapter 13 Algebra: Perimeter and Area Review/Test
Go Math Grade 4 Answer Key Homework FL Chapter 13 Algebra: Perimeter and Area Review/Test support students to improve their subject knowledge on the perimeter and area of the different shapes & gain maths skills. The answers pr... |
# How do you solve 8x + 54= 3x + 24?
May 15, 2018
See a solution process below:
#### Explanation:
First, subtract $\textcolor{red}{54}$ and $\textcolor{b l u e}{3 x}$ from each side of the equation to isolate the $x$ term while keeping the equation balanced:
$8 x - \textcolor{b l u e}{3 x} + 54 - \textcolor{red}{5... |
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Differentiation (Pembezaan) Introduction
# Differentiation (Pembezaan) Introduction
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# Lesson Video: Slopes of Parallel and Perpendicular Lines Mathematics • 11th Grade
In this video, we will learn how to use the concept of slopes to determine whether two lines are parallel or perpendicular and use these geometric relationships to solve problems.
16:36
### Video Transcript
In this video, we will le... |
What 2 square numbers subtract to make 17?
What two square numbers subtract to make 17? In other words, when you subtract one square number from another square number, the answer is 17. What are the two square numbers?
First, note that a square number is what you get when you multiply a number by itself, which means ... |
# Easy Math Integers Worksheet for Class 7 Students
Learning Integers can be fun for your class 7 students with this easy and engaging worksheet! This worksheet covers all the basics of Integers and will help build their mathematical understanding.
Identify Positive and Negative Integers
In this exercise, students wi... |
# Arithmetic or Simple Sequences
It's only fair to share...
An arithmetic sequence is a list of numbers such as 2, 6, 20, 14, 18. To find the next term we add 4 to the last term. Our problem is to find a formula that generates the sequence. For the sequence above, to find the next term we could write
However we don’... |
Geoboards
This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
Polydron
This activity investigates how you might make squares and pentominoes from Polydron.
If you had 36 cubes, what different cuboids could you make?
Cover the Tray
Age 7 to 11Cha... |
# How to find the number of kids who go to a theater when it is given the price of certain tickets?
The problem is as follows:
Vincent goes to the movies with his kids, but when he wants to get tickets of $$\ 3.00$$ each he observes in his pocket that he would lack money for two of their kids. As a result he ends up ... |
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# Quadratic Functions Help (page 3)
based on 4 ratings
By McGraw-Hill Professional
Updated on Oct 4, 2011
#### Practice
For Problems 1-3, sketch the graph and identify the vertex and intercepts.
1. y = −( x − 1) 2 + 4
1. Rewrite in the form f ( x ) = a ( xh ) 2 + k , using compl... |
Aptitude Tests 4 Me
Basic Numeracy/Quantitative Aptitude
Detailed Solution
295. d: The correct answer was 5/6.
Let E be the event "the first die is a 5" and F be the event "the second die is a 2." E and F are independent events. Hence so are the complements of E and F. This means that the probability of the compleme... |
Math 240 Home, Textbook Contents, Online Homework Home
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### Exact Equations
Solve the following initial value problem, \begin{align} \frac{dy}{dx} &= \frac{-5y^2 - 6x + 2y - 2}{10xy - 2x - 56y + 12} \\ y(-3) &= 0 \end{align} This can be written as an exact e... |
[–] 6 points7 points ago
A good way to look at this problem is how many committees are possible that have no women on them at all? Then how does that help us find the number of committees with at least one woman?
[–] 2 points3 points ago
6 women
8 men
[4 people, 1+ women] = [any 4 people] - [4 people, 0 women]
= (6... |
Home » Math Theory » Numbers » Position and Direction
Position and Direction
Introduction
Students compare amounts and objects using everyday language to discuss size, weight, capacity, position, distance, time, and money. They identify, make, and characterize patterns. Students look at commonplace features of shape... |
# Chapter 6: Trigonometry 6.2: Trigonometric Applications - PowerPoint PPT Presentation
Chapter 6: Trigonometry 6.2: Trigonometric Applications
1 / 16
Chapter 6: Trigonometry 6.2: Trigonometric Applications
## Chapter 6: Trigonometry 6.2: Trigonometric Applications
- - - - - - - - - - - - - - - - - - - - - - - - - ... |
Rational Expressions Rational numbers can form expressions when we join rational numbers with various mathematical operators namely addition, subtraction, multiplication and division. Rational Numbers are the numbers which are written in form of p/q, where p and q are integers, and q≠0. In this, p is the numer... |
# Lesson 7Representations of Linear Relationships
Let’s write equations from real situations.
### Learning Targets:
• I can use patterns to write a linear equation to represent a situation.
• I can write an equation for the relationship between the total volume in a graduated cylinder and the number of objects added... |
# 2019 AIME I Problems/Problem 4
## Problem 4
A soccer team has $22$ available players. A fixed set of $11$ players starts the game, while the other $11$ are available as substitutes. During the game, the coach may make as many as $3$ substitutions, where any one of the $11$ players in the game is replaced by one of ... |
How to find Common Factors?
Last Updated : 23 Jun, 2022
The factors that can divide any number one or more than one without leaving any remainder are termed as a common factor. After the factorization, when we compare the factors of two or more we will get that some of the factors are the same or common and those fac... |
# If a sum of money invested at the simple interest becomes 3 times of itself in 6 years, then in how many years it will be 12 times of itself?
1. 20
2. 23
3. 12
4. 22
5. 33
Option 5 : 33
## Detailed Solution
Given:
A sum of money becomes 3 times in 6 years.
Formula used:
S.I = PRT/100
Where S.I = Simple intere... |
### Common Errors in Secondary Mathematics
Common Errors Committed by the Students in Secondary Mathematics Errors that students often make in doing secondary mathematics during their practice and during the examinations and their remedial measures are well explained here stp by step. Some Common Errors in Ma... |
# Solve: If y is proportional to x and x is 4 when y is 22, then what is y when: (g)x =...
## Question:
Solve: If y is proportional to x and x is 4 when y is 22, then what is y when: {eq}(g)x = \frac{1}{w} {/eq}?
y =
## Equations and Proportionality:
Suppose A is in direct proportion of B then we'll write the expr... |
Unit 2: Equations, Inequalities, and Problem Solving Unit Project
Unit 2: Equations, Inequalities, and Problem Solving Unit Project Solve each equation below and justify your steps using a proof table. Show your work. 1. 12x – 4(2x – 10) = 6 – (x + 3) 2. 3(x – 2) + 7 = -4 + 2(x + 1) 3. Why is the same as 4x + 21=18... |
# 1492 The Niña, the Pinta, and the Santa Maria
Contents
### Today’s Puzzle:
I debated with myself about whether or not I should mention the famous poem about 1492 in this post. Then I looked at the puzzle I had already created for today and noticed it would not be too much of a stretch to say the twelve clues look ... |
Ex
# Real Numbers
#### The Fundamental Theorem of Arithmetic to Find H.C.F. and L.C.M.
Example : Find the L.C.M. and H.C.F. of the following pairs of integers by applying the Fundamental theorem of Arithmetic Method (Using the Prime Factorisation Method).
(i) 26 and 91
(ii) 1296 and 2520
(iii) 17 and 25
Solution:... |
# What is proportion?
We explain what proportion is and how children are taught about proportion from Year 4, giving examples of the kinds of problems involving proportion they might be asked to solve.
## What is proportion?
Proportion tells us about a portion or part in relation to a whole.
Children start to learn... |
# What is the area of a hexagon with the side that are 1.8 m long?
May 11, 2018
The area of the hexagon is $8.42$.
#### Explanation:
The way to find the area of a hexagon is to divide it into six triangles, as shown by the diagram below.
Then, all we need to do is solve for the area of one of the triangles and mul... |
# Ken Ward's Mathematics Pages
## Number Theory Divisibility: Tests for Dividing by Numbers Relatively Prime to 10
### Page Contents
The following rules refer only to divisibility by numbers relatively prime to 10. For rules for division by all numbers, (which are sometimes harder), see this page.
### General Rule
... |
Linear and Quadratic Functions Worksheet | Problems & Solutions
# Linear and Quadratic Functions Worksheet
• Page 1
1.
A small stone is projected directly upward from the ground with an initial velocity of 32 ft/s. Write an equation to find the time $t$ for the stone to reach a height of 64 ft.
a. 16$t$2 + 32$t$ +... |
# How to Graph Reflections Across Axes, the Origin, and Line y=x
Coming up next: Solving Rational Equations and Finding the Least Common Denominator
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• 0:06 Reflect on This
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• 1:18 The Rules of ... |
equation of a circle
what is the equation of a circle touching the lines x-3y-11=0 and 3x-y-9=0 and having its center on the line 4x+y-27=0?
To get the equation of the
To get the equation of the circle, minding those conditions, we need to make a figure...
Now we need an acute angle bisector of equations $\color{re... |
# Binomial distribution with two probabilities
Here's the problem I have:
The probability that an apple is red is 80%. The probability that a red apple is rotten is 10%. If 10 apples are picked at random, what are the odds that half are red and rotten?
Approach 1:
The odds of an apple being both red and rotten is 8... |
# Common Core: 3rd Grade Math : Find Area by Partitioning Shapes into Equal Parts: CCSS.Math.Content.3.G.A.2
## Example Questions
← Previous 1
### Example Question #1 : Find Area By Partitioning Shapes Into Equal Parts: Ccss.Math.Content.3.G.A.2
What area of the rectangle is filled in?
Explanation:
Area is the am... |
# Exponential Functions
### Contents
page 1 of 2
Page 1
Page 2
#### Exponential Functions
Exponents can be variables. Variable exponents obey all the properties of exponents listed in Properties of Exponents.
An exponential function is a function that contains a variable exponent. For example, f (x) = 2x and g(x... |
NCERT Solutions Class 9 Maths Chapter 4 Linear Equations In Two Variables – Here are all the NCERT solutions for Class 9 Maths Chapter 4. This solution contains questions, answers, images, explanations of the complete Chapter 4 titled The Fun They Had of Maths taught in class 9. If you are a student of class 9 who is u... |
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# Triangle has sides $5cm,{\text{ }}12cm,$ and $13cm$. Find the length of the perpendicular from the opposite vertex to the side whose length is $13cm$.
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# What are two's complement integers?
Can someone explain in plain English what "two's complement integer" means? I read this:
in Java long is a 64-bit signed two's complement integer
Two's complement is the most commonly used way to represent signed integers in bits. First, consider unsigned numbers in 8 bits. Noti... |
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