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# Distance Formula and the Pythagorean Theorem
## Determine distance between ordered pairs
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# Illustrative Mathematics Grade 6, Unit 8, Lesson 16: Box Plots
Learning Targets:
• I can use the five-number summary to draw a box plot.
• I know what information a box plot shows and how it is constructed.
Related Pages
Illustrative Math
#### Lesson 16: Box Plots
Let’s explore how box plots can help us summariz... |
Graph of Cubic Functions/Cubic Equations for zeros and roots (16,0,16)
Let us consider the cubic function f(x) = (x- 16)(x- 0)(x- 16) = x3 -32x2 + 256x . We will inspect the graph, the zeroes, the turning and inflection points in the cubic curve curve y = f(x). Cubic Polynomials and Equations A cubic polynomial is a... |
# Prove that the function f(x)=tanh^-1(x) is an odd function ?
## prove that the function f(x)=tanh^-1(x) is an odd function
Apr 19, 2018
The argument below can be adapted to prove that the inverse of any odd invertible function is odd.
#### Explanation:
The function $\tanh \left(x\right) \equiv \frac{{e}^{x} - {e... |
# Solving Multi-Step Equations: Beginner Algebra Lesson Plan For Ninth Grade Math
Prior Knowledge
Before this lesson your students should have previously learned how to write equations. This involves:
(a) translating
sentences into equations,
(b) translating equations into sentences,
(c) solving one-step equation... |
# Factors of 1425
Factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, and 1425
#### How to find factors of a number
1. Find factors of 1425 using Division Method 2. Find factors of 1425 using Prime Factorization 3. Find factors of 1425 in Pairs 4. How can factors be defined? 5. Frequently asked... |
# Discovering Volume: A Hands-On Activity for Engaging Math Students
Teaching volume is an essential part of any math curriculum, but it’s often a challenging concept for students to grasp. Traditional methods may involve rote memorization and abstract formulas, which don’t resonate with all learners. By adding a hand... |
Miscellaneous
Chapter 4 Class 11 Complex Numbers
Serial order wise
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
### Transcript
Misc 5 (Method 1) If z1 = 2 β i, z2 = 1 + i, find |(π§_1 + π§_2 + 1)/(π§_1 β π§_2 + 1)| We have to find |(π§_1 + π§_2 + 1)/(π§_1 β π§_2 ... |
# Math Snap
## تفاضل وتكامل (2) نظري If $f(x)=f^{\prime}(x)+3, f(0)=1$ and $f(1)=4$, then $\int_{0}^{1} e^{x} f(x) d x=$ Select one: a. Naliee of them b. $\frac{7 e-4}{2}$ $\frac{e-1}{2}$ $\frac{2 e-1}{2}$ $\frac{e+1}{2}$
#### STEP 1
Assumptions 1. The function $f(x)$ satisfies the differential equation $f(x) = f'(x... |
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You are reading an older version of this FlexBook® textbook: CK-12 Geometry Concepts Go to the latest version.
5.6: Comparing Angles and Sides in Triangles
Difficulty Level: At Grade Cre... |
Fibonacci division
And now we demonstrate the procedure of the Fibonacci division. But we begin since the division procedure used by Egyptians. Let's suppose we need to divide the number of 481 by the number of 13. The division is performed in the following way. At the first stage the table consisting of three columns... |
Tangent Circles
by Molly McKee
Given two circles, we would like to find a third circle which is always tangent to both original circles.
Begin with two circles. In this case circle B is contained within the circle A, but they can be positioned however you wish.
Construct the diameter of one of the circles; in this ca... |
# A Comprehensive Guide to Converting Between Hexadecimal and Decimal
Published:
Converting between hexadecimal and decimal can be a daunting task, but it is an essential skill for anyone working with computers or programming. In this guide, we will cover everything you need to know to convert between these two numbe... |
## Monday, May 09, 2005
### Fundamental Theorem of Arithmetic
Before, we can provide this theorem, we will need an initial theorem on division and one lemma which will we borrow from Euclid.
Theorem 1: Division Algorithm for Integers
This theorem shows that given any two integers, there exist a unique divisor and a... |
# Point A is at (4 ,2 ) and point B is at (3 ,1 ). Point A is rotated pi/2 clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?
Sep 27, 2016
A(2 ,-4), change ≈ 3.685
#### Explanation:
Before rotating point A, let's calculate the distan... |
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# My Three Digits
Pro Problems > Math > Number and Quantity > Number Theory > Digits
## My Three Digits
I'm thinking of a three-digit number. The sum of my number's first and last digits is a perfect square. The sum of my number's first and second digits is also a perfect square. If my third ... |
Review question
# Can we find the three inequalities that define this region? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
Ref: R8408
## Solution
In Fig. 1 (not drawn to scale) the curve has equation $x^2+4y^2=16$. The straight lin... |
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# Dalton's Law
Top
FAQ
## What is Dalton’s Law?
View Notes
Dalton’s law of partial pressure first published by John Dalton in the year 1802 states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures exerted by each individual gas present in the mixture. Eg: the ... |
## Rectangle Length Calculator
Rectangle <a href="https://studysaga.in/length-converter/">Length</a> <a href="https://studysaga.in/calculator-studysaga/">Calculator</a>
## Rectangle Length Calculator
Enter the width and area of the rectangle:
The length of the rectangle is:
The length of a rectangle refers to the ... |
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# SSC Real Numbers Exercise – 1.3 of 10th class
## SSC Real Numbers Exercise – 1.3 of 10th class
SSC Real Numbers Exercise – 1.3
• Positive or negative, Large or small, whole numbers or decimal numbers are all Real Numbers.
They are called “Real N... |
# 3.2: Combinations
[ "article:topic", "combinations", "Binomial Coefficients" ]
Having mastered permutations, we now consider combinations. Let $$U$$ be a set with $$n$$ elements; we want to count the number of distinct subsets of the set $$U$$ that have exactly $$j$$ elements. The empty set and the set $$U$$ are co... |
# NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.6
These NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.6 Questions and Answers are prepared by our highly skilled subject experts.
## NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in O... |
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# If tan (cot x) = cot (tan x), then sin 2x is equal to (a) $\dfrac{2}{\left( 2n+1 \right)\pi }$(b) $\dfrac{4}{\left( 2n+1 \right)\pi }$(c) $\dfrac{2}{n\left( n+1 \right)\pi }$(d) $\dfrac{4}{n\left( n+1 \right)\pi }$
Last updated date: 20th Jun 2... |
# Intuition Behind Polynomial Numerators in Partial Fractions
by Justin Skycak on
Each decomposition produces a system of linear equations where the number of unknowns equals the number of equations.
Consider the following partial fractions decomposition:
\begin{align*} \dfrac{7x^2-28x+17}{(x^2+1)(x-5)} = \dfrac{Ax... |
# Question: What Is The Least Square Method Used For?
## How do you find the trend value in least square method?
Measurements of Trends: Method of Least Squares(i) The sum of the deviations of the actual values of Y and Ŷ (estimated value of Y) is Zero.
Computation of trend values by the method of least squares (ODD... |
# Factors Of 120
Factors of 120 are the numbers, which gives the result as 120 when multiplied together in a pair. There are many factors that are commonly used in mathematical calculations such as factors of 56, 90, etc. Prime factors of number 120 basically give out prime numbers. To find the factors of a number, 12... |
Find The cube roots of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that
Question:
Find The cube roots of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that
(i) 3048625 = 3375 × 729
(ii) 20346417 = 9261 × 2197
(iii) 210644875 = 42875 × 4913
(iv) 57066625 = 166375 × 343
So... |
# How many significant digits are contained in the number 1804.00?
Jul 30, 2016
$6$
#### Explanation:
The first thing to notice here is that your number contains three non-zero digits, $1$, $8$, and $4$. As you know, all non-zero digits are significant.
$\textcolor{b l u e}{18} 0 \textcolor{b l u e}{4} .00 \to$ $3... |
# 180 Days of Math for Third Grade Day 51 Answers Key
By accessing our 180 Days of Math for Third Grade Answers Key Day 51 regularly, students can get better problem-solving skills.
## 180 Days of Math for Third Grade Answers Key Day 51
Directions Solve each problem.
Question 1.
22 – 11 =
Explanation:
The differen... |
# What is Subtraction with Borrowing?
Subtraction with borrowing – sometimes known as regrouping or exchanging – is a technique that lets us subtract any number from another. It works on a similar principle as addition with regrouping, which you might also hear referred to as carrying over.
We use subtraction with bo... |
## Tuesday, February 28, 2017
### The Direction of Forces in Two Dimensions
When adding forces in two dimensions, it is easy to find the magnitude of the resultant force using the Pythagorean Theorem. The resultant is the hypotenuse of a triangle made by the two forces.
It is also easy to find the direction of the t... |
# What Is Print Spiral Matrix?
What Is Print Spiral Matrix?
## Introduction
Wherever you go through an interview, it is rare to know that there is no question asked on arrays, and as arrays are categorised into three types, basically as:
• One dimensional array
• Two-dimensional arrays
• Multidimensional arrays
So... |
Equations of Straight Lines
Fundamentals of Straight Line Equations
• The equation of a straight line in the Cartesian coordinate system traditionally takes the form y=mx+c. Here, ‘m’ stands for the slope, or gradient of the line, while ‘c’ is the y-intercept - the point where the line crosses the y-axis.
• The slope... |
Imagine that in a future era humans decide to build a high speed train circumnavigating the globe at the equator.
Ignore the impracticalities of such an undertaking (e.g. building railroad tracks across an ocean) and think about this question: How long does the track need to be? This is easy to answer if you know the ... |
iarc6io
2022-07-19
The first term and the last term of an AP are 17 and 350 respectively. If the common difference is 9,how many terms are there and what is their sum?
Izabelle Frost
Expert
Step 1
Given
First term of A.P $\left({a}_{1}\right)=17$
Last term of A.P $\left({a}_{n}\right)=350$
Common defference $\left... |
# Non-unit fraction of a non-unit fraction
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Paul's Online Notes
Home / Algebra / Graphing and Functions / Inverse Functions
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# Write Linear Equations & Understanding Slopes
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The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house... |
SAT Math : How to find the slope of perpendicular lines
Example Questions
← Previous 1
Example Question #1 : How To Find The Slope Of Perpendicular Lines
Two points on line m are (3,7) and (-2, 5). Line k is perpendicular to line m. What is the slope of line k?
-5/2
2/5
3
-5
0
-5/2
Explanation:
The slope ... |
Difference between revisions of "2002 AMC 10B Problems/Problem 19"
Problem
Suppose that $\{a_n\}$ is an arithmetic sequence with $$a_1+a_2+\cdots+a_{100}=100 \text{ and } a_{101}+a_{102}+\cdots+a_{200}=200.$$ What is the value of $a_2 - a_1 ?$
$\mathrm{(A) \ } 0.0001\qquad \mathrm{(B) \ } 0.001\qquad \mathrm{(C) \ }... |
# Set is Equivalent to Proper Subset of Power Set
## Theorem
Every set is equivalent to a proper subset of its power set:
$\forall S: \exists T \subset \mathcal P \left({S}\right): S \sim T$
## Proof
To show equivalence between two sets, we need to demonstrate that a bijection exists between them.
We will now def... |
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# Special Right Triangles
Sep 13, 2022
## Key Concepts
• Find hypotenuse length in a 30°-60° -90° triangle
### Special Right Triangles
There are two special right triangles with angles measures as 45°, 45°, 90° degrees and 30°, 60°, 90° degrees.
### 30°-60°-90° Triangle Theo... |
## If you could change one thing about college, what would it be?
Outlier Articles Home
Statistics
# Sample Standard Deviation: What is It & How to Calculate It
12.15.2021 • 5 min read
## Sarah Thomas
Subject Matter Expert
This article is a guide on sample standard deviation, including concepts, a step-by-step p... |
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MEAP Preparation - Grade 6 Mathematics3.18 Adding and Subtracting with Different Units
Mathematical operations are carried out in the same way as normal decimal number... |
# Square & Square Root of 80
Last Updated: April 28, 2024
## Square of 80
80² (80×80) = 6400
To calculate the square of 80, you simply multiply 80 by itself:
Therefore, the square of 80 is 6400. This straightforward calculation is a building block for more complex mathematical operations and concepts, including al... |
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# 10.2: Graphs of Quadratic Functions in Intercept Form
Diff... |
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# 5.3: Medians and Altitudes in Triangles
Difficulty Level: At Grade Created by: CK-12
## Learning Objectives
• Define median and find the properties of the centroid.
• Apply medians t... |
#### Explain solution RD Sharma class 12 Chapter 10 Differentiation Exercise 10.7 question 16
$\frac{d y}{d x}=\frac{1}{\sqrt{3}} \; \; \text { At }\; \; t=\frac{2 \pi}{3}$
Hint:
Use $[\tan (\pi-\theta)=-\tan \theta]$ and $\frac{d(\sin t)}{d t}=\cos t$
Given:
\begin{aligned} &x=\cos t \\ &y=\sin t \end{align... |
# Area in Square Centimeters
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Area in Square Centimeters
CCSS.MATH.CONTENT.4.MD.A.3
## What is the Area in Square Centimeters?
Measuring the area of a shape means that you are measuring the amount of space inside the shape. This is done for a flat object such as a re... |
# How do you factor 27r^3 + 125s^3?
May 14, 2018
3r+5s)(9r^2-15rs+25s^2)
#### Explanation:
$\text{this is a "color(blue)"sum of cubes}$
$\text{which factors in general as}$
•color(white)(x)a^3+b^3=(a+b)(a^2-ab+b^2)
$27 {r}^{3} = {\left(3 r\right)}^{3} \Rightarrow a = 3 r$
$125 {s}^{3} = {\left(5 s\right)}^{3} \... |
# How to Calculate Simple Conditional Probabilities
/ / درس 15
### توضیح مختصر
Conditional probability, just like it sounds, is a probability that happens on the condition of a previous event occurring. To calculate conditional probabilities, we must first consider the effects of the previous event on the current ev... |
# How to Solve Special Right Triangles
By Isaiah David
There are two main types of special right triangles: the isosceles right triangle and the 30-60-90 triangle. Solving them can mean finding the value of a side, an angle or multiple sides and angles. By understanding the ratios of the sides to each other and to th... |
# Antiderivative
function whose derivative is the original function
Antidifferentiation (also called indefinite integration) is the process of finding a certain function in calculus. It is the opposite of differentiation. It is a way of processing a function to give another function (or class of functions) called an ... |
# How do calculate that? pls help me
## $\int \frac{{x}^{2} + 2 x + 3}{{x}^{2} + 2 x + 1} \mathrm{dx}$
Apr 14, 2018
$\int \frac{{x}^{2} + 2 x + 3}{{x}^{2} + 2 x + 1} \mathrm{dx} = x - \frac{2}{x + 1} + c$
#### Explanation:
$\int \frac{{x}^{2} + 2 x + 3}{{x}^{2} + 2 x + 1} \mathrm{dx}$
= $\int \left[\frac{{x}^{2} ... |
# How do you calculate the future value of an ordinary annuity?
## How do you calculate the future value of an ordinary annuity?
The two basic annuity formulas are as follows:
1. Ordinary Annuity: FVA = PMT / i * ((1 + i) ^ n – 1)
2. Annuity Due: FVA = PMT / i * ((1 + i) ^ n – 1) * (1 + i) n = m * t where n is the t... |
# If n(A) = 3 and n(B) = 5, find:
Question:
If $n(A)=3$ and $n(B)=5$, find:
(i) The maximum number of elements in $A \cup B$,
(ii) The minimum number of elements in $A \cup B$.
Solution:
Number of elements in set A n(A) = 3 and number of elements in set B n(B) =
5
The number of elements in $A \cup B$ is $n(A \c... |
Graphing Polynomials
Definitions:
• Polynomials are expressions involving x raised to a whole number power (exponent). Some examples are:
• Degree of a polynomial: The highest power (exponent) of x.
• Leading coefficient: The coefficient of the highest power of x.
In the case of it is +3.
• Constant term: The number... |
## Encyclopedia > Set
Article Content
# Set
In mathematics, a set is a collection of objects such that two sets are equal if, and only if, they contain the same objects. A finite set is a collection of a finite number of objects; the alternative is an infinite set. For a discussion of the properties and axioms conce... |
# Introduction to Vectors
This section covers:
# Introduction to Vectors
A vector (also called a direction vector) is just is something that has both magnitude (length, or size) and direction. So it’s different than a regular number, since it really has two components to it. We see vectors represented by arrows, ... |
Want some good news, free of charge? Graphing parent functions and transformed logs is a snap! You can change any log into an exponential expression, so this step comes first. You then graph the exponential, remembering the rules for transforming, and then use the fact that exponentials and logs are inverses to get the... |
# Complete factor expressions (below 100)
Lesson
We can make any number by using its factor pairs. Every number will have at least one factor pair, $1$1 and itself.
When we're completing factor expressions we need to think of a second number we can use to complete an expression. We can do this by counting or maybe d... |
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# Derive the formula for the curved surface area and total surface area of the frustum of a cone, given to you in Section 13.5, using the symbols as explained.
Let ABC be a cone. From the cone the frustum DECB is cut by a plane parallel to its base. Here, r1 and r2 are the rad... |
# If the $m$th term of an Arithmetic Progression is $\frac{1}{n}$ and the $n$th term is…
Problem :
If the $m$th term of an A.P is $\frac{1}{n}$ and the $n$th term is $\frac{1}{m}$ then prove that the sum to $mn$ terms is $\frac{mn+1}{2}$
My working :
Let $a$ be the first term of the progression and $d$ the common d... |
### Weekly Challenge 43: A Close Match
Can you massage the parameters of these curves to make them match as closely as possible?
### Weekly Challenge 44: Prime Counter
A weekly challenge concerning prime numbers.
### Weekly Challenge 28: the Right Volume
Can you rotate a curve to make a volume of 1?
# Weekly Chal... |
# Calculate 20% of \$2000 – Quick Math Guide
Welcome to our quick math guide on calculating 20% of \$2000. Whether you’re trying to determine a discount, calculate a tip, or solve any other percentage-related problem, understanding how to calculate percentages is an important skill to have. In this guide, we’ll walk y... |
## A circular placemat has 44 inches of braid around the edge. What is the area of the placemat to the nearest square inch? Use 3.14 for π.
Question
A circular placemat has 44 inches of braid around the edge. What is the area of the placemat to the nearest square inch? Use 3.14 for π.
Enter the correct answer in the... |
# How do you solve 5y + 9- 2( - 4y - 2) = 5( y - 1)?
Sep 16, 2017
$y = - \frac{18}{8}$
#### Explanation:
$5 y + 9 - 2 \left(- 4 y - 2\right) = 5 \left(y - 1\right)$
To simplify the eqaution,we need to solve the brackets,we need to multiply $- 2$ with $\left(- 4 y - 2\right)$ and also $5$ with $\left(y - 1\right)$
... |
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# How To Simplify Imaginary Numbers
By Kathleen Cantor, 03 Jul 2020
An imaginary number is essentially a complex number - or two numbers added together. The difference is that an imaginary number is the product of a real number, say b, and an imaginary number, j. The imagina... |
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# The Fibonacci Sequence
Mia Temma
·Sep 29, 2021·
The Fibonacci sequence is a sequence `Fn` of natural numbers defined recursively:
`````` F0 = 0
F1 = 1
Fn = Fn-1 + Fn-2, if n>1
``````
Write a function to generate the `nth` Fibonacci number.
Solutions can be iterative or recursive (though recursi... |
# What is 135/86 as a decimal?
## Solution and how to convert 135 / 86 into a decimal
135 / 86 = 1.57
To convert 135/86 into 1.57, a student must understand why and how. Both represent numbers between integers, in some cases defining portions of whole numbers But in some cases, fractions make more sense, i.e., cooki... |
Question Video: Finding a Side Length and an Angle Using Parallel Lines and Traversals Mathematics
Consider triangle π΄π΅πΆ and lines π΄π and πΈπ·, which are parallel to line πΆπ΅. Find the length of the line segment π΄π΅. Find the measure of β π΄π΅πΆ.
02:42
Video Transcript
Consider t... |
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# Represent and Interpret data
Sep 27, 2022
## Key Concepts
• Data and line plot
• Analyzing the line plot
## Introduction
In this chapter, we will learn about data and line plots, how to read the line plot and how to analyze the line plot.
### Data and line plot
#### What ... |
Home
Linear Model - Number Lines Materials: Deck of Fraction Bars per group and one sheet of paper and pencil per person Show a bar for 2/6 and note that the rectangular shape of the bars, as compared to the circular shape of discs or pies, has the advantage that it conveniently extends to a linear model for number li... |
## Friday, February 9, 2007
### Don't You Wish You Remembered Those Trig Identities. Topic: Trigonometry. Level: AMC/AIME.
Problem: (1962 IMO - #4) Solve the equation $\cos^2{(x)}+\cos^2{(2x)}+\cos^2{(3x)} = 1$.
Solution: Subtract the $\cos^2{(3x)}$ from both sides, and replace the LHS by $\sin^2{(3x)}$, so we now h... |
# Ratio to Percentage
Ratio to percentage conversion process helps to represent a number in ratio form in terms of percentage. You have often seen the percentage as a way to evaluate a student’s performance in examinations. Thus, the percentage is used to compare quantities. It literally means ‘per 100’, which is a nu... |
# How to Solve an Inequality With Fractions
0
81
Inequalities with fractions are inequalities in which one or more fractions occur in the denominator or the numerator. In such cases, the unknown variable is smaller than or equal to the value of the numerator. In these cases, we need to determine the critical value of... |
<meta http-equiv="refresh" content="1; url=/nojavascript/"> Applications Using Linear Models ( Real World ) | Algebra | CK-12 Foundation
# Applications Using Linear Models
%
Best Score
Practice Applications Using Linear Models
Best Score
%
## Real World Applications – Algebra I
### Topic
How can we represent how m... |
# Three equal cubes are placed adjacently in a row. Find the ratio of total surface area of the new cuboid to that of the sum of the surface areas of the three cubes.
Given:
Three equal cubes are placed adjacently in a row.
To do:
We have to find the ratio of total surface area of the new cuboid to that of the sum ... |
# Divisibility Rules Explained
Related Topics:
More Lessons for Math Games and Math Trivia
Math Worksheets
Divisibility Rule for 3, 9, 7 and 11 - Why they work?
Divisibility by 3 and by 9: Why do they work?
Most everyone seems to know the rule for divisibility by three: add up the digits and see if the sum is a mult... |
# Twenty One Cylindrical Pillars of the Parliament House Are to Be Cleaned. If the Diameter of Each Pillar is 0.50 M and Height is 4 M - Mathematics
Twenty one cylindrical pillars of the Parliament House are to be cleaned. If the diameter of each pillar is 0.50 m and height is 4 m, what will be the cost of cleaning th... |
# What is the equation of the line with slope m= -3/7 that passes through (17/13,14/7) ?
##### 1 Answer
Jun 20, 2018
$y = - \frac{3}{7} x + \setminus \frac{233}{91}$
#### Explanation:
When you know a given point $\left({x}_{0} , {y}_{0}\right)$ and the slope $m$, the equation of a line is
$y - {y}_{0} = m \left... |
How many points are there in the compass rose? Find out in this quiz.
# Position (Easy)
In this 11-plus Maths quiz, you are going to learn a little more about the compass. Did you know that the Chinese invented the compass over two thousand years ago?
Before you start this easy quiz, here's a tip: North East (NE) is... |
# Empirical Formula
## Empirical Formula
The simplest formula or the empirical formula provides the lowest whole number ratio of atoms existent in a compound. The relative number of atoms of every element in the compound is provided by this formula.
Steps for Determining an Empirical Formula
• Let’s begin with wh... |
### 2-digit Square
A 2-Digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?
### What's Possible?
Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANN... |
There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Mensuration. In the right column below are links to related online activities, videos and teacher resources.
A lesson starter does not have to be on the same topic as the main part of ... |
# Michigan - Grade 1 - Math - Geometry - Composite Shapes - 1.G.2
### Description
Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a... |
# Divisible by 7 | Divisibility Rule for 7 | How to Check if a Number is Divisible by 7 or Not?
Mathematics is not an easy subject until you understand the concept and compare it with the examples. Students who want to know about the divisibility rules of 7 can use this page. We help you to understand the concept of d... |
Students can Download Chapter 2 Whole Numbers Ex 2.3 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 6 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.
## Karnataka State Syllabus Class 6 Maths Chapter 2 Whole Numbers Ex 2.3
Question 1.
Which... |
AllenHeard
March 15, 2017
110
# Big O Notation
Year 13 Lesson
March 15, 2017
## Transcript
1. ### BIG O NOTATION How well do algorithms scale as the
data size increases?
2. ### Big O Notation ▪ Big O notation is used in
Computer Science to describe the performance or complexity of an algorithm. ▪ It specifically... |
# How do I solve the differential equation y"-4y'-5y=0 with y(-1)=3 and y'(-1)=9?
Mar 12, 2015
As written, there is no solution to the problem.
Definitions: nth-order differential equation: a differential equation in which the highest-order derivative presented is of order n. Thus, a first-order differential equatio... |
Proof that all integers are equal June 1, 2017
Posted by Ezra Resnick in Math.
In particular, we prove that n = -1 for any integer n.
First, assume that n is odd. That means that n – 1 is even, so n – 1 = 2k for some integer k.
The following identity is trivially true for any n:
n2 – 1 = (n – 1)(n + 1)
We can sub... |
### Home > AC > Chapter 16 > Lesson 16.9.1.1 > Problem9-7
9-7.
A child tosses a tennis ball into the air and it lands in the mud. The function $h\left(t\right) = -16\left(t - 0.5\right)^{2} + 8$ gives the ball’s height in feet with respect to time in seconds. (When you study physics or calculus you will learn how to ... |
# Algebra for Digital Communication
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## Transcription
1 EPFL - Section de Mathématiques Algebra for Digital Communication Fall semester 2008 Solutions for exercise sheet 1 Exercise 1. i) We will do a proof by contradiction. Suppose 2 a 2 but 2 a. We will obtain a con... |
RD Sharma Class 12 Exercise 28.8 The Plane Solutions Maths - Download PDF Free Online
# RD Sharma Class 12 Exercise 28.8 The Plane Solutions Maths - Download PDF Free Online
Edited By Lovekush kumar saini | Updated on Jan 25, 2022 11:55 AM IST
RD Sharma is a well-known name for many students in CBSE schools. Many sc... |
Number and Operations :
Rational Numbers
The major focus of the work on rational numbers in grade 5 is on understanding
relationships among fractions, decimals, and percents. Students make comparisons and
identify equivalent fractions, decimals, and percents, and they develop strategies for
adding and subtracting frac... |
An Illustrated Proof of the First Group Isomorphism Theorem
# An Illustrated Proof of the First Group Isomorphism Theorem
Recall from The First Group Isomorphism Theorem page that The First Group Isomorphism Theorem (also known as The Fundamental Theorem of Group Homomorphisms) states that if $G$ and $H$ are groups a... |
# Proportion word problems
There are lots of situations that can create proportion word problems. We will illustrate these situations with some examples
Problem # 1
Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons.
Set up the ratios, but make sure that the two r... |
# Find the amount and the compound interest on Rs 160000 for 2 years
Question:
Find the amount and the compound interest on Rs 160000 for 2 years at 10% per annum, compounded half-yearly.
Solution:
Principal, $P=$ Rs. 160000
Annual rate of interest, $R=10 \%$
Rate of interest for a half year $=\frac{10}{2} \%=5 \... |
Theory:
You can use the following procedure if you know that the given number is a cube number.
Step 1: Choose any cube number.
Step 2: Start by forming groups of three digits from the number's rightmost digit. We get more than one group.
$\begin{array}{l}\underset{¯}{\phantom{\rule{0.147em}{0ex}}\mathit{abc}\phant... |
# Form 1 Unit 15 Lesson 1 – Volume of Solids
### Objectives
At the end of this lesson, student should be able to:
• Recognize the need for cubic metres
• Understand that measurements of and volume are based on standard units.
• Convert between metric unit of volume
Volume is a measure of the amount of space that a ... |
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