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# Volume and Surface Area of a Sphere
Spheres are amazing. They are perfectly symmetrical. They’re super strong because they have no weak points. They naturally occur in the form of tiny things like atoms, small things like water droplets and bubbles, and enormous things like our sun. And we can calculate the volume a... |
## Equations
Equations can often be solved by guessing.
"I think of a number and add 6 to it." "The result is 10. " "What is the number?"
Most people can easily work out that the number is 4.
In mathematics, we would write an equation x + 6 = 10, where x stands for the number. We would then solve the equation to f... |
Third grade marks a crucial year in the progression of students’ math skills. Students begin to visualize numbers in new ways. Equal groups and rectangular arrays are introduced. They venture away from the whole number system to explore fractions and decimals. And they begin to understand and quantify characteristics o... |
# 2/97 as a simplified form
Here you will see step by step solution to simplify 2/97 fraction to simplified form. 2/97 as a simplified form is 2/97 ,please check the explanation that how to convert 2/97 fraction, as a simplified form.
## Answer: 2/97 as a simplified form is
= 2/97
### How to simplify 2/97 as a simp... |
# Interactive video lesson plan for: How to find Interquartile range Range (IQR) Lower Quartile ( Q1) and Upper Quartile (Q3)
#### Activity overview:
In this video you will learn how to find Q1 ( Lower Quartile), Q3
( Upper Quartile) and Interquartile Range ( IQR)
Transcript
Welcome to MooMooMath where we upload a n... |
# Differentiation of Logarithmic Functions
Examples of the derivatives of logarithmic functions, in calculus, are presented. Several examples, with detailed solutions, involving products, sums and quotients of exponential functions are examined.
## First Derivative of a Logarithmic Function to any Base
The first der... |
Introduction to Regression Analysis #1
Regression Analysis is one most used statistical methods in practical applications. It is used to study trends of data and needs a minimum of 2 variables for the simplest analysis.
Which multiple variables?
In regression analysis we need at least 2 variables for the simplest ca... |
# Permutations And Combinations
In mathematics, the notion of permutation combination is used in slightly different way from the ordinary meaning. Permutation and combination are the separate words. We can easily differentiate them on the basis of orders, the arrangement of objects. In permutation objects are in some ... |
Evaluating n x n Determinants with Minor and Cofactor Entries
Be sure to review what a Minor and Cofactor entry is, as this section will rely heavily on understanding these concepts.
# Evaluating n x n Determinants Using Cofactors/Minors
Finding the determinant of a $2 \times 2$ matrix is relatively easy, however fi... |
Accounting. Foil definition is - to prevent from attaining an end : defeat. A visual representation of the FOIL rule. One of math's most popular acronyms is FOIL. Have them erase the numbers on the tiles, and write a new equation on the board (8x - 3)(3x- 4). The best way to multiply polynomials is the grid method. Exa... |
# 3.09 x9
Lesson
## Ideas
Multiplication looks at equally sized groups. Can you solve this problem?
### Examples
#### Example 1
Find the value of 8 \times 5.
Worked Solution
Create a strategy
This can be thought of as 8 groups of 5 squares, as represented in the image below.
Apply the idea
There are 40 square... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
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# Limits and Asymptotes
## Value the output of a function approaches as the input approaches a value; guidelin... |
# Collinearity of Three Points
In geometry, a point determines the location on a plane. We can mark any number of points on a plane. Suppose if you mark three points on a paper, we would be required to label them by a single capital letter like A, B, C or P, Q, R since we need to represent the points using capital let... |
# 2.13: Kite Properties
Difficulty Level: At Grade Created by: CK-12
## Learning Objectives
• Identify and classify a kite.
• Identify the relationship between diagonals in kites.
• Identify the relationship between opposite angles in kites.
## Kites
Among all of the quadrilaterals you have studied so far, kites a... |
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# UMEP Mathematics Exam Revision Book
## Topic 5: Linear Equations and Matrices
Linear equations and linear systems
A linear equation in n variables, x1 , x2 ,
a1 x1 a2 x2
where a1 , a2 ,
an xn b
## , an are constants (not all zero) and b is also a constant.
A system of linear equations or ... |
# How to Round Decimals? (+FREE Worksheet!)
Decimals are a way of displaying very small numbers without using a fraction. Decimal numbers are numbers that consist of two parts, integer, and decimal.
Fractions whose denominator is $$10$$ or $$100$$ or $$1000$$ or … are called decimal fractions.
Note: In decimal numbe... |
GreeneMath.com - Solving Linear Inequalities in one Variable II Lesson
# In this Section:
In this section, we continue to learn the basics of a linear inequality in one variable. This includes revisiting many of the basic properties of inequalities that we discussed in prealgebra. We will learn how to solve a linea... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Cofunction Identities and Reflection
Based on complements of angles.
Estimated5 minsto complete
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Practice Cofunction Identities and Reflection
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# How do you find the slope that is perpendicular to the line y = x + 7?
Mar 19, 2018
See a solution process below:
#### Explanation:
The equation in the problem is in slope intercept form. The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$
Where $\textcolor{red}... |
# Extracting the common factor in parentheses
๐Practice factorization of common factor out of parenthesis
Common Factor Extraction Method:
Identify the largest free number that we can extract.
Then, let's move on to the variables and ask what is the least number of times the $X$ appears in any element?
Multiply th... |
# Geometry
## Objective
Determine the relationship between the area and radius of a circle and use it to solve problems.
## Common Core Standards
### Core Standards
?
• 7.G.B.4 — Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relatio... |
# Two`s Complement to Decimal Conversion These are examples of
```Two’s Complement to Decimal Conversion
These are examples of converting an eight-bit two's complement number to decimal. To do this,
you first check if the number is negative or positive by looking at the sign bit. If it is positive,
simply convert it t... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
You are viewing an older version of this Concept. Go to the latest version.
# Composite Solids
## Solids made up of two or more solids.
Estimated9 minsto complete
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# Lattice Points of an Arbitrary Polygon
Lecture 3
In lecture 1 we looked at the number of lattice points given by circles and a certain hyperbola. Moreover, in lecture 2 we studied the number of lattice points that lie on a given line of the form . However, what is the number of lattice points that lie i... |
# Factorize each of the following algebraic expression:
Question:
Factorize each of the following algebraic expression:
x2 + 12x − 45
Solution:
To factorise $\mathrm{x}^{2}+12 \mathrm{x}-45$, we will find two numbers $\mathrm{p}$ and $\mathrm{q}$ such that $\mathrm{p}+\mathrm{q}=12$ and $\mathrm{pq}=-45$.
Now
$15... |
Lesson Video: Evaluating Trigonometric Function Values with Angles 30, 45, and 60 Mathematics
In this video, we will learn how to find the trigonometric function values for 30-, 45-, and 60-degree angles.
20:18
Video Transcript
Evaluating Trigonometric Function Values with Angles 30, 45, and 60
In this video, we w... |
JSS 1 Mathematics Third Term Week 5
Topic: CONSTRUCTION: PARALLEL AND PERPENDICULAR LINES
In geometry, to construct a figure means to draw it accurately. Accurate construction depends on using measuring and drawing instruments properly.
There is a useful property to show that 2 given lines are parallel. This propert... |
SCERT AP 7th Class Maths Solutions Pdf Chapter 9 Algebraic Expressions Ex 9.3 Textbook Exercise Questions and Answers.
## AP State Syllabus 7th Class Maths Solutions 9th Lesson Algebraic Expressions Ex 9.3
Question 1.
Write standard form and additive inverse of the following expressions.
(i) – 6a
Additive inverse of ... |
On this page, you will find Integers Class 7 Notes Maths Chapter 1 Pdf free download. CBSE NCERT Class 7 Maths Notes Chapter 1 Integers will seemingly help them to revise the important concepts in less time.
CBSE Class 7 Maths Chapter 1 Notes Integers
Integers Class 7 Notes Conceptual Facts
1. Number line
For a pos... |
# DECODEIT - Editorial
Author: Swetanjal Murati Dutta
Editorialist: Akash Bhalotia
Easy
### PREREQUISITES:
Binary to Decimal conversion
### PROBLEM:
An encoder encodes the first 16 lowercase English letters using 4 bits. Each bit from the left signifies the half the letter lies in: if the first bit is 0, it means... |
# Double Digit Multiplication Strategies
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$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... |
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Q)
Integrate the function $\frac{\large 1}{\large x-\sqrt x}$
$\begin{array}{1 1} 2 \log\;|\sqrt x-1|+c \\ 2 \log\;|\sqrt x+1|+c \\ \log\;|\sqrt x-1|+c \\ \log\;|\sqrt x+1|+c \end{array}$
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Toolbox:
• Method of substitution:
• Given $\int f(x)dx$ can be transformed into another form by changin... |
ASVAB Arithmetic Reasoning Practice: Two-Dimensional Geometry Problems - dummies
# ASVAB Arithmetic Reasoning Practice: Two-Dimensional Geometry Problems
On the Arithmetic Reasoning subtest on the ASVAB, two-dimensional geometry questions are usually pretty straightforward. However, if they’re presented as word probl... |
# How to solve by substitution method
We can do your math homework for you, and we'll make sure that you understand How to solve by substitution method. We can help me with math work.
## How can we solve by substitution method
Read on for some helpful advice on How to solve by substitution method easily and effectiv... |
# # Distributive Property of Exponents
The distributive property of exponents over multiplication says that when you have multiple factors raised to an exponent, the exponent can be distributed to each of the factors individually.
This property can also be applied to division and it can be used in reverse to multiply... |
# A Few Inductive Fibonacci Proofs
Having studied proof by induction and met the Fibonacci sequence, it’s time to do a few proofs of facts about the sequence. We’ll see three quite different kinds of facts, and five different proofs, most of them by induction. We’ll also see repeatedly that the statement of the proble... |
# Maths MCQs for Class 9 with Answers Chapter 7 Triangles
Find here the NCERT Book Multiple Choice Questions from Class 9 Maths book with Answers Pdf free download as per CBSE new exam pattern. This may assist you to understand and check your knowledge about the chapters. Students also can take a free test of the Mult... |
## Fractions
Fractions are two numbers written vertically around a horizontal bar. The upper number is called the numerator, the lower number is called the *denominator. Fractions signify the relationship between two numbers. In counting they show a portion of a whole.
Proper fractions have a numerator that is lesser ... |
# Advanced Number Properties on the GMAT – Part VII
We have seen a number of posts on divisibility, odd-even concepts and perfect squares. Individually, each topic has very simple concepts but when they all come together in one GMAT question, it can be difficult to wrap one’s head around so many ideas. The GMAT excels... |
# Connexions
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# Central Limit Theorem: Practice
Note: You are... |
# Line Graphs to Display Data Over Time
## Display given data as linear change on coordinate graphs.
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# Completing the Square The MEnTe Program Math Enrichment through Technology Title V East Los Angeles College ©2003 East Los Angeles College. All rights.
## Presentation on theme: "Completing the Square The MEnTe Program Math Enrichment through Technology Title V East Los Angeles College ©2003 East Los Angeles College... |
# Interconversion of Fraction and Decimal
## Notes
### Inter-conversion of fractions and decimals:
#### 1) Fractions as decimals:
A fraction with denominator 10 can be represented using decimals.
Let us now try to find a decimal representation of 11/2.
11/2 = (11 xx 5)/(2 xx 5) = 55/10 = (50 + 5)/10 = 50/10 + 5/1... |
# What is the square root of 1/2?
Jun 1, 2018
See a solution process below:
#### Explanation:
Square root of $\frac{1}{2} = \sqrt{\frac{1}{2}}$
We can use this rule for radicals to rewrite the expression:
$\sqrt{\frac{\textcolor{red}{a}}{\textcolor{b l u e}{b}}} = \frac{\sqrt{\textcolor{red}{a}}}{\sqrt{\textcolor... |
# NCERT Solutions Class 12 maths Chapter-1(Relation And Functions)Exercise 1.3
NCERT Solutions Class 12 Maths from class 12th Students will get the answers of Chapter-1 (Relation And Functions) Exercise 1.3 This chapter will help you to learn the basics and you should expect at least one question in your exam from thi... |
# Number Plane (Q1, plot and name points)
Lesson
## Where are we?
We may be able to find where we live on a map, but would we describe it to somebody else? What if they were on the other side of the world and had no idea where our town was? A number line helps with direction, but only left and right, or up and down.... |
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# Video: Finding the π₯-Intercept of a Function
Which function has the smallest π₯-intercept? [A] 2π₯ + 3π¦ = β 6 [B] π(π₯) = β8π₯ [C] A function graphed by a line of slope 2 through (1, 4) [D] The line shown on the graph [E] 2π₯ + 3π¦ = 6
05:22
### Video Transcript
Which function has the sma... |
# Least Common Multiples. Multiples Multiples are the product of a number and any whole number. LCM- least common multiple- the least multiple common.
## Presentation on theme: " Least Common Multiples. Multiples Multiples are the product of a number and any whole number. LCM- least common multiple- the lea... |
How do you teach students to multiply decimals?
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
How do you teach multiplying and dividing decimals?
Multiplying ... |
# What Is 42/90 as a Decimal + Solution With Free Steps
The fraction 42/90 as a decimal is equal to 0.466.
A fraction is another way of expressing a division. Suppose the dividend is p and the divisor is q, then the fraction notation (unlike the usual p $\boldsymbol\div$ q) is p/q, where p and q are called the n... |
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# The diameter of the moon is about 3500 km. What will be the diameter of the image formed by a concave mirror of radius 3m? Assume that the distance of the moon is about $3.5\times {{10}^{5}}$ km.(a) 5 mm(b) 10 mm(c) 15 mm(d) 20 mm
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# How do you simplify the expression ${{\csc }^{2}}\theta -{{\cot }^{2}}\theta$?
Last updated date: 20th Jun 2024
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Hint: From the question given, we have been asked to simplify ${{\csc }^{... |
# If a and b are the Zeros of the Polynomial f (X)=x² – 5x +k such that a-b =1, Find the Value of k?
By BYJU'S Exam Prep
Updated on: October 17th, 2023
If a and b are the zeroes of the polynomial f(X)=x² – 5x +k such that a-b =1 , find the value of k?
To find the value of k, we willl use the sum of zeros formula.
... |
# Vector operations in two dimensions
### Vector operations in two dimensions
#### Lessons
In this lesson, we will learn:
• How to do addition, subtraction, multiplication and division on vectors in two dimensions
• How to describe the angles of two dimensional vectors
• How to solve for the angle and magnitude of t... |
# RS Aggarwal Solutions for Class 8 Maths Chapter 11 - Compound Interest
RS Aggarwal Solutions For Class 8 Maths Chapter 11 Compound Interest is provided here. You can download the pdf of RS Aggarwal Solutions for Class 8 Maths Chapter 11 Compound Interest from the given links. RS Aggarwal Solutions helps students to... |
# Inter 1st Year Maths 1A Trigonometric Ratios up to Transformations Solutions Ex 6(a)
Practicing the Intermediate 1st Year Maths 1A Textbook Solutions Inter 1st Year Maths 1A Trigonometric Ratios up to Transformations Solutions Exercise 6(a) will help students to clear their doubts quickly.
## Intermediate 1st Year ... |
# Welcome to the Planet of Exponents!
## Welcome tourists to the Planet of Exponents!
Here on our planet, we follow the guidelines of the 7 laws of exponents, hence the name. To help you all on your way and to stay out of trouble, read on to learn about the 7 laws of exponents: the product rule, quotient rule, the po... |
# Volume Calculation - Solved Examples
Q 1 - The diagonal of a cube is 12√6m .Find its surface area.
A - 1624 m2
B - 1728 m2
C - 2564 m2
D - 1254√2m2
Explanation
```Let the edge of the cube be X.
√(3 )X=12√(6)
⇒ X=12√(2)
Surface area = 6X2 = (6 x 12√(2) x12√(2)) m2 ≡ 1728 m2.
```
Q 2 - The surface area of a cub... |
660 minus 70 percent
This is where you will learn how to calculate six hundred sixty minus seventy percent (660 minus 70 percent). We will first explain and illustrate with pictures so you get a complete understanding of what 660 minus 70 percent means, and then we will give you the formula at the very end.
We start ... |
# How to effectively solve Motion in One dimension Problems
Motion in one dimension is one of the important chapter in Mechanics. This post is given to give the feel of the whole chapters plus the type of questions and ways to tackle motion in one dimension/linear motion problems. This is quite beneficial for anybody ... |
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# A bag contains $8$red and $7$black balls. Two balls are drawn at random. Find the probability that the both balls are of the same color.
Last updated date: 16th Jun 2024
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Hint: Probab... |
## Some Nārāyaṇa-like convergents and their geometric and trigonometric connections
While playing with an iterative geometric construction in our youth we discovered for ourselves a particular right triangle whose sides are in the proportion $1: \sqrt{\phi} : \phi$, where $\phi= \tfrac{1+\sqrt{5}}{2}$ is the Golden Ra... |
## Solutions to algebra-IV
In this page, 'Solutions to algebra-IV' we are discussing how to do the problems given in problems on algebra-IV.
### Solutions to algebra-IV
1. Determine whether (x+1) is a factor of the following polynomials.
(i) 6x + 7x³ - 5x - 4
Solution:
By factor theorem, if p(-1) = ... |
# What is 2 2/5 as a fraction?
#### Understand the Problem
The question is asking how to express the mixed number 2 2/5 as an improper fraction. To do this, we need to convert the whole number part and the fractional part into a single fraction.
The improper fraction is $\frac{12}{5}$.
The improper fraction is $\fr... |
# How do you solve the rational equation (2x)/(x+4)=3/(x-1)?
May 11, 2018
color(blue)(x = 4, -3/2
#### Explanation:
$\frac{2 x}{x + 4} = \frac{3}{x - 1}$
$2 x \cdot \left(x - 1\right) = 3 \cdot \left(x + 4\right) , \text{ cross multiplying}$
$2 {x}^{2} - 2 x = 3 x + 12 , \text{ removing braces}$
$2 {x}^{2} - 2 x... |
# Solving the Derivative of cos(2x) Video
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Year Six Mathematics Worksheets
Math can be a challenging subject for kids, especially when it comes to solving complex problems involving decimals. However, with the right approach and understanding, even the most challenging math problems can be conquered. In this article, we will discuss how kids can solve multi-di... |
# Week 1 – precalculus 11
In my first week of Pre-Calculus 11 I learned some interesting concepts. However, the concept of an Arithmetic Series intrigued me the most. An Arithmetic Series is the sum of all terms in a sequence in which the numbers are increasing or decreasing by the same amount in the next place in th... |
In this section, we will learn that even when $y$ is not explicitly expressed in terms of $x$, we can apply differentiation rules to find $dy/dx$. This is called implicit differentiation.
In most of the functions that we have encountered, the dependent variable, $$y$$, has been explicitly expressed in terms of the ind... |
Question
# If a, b and c are in AP then ${{x}^{a}},{{x}^{b}},{{x}^{c}}$ will be ina) GPb) HPc) APd) Sp
Hint: Since it is given that a, b and c are in AP, i.e. Arithmetic Progression. Therefore, we can write b as the arithmetic mean of a and c, i.e. $b=\dfrac{a+c}{2}$.
So, we get a relation between a, b and c. Now, ta... |
# How do you simplify 2sqrt3(5sqrt3 + 5sqrt5)?
Nov 1, 2017
Expression $= 10 \left(3 + \sqrt{15}\right) \approx 68.72983$
#### Explanation:
Expression $= 2 \sqrt{3} \left(5 \sqrt{3} + 5 \sqrt{5}\right)$
Expand;
$= 10 \times \sqrt{3} \times \sqrt{3} + 10 \times \sqrt{3} \times \sqrt{5}$
$= 10 \times 3 + 10 \times ... |
Maths Topic Statistics for SSC-CGL Exam - Study24x7
# Maths Topic Statistics for SSC-CGL Exam
Updated on 02 July 2021
SSC Preparation Strategies & S
Updated on 02 July 2021
The aspirants who are preparing for SSC CGL must understand what SSC CGL is.
The SSC CGL age limit and syllabus for SSC CGL has been already me... |
# Transforming the Equation of a Circle
## Presentation on theme: "Transforming the Equation of a Circle"— Presentation transcript:
Transforming the Equation of a Circle
The equation for a circle can be presented in two popular formats:
STANDARD FORM: (x – h)2 + (y – k)2 = r2b -sometimes referred to as Centre-Radius... |
We Tutor All Subjects & Grade Levels - In Home And Online
December 23, 2022
Prime Factorization is a mathematical method used to split up a composite number into its prime factors. Composite numbers can be divided by more than just 1 and itself to conclude in a whole number. Prime numbers can only be divided by 1 and ... |
# What Is Half Of 13
What is Half of 13?
We all know that 13 is an odd number, so if you’re wondering what half of 13 is, the answer is simple: 6.5. Half of 13 is also equal to 6 1/2 or 6 and a half. But why is this the case? Keep reading to find out!
## Why is Half of 13 6.5?
Contents
The answer to this question... |
Question 110
# A person invested equal amounts in two schemes A and B at the same rate of interest. Scheme A offers simple interest while scheme B offers compound interest. After two years he got Rs. 1920 from scheme A as interest and Rs. 2112 from scheme B. If the rate of interest is increased by 4%, what will be the... |
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# Functions
Functions are a mathematical relationship. They involve an input and produce an output. Using algebra, functions can be written as f and the input as x, c... |
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How Many Face Cards in a Deck: Exploring the Fascinating World of Playing Cards
Playing cards have been a source of entertainment and fascination for centuries. Whether it's a casual game of poker with friends or a high-st... |
# Evaluate: \lim_{y arrow 5} ((y-\frac{25)/(y)}{y-5})
## Expression: $\lim_{y \rightarrow 5} \left(\frac{ y-\frac{ 25 }{ y } }{ y-5 }\right)$
Evaluate the limits of numerator and denominator separately
$\begin{array} { l }\lim_{y \rightarrow 5} \left(y-\frac{ 25 }{ y }\right),\\\lim_{y \rightarrow 5} \left(y-5\right... |
# Proof by Induction
Published Oct 1, 2023Updated Jan 1, 2024
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Proof by induction is a technique used in discrete mathematics to prove universal generalizations. A universal generalization is a claim which says that every element in some series has some property. For example, the following is a univ... |
# Lesson 2
Lesson 2: Evaluating Functions
To Evaluate a function,
1.Substitute the value in function of x.
2.Replace all the variable xwith the value of the function.
3.Compute and simplify the given function.
Example 1 Given the function: f(x ) = 2x + 1 , nd f(6) .
Substitute 6 in place holder x,
f(6) = 2 x+ 1
Replac... |
# Prove by mathematical induction that $2n ≤ 2^n$, for all integer $n≥1$?
I need to prove $2n \leq 2^n$, for all integer $n≥1$ by mathematical induction?
This is how I prove this:
Prove:$2n ≤ 2^n$, for all integer $n≥1$
Proof: $2+4+6+...+2n=2^n$
$i.)$ Let $P(n)=1 P(1): 2(1)=2^1\implies 2=2$. Hence, $P(1)$ is true.... |
# 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 with... |
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# Solve the differential equation $\Large \frac{dy}{dx}\normalsize=1+x+y^2+xy^2,$when y=0,x=0.
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Toolbox:
• A linear differential equation of the form.
• $\large\frac{dy}{dx}$$=f(x), can be solved by seperating the variable and then integrating it. • \int \large\frac{dx}{x^2+a^2}=\frac{1}{a}... |
# SAT Math: Circles Inscribed in Squares
In this series, we will cover many types of geometric scenarios encountered on the SAT Math test. A basic knowledge of simple formulas (area, perimeter, etc.) is essential, but there are numerous shortcuts to geometry questions that will save you time. Today, we’ll explore circ... |
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# TutorMe Blog
## Three Ways to Find the Volume of Pyramids
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Jana Russick
April 06, 2021
The volume of a pyramid is the number of cubic units inside the pyramid.
Before we go over calculating this volume, let’s review what a pyramid is. A pyramid is a three-dimensional figure where ... |
# Lesson Video: Simplifying Radicals — Minimising the Value under the Root Mathematics
Understand how to use square factors to minimise the value under the root in a radical expression and how to use this to simplify radical expressions, or surds.
14:44
### Video Transcript
Let’s take a look at simplifying radicals... |
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# General Solutions of Triangles
## Application of pythagorean theorem, trigonometric functions, and laws of sines/cosines.
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Missing number and reasoning problems for SSC CGL Exams
Ten most important Missing number series questions and answers, Number Series Questions for SBI Clerk ,SBI PO with solution , for SSC GL , SSC CHSL , RRB NTPC and other competitive Exams have been discussed in ... |
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# NCERT Solutions for Class 10 Maths Exercise 2.2
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Download the app to get CBSE Sample Papers 2023-24, NCERT Solutions (Revised), Most Important Questions, Previous Year Question Bank, Mock Tests, and Detailed N... |
# How do you solve the system of equations y=3x-2 and y=-x+2 using substitution?
Jun 27, 2016
$x = \frac{3}{4} \mathmr{and} y = \frac{5}{4}$
#### Explanation:
Given:
$y = 3 x - 1$ - > Equation 1
$y = - x + 2$ - > Equation 2
Substituting value of y in 1, we get $\left(- x + 2\right) = \left(3 x - 1\right) \implies... |
# For what values of x is f(x)=3x^3-7x^2-5x+9 concave or convex?
Jun 5, 2016
$f$ is concave (concave down) on $\left(- \infty , \frac{7}{9}\right)$ and is convex (concave up) on $\left(\frac{7}{9} , \infty\right)$.
#### Explanation:
The convexity and concavity of the function $f$ can be determined by looking at the... |
# Difference Between Prime Numbers and Composite Numbers.
Prime Numbers and Composite Numbers are the two types of numbers, that differ based on the number of factors they have. In this lesson, the details about Prime Numbers and Composite Numbers are given in detail along with examples and charts. The chart of Prime ... |
Properties of Equality
Presentation on theme: "Properties of Equality"— Presentation transcript:
Properties of Equality
Topic 2.2.1
Properties of Equality
Topic 2.2.1 Properties of Equality California Standard: 4.0 Students simplify expressions before solving linear equations and inequalities in one variable, such a... |
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# What is the example of decreasing order?
## What is the example of decreasing order?
If the information is sorted from highest to lowest, it is said to be in descending order. For example 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 are arranged in descending order. In o... |
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Fundamental theorem of algebra wikipedia , lookup
Factorization of polynomials over finite fields wikipedia , lookup
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# Exact Value of tan 15°
How to find the exact value of tan 15° using the value of sin 30°?
Solution:
For all values of the angle A we know that, (sin $$\frac{A}{2}$$ + cos $$\frac{A}{2}$$)$$^{2}$$ = sin$$^{2}$$ $$\frac{A}{2}$$ + cos$$^{2}$$ $$\frac{A}{2}$$ + 2 sin $$\frac{A}{2}$$ cos $$\frac{A}{2}$$ = 1 + sin A
... |
# 5th Grade - Multiply And Divide Fractions
Grade Level: 5th Skill: Fractions, Percentages and Decimals Topic: Multiply and Divide Fractions Goal: Understand the concept of multiplication and division of fractions. Skill Description: Understand why when you multiply two fractions the answer is a smaller fraction than... |
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