text stringlengths 22 1.01M |
|---|
India’s No.1 Educational Platform For UPSC,PSC And All Competitive Exam
• 0
Boats & Streams
1.A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
Explanation:
Solution:
$\begin{array}{rl}& \text{Speed}\phantom{\rule{... |
## Section7.2Factoring by Grouping
###### ObjectivesPCC Course Content and Outcome Guide
This section covers a technique for factoring polynomials like $x^3+3x^2+2x+6\text{,}$ which factors as $\left(x^2+2\right)(x+3)\text{.}$ If there are four terms, the technique in this section might help you to factor the polynom... |
# The area of an isosceles triangle having
Question:
The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is
(a) $\sqrt{15} \mathrm{~cm}^{2}$
(b) $\sqrt{\frac{15}{2}} \mathrm{~cm}^{2}$
(c) $2 \sqrt{15} \mathrm{~cm}^{2}$
(d) $4 \sqrt{15} \mathrm{~cm}^{2}$
Solution:
(a... |
$\require{cancel}\newcommand\degree[0]{^{\circ}} \newcommand\Ccancel[2][black]{\renewcommand\CancelColor{\color{#1}}\cancel{#2}} \newcommand{\alert}[1]{\boldsymbol{\color{magenta}{#1}}} \newcommand{\blert}[1]{\boldsymbol{\color{blue}{#1}}} \newcommand{\bluetext}[1]{\color{blue}{#1}} \delimitershortfall-1sp \newcommand\... |
# A carpenter was hired to build 192 window frames.
Question:
A carpenter was hired to build 192 window frames. The first day he made 5 frames and each day, thereafter he made 2 more frames than he made the day before. How many days did he take to finish the job?
Solution:
Let the carpenter take n days to finish th... |
# Quick point about equations and graphs
Hi,
mliae asked me to make some simpler post so she understands this post. So here it comes, she said that it was long since she used equations:
Well equation is something like this:
x=1
That is quite clear. Of course you can have very complicated equation with many “unknown... |
Categories
# [Smart Math] Averages Problem 11
Here’s and example of a SMART MATH problem for AVERAGES.
### Problem
The average temperature for the first 9 days was 20 ${}^\circ$C and that of the first 5 was 25 ${}^\circ$C and that for the last 5 days was 15 ${}^\circ$C. What was the temperature on the fifth day?
1... |
Question
# Let W be the subspace of all diagonal matrices in M_{2,2}. Find a bais for W. Then give the dimension of W. If you need to enter a matrix as part of your answer , write each row as a vector.For example , write the matrix
Matrices
Let W be the subspace of all diagonal matrices in $$M_{2,2}$$. Find a bais fo... |
## Presentation on theme: "Revision Quadratic Equation"— Presentation transcript:
Solving Quadratic Equation by Complete the Square Method. By I Porter
Introduction Factoring to solve quadratic equations is generally quite fast and easy, but many quadratics cannot be solved by factorisation. For example, the quadrati... |
Learn How to Subtract Fractions
Fractions! Your favorite numbers to work with, right?
Yes, I know the answer to that is "WRONG!" Most everyone hates working with fractions and along with many other people, you are here to learn how to subtract fractions.
In this lesson we will focus on subtracting fractions with lik... |
# Graph Theory
A graph is a diagram which joins points, called vertices (singular vertex), with lines, called edges. Here are three examples: A B A B A E D Graph 1 C D Graph 2 C D Graph 3 C B
The degree of each vertex is defined to be the number of edges coming out of the vertex. Looking at the examples above: • In G... |
# Heights and Distances
#### Topics
• Problems involving Angle of Elevation
• Problems involving Angle of Depression
• Problems involving Angle of Elevation and Depression
## Notes
In everyday life we come across many buildings, monuments and other structures. The heights of these structures can be found out with t... |
30 August 2021
# Radiodrome prodrome (27/08/21 Riddler Classic)
Original puzzle
If the field length is twice the goal line length, the chaser must run $\dfrac{1+\sqrt{17}}{4}\approx 1.28078$ times as fast as the target.
The blue curve is the result of a chaser travelling at constant speed and always directly toward... |
# You know from calculus that functions play a fundamental role in mathematics.
Save this PDF as:
Size: px
Start display at page:
Download "You know from calculus that functions play a fundamental role in mathematics."
## Transcription
1 CHPTER 12 Functions You know from calculus that functions play a fundamental ... |
## How to Solve Quadratic Word Problems Part 1
In the previous posts, we have learned how to solve quadratic equations by getting the extracting the square root, by factoring, and by quadratic formula. We continue this series by learning how to solve math word problems using quadratic equations. Most of the time, we n... |
The calculation of derivatives is common place in the fields of Calculus and Physics. Derivatives are calculated to determine rates of change, velocities, accelerations, change in rates of growth and decay along with countless other applications in a wide range of fields. By its definition, a derivative represents a ... |
# Use cubic regression to fit a curve through the four points given in the table:x=-3 -1 1 3y=-9 21 7 -15y=?
Use cubic regression to fit a curve through the points (-3,-9),(-1,21),(1,7), and (3,-15).
(1) If you are allowed to use technology (a graphing calculator, Excel spreadsheet, or web sites such as Wolfram... |
One Step Equations Worksheets | Problems & Solutions
# One Step Equations Worksheets
One Step Equations Worksheets
• Page 1
1.
Solve: 4.5$x$ = 9
a. $\frac{1}{2}$ b. 2 c. $\frac{1}{5}$ d. 5
#### Solution:
4.5x = 9
[Original equation.]
4.5x4.5 = 94.5
[Divide each side by 4.5.]
x = 2
[Simplify.]
2.
Solve: 75 $v$... |
# GMAT / GRE Mathematics Tutorial Series: Ratio And Proportion
Contents
Ratio and Proportion Questions & Word Problems
The concepts always remain the same and do not differ based on the metric system used.
## Introduction to Ratios
According to the Oxford Dictionary, a ratio is defined as “Ratio is the quantitativ... |
# Chapter 8 - Section 8.3 - Solving Equations by Using Quadratic Methods - Exercise Set - Page 501: 32
The solutions are $-1-\sqrt{5}$ and $-1+\sqrt{5}$.
#### Work Step by Step
Factor the denominator of the expression on the right side of the equation to obtain: $$\dfrac{5}{x-3} + \dfrac{x}{x+3} = \dfrac{19}{(x-3)(x... |
May 20, 2024
Learn how to find relative frequency in data analysis with this beginner's guide. This article outlines the importance of mastering relative frequency, and provides tips and tricks for calculating, using excel and visualizing it with charts and graphs.
## Introduction
Have you ever analyzed data and want... |
# AP Statistics Curriculum 2007 Distrib RV
## General Advance-Placement (AP) Statistics Curriculum - Random Variables and Probability Distributions
### Random Variables
A random variable is a function or a mapping from a sample space into the real numbers (most of the time). In other words, a random variable assigns... |
# 反三角函數
## 主值
（注意：某些數學教科書的作者將arcsec的值域定為${\displaystyle [0,{\frac {\pi }{2}})\cup [\pi ,{\frac {3\pi }{2}})}$因為當tan的定義域落在此區間時，tan的值域≧0，如果arcsec的值域仍定為${\displaystyle [0,{\frac {\pi }{2}})\cup ({\frac {\pi }{2}},\pi ]}$，將會造成tan(arcsec(x)) = ± x2 − 1，如果希望tan(arcsec(x)) = x2 − 1，那就必須將arcsec的值域定為${\displaystyle [0,{\frac ... |
Home
#### Algebra and Pre-Algebra Lessons
Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test
#### Algebra E-Course and Homework Information
Algebra E-course Info | Log In to Algebra E-course | Homework Calculator
#### Formulas and Cheat Sheets
Formulas | Algebra Cheat Sheets
# Substiution Method
... |
of 25 /25
Matrix Determinants and Inverses Matrix Determinants and Inverses
• Author
anis-arnold
• Category
## Documents
• view
246
1
TAGS:
Embed Size (px)
### Transcript of Matrix Determinants and Inverses. How to Determine if Two Matrices are Inverses 1.Multiply the two...
• Matrix Determinants and Inverses
... |
# Difference between revisions of "Simon's Favorite Factoring Trick"
## Contents
Dr. Simon's Favorite Factoring Trick (abbreviated SFFT) is a special factorization first popularized by AoPS user Simon Rubinstein-Salzedo.
## The General Statement
The general statement of SFFT is: ${xy}+{xk}+{yj}+{jk}=(x+j)(y+k)$. Tw... |
# Teaching Multiplication Facts with Math Facts Baseball
Teaching multiplication facts is easier than you think! By third or fourth grade, kids are ready to focus on learning their times tables. Start the year with Math Facts Baseball! Students love going to bat, especially when they hit a home run.
### Ms. Sneed Exp... |
### Equivalent Ratios & Unit Rates
```Equivalent Ratios
&
Unit Rates
Vocabulary (
you should already have this written in your
notes – you do not have to copy again!)
•
•
•
•
A ratio is the comparison of two numbers written as a
fraction.(division)
A rate is a ratio that compares two quantities measured in
different u... |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 22 Oct 2019, 06:47
### 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... |
# Difference between revisions of "2002 AMC 12A Problems/Problem 16"
The following problem is from both the 2002 AMC 12A #16 and 2002 AMC 10A #24, so both problems redirect to this page.
## Problem
Tina randomly selects two distinct numbers from the set $\{ 1, 2, 3, 4, 5 \}$, and Sergio randomly selects a number fro... |
Instasolv
IIT-JEE NEET CBSE NCERT Q&A
4.5/5
# NCERT Exemplar Class 12 Maths Chapter 6 Solutions: Application of Derivatives
NCERT Exemplar Class 12 Maths Solutions Chapter 6 is a comprehensive list of questions on the topic of applications of derivatives. This chapter will teach you how to apply the concepts of the... |
# Period of Trig Function 3
Directions: Using the digits 0 to 9, at most one time, fill in the blanks to create sine and cosine functions with the given periods in degrees.
### Hint
What is the relationship between the parameter before x (usually called b) and the period? How do you calculate the period if you know ... |
Thread: <help> Differential Equations... MAPS (urgent)
1. <help> Differential Equations... MAPS (urgent)
There are some differential equations that require other techniques in order to solve them. One type, called homogenous, requires a substitution in order to solve.
The substitution used can be of the form y = v x ... |
# Ncert Solutions class 12 maths chapter 1 exercise 1.3
Q.1
$\begin{array}{l}\mathrm{Let}\mathrm{f}:\left\{1,3,4\right\}\to \left\{1,2,5\right\}\mathrm{and}\mathrm{g}:\left\{1,2,5\right\}\to \left\{1,3\right\}\mathrm{be}\mathrm{given}\\ \mathrm{by}\mathrm{f}=\left\{\left(1,2\right),\left(3,5\right),\left(4,1\right)\r... |
Unit Price
## What Is Unit Price?
Mrs. Moore is going to buy cereals for her family. 🛒
She saw a sign that says 3 boxes for \$6.60.
How much does each box cost? 🤔
The price for each box is called the unit price.
Unit price is the cost for one unit of an item.
A unit can be a piece, a box, a kilogram, a pound, ... |
# Linear function
Wikipedia view on Wikipedia
In mathematics, the term linear function refers to two distinct but related notions:[1]
## As a polynomial function
Graphs of two linear (polynomial) functions.
In calculus, analytic geometry and related areas, a linear function is a polynomial of degree one or less, i... |
Properties of Median in Statistics
-
The median of a given set of data values refers to the middlemost observation in the given data set. It is the value that divides our data into exactly two equal parts. In this article, we list some of the main properties of the median in statistics.
Properties of Median in Stati... |
# How do you express the phrase "Five more than the product of 7 and a" as an algebraic expression?
May 19, 2018
$7 a + 5$
#### Explanation:
The word product refers to multiplication, so the product of 7 and a is $7 a$
Five more would mean addition of 5 to the value.
$7 a + 5$
May 19, 2018
$7 \times a + 5$, als... |
# RIGHT TRIANGLES AND TRIGONOMETRY By Brianna Meikle.
• Published on
29-Dec-2015
• View
213
0
Transcript
Slide 1
Right Triangles and TrigonometryBy Brianna Meikle
The Pythagorean TheoremPythagorean Theorem: In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the ... |
# Graphing Quadratic Functions y = ax 2 + bx + c. Quadratic Functions The graph of a quadratic function is a parabola. A parabola can open up or down. If.
## Presentation on theme: "Graphing Quadratic Functions y = ax 2 + bx + c. Quadratic Functions The graph of a quadratic function is a parabola. A parabola can open ... |
Category : 3rd Class
Learning Objectives
• Understand the concept of addition using a 10 x 10 grid.
• Add using 2 digit numbers.
• Add using 3 digit numbers.
• Apply addition to real life situations.
Real Life Examples
• Addition helps in calculating the money spent for buying commodities from the market.
• Additio... |
# Help me find the magnitute & direction of her displacement: A very strong girl runs 200 miles east for several hours. After a brief rest she. . .travels 100 miles north. She stops for the night...
Help me find the magnitute & direction of her displacement: A very strong girl runs 200 miles east for several hours. Af... |
Solving for $t$ in $h = 48t + \frac{1}{2}at^2$
I'm using an intermediate algebra textbook and it had this problem:
"Solve the formula $$h = 48t + \frac{1}{2}a t^2$$ for $$t$$." The answer they displayed was: $$a = \frac{2h-96t}{t^2}$$
Can anyone tell me how this answers the question "solve for $$t$$", and what would... |
This lesson presents the idea that the area of any triangle is exactly half of a certain parallelogram -- thus we get the familiar formula of multiplying the base and the altitude, and taking half of that. The lesson contains varied exercises for students.
# Area of Triangles
We can always put any triangle together ... |
# What is the probability that the sum of two dice is at least 5?
Contents
So the probability that the sum is at least 5 is 2/3.
## When two dice are rolled determine the probability that the sum is at least 5?
To find the probability determine the number of successful outcomes divided by the number of possible out... |
# Alternatively since v uv u the vector u v when added
This preview shows page 1. Sign up to view the full content.
This is the end of the preview. Sign up to access the rest of the document.
Unformatted text preview: gure 8(a). Alternatively, since v uv u, the vector u v, when added to v, gives u. So we could const... |
# A car moving with constant acceleration covered the distance between two points 52.4 m apart in 5.96 s. Its speed as it passes the second point was 14.6 m/s. (a) At what prior distance from the first point was the car at rest?
Sep 9, 2015
The car was at rest $\text{2.29 m}$ before the first point.
#### Explanation... |
# Derivative of arccos (Inverse Cosine) With Proof and Graphs
The derivative of the inverse cosine function is equal to minus 1 over the square root of 1 minus x squared, -1/(√(1-x2)). This derivative can be proved using the Pythagorean theorem and algebra.
In this article, we will learn how to derive the inverse cos... |
Rd Sharma 2020 2021 Solutions for Class 7 Maths Chapter 23 Data Handling Ii Central Values are provided here with simple step-by-step explanations. These solutions for Data Handling Ii Central Values are extremely popular among Class 7 students for Maths Data Handling Ii Central Values Solutions come handy for quickly ... |
How to Compute the Probability of a Flush in Stud Poker
In this lesson, we explain how to compute the probability of being dealt an ordinary flush or a straight flush in stud poker. (For a brief description of stud poker, click here.)
What is a Flush?
In stud poker, there are two types of hands that can be classifie... |
# Difference between revisions of "1997 AIME Problems/Problem 12"
## Problem
The function $f$ defined by $f(x)= \frac{ax+b}{cx+d}$, where $a$,$b$,$c$ and $d$ are nonzero real numbers, has the properties $f(19)=19$, $f(97)=97$ and $f(f(x))=x$ for all values except $\frac{-d}{c}$. Find the unique number that is not in ... |
# Solve the following pairs of equations by reducing them to a pair of linear equations 5/(x-1) + 1/y-2 = 2, 6/(x-1) - 3/(y-2) = 1 - Mathematics
Solve the following pairs of equations by reducing them to a pair of linear equations
5/(x-1) + 1/y-2 = 2
6/(x-1) - 3/(y-2) = 1
#### Solution
5/(x-1) + 1/(y-2) = 2
6/(x-... |
# Understanding The Calculation And Properties Of 9 To The Power Of 3
//
Thomas
Discover the definition and of 9 to the power of 3, along with its properties and real-life . Learn how to simplify and express 9 to the power of 3 using different mathematical methods.
## What is 9 to the Power of 3?
### Understanding... |
# Ken makes a salad for 20 people. The salad dressing contains olive oil and 1/8 cup lemon juice per person. If there are 3 3/4 cups of dressing, how many cups of olive oil did Ken add per person?
Nov 28, 2016
$\frac{1}{16}$ of a cup of olive oil per person.
#### Explanation:
The $3 \frac{3}{4}$ cups are for 20 peo... |
Read how to Generate A Pattern of Shapes or Numbers | Grades 3, 4, & 5
1%
It was processed successfully!
# Read About Generating Number Patterns (Sequences That Follow a Given Rule)
WHAT DOES IT MEAN TO GENERATE A PATTERN OF NUMBERS?
A pattern is a set of shapes or numbers that change based on a rule. A pattern coul... |
# Square of Identities Involving Squares of Sines and Cosines
We will learn how to solve identities involving square of sines and cosines of multiples or submultiples of the angles involved.
We use the following ways to solve the identities involving square of sines and cosines.
(i) Express the first two squares of ... |
Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
# Find the Two Numbers Whose A.M. is 25 and Gm is 20. - Mathematics
Find the two numbers whose A.M. is 25 and GM is 20.
#### Solution
$\text { Let A . M . and G . M . between the two numbers a and b be A and G, respectively } .$
$A = 2... |
# RS Aggarwal Solutions for Class 12 Maths Chapter 10: Differentiation Exercise 10F
The method of differentiating the given set of questions using logarithms is the concept which is covered under the Exercise 10F. To understand this concept in an effective way, students can download the solutions and refer them to get... |
## Section6.3Orthogonal bases and projections
We know that a linear system $$A\xvec=\bvec$$ is inconsistent when $$\bvec$$ is not in $$\col(A)\text{,}$$ the column space of $$A\text{.}$$ Later in this chapter, we'll develop a strategy for dealing with inconsistent systems by finding $$\bhat\text{,}$$ the vector in $$\... |
# Modular multiplication of polynomials
Time Limit: 1 Second Memory Limit: 32768 KB
Consider polynomials whose coefficients are 0 and 1. Addition of two polynomials is achieved by 'adding' the coefficients for the corresponding powers in the polynomials. The addition of coefficients is performed by addition modulo... |
# Calculus 1 : How to find solutions to differential equations
## Example Questions
### Example Question #81 : Solutions To Differential Equations
Find the general solution to the differential equation:
Possible Answers:
Correct answer:
Explanation:
To solve the seperable differential equation, we must put the x... |
# Why percentages are so confusing and how to make them painless – Part 2
In Part 1 of GCSE Maths Percentage Questions we looked at changing fractions into percentages when the bottom number (denominator) goes into 100, i.e. is a factor of 100.
However, this won’t always happen and you need to know how to change othe... |
# 2.10 Practice Question Solutions
## Verbal Question Solutions
1. The domain of a function depends upon what values of the independent variable make the function undefined or imaginary.
3. There is no restriction on $\text{}x\text{}$ for $\text{}f\left(x\right)=\sqrt[3]{x}\text{}$ because you can take the cube root... |
## How do you solve a reflection in geometry?
To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite. Corresponding parts of the figures are the same distance from the line of reflection. Ordered pair rules reflect over the x-axis: (x, -y), y-axis: (... |
How to Add and Subtract Fractions? (+FREE Worksheet!)
The fraction is a part of a whole or, more generally, any number of equal components. In everyday conversation, fractions are used to describe how many components there are with certain values.
Each fraction consists of a numerator that is placed above the line an... |
Lesson Video: Making 6 and 7 | Nagwa Lesson Video: Making 6 and 7 | Nagwa
Lesson Video: Making 6 and 7 Mathematics • 1st Grade
In this video, we will learn how to use pictures and addition equations to show all the ways to make the numbers 6 and 7.
12:24
Video Transcript
Making Six and Seven
In this video, we’re ... |
# How do you factor completely 4x^2- 13x + 10?
Nov 20, 2015
$\left(x - 2\right) \left(4 x - 5\right)$
#### Explanation:
$4 {x}^{2} - 13 x + 10$
Multiply co-efficent of ${x}^{2}$ with the constant term $10$
It is $40$
The co-efficeint of $x = - 13$
You have to find two numbers the product of those two numbers mus... |
# What is 51/67 as a decimal?
## Solution and how to convert 51 / 67 into a decimal
51 / 67 = 0.761
The basis of converting 51/67 to a decimal begins understanding why the fraction should be handled as a decimal. Fractions and decimals represent parts of a whole, sometimes representing numbers less than 1. The diffe... |
• Save
# How to Calculate Square Root by Division Method
7 months ago 2.5K Views
Are you facing problem while solving square root equations in division method? Don't worry! here you will know easily in this blog how to calculate square root by division method. Here are given different square root equations with its ... |
# 2020 AMC 8 Problems/Problem 15
## Problem
Suppose $15\%$ of $x$ equals $20\%$ of $y.$ What percentage of $x$ is $y?$
$\textbf{(A) }5 \qquad \textbf{(B) }35 \qquad \textbf{(C) }75 \qquad \textbf{(D) }133 \frac13 \qquad \textbf{(E) }300$
## Solution 1
Since $20\% = \frac{1}{5}$, multiplying the given condition by ... |
UPSC > How to solve questions based on At least n in Set Theory
# How to solve questions based on At least n in Set Theory - CSAT Preparation - UPSC
Question 1: 70% of the people like Coffee, 80% of the people like Tea; then at least what % of people like both?
70 + 80 – 100 = 50 %
The reason behind this is prett... |
If you're seeing this message, it means we're having trouble loading external resources on our website.
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
Course: Digital SAT Math>Unit 7
Lesson 9: Data inferences: medium
Data inferences | Lesson
A gui... |
Area and Volume of Complex Objects In this lesson we will look at finding the area and volume of objects that are created either by putting together simple objects or by cutting out one simple object from another. It is assumed that you are already familiar with the geometry formulas associated with rectangles, circle... |
## Area Using Integration Solution1
In this page area using integration solution1 we are going to see solution of some practice questions.
(1) Find the area of the region bounded by the line x - y = 1 and
(i) x - axis, x = 2 and x = 4
Solution:
Here we need to find the area of the bounded by the line x - y = 1 and... |
Suggested languages for you:
|
|
## All-in-one learning app
• Flashcards
• NotesNotes
• ExplanationsExplanations
• Study Planner
• Textbook solutions
# Recursion and Special Sequences
An essential technique in mathematics is finding patterns in sequences of numbers and data. For example, in stock markets, people lo... |
# Determining Phase Shift in Tangent Functions: Math Insights
December 7, 2023 by JoyAnswer.org, Category : Mathematics
How to find the phase shift of a tangent function? Learn methods to calculate the phase shift in tangent functions. Gain insights into how this shift affects the graph and behavior of the function.
... |
# Positive integer solutions to $frac{1}{a} + frac{1}{b} = frac{c}{d}$
Mathematics Asked on January 5, 2022
I was looking at the equation $$frac{1}{a}+frac{1}{b} = frac{c}{d},,$$ where $$c$$ and $$d$$ are positive integers such that $$gcd(c,d) = 1$$.
I was trying to find positive integer solutions to this equation f... |
General and Middle Terms in Binomial Expansion
# General and Middle Terms in Binomial Expansion Video Lecture | Mathematics (Maths) Class 11 - Commerce
## Mathematics (Maths) Class 11
85 videos|243 docs|99 tests
## FAQs on General and Middle Terms in Binomial Expansion Video Lecture - Mathematics (Maths) Class 11 -... |
Zeroes of Polynomials
In the first section we described some basic properties of polynomials. In this section we describe some further properties and at the end we prove that every complex polynomial actually has a root.
As we pointed out, in some cases the zeros of a given polynomial can be exactly determined. The c... |
Listen to this Lesson:
You might be wondering how you can teach your students to master multiplying single-digit numbers. Suppose you were asked by your student what multiplication is; you can explain that it is one of the four basic mathematical operations wherein you repeatedly combine the same values until you reac... |
# Math Snap
## $\sum_{n=1}^{\infty}\left(\frac{2 h^{2}-3}{n^{2}+1}\right)^{n}$ diverges Select one: True False
#### STEP 1
Assumptions 1. We are given the infinite series $\sum_{n=1}^{\infty}\left(\frac{2 h^{2}-3}{n^{2}+1}\right)^{n}$. 2. We need to determine whether this series diverges or converges. 3. We will use... |
# Connect Four Addition and Subtraction Fact Practice
Subject
Resource Type
File Type
PDF
(1 MB|33 pages)
Product Rating
Standards
• Product Description
• StandardsNEW
This NO PREP set has FUN and engaging activities that meet Common Core Standards and TEKS Standards. Included are NO PREP activities and recording s... |
# Determining volumes II
Of course I’m in shape. Round is a shape.
# Recall
Antiderivatives are fundamental concepts in calculus. They are the inverse operation of derivatives.
Given a function f(x), an antiderivative, also known as indefinite integral, F, is the function that can be differentiated to obtain the or... |
Search IntMath
Close
450+ Math Lessons written by Math Professors and Teachers
5 Million+ Students Helped Each Year
1200+ Articles Written by Math Educators and Enthusiasts
Simplifying and Teaching Math for Over 23 Years
# What is a Nonagon?
A nonagon, also known as an enneagon, is a nine-sided polygon in Euclide... |
## How do you find the sum of the interior angles of a pentagon?
From vertex A we can draw two diagonals which separates the pentagon into three triangles. We multiply 3 times 180 degrees to find the sum of all the interior angles of a pentagon , which is 540 degrees.
## How do you find the sum of interior angles?
T... |
# Algebra and Trigonometry, MyMathLab, and Student Solutions Manual (9th Edition) View more editions Solutions for Chapter 2.R
• 9148 step-by-step solutions
• Solved by professors & experts
• iOS, Android, & web
Chapter: Problem:
Sample Solution
Chapter: Problem:
• Step 1 of 4
(a) The distance between two points, P1 ... |
Minimizing The Cost
I have this exercise that I would like anyone to suggest the required steps in order to solve it
A cylindrical can is to be made to hold $250 \pi\; cm^3$. Find the dimensions of the can that will minimize the cost of the metal to manufacture it.
-
Volume is
$$V=\pi r^2 h = 250\pi \implies h = \... |
# RD Sharma Class 10 Ex 9.2 Solutions Chapter 9 Arithmetic Progressions
In this chapter, we provide RD Sharma Class 10 Ex 9.2 Solutions Chapter 9 Arithmetic Progressions for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 10 Ex 9.2 Sol... |
Home » Math Theory » Statistics and Probability » Probability Tree
# Probability Tree
It’s not always clear whether to multiply or add probability. It’s easier to figure out when to add and when to multiply with the help of a probability tree. Furthermore, rather than a lot of formulas and data on a piece of paper, v... |
# RD SHARMA Solutions for Class 10 Maths Chapter 7 - Triangles
Page / Exercise
## Chapter 7 - Triangles Exercise Ex. 7.1
Question 1
Fill in the blanks using correct word given in the brackets:-
(i) All circles are __________. (congruent, similar)
(ii) All squares are __________. (similar, congruent)
(iii) All _____... |
Distributive Property Of Multiplication with Example
The Distributive Property of Multiplication states that the product of a number and the sum of two or more numbers is equal to the sum of the products of the number and each of the addends. In mathematical terms, for any numbers a, b, and c, a * (b + c) = a * b + a ... |
KS2 Maths Quiz
152 is the next number of the sequence 112, 122, 132, 142.
Number Sequences (Year 3)
In KS2 Maths children will learn more about number sequences. This begins in Year Three with children recognising simple patterns, for example sequences increasing by 2, 3, 10 or 100 each time. They should also be able... |
# A Mathematical conversions of quantities and units, scientific notation
## A.1 Quantities, Units, and Dimensions
International System of Units (SI units) are used so basic and derived quantities are standardized and defined in terms of grams, meters, and seconds. Common SI units include:
• Mass (M): kg
• Length (L... |
# Find a range of composite numbers of given length
• Difficulty Level : Medium
• Last Updated : 27 May, 2021
Given an integer n, we need to find a range of positive integers such that all the number in that range are composite and length of that range is n. You may print anyone range in the case of more than one ans... |
{[ promptMessage ]}
Bookmark it
{[ promptMessage ]}
lecnotes2
# lecnotes2 - Lecture Notes Concepts of Mathematics(21-127...
This preview shows pages 1–2. Sign up to view the full content.
Lecture Notes, Concepts of Mathematics (21-127) Lecture 1, Recitation A–D, Spring 2008 2 Integers and Diophantine Equations 2.... |
2.7 Linear inequalities and absolute value inequalities (Page 3/11)
Page 3 / 11
Solve the inequality and write the answer in interval notation: $\text{\hspace{0.17em}}-\frac{5}{6}x\le \frac{3}{4}+\frac{8}{3}x.$
$\left[-\frac{3}{14},\infty \right)$
Understanding compound inequalities
A compound inequality incl... |
Here are short articles answering one specific question.
Definition. In simple terms, a fraction is a part of something. This "something" can be anything - food, money, a number. The word "fraction" also speaks for itself - it means a division.
Let's look at an example from life. We bought a pizza to eat during the d... |
# Section 5.2 Question 3
## How do you solve problems involving using logarithms?
Logarithms are useful for solving exponential equations. An example of an exponential equation is the equation
To solve this equation for the variable x, isolate the term containing the exponential piece. This is done by subtracting 2 ... |
Arithmetic Sequences
The values of the truck in the example are said to form an arithmetic sequence because they change by a constant amount each year. Each term increases or decreases by the same constant value called the common difference of the sequence. For this sequence, the common difference is –3,400.
The sequ... |
Review question
# Can we find the point midway between an intersection and a line? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource
Ref: R9273
## Solution
$P$ is the point of intersection of the lines $y+x=1$ and $3y+2x=1$. Find the co... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.