text stringlengths 22 1.01M |
|---|
# Mathematics
### Chapter : Linear Equation In Two Variable
#### Solutions of Pair of Lines in Two Variable
There are three types of solutions of Pair of Lines in Two Variable, these are
• Unique solution
• Infinitely many solutions
• No solution.
(A) Situation of Consistent: If a system of simultaneous linear equ... |
# Pythagorean Theorem Walkthrough and Problems
Worksheet (Algebra)
## Pythagorean Theorem Walkthrough and Problems Worksheet
This is a great worksheet on the Pythagorean Theorem. It begins by discussing the parts of a right triangle then provides a walkthough on using the Pythagorean Theorem along with some self-pra... |
# Comparing fractions
Home > By Subject > Fractions > Comparing
It is important that your child can compare different fractions and determine which is larger, which is smaller, or if they are equal.
Discuss with your children how, with a fraction, when the bottom number (denominator) increases, the fraction gets sma... |
How do you write the next three terms of the geometric sequence -2, -12, -72, -432,... and graph the sequence?
Dec 1, 2016
The next three terms are:$\text{ "-2592," "-15552," } - 93312$
Explanation:
To determine the next three terms we have to study the given
$\text{ }$
terms in this sequence and how it is calculat... |
3 Tutor System
Starting just at 265/hour
# Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.
Let a be any positive integer and b = 3
a = 3q + r, where q $$\ne$$ 0 and 0 < r < 3
a = 3q or 3q + 1 or 3q + 2
Therefore, every number can be represented as thes... |
## College Algebra (11th Edition)
$x=-2$
$\bf{\text{Solution Outline:}}$ To solve the given equation, $x=\log_{4/5} \dfrac{25}{16} ,$ use the properties of logarithms. $\bf{\text{Solution Details:}}$ Using exponents, the equation above is equivalent to \begin{array}{l}\require{cancel} x=\log_{4/5} \dfrac{5^2}{4^2} .\e... |
7
# TRIGONOMETRY OF RIGHT TRIANGLES
Similar figures
All functions from one function
Complements
Cofunctions
PLANE TRIGONOMETRY is based on the fact of similar figures. We saw:
Right triangles will be similar if an acute angle of one
is equal to an acute angle of the other.
In the right triangles ABC, DEF, if th... |
# Exponential Growth - PowerPoint PPT Presentation
Exponential Growth
1 / 18
Exponential Growth
## Exponential Growth
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript
1. Exponential Growth
2. Exponential Growthy = a (1 ... |
## Intermediate Algebra (12th Edition)
$\left[ -5,13 \right]$
$\bf{\text{Solution Outline:}}$ To solve the given inequality, $|-4+x| \le 9 ,$ use the definition of absolute value inequalities. Use the properties of inequalities to isolate the variable. For the interval notation, use a parenthesis for the symbols $\lt$... |
# What Is the Probability a Cow Has BSE Given a Positive Test?
• Vendatte
In summary, Bayes Rule Probability Problem is a mathematical formula used to determine the probability of an event occurring based on prior knowledge of related conditions or factors. It is commonly used in fields such as statistics, machine lea... |
How do you find the slope of 2x+8y=9?
Dec 11, 2014
In the general form of a line $y = m x + b$, $m$ represents the slope of the line and $b$ the y-intercept. Here, we have the line $2 x + 8 y = 9$...we want it in the form $y = m x + b$ so we can get our $m$ (the slope) directly.
To do this, we simply solve $2 x + 8 ... |
# Algebra: Imaginary Numbers
1.
$$\sqrt{-13}$$
Solution
2.
$$(2+3i)+(1-6i)-(8+7i)$$
Solution
3.
$$(8+2i)+(4+7i)$$
Solution
4.
$$2i+3i$$
Solution
5.
$$3i\times 4i$$
Solution
6.
$$-i\times 2i\times 3i$$
Solution
7.
$${i}^{99}$$
Solution
8.
$${i}^{17}$$
Solution
9.
$${i}^{120}$$
Solution
10.
$${i}^{64002}$$
Solution
11.
... |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 17 Aug 2019, 14:19
### 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... |
# Do Now
Télécharger la présentation
## Do Now
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript
1. Do Now • Think about 3 interesting facts about yourself! • What is your favorite food? • Are you involved in any school ac... |
# 2013 AIME II Problems/Problem 6
## Problem 6
Find the least positive integer $N$ such that the set of $1000$ consecutive integers beginning with $1000\cdot N$ contains no square of an integer.
## Solutions
### Solution 1
The difference between consecutive integral squares must be greater than 1000. $(x+1)^2-x^2\... |
# Linear Regression — The Basics
## What is Linear Regression?
### The basics
Yeah. It’s not a good sign if I’m starting out already repeating myself. But that’s how things seem to be with linear regression, so I guess it’s fitting. It seems like every day one of my professors will talk about linear regression, and ... |
# 1.2. Equally Likely Outcomes#
“If a coin is tossed, what is the chance that it lands heads?” Ask this question and the most common answer that you will get is $$1/2$$. If you press for a reason, don’t be surprised to hear, “Because the coin has two faces.” A coin does indeed have two faces, but notice an assumption ... |
Curriculum Goal
Primary: Number Sense
• Read and represent whole numbers up to and including 50.
• Describe various ways whole numbers may be used/referenced in everyday life.
• Compose and decompose whole numbers, up to and including 50, using a variety of tools and strategies, in various contexts.
Context
• Teach... |
# Math rigor in evaluating limits.
There is a well known theorem that says $f: \mathbb{R} \to \mathbb{R}$ is continuous at $x_0$ if and only if $$\lim_{x\to x_0} f(x) = f(x_0)$$
We often use the above mentioned theorem to evaluate limits like this one:
$$\lim_{x \to 1} \ f(x) \ \text{where} \ f(x) = \frac{x^3-3x^2+2... |
GMAT Math : Modulo arithmetic
Modulo arithmetic is a very powerful tool for divisibility and remainder type questions.
First, an example:
What is the remainder when t² + 2t + 3 is divided by 8?
1. t when divided by 8 yields a remainder of 1
2. t – 3 when divided by 8 yields a remainder of 1
Fundamentally, the bas... |
District Of Columbia - 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 cr... |
GeoGebra Essentials 8 – Graphs and their Properties
This is the eighth tutorial in the GeoGebra Essentials Series. If you are not familiar with GeoGebra, you may want to read the Introduction to GeoGebra post and earlier tutorials.
In the tutorial below, menu commands, located in the menu bar, are in brown bold text,... |
# 2015 AIME I Problems/Problem 3
## Problem
There is a prime number $p$ such that $16p+1$ is the cube of a positive integer. Find $p$.
## Solution 1
Let the positive integer mentioned be $a$, so that $a^3 = 16p+1$. Note that $a$ must be odd, because $16p+1$ is odd.
Rearrange this expression and factor the left sid... |
# Variables and Verbal Expressions
- -
Some real-life situations involving numbers can directly be solved using the four fundamental operations: addition, subtraction, multiplication and division. For instance, if 1 apple cost 5 pesos, how much do 15 apples cost? To solve this problem simply multiply 15 by 5. However... |
Video: Finding the General Antiderivative of a Given Function
Determine the most general antiderivative πΉ(π₯) of the function π(π₯) = 4π₯(βπ₯ + 5).
06:08
Video Transcript
Determine the most general antiderivative capital πΉ of π₯ of the function lowercase π of π₯ is equal to four π₯ multi... |
# Distance Between Two Points, Day 1
7 teachers like this lesson
Print Lesson
## Objective
SWBAT find the distance between two points.
#### Big Idea
Students use absolute value to find the distance between two points.
## Do Now
10 minutes
Students have worked on plotting points on the coordinate plane. The Do ... |
##### Algebra I All-in-One For Dummies
The sheer number of people who use algebra means that a large number of errors are unavoidable. So much algebra is done in the world: Just about everyone who advances beyond elementary school takes an algebra class. Forgetting some of the more obscure rules or confusing one rule ... |
## Tag Archives: triangle inequality proof
### Set Theory, Relations and Functions: Preliminaries: IV:
Problem Set based on previous three parts:
I) Solve the inequalities in the following exercises expressing the solution sets as intervals or unions of intervals. Also, graph each solution set on the real line:
a) ... |
## Small Group Activity: Directional Derivatives
Vector Calculus I 2022
This small group activity using surfaces relates the geometric definition of directional derivatives to the components of the gradient vector. Students work in small groups to measure a directional derivative directly, then compare its components ... |
# How do you convert 0.18 (18 repeating) to a fraction?
Then teach the underlying concepts
Don't copy without citing sources
preview
?
#### Explanation
Explain in detail...
#### Explanation:
I want someone to double check my answer
37
Nov 14, 2017
$0.18181818 \ldots = \frac{2}{11}$
#### Explanation:
Let's begi... |
Notes, Lesson 3.6
Implicit Differentiation
Most of our math work thus far has always allowed us to solve an equation for y in terms of x. When an equation can be solved for y we call it an explicit function. But not all equations can be solved for y. An example is:
This equation cannot be solved for y. When an equati... |
# GSEB Solutions Class 7 Maths Chapter 10 Practical Geometry InText Questions
Gujarat BoardĀ GSEB Textbook Solutions Class 7 Maths Chapter 10 Practical Geometry InText Questions and Answers.
## Gujarat Board Textbook Solutions Class 7 Maths Chapter 10 Practical Geometry InText Questions
Think, Discuss and Write (Pag... |
# Video: KS1-M17 • Paper 2 • Question 12
KS1-M17-P2-Q12-659147312612-v2
03:15
### Video Transcript
Measure the longest line. Use a ruler.
We know that triangles are made up of three straight lines or three sides. We’re given a triangle here. And we’re asked to measure the longest of those three sides, the longest ... |
Study P2 Mathematics Model Drawing 4 - Geniebook
# Model Drawing 4
1. Word Problems involving 4 operations
## Topic Recap:
### Word Problems Involving Multiplication
Example:
There are 5 boxes. There are 8 cupcakes in each box. How many cupcakes are there in all?
Solution:
There are 8 cupcakes in each box.
The... |
# Math 112 Section 3.1 Exponential Functions... ( )
```Page 1 of 2
Math 112
Section 3.1 Exponential Functions and Graphs
Exponential Function
An exponential function with base a is defined as
f ( x) a x , where a > 0 and a 0.
x
Example 1:
f ( x) 2
1
x
Example 2: g ( x) 2
2
x
x
f x = 2x
8
... |
# TYPING - EDITORIAL
Tester: Misha Chorniy
Editorialist: Taranpreet Singh
### DIFFICULTY:
Okay, Decided. Cakewalk.
### PREREQUISITES:
Mapping, Basic Implementation.
### PROBLEM:
Given N works, we have to find minimum units of time to type all words, given following conditions. (I am taking tenth of a second as u... |
# 1961 AHSME Problems/Problem 21
## Problem
Medians $AD$ and $CE$ of $\triangle ABC$ intersect in $M$. The midpoint of $AE$ is $N$. Let the area of $\triangle MNE$ be $k$ times the area of $\triangle ABC$. Then $k$ equals:
$\textbf{(A)}\ \frac{1}{6}\qquad \textbf{(B)}\ \frac{1}{8}\qquad \textbf{(C)}\ \frac{1}{9}\qqu... |
#### Jessica Wesaquate
Subject Area:
Mathematics
Strand:
Shape and Space (3-D Objects and 2-D Shapes)
Grade Level:
Three
WNCP:
Main Objective: Students will describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them. General Outcome: Describe, classify, construct and r... |
# LCM of 25 and 49
The lcm of 25 and 49 is the smallest positive integer that divides the numbers 25 and 49 without a remainder. Spelled out, it is the least common multiple of 25 and 49. Here you can find the lcm of 25 and 49, along with a total of three methods for computing it. In addition, we have a calculator you... |
AMCAT Quantitative Ability Previous Papers-12
A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
35 ½
36 ½
37 ½
38 ½
Explanation:
Work done by A in 20 days = 80/100 = 8/10 = 4/5
Work done by A ... |
# Problem of the Week
## Updated at Jun 22, 2020 12:04 PM
To get more practice in algebra, we brought you this problem of the week:
How would you find the factors of $$12{u}^{2}-26u+4$$?
Check out the solution below!
$12{u}^{2}-26u+4$
1 Find the Greatest Common Factor (GCF).1 What is the largest number that divi... |
# Surds
A surd is a square root which cannot be reduced to a .
For example, $$\sqrt 4 = 2$$ is not a surd.
However $$\sqrt 5$$ is a surd.
If you use a calculator, you will see that $$\sqrt 5 = 2.236067977...$$ and we will need to round the answer correct to a few decimal places. This makes it less accurate.
If it ... |
Warm-up
Evaluate each ex pression if a = 6, b = -2, and c = 12.
Today we will:
1. Solve problems about situations modeled by parabolas . Last section in the
book!
Following class period we will:
1. Review key concepts
o Quadratic equation – an equation that can written in the form an equation
0 = ax2 + bx + c, where... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
You are reading an older version of this FlexBook® textbook: CK-12 Algebra I Go to the latest version.
# 6.6: Absolute Value Inequalities
Difficulty Level: At Grade Created by: CK-12
##... |
# Pedal Triangle and Isogonal ConjugacyWhat is this about? A Mathematical Droodle
6 January 2016, Created with GeoGebra
Explanation
### Pedal Triangle and Isogonal Conjugacy
The applet intends to suggest the following results:
Let P be a point in the plane of ΔABC.
Then:
1. The pedal triangle A'B'C' of P is orth... |
Question Video: Computing Logarithms by Using Laws of Logarithms | Nagwa Question Video: Computing Logarithms by Using Laws of Logarithms | Nagwa
# Question Video: Computing Logarithms by Using Laws of Logarithms Mathematics • Second Year of Secondary School
## Join Nagwa Classes
Attend live General Mathematics sess... |
# To Express: The quadratic function in standard form.
### Precalculus: Mathematics for Calcu...
6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
### Precalculus: Mathematics for Calcu...
6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
#### Solutions
Ch... |
Published:
Two of the most important relationships in mathematics, namely equality and definition, are both denoted using the same symbol – namely, the equals sign. The overloading of this symbol confuses students in mathematics and computer programming. In this post, I argue for the use of two different symbols for t... |
Edit Article
# wikiHow to Solve Fraction Questions in Math
Fraction questions can look tricky at first, but they become easier with practice and know-how. Once you understand the fundamentals of what fractions are, you'll be breezing through fraction problems like a knife through butter. You will have to start with S... |
Courses
Courses for Kids
Free study material
Offline Centres
More
Store
Find the solution of ${2^x} = 7$.
Last updated date: 18th Jun 2024
Total views: 374.4k
Views today: 7.74k
Verified
374.4k+ views
Hint:Whenever the right and left side of the equation do not have the same base then in that case we should take “log... |
## Radical Equation Word Problems - Examples & Practice - Expii
Radical equation word problems - examples & practice, explanations (3).
The key to solving any word problem (whether it contains a radical or not) is to translate the problem from words into math .
That's the biggest step in word problems. Once you've t... |
# The Method of Undetermined Coefficients
Author: John J Weber III, PhD Corresponding Textbook Sections:
• Section 4.4 – Nonhomogeneous Equations: The Method of Undetermined Coefficients
• Section 4.5 – The Superposition Principle and Undetermined Coefficients Revisited
## Expected Educational Results
• Objective 1... |
# Symbolic system of equation solver
In this blog post, we will show you how to work with Symbolic system of equation solver. Let's try the best math solver.
## The Best Symbolic system of equation solver
Math can be a challenging subject for many students. But there is help available in the form of Symbolic system ... |
## Part 1
In this video, we are going to graph rational functions.
For example: $y=\dfrac{1}{x}$
Let’s first make a table listing the x and y values
x y $-3$$-3$ $\dfrac{1}{-3}$$\dfrac{1}{-3}$ $-2$$-2$ $\dfrac{1}{-2}$$\dfrac{1}{-2}$ $-1$$-1$ $\dfrac{1}{-1}=-1$$\dfrac{1}{-1}=-1$ $0$$0$ $\dfrac{1}{0}=UNDEFINED$$\dfr... |
# NCERT Solutions For Class 8 Maths Chapter 11 Mensuration Ex 11.2
Advertisements
Here, Below you all know about NCERT Solutions for Class 8 Maths Chapter 11 Mensuration Ex 11.2 Question Answer. I know many of you confuse about finding this Chapter 11 Mensuration Ex 11.2 Of Class 8 NCERT Solutions. So, Read the full ... |
# Arithmetic Series & Adding Numbers
in STEMGeeks2 months ago
Hi there. In this mathematics post, I would like to cover arithmetic series when it comes to adding numbers and arithmetic sequences.
Quicklatex.com is used for LaTeX math rendering.
Pixabay Image Source
## Topics
• Arithmetic Sequences Basics
• Sum/Si... |
( )
# Greatest Common Factors
In Math . . .
a is a common factor of b and c if a is a factor of both b and c. a is the greatest common factor of the two numbers if there are no common factors greater than a.
We'll write "the greatest common factor of a and b" as gcf(a, b).
In English . . .
Both phrases mean exact... |
Vectors and conics
This free course is available to start right now. Review the full course description and key learning outcomes and create an account and enrol if you want a free statement of participation.
Free course
# 3 Dot product
## 3.1 Definition, properties and some applications
In the previous section we... |
## Calculus with Applications (10th Edition)
$(3x + 5)(x - 2)$
Factor $3x^{2}-x-10$ First set up the x's in the binomial. $(cx +or- n)(cx +or- n)$ To have $3x^{2}$ in the original equation the two $x$'s in the binomial multiply together. Thus the $x$'s have coefficients. 3 is a prime number so its only factors are 3 a... |
How many fours are needed to represent numbers up to $N$?
The goal of the four fours puzzle is to represent each natural number using four copies of the digit $4$ and common mathematical symbols.
For example, $165=\left(\sqrt{4} + \sqrt{\sqrt{{\sqrt{4^{4!}}}}}\right) \div .4$.
If we remove the restriction on the num... |
# Derivative of 1/x: Formula, Proof by First Principle
The derivative of 1/x is equal to -1/x2. The function 1/x (1 divided by x) is the reciprocal of x. In this article, we will find the derivative of 1/x using the power rule, product rule, and the definition of derivatives.
## What is the Derivative of 1/x?
Explan... |
# Conversion of Fractions to Decimals Numbers – Definition, Methods, Examples | How to Convert Fractions to Decimals?
Students, who are looking for learning the ways on how to convert from fractions to decimals can find them all here? Conversion of Fractions to Decimal Numbers means you wish to present the fractional ... |
How Are Multiplication And Division Related? – tntips.com
# How Are Multiplication And Division Related?
## How Are Multiplication And Division Related?
Multiplication and division are closely related, given that division is the inverse operation of multiplication. … This is because when we multiply two numbers (w... |
How do you write two and a half?
How do you write two and a half?
it will be five over two . so 2 and a half can be written as 5 over 2 .
How do you write 2 and a half in a fraction?
You would say "two and one half." The other format is an improper fraction where the numerator is greater than the denominator (5/2).... |
# 5.7: Simple Interest
Difficulty Level: At Grade Created by: CK-12
## Introduction
Student Council Investment
With a goal of boosting student attendance at football games, the student council has decided to invest a portion of their savings for middle school decorations. They figure that when the games are happeni... |
# Exponents, Exponential Notation, and Scientific Notation
Related Topics:
More Lessons for Algebra I
Math Worksheets
A series of free Basic Algebra Lessons.
In this lesson, we will learn
• an introduction to exponents and rules of exponents
• multiplication and division properties of exponents
• zero and negative ... |
# 2011 AIME II Problems/Problem 8
## Problem
Let $z_1,z_2,z_3,\dots,z_{12}$ be the 12 zeroes of the polynomial $z^{12}-2^{36}$. For each $j$, let $w_j$ be one of $z_j$ or $i z_j$. Then the maximum possible value of the real part of $\displaystyle\sum_{j=1}^{12} w_j$ can be written as $m+\sqrt{n}$ where $m$ and $n$ ar... |
###### Norm Prokup
Cornell University
PhD. in Mathematics
Norm was 4th at the 2004 USA Weightlifting Nationals! He still trains and competes occasionally, despite his busy schedule.
##### Thank you for watching the video.
To unlock all 5,300 videos, start your free trial.
# Average Value of a Function - Problem 1
... |
# If Kioko can run 6 miles in 36 minutes, how far can he run in 84 minutes at this same rate?
Apr 4, 2018
Kioko can run 14 miles in 84 minutes.
Here's how I did it:
#### Explanation:
To solve this, we set up a proportion:
$\frac{6}{36} = \frac{x}{84}$
Let $x$ be the distance Kioko can run in $84$ minutes.
Now, we... |
Graph of pair of Linear Equations
Chapter 3 Class 10 Pair of Linear Equations in Two Variables
Serial order wise
### Transcript
Question 3 The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation alge... |
# Solve the system
These can be very helpful when you're stuck on a problem and don't know how to Solve the system. We will give you answers to homework.
## Solving the system
In addition, there are also many books that can help you how to Solve the system. How to solve perfect square trinomial. First, identify a, b... |
# Difference between revisions of "2008 AMC 12A Problems/Problem 17"
## Problem
Let $a_1,a_2,\ldots$ be a sequence determined by the rule $a_n=a_{n-1}/2$ if $a_{n-1}$ is even and $a_n=3a_{n-1}+1$ if $a_{n-1}$ is odd. For how many positive integers $a_1 \le 2008$ is it true that $a_1$ is less than each of $a_2$, $a_3$... |
How do you solve 3x-y=1 and x+y=3?
Aug 3, 2015
I found:
$x = 1$
$y = 2$
Explanation:
I would isolate $x$ from the second equation and substitute it into the first:
$x = 3 - y$
into the first:
$3 \left(\textcolor{red}{3 - y}\right) - y = 1$
$9 - 3 y - y = 1$
$- 4 y = - 8$
$y = 2$
substitute this back into the second... |
# Data Interpretation - Line Charts
Exercise : Line Charts - Line Chart 9
Directions to Solve
Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.
Initial Strength of school in 1995 = 3000.
1.
The number of studen... |
# Triangle Law of Vector Addition of Two Vectors
## Triangle Law of Vector Addition of Two Vectors
The physical quantities may be broadly classified into the vectors and the scalars. The quantities with magnitude and direction both are known as vector quantities, it means a vector is a physical quantity that has both... |
Maths How To with Anita
# The Factors of 90 and How to Find them
Do you struggle with finding the factors of 90 or any number?
You’re not alone. Factor pairs, factor rainbows, factor trees, prime factorization & calculators can all be helpful tools when it comes to finding the factors of a number. But which method i... |
Miscellaneous
Chapter 10 Class 11 Straight Lines
Serial order wise
This video is only available for Teachoo black users
Get live Maths 1-on-1 Classs - Class 6 to 12
### Transcript
Misc 14 In what ratio, the line joining (–1, 1) and (5, 7) is divided by the line x + y = 4? Let line AB is the line joining the points... |
Courses
Courses for Kids
Free study material
Offline Centres
More
Store
# NCERT Solutions for Class 11 Maths Chapter 14: Mathematical Reasoning - Exercise 14.2
Last updated date: 09th Aug 2024
Total views: 606k
Views today: 6.06k
## NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning
Free PDF downl... |
## How To Solve Probability
” How do I know when to multiply, when to add and subtract when asked to solve a probability question?” This was the same thought that use to go through my mind while taking probability classes because I was always utterly confused with numerous and similar rules of probability.
So if anyo... |
# Video: Finding Spearman’s Correlation Coefficient for Bivariate Data
Find Spearman’s correlation coefficient between 𝑥 and 𝑦. Round your answer to three decimal places.
05:18
### Video Transcript
Find Spearman’s correlation coefficient between 𝑥 and 𝑦. Round your answer to three decimal places.
Looking at th... |
Become a math whiz with AI Tutoring, Practice Questions & more.
HotmathMath Homework. Do It Faster, Learn It Better.
The opposite of a number is also called its additive inverse. The additive inverse is the number you have to add to it so that the sum is zero. So the additive inverse of 5 is -5. This is sometimes cal... |
# Congruence (number theory)
In number theory, congruence is a relationship between whole numbers . They call two integers and congruent modulo (= another number), when used in the division by both the same rest have. This is precisely the case when they differ by an integral multiple of . However, if the remainders d... |
# On a Circular Table Cover of Radius 42 Cm, a Design is Formed by a Girl Leaving an Equilateral Triangle Abc in the Middle, as Shown in the Figure. Find the Covered Area of the Design.V - Mathematics
Sum
On a circular table cover of radius 42 cm, a design is formed by a girl leaving an equilateral triangle ABC in th... |
# What is the simplest form of 25 by 75?
## What is the simplest form of 25 by 75?
Reduce 25/75 to lowest terms
1. Find the GCD (or HCF) of numerator and denominator. GCD of 25 and 75 is 25.
2. 25 ÷ 2575 ÷ 25.
3. Reduced fraction: 13. Therefore, 25/75 simplified to lowest terms is 1/3.
## How do you turn 75 into a ... |
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4
5. 5
5
6. 6
6
7. 7
7
8. 8
8
9. 9
9
10. 10
10
11. 11
11
12. 12
12
13. 13
13
# Investigate the number of winning lines in the game of connect 4.
Extracts from this... |
# Superposition Problem with Four Voltage and Current Sources
Determine $V_x$ and $I_x$ using the superposition method.
Solution
I. Contribution of the $-5V$ voltage source:
To find the contribution of the $-5V$ voltage source, other three sources should be turned off. The $3V$ voltage source should be replaced by s... |
# Which Equation Is Y = –6×2 + 3x + 2 Rewritten In Vertex Form?
• Puzzle
Rewriting an equation in another form, or rewriting an equation, can be useful for solving for a variable. Vertex form is one way to rewrite equations that can be useful in solving for a variable.
An equation in vertex form has the variable lis... |
# Equal Fractions Concept
The equal fractions concept is perhaps one of the most important concepts students must know for primary school Math. I have seen so many questions, again and again, which test this concept and students always get stuck.
Many students are confused about when to make the denominators the same... |
" ">
# In the given figure, $AD$ is a median of a triangle $ABC$ and $AM \perp BC$. Prove that$\mathrm{AC}^{2}+\mathrm{AB}^{2}=2 \mathrm{AD}^{2}+\frac{1}{2} \mathrm{BC}^{2}$"
Given:
$AD$ is a median of a triangle $ABC$ and $AM \perp BC$.
To do:
We have to prove that $\mathrm{AC}^{2}+\mathrm{AB}^{2}=2 \mathrm{AD}^{... |
3.2.2 Algebraic Expressions II, PT3 Focus Practice
Question 6:
Solution:
$\begin{array}{l}-4\left(5x-3\right)+7x-1\\ =-20x+12+7x-1\\ =-13x+11\end{array}$
Question 7:
$\left(3x-2y\right)-\left(x+4y\right)$
Solution:
$\begin{array}{l}\left(3x-2y\right)-\left(x+4y\right)\\ =3x-2y-x-4y\\ =2x-6y\end{array}$
Question 8:... |
During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.
# Difference between revisions of "1988 IMO Problems/Problem 4"
## Problem
Show that the solution set of the inequality
$\sum_{k=1}^{70}\frac{k}{x-k}\ge\frac{5}{4}$
is a union of disjoint intervals, the sum of whose length is $1988$.
##... |
Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 549: 13
$34 - 15\sqrt{5}$
Work Step by Step
RECALL: (1) Distributive Property: For any real numbers a, b, and c, $a(b+c)=ab+ac$ (2) For any real numbers real numbers a and b within the domain, $\sqrt{a}... |
Games
Problems
Go Pro!
Bases Larger than Ten
Reference > Mathematics > Number Theory > Bases
In base eight, and base five, and all the other bases we used in the previous sections, we used a subset of the digit symbols we use in base ten. Another way of saying that is, we use some of the symbols from base ten, and n... |
Breaking News
# Everything You Need to Know about Rational Numbers between 2 and 7
## What are Rational Numbers?
Rational numbers are numbers that can be expressed as a ratio of two integers. They are also known as fractional numbers because they can be expressed as fractions. The term “rational” comes from the Lati... |
#### You may also like
List any 3 numbers. It is always possible to find a subset of adjacent numbers that add up to a multiple of 3. Can you explain why and prove it?
### Magic Sums and Products
How to build your own magic squares.
### No Matter
Weekly Problem 2 - 2013
After performing some operations, what numbe... |
Precalculus by Richard Wright
Are you not my student and
has this helped you?
This book is available
…though he may stumble, he will not fall, for the Lord upholds him with his hand. Psalms 37:24 NIV
# 4-09 Compositions Involving Inverse Trigonometric Functions
Summary: In this section, you will:
• Evaluate... |
# Evaluate Limits Graphically and Vertical Asymptotes
## Discontinuities' and asymptotes' effect on limits.
Estimated8 minsto complete
%
Progress
Practice Evaluate Limits Graphically and Vertical Asymptotes
MEMORY METER
This indicates how strong in your memory this concept is
Progress
Estimated8 minsto complete
%
Gr... |
# LCM of 50 and 15
The lcm of 50 and 15 is the smallest positive integer that divides the numbers 50 and 15 without a remainder. Spelled out, it is the least common multiple of 50 and 15. Here you can find the lcm of 50 and 15, along with a total of three methods for computing it. In addition, we have a calculator you... |
# 14.4: Methods of Determining Reaction Order
• Contributed by Anonymous
• LibreTexts
Learning Objectives
• To know how to determine the reaction order from experimental data.
In the examples in this text, the exponents in the rate law are almost always the positive integers: 1 and 2 or even 0. Thus the reactions a... |
Tori has 1/2 pound of sugar in her cabinet. Her cake recipe calls for 2/10 of a pound of sugar. How many cakes can she make?
Mar 8, 2018
Exactly $2.5$ cakes (or $2$ whole cakes if you need to round)
Explanation:
So Tori has $\frac{1}{2}$ pound of sugar and one cake calls for $\frac{2}{10}$ of sugar. All we have to ... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.