text stringlengths 22 1.01M |
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# Question #a22d8
##### 1 Answer
Jan 30, 2017
$C : y - 4 = \frac{1}{6} \left(x + 5\right)$
#### Explanation:
The equation of a line in $\textcolor{b l u e}{\text{point-slope form}}$ is.
$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y - {y}_{1} = m \left(x - {x}_{1... |
Solving 3rd Order ODE by Reduction of Order
I am trying to solve the following ODE: $$x^3y''' -3x^2y'' +(6-x^2)xy' -(6-x^2)y=0$$ if $$y_1=x$$. The professor said that the solution could be found by reduction of order. If it's second order the solution this problem is quite easy, but I don't really know how to solve it... |
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# Which number is equal to $(\dfrac{{0.1}}{{0.01}} + \dfrac{{0.01}}{{0.1}})$?$A)10.1$$B)1.10$$C)1.01$$D)10.01$
Last updated date: 24th Jul 2024
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Hint: First we have to define what the t... |
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Apr 18
## From minimum to infimum: Math is just a logical game
The true Math is a continuous exercise in logic. A good teacher makes that logic visible and tangible. A genius teacher does the logic mentally and only displays the result. I am trying to be as good a teacher as humanly possible.
## Steps to develop ... |
# 8.3 Linear Relationships
### Lesson 1
• I can graph a proportional relationship from a story.
• I can use the constant of proportionality to compare the pace of different animals.
### Lesson 2
• I can graph a proportional relationship from an equation.
• I can tell when two graphs are of the same proportional rel... |
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Mathematik Übungen
# Compare fractions (with like numerators or denominators)
3/4>3/7
## Comparing fractions
A fraction is a part of a whole. To find the greater fraction you need to find the fraction that contains a greater part of the whole.
If fractions have the same denominator, you can compare numerators:
\$... |
Home » Maths » Difference Between Log and Ln
# Difference Between Log and Ln
logarithms function are important in the study of Maths , Physics and chemistry We usually express logarithms as log or ln. Both are widely used in problem and an understanding of the difference between them is important for good score al... |
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Math Central Quandaries & Queries
Question from Kristy, a student: Can you help me with this equation? Find the equation, in standard form of the line perpendicular to 2x-3y=-5 and passing through (3,-2) Write the equation in standard form with all integer coefficient.
Hi Kristy. I can show you how it's ... |
# Cross multiplication Method
In this section we will discuss cross multiplication method. It is also known as Cramer's rule.
Let the two equations be ,
$a_{1}x + b_{1}y + c_{1}$ = 0
$a_{2}x + b_{2}y + c_{2}$ = 0
be a system of linear equations in two variables x and y such that
$\frac{a_{1}}{a_{2}}\neq \frac{b_{1}}{... |
# 1.04 Changing the subject of a formula
Lesson
In certain situations we may need to rearrange an equation or formula to make a different variable the subject. As an example, consider the formula for finding the circumference $C$C of any circle with radius $r$r:
$C=2\pi r$C=2πr
In this formula, $C$C is currently th... |
# Parts of Circle
The parts of Circle are Diameter,Radius,Arc and Sector.
Or radius = r = d / 2.
Circumference ( C ) : The length of a boundary of a circle.
C = 2 Πr
Or C = Π D
________________________________________________________________
Examples
1) Radius = 4 cm, find the diameter.
Solution :
⇒ Diameter =... |
# Steps in solving algebra problems
Algebra Balance Scales This virtual manipulative allows you to solve simple linear equations through the use of a balance beam. That means that 35 hot dogs were sold. Rational Inequalities — We continue solving inequalities in this section.
If you are subtracting a number, you want... |
Open In App
# Linearity of Expectation
Prerequisite: Random Variable This post is about mathematical concepts like expectation, linearity of expectation. It covers one of the required topics to understand Randomized Algorithms
Let us consider the following simple problem.
Problem: Given a fair dice with 6 faces, th... |
# Find the Sample Standard Deviation
Along with finding the complete standard deviation of a set of data, we can also find the sample standard deviation if we wished.
The sample standard deviation is a measurement that is very useful for times when you would like to get a good idea of the standard deviation of a pe... |
# NCERT Solutions for Class 10 Maths Chapter 6 - Triangles
Exercise 6.1
1. Fill in the blanks using the correct word given in brackets.
(i) All circles are ........... . (congruent, similar)
(ii) All squares are ......... . (similar, congruent)
(iii) All ........ triangles are similar. (isosceles, equilateral)
(i... |
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# JobTestPrep's
Numerical Reasoning
Formulas
Although taking a numerical reasoning test is not the same as taking a maths
exam, in order to succeed on a numerical test you will need to have mastered
some basic maths skills.
## Numerical tests usually target the following mathematic skills:
2. ... |
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# Arc Length Formula
Last updated date: 04th Aug 2024
Total views: 67.8k
Views today: 0.67k
## What is the Arc Length Formula?
To find the length of an arc of a circle, let us understand the arc length formula. An arc is a component of a circle... |
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     Â
Special Features Of Isosceles Triangles
Triangles are the polygons with three sides. We say that the triangle is the closed figure with three sides. Now we need to know that the Triangles are classified as per the measure of their lengths of their sides. We say that the triangles which ha... |
# Mathsight Class 7 Solutions Chapter 13
## Mathsight Class 7 Solutions Chapter 13 Congruence
Welcome to NCTB Solutions. Here with this post we are going to help 7th class students to solve MathSight Class 7 Mathematics Book, Chapter 13, Congruence. Here students can easily get all the exercise questions solution for... |
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Multiplying and Factoring Polynomials
# Multiplying and Factoring Polynomials
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## Multiplying and Factoring Polynomials
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Trans... |
Strand: NUMBER AND OPERATIONS - FRACTIONS (4.NF)
Extend understanding of equivalence and ordering of fractions (Standards 4.NF.1-2). Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers (Standards 4.NF.3-4). Understand decimal notation to the hundredths a... |
# Interval in Math – Meaning, Definition, Examples
Welcome, math explorers! At Brighterly, we believe in illuminating the path of mathematical discovery for children. Today, we’re setting off on a journey to understand the concept of “interval” in mathematics. This might seem like a complex term at first, but don’t wo... |
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11 / 21 CBSE Class 10 Mathematics NCERT Exemplar Solutions Chapter 8 INTRODUCTION TO TRIGONOMETRY AND ITS APPLICATIONS EXERCISE 8.4 1. If cosec θ + cot θ = p, then prove that cos θ = . Sol. cosec θ + cot θ = p [Given] Squaring Both Sides, We get [By using the rule of componendo and dividendo can be written as... |
# Resistors In Parallel
## Introduction
In the previous part we identified how the resistance of a circuit can be calculated when one or more resistors are combined in series. In this section we develop our knowledge of circuit analysis by examining parallel combination of resistors.
## Identifying and Analysing Par... |
UPSKILL MATH PLUS
Learn Mathematics through our AI based learning portal with the support of our Academic Experts!
Result $$6$$:
The two direct common tangents drawn to the circles are equal in length.
Explanation:
The two direct common tangents $$AC$$ and $$BD$$ from $$P$$ drawn to the circles are equal in length.
... |
32
Q:
# The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team ?
A) 20 years B) 21 years C) 23 year... |
Tuesday , July 5 2022
# NCERT 5th Class (CBSE) Mathematics: Ratio And Proportion
## UNDERSTANDING RATIO
This necklace has been made by Annisha using red and yellow beads.
The ration of red beads to yellow beads is 5 : 4 0r 5/4
5 ( Number of red beads) /4 ( number of yellow beads )
The ration of yellow beads to re... |
# Finding a peak in 2 Dimensional Array
In last post I talked about finding 1-D array peak.
A peak in a 2-D array is an element which has left, right, top and bottom elements lower than it. A simple approach will be to extend the 1-D array approach. Treat each row (or column) as 1-D array, and apply 1-D peak finding ... |
# 2016 AMC 8 Problems/Problem 21
A top hat contains 3 red chips and 2 green chips. Chips are drawn randomly, one at a time without replacement, until all 3 of the reds are drawn or until both green chips are drawn. What is the probability that the 3 reds are drawn?
$\textbf{(A) }\dfrac{3}{10}\qquad\textbf{(B) }\dfrac... |
# Domain and Range
A relation may be described by:
• a listed set of ordered pairs
• a graph
• a rule
The set of all first elements of a set of ordered pairs is known as the domain and the set of all second elements of a set of ordered pairs is known as the range.
Alternatively, the domain is the set of independent va... |
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## How do you find the maximum percent error?
Calculate the percent error of your measurement.
1. Subtract one value from the other: 2.68 – 2.70 = -0.02.
2. Depending on what you need, you may discard any negative sign (take the absolute value): 0.02.
3. Divide the error by the true value:0.02/2.70 = 0.0074074... |
# 5.6: Determination of Unknown Triangle Measures Given Area
Difficulty Level: At Grade Created by: CK-12
Estimated36 minsto complete
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Practice Determination of Unknown Triangle Measures Given Area
MEMORY METER
This indicates how strong in your memory this concept is
Progress
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E... |
## Ways to prove a bijection
You have a function $f : A \to B$ and want to prove it is a bijection. What can you do?
## By the book
A bijection is defined as a function which is both one-to-one and onto. So prove that $f$ is one-to-one, and prove that it is onto.
This is straightforward, and it’s what I would expec... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Horizontal and Vertical Asymptotes
## Guidelines that graphs approach based on zeros and degrees in rational functions.
Estimated10 minsto complete
%
Progress
Practice Horizontal and ... |
# Solution of Quadratic Equation by factorization
In this method, write the quadratic equation in the standard form as
ax2 + bx + c = 0 (i)
If two numbers r and s can be found for the equation (i) such that
r + s = b and rs = ac
then ax2 + bx + c can be factorized into two linear factors.
### Example
So... |
# Solve Word Problems with Line Plots
Related Topics:
Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
Examples, videos, and solutions to help Grade 4 students learn how to solve word problems with line plots.
Common Core Standards: 4.NF.1, 4.NF.2, 4.NF.3, 4.NBT.6, 4.NF.4a, 4.MD.4
... |
# Order of Operations
The lesson below is still images taken from the fully animated PowerPoint I created that is available in my Teachers Pay Teachers store page. If the PowerPoint is not one of my freebies, you may also head over to my YouTube channel to see the slideshow fully animated and can pause as needed to be... |
## Financial Maths, Part 1
For some of my students, interest calculations are troublesome: you can say that they quickly lose interest in interest.
If I still have your interest after that bad joke, I will continue. The two main types of interest are simple and compound interest. In simple interest, the principal (th... |
# What is the general solution of the differential equation xy'' = y'+x(y')^2?
Oct 25, 2017
$y = C - \ln | {x}^{2} + B |$
#### Explanation:
We have:
$x y ' ' = y ' + x {\left(y '\right)}^{2}$ ..... [A]
Which is a Second Order Non-Linear ODE. As there is no term in $y$ then let us attempt the following substitutio... |
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# FINAL_EXAM_REVIEW_QUESTIONS - REVIEW FOR THE FINAL The hope...
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REVIEW FOR THE FINAL The hope is that this will prepare you for the final. If you work out the problems d... |
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# QUADRATIC EQUATIONS OMTEX CLASSES www.omtexclasses.
com
EXERCISE - 2.1 1. Which of the following are quadratic equations ?
(i) 11 = – 4x2 – x3 (ii) -¾ y2 = 2y + 7 (iii) (y – 2) (y + 2) = 0 (iv) 3/y – 4 =... |
# Math for Transforming 3D Geometry
Whether you’re writing your own game engine, using Unity or Unreal, or you’re an artist making 3D graphics, a basic understanding of the kinds of math computers use to get graphics on the screen is a huge asset. This article introduces vectors, complex numbers, Euler angles, quatern... |
# What is the slope-intercept form (y=mx+b) of x-y=5?
Feb 26, 2018
$y = x - 5$
#### Explanation:
$5 = x - y$
$y + 5 = x$
$y = x - 5$
The coefficient of x is 1, thus so is the gradient. $b$, or the y intercept, is -5.
Feb 26, 2018
$y = x - 5$
#### Explanation:
$\text{rearrange "x-y=5" into slope-intercept for... |
Difference between revisions of "1997 USAMO Problems/Problem 6"
Problem
Suppose the sequence of nonnegative integers $a_1,a_2,...,a_{1997}$ satisfies
$a_i+a_j \le a_{i+j} \le a_i+a_j+1$
for all $i, j \ge 1$ with $i+j \le 1997$. Show that there exists a real number $x$ such that $a_n=\lfloor{nx}\rfloor$ (the greates... |
Class 10 Area of a Triangle
Topic Covered
♦ Area of a Triangle
Area of a Triangle
In your earlier classes, you have studied how to calculate the area of a triangle when
its base and corresponding height (altitude) are given. You have used the formula :
text (Area of a triangle) = 1/2 xx text (base) xx text (altitu... |
Hypotenuse Leg (HL) Congruence Theorem
This lesson will introduce a very long phrase abbreviated CPCTC. It's easy to remember because every other letter is "C," you see? The Hypotenuse Leg or HL Theorem, is not as funny as the Hypotenuse Angle or HA Theorem, but it is useful. This theorem is really a derivation of the... |
# Surface Area of Prisms Cylinders Objectives 1 To
• Slides: 11
Surface Area of Prisms & Cylinders Objectives: 1) To find the surface area of a prism. 2) To find the surface area of a cylinder.
I. Surface Area of a Prism § Prism – Is a polyhedron with exactly 2 , // faces, called bases. § Name it by the shape of its... |
Practice problems - simplifying fractions. Explained with pictures and diagrams.
# Equivalent Fractions Lesson
### Methods to Simplify Fraction
#### General Steps
Let's examine the fraction 2/4.
• The first step is to determine the largest number that evenly divides the numerator and the denominator (also called... |
# A Pair of Complementary Angles
One pair of complementary angles
Name a pair of complementary angles, a pair of complementary angles, and a pair of adjacent angles in the figure. Complimentary Angles | Complementary Angle Theorem Within geography we are learning about angles and forms. A square is the shape created ... |
# How to factor
Want create site? Find Free WordPress Themes and plugins.
How to factor? Are you scared of factor? Do you face trouble while doing these math’s? They are not as hard as you think and since they are a part of algebra you will understand it once you start practicing. Let us start with knowing what is a... |
Lesson Objectives
• Learn how to apply a horizontal shift to a function
• Learn how to apply a vertical shift to a function
## How to Apply a Horizontal or Vertical Shift
In this lesson, we want to show how to apply a horizontal and or vertical shift to a function. Essentially, a vertical shift occurs when the action... |
# The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80 . Then which one of the following gives possible values a and b? i a = 1, b = 6 ii. a = 3, b = 4 iii. a = 0, b = 7 iv. a = 5, b = 2
Latika Leekha
7 years ago
The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80.
Now, using the deifn... |
# Lesson 3: Circuit Fundamentals 2
We’re finally starting to get armed with some more useful tools to allow us to understand and design some practical circuits.
Today I’m going to talk about another of Kirchoff’s contributions to circuit theory, Kirchoff’s current law. To beign we need to define something called a no... |
Free Essay
# Mth209 Notes
In: Other Topics
Submitted By hanersp
Words 298
Pages 2
Monomials and Polynomials
A monomial is a number, a variable, or a product of numbers and variables raised to natural number powers.
Examples of monomials: [pic]
The degree of monomial is the sum of the exponents of the variables. If... |
# Maharashtra Board 12th Commerce Maths Solutions Chapter 8 Probability Distributions Ex 8.2
Balbharati Maharashtra State Board 12th Commerce Maths Solution Book Pdf Chapter 8 Probability Distributions Ex 8.2 Questions and Answers.
## Maharashtra State Board 12th Commerce Maths Solutions Chapter 8 Probability Distrib... |
# McGraw Hill Math Grade 8 Lesson 7.1 Answer Key Place Value and Rounding
Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 7.1 Place Value and Rounding to secure good marks & knowledge in the exams.
## McGraw-Hill Math Grade 8 Answer Key Lesson 7.1 Place Value and Rounding
Exercises
ROUND
R... |
Triangle
# Solution of Triangle
There are three sides and three angles in a triangle. They are called the six elements of a triangle. Given any three elements (at least one side) in any triangle, remaining three elements can be determined. This process of finding the unknown three elements is called solution of trian... |
# FIND THE EQUATION OF A TRANSFORMED EXPONENTIAL FUNCTION FROM A GRAPH
Any transformed exponential can be written in the form
y = abx - h + k
where y = k is the horizontal asymptote.
Note that, due to the shift, the vertical intercept is shifted to (0, a+k)
Find the exponential function represented by the graph gi... |
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# Rational Exponents
Sep 15, 2022
## Key Concepts
• Define a rational exponent.
• Solve equations with rational exponents using the product of powers property.
• Solve equations with rational exponents using the power of a power property.
• Solve equations with rational exponen... |
Probability Gambling (Age 7)
The Activities
1. Topic: Logic, Problem Solving: Book: More Stories to Solve by Shannon. This is a book of 15 short stories with surprise endings you can try to figure out. The kids really loved this, and begged to do more stories. We read 5 stories, and were able to solve 4 of them by d... |
Question Video: Solving Trigonometric Equations by Squaring | Nagwa Question Video: Solving Trigonometric Equations by Squaring | Nagwa
# Question Video: Solving Trigonometric Equations by Squaring Mathematics • First Year of Secondary School
## Join Nagwa Classes
By first squaring both sides, or otherwise, solve th... |
# CBSE & NCERT Solutions Class 9 Maths Circles Takshila Learning
## Maths NCERT Solutions Class 9 – Chapter 11 – Circle – Part 1
Class 9 Maths Circle – A circle is the locus of a point which moves in a plane in such a way that its distance from a given fixed point is always constant.
The permanent tip is called the ... |
# The Largest Rectangular Area in a Histogram
The Largest Rectangular Area in a Histogram
## Introduction
One of the most feared things by human beings is a failure. The extent to which people push themselves to avoid disappointment is quite surprising, but being prepared is one of the easiest ways to steer clear of... |
How do you differentiate (3x^2+4) / (sqrt(1+x^2))?
Apr 5, 2015
Hey there! :)
Looks tough when you first see it, right? However, differentiation rules are like super powers.
Here is the short story:
$\frac{d}{\mathrm{dx}} \left(\frac{3 {x}^{2} + 4}{\sqrt{1 + {x}^{2}}}\right) = \frac{6 x}{\sqrt{1 + {x}^{2}}} - \frac... |
# Samacheer Kalvi 10th Maths Solutions Chapter 5 Coordinate Geometry Ex 5.3
## Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 5 Coordinate Geometry Ex 5.3
Question 1.
Find the equation of a straight line passing through the mid-point of a line segment joining the points(1, -5) (4, 2) and parallel to
(i) X axi... |
# Derivatives of Non-Polynomial Functions
In this section, we introduce rules for the derivatives of exponential, logarithmic, trigonometric, and inverse trigonometric functions. Although it’s possible to compute each derivative using the difference quotient, it will take a long time to compute derivatives during calc... |
# 10th Maths Chapter 2 Numbers and Sequences Ex 2.1
## 10th Maths Chapter 2 Numbers and Sequences Ex 2.1
You can Download 10th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations
1.Find all positive integers which when divided by 3 ... |
# How do you do the sum 5+10?
mathsworkmusic | Certified Educator
The meaning of '5+10' is 'what number do you get when you add five and ten together'.
When you add two numbers, write the bits of the number under hundreds, tens and units columns. Write one number below the other, with the bits in the right columns.... |
Stat Trek
Teach yourself statistics
Teach yourself statistics
# F Distribution Probability Calculator
The F distribution calculator makes it easy to find the cumulative probability associated with a specified f statistic. Or you can find the f statistic associated with a specified cumulative probability. For help i... |
# Excercise 3.3 Data Handling - NCERT Solutions Class 7
Go back to 'Data Handling'
## Chapter 3 Ex.3.3 Question 1
Use the bar graph (see below figure) to answers the following questions.
(i) Which is the most popular pet?
(ii) How many students have dog as a pet?
### Solution
Steps:
From the given bar graph in... |
# Math Worksheets Land
Math Worksheets For All Ages
# Math Worksheets Land
Math Worksheets For All Ages
Home > Topics >
# Subtraction Worksheets
What is Subtraction? We all know that mastering addition is easier than grasping the concept of subtraction. Children can quickly put two things together to obtain a sum... |
# IIM CAT Preparation Tips
IIM CAT Preparation Tips: January 2014
## Jan 28, 2014
### Inequalities - Interesting Question
Question
How many positive integer values can x take that satisfy the inequality (x - 8) (x - 10) (x - 12).......(x - 100) < 0?
Explanation
Let us try out a few values to see if that gives us ... |
# Difference Between Natural and Whole numbers
The key difference between natural number and whole number is the presence of value ‘0’ in whole numbers. A number is an arithmetic value which is used to represent a particular quantity. In Mathematics, the different types of numbers are as follows:
• Integers
• Real Nu... |
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PRIMITIVE, DEFINITE INTEGRAL
Def. Primitive of a function. Given a function f(x), the primitive of f(x) is a function F(x) which has f(x) as its derivative i.e. it is a function F(x) such that F'(x) = f(x). If F(x) is a primitive of f(x) then F(x)... |
# Common Core: 8th Grade Math : Understand that the Solution of a System of Two Linear Equations is the Intersection of their Lines: CCSS.Math.Content.8.EE.C.8a
## Example Questions
← Previous 1
### Example Question #1 : Understand That The Solution Of A System Of Two Linear Equations Is The Intersection Of Their Li... |
$$\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 \|}$$ $$... |
# How to Interpret a Student's T-Test Results
••• Creatas/Creatas/Getty Images
Print
Mastering statistical techniques can help us to better understand the world around us, and learning to handle data correctly can prove useful in a variety of careers. T-Tests can help to determine whether or not the difference betwee... |
# How do you write the solution in interval notation, and graph -5/3x<=-10?
Feb 17, 2018
Interval notation: [6,∞)
See the graph below.
#### Explanation:
First, solve for x:
$- \frac{5}{3} x \le - 10$
When dividing or multiplying by a negative, then flip the inequality sign.
$\left(- \frac{5}{3} \textcolor{red}{... |
Lesson 3
Compose Three-digit Numbers
Lesson Purpose
The purpose of this lesson is for students to use base-ten representations to build an understanding of the digits in three-digit numbers.
Lesson Narrative
In previous units, students used base-ten blocks and diagrams to compose and decompose tens when adding and... |
# Math Homework: 704520
Math Homework
Question 1
A quadratic function has a series of varying positive gradients on one part and a series of varying negative gradients on the other part. The positive and negative gradients meet at a point where the gradient is zero hence forming a maximum point or a minimum point. T... |
# Basics of Simplification with Important Questions, Formula, Rules and Concepts for Bank Exams
By Jyoti Bisht|Updated : October 31st, 2021
We all know the importance of fast and speedy calculations in bank and insurance exams. Simplification is one of the topics in the quant section that requires a speedy calculatio... |
# How do you simplify sqrt(2205)?
Jan 25, 2016
$21 \sqrt{5}$
#### Explanation:
The key to this solution is to represent $2205$ as a product of some numbers that are squares of some other numbers and to use a property of square roots that allows to do the following for any two non-negative real numbers $X$ and $Y$:
... |
# Divisibility Rules
A divisibility rule is a shortcut you can use to see if an integer is evenly divisible by another integer, without doing the actual division. Most divisibility rules involve looking at the digits of the number.
Here are some easy divisibility rules for 1 through 11:
## 1
All integers are divisi... |
# Illustrative Mathematics Grade 8, Unit 1, Lesson 7: No Bending or Stretching
Learning Targets:
• I can describe the effects of a rigid transformation on the lengths and angles in a polygon.
Related Pages
Illustrative Math
#### Lesson 7: No Bending or Stretching
Let’s compare measurements before and after transla... |
# The slope of the line? positive negative zero undefined
Question: The slope of the line? positive negative zero undefined
The slope of a line is a measure of how steeply it rises or falls as we move along the x-axis. The slope can be positive, negative, zero, or undefined depending on the direction and shape of the... |
# Into Math Grade 3 Module 13 Lesson 4 Answer Key Represent and Name Fractions on a Number Line
We included HMH Into Math Grade 3 Answer Key PDF Module 13 Lesson 4 Represent and Name Fractions on a Number Line to make students experts in learning maths.
## HMH Into Math Grade 3 Module 13 Lesson 4 Answer Key Represent... |
# PSAT Math : How to find the endpoints of a line segment
## Example Questions
### Example Question #1 : How To Find The Endpoints Of A Line Segment
The midpoint of line segment AB is (2, -5). If the coordinates of point A are (4, 4), what are the coordinates of B?
(0, -13)
(0, -14)
(6, 14)
(6, 13)
(3, -0.5)
... |
# Examples of Recursive Problems
## Recursion Algorithms - Introduction to Recursion - Examples of Recursive Problems
### Introduction
Recursion is a fundamental concept in computer science and programming. It refers to solving a problem by breaking it down into smaller, similar subproblems until a base case is reac... |
Åk 6–9
English/Soomaali
3.1 Writing Algebraic Expressions
If you have gone through part 2 in this section, you have seen that you can express a problem in many different ways; in words, figures, tables, and finally algebraic expressions. You should even have learned moer about how to write algebraic expressions.
Jasm... |
## Revision Notes of Chapter 12 Heron's Formula Class 9th Math
Topics in the Chapter
• Basics Revision
• Area of Triangle
• Heron's Formula
• Area of equilateral Triangle
Basics Revision
• Area of a triangle = 1/2 × Base × Height
Heron’s formula: For sides of a triangle being a, b, c:
Area of Triangle =
where s is s... |
# Sarah is 25 years older than her son Gavin. In ten years, Sarah will be twice Gavin age. How old are Sarah and Gavin?
Feb 25, 2018
Sarah is 40 and Gavin is 15
#### Explanation:
Let (G+25) be Sarah's age and G be Gavin's age
$S = G + 25$
$G + 25 = 2 \left(G + 10\right)$
$G = 15$
$S = 40$
Feb 25, 2018
Below.
###... |
# How do you find (d^2y)/(dx^2) for x^2+4y^2=5?
Nov 6, 2016
$\frac{{d}^{2} y}{{\mathrm{dx}}^{2}} \left[{x}^{2} + 4 {y}^{2} = 5\right] = \frac{- 5}{16 {y}^{3}}$
#### Explanation:
First find $\frac{\mathrm{dy}}{\mathrm{dx}}$ by implicitly differentiating ${x}^{2} + 4 {y}^{2} = 5$:
${x}^{2} + 4 {y}^{2} = 5$
$2 x + 8 y... |
A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm,
Question:
A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85cm (See figure 18.5). The thickness of the plank is 5cm everywhere. The external faces are to be polished and the inner fa... |
# Square Root By Prime Factorization
Created by: Team Maths - Examples.com, Last Updated: May 10, 2024
## Square Root By Prime Factorization
Square root prime factorization is a method used in mathematics to break down a number into its prime factors to easily find its square and square root. This technique is parti... |
## Presentation on theme: "Adding and Subtracting Integers."— Presentation transcript:
Absolute Value -7 +7 -5 5 10 -10 A number line has many functions. Previously, we learned that numbers to the right of zero are positive and numbers to the left of zero are negative. By putting points on the number line, we can grap... |
How do you substitute values in algebraic expressions?
To substitute a number into an algebraic expression, all you need to do is re-write the expression in exactly the same way, except replacing the variable (letter) with the number. It always makes it clearer to put the number in brackets too. Then you can simplify ... |
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# Find the points which divide the line segment joining $(8,12)$ and $(12,8)$ into four equal parts.
Last updated date: 11th Aug 2024
Total views: 410.1k
Views today: 8.10k
Answer
Verified
410.1k+ views
Hint: Draw a rough sketch of a line joining... |
# GMAT Math : Exponents
## Example Questions
← Previous 1 3 4 5 6 7 8 9
### Example Question #1 : Exponents
cannot be determined
Explanation:
Putting these together,
Explanation:
Then,
### Example Question #1 : Exponents
Explanation:
Then putting them together,
### Example Question #1 : Understanding Expone... |
# Class 10 Maths Chapter 8: Introduction to Trigonometry Ex 8.1
In this page we have NCERT Solutions for Class 10 Maths Chapter 8: Introduction to Trigonometry for EXERCISE 8.1 . Hope you like them and do not forget to like , social_share and comment at the end of the page.
Question 1
In Δ ABC, right-angled at B, AB =... |
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