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# 1983 AIME Problems/Problem 14
## Problem
In the adjoining figure, two circles with radii $8$ and $6$ are drawn with their centers $12$ units apart. At $P$, one of the points of intersection, a line is drawn in such a way that the chords $QP$ and $PR$ have equal length. Find the square of the length of $QP$.
$[asy]... |
# How To Find A Circle Knowing The Diameter
## Video: How To Find A Circle Knowing The Diameter
A circle is a plane figure whose points are equally distant from its center, and the diameter of a circle is a segment passing through this center and connecting the two most distant points of the circle. It is the diamete... |
Unveiling the Mysteries: Exploring the Intricacies of Higher-Order Sets
Getting Started
In set theory, a discipline that forms the foundation of mathematics, sets are fundamental objects that allow us to classify and organize elements into distinct groups. Sets can contain any number of elements, including other sets... |
### Remainder theorem
Introduction
How do we find the remainder when we divide by ?
One way is to use long division
From the long division, we get a remainder of 13
Note that:
is known as the divisor
is known as the quotient
is known as the dividend
In most cases we are only interested in the remainder, there is ... |
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Theory:
Rational Expression
An expression is called a rational expression if it can be written in the form $$\frac{p(x)}{q(x)}$$ where $$p(x)$$ and $$q(x)$$ are polynomials and $$q(x) \neq 0$$.
A rational expression is the ratio of two polynomials.
Examp... |
# دوره GRE Test- Practice & Study Guide ، فصل 25 : GRE Quantitative Reasoning- Probability and Statistics
## دربارهی این فصل:
Looking for practice in probability and statistics for the GRE? This chapter offers engaging and fun video lessons to help prepare you for these questions on the GRE test. Test your knowledge... |
Maths Square and Square Roots part 17 (Repeated Subtraction Method) CBSE Class 8 Mathematics VIII | Summary and Q&A
15.2K views
January 26, 2017
by
LearnoHub - Class 11, 12
Maths Square and Square Roots part 17 (Repeated Subtraction Method) CBSE Class 8 Mathematics VIII
TL;DR
This video explains how to find square r... |
Proving $x-1$ is a Factor of $P(x)$ with Polynomials
• MHB
• anemone
In summary, when we say that $x-1$ is a factor of $P(x)$ with polynomials, it means that when we divide $P(x)$ by $x-1$, the remainder is equal to zero. To prove this, we can use the factor theorem and substitute $x=1$ to see if the result is equal t... |
# Impulse and Linear momentum
### (1) Introduction
• It becomes difficult to use Newton's law of motion as it is while studying complex problems like collision of two objects,motion of the molecules of the gas,rocket propulsion system etc
• Thus a further study of newton's law is required to find some theorem or prin... |
# Calculus Squeeze Theorem
In this section, ask-math explains you the calculus squeeze theorem.
The limit of function that is squeezed between two other functions, each function will have same limit at given value of x. If two functions squeeze together at a particular point, then any function trapped between them wil... |
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# Long Answers - Force and Laws of Motion, Science, Class 9 Class 9 Notes | EduRev
## Class 9 : Long Answers - Force and Laws of Motion, Science, Class 9 Class 9 Notes | EduRev
The document Long Answers - Force and Laws of Motion, Science, Class 9 Class 9 Notes | EduRev is a part of the Class 9 Course Class ... |
# What are the 4 representations of a function?
## What are the 4 representations of a function?
Note We will typically represent related data in four ways or from four viewpoints. Numerically (using a chart or table of data) • Graphically (using a scatter plot or continuous graph) • Verbally (using a word descriptio... |
# How do you simplify sqrt10*sqrt20?
Jan 24, 2017
$10 \sqrt{2}$
#### Explanation:
Using the property that states that $\sqrt{a} \sqrt{b} = \sqrt{a b}$,
$\sqrt{10} \cdot \sqrt{20} = \sqrt{10 \cdot 20} = \sqrt{200} = \sqrt{25 \cdot 4 \cdot 2}$
$= \sqrt{25} \sqrt{4} \sqrt{2} = 5 \cdot 2 \cdot \sqrt{2} = 10 \sqrt{2}$... |
NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.3
# NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.3
## NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.3
NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.3 are the part of NCERT So... |
# Grade 8 Introduction to Graphs Worksheets
## Grade 8 Maths Introduction to Graphs Multiple Choice Questions (MCQs)
1. The coordinate of A in the adjacent graph is:
(a) (-7, 3)
(b) (7, -7)
(c) (-6, -1)
(d) (2, -3)
2. The coordinate of B in the adjacent graph is:
(a) (-7, 3)
(b) (7, -7)
(c) (-6, -1)
(d) (2, -3)
3. Th... |
# How do you simplify sqrt7-6sqrt7?
May 19, 2017
$- 5 \sqrt{7}$
#### Explanation:
Let $x = \sqrt{7}$
$x - 6 x = - 5 x$
Substituting $\sqrt{7}$ will give us $- 5 \sqrt{7}$
May 19, 2017
$- 5 \sqrt{7}$
#### Explanation:
Remember it is actually $1 \sqrt{7} - 6 \sqrt{7}$
There are two terms with a common factor o... |
### Congruence of Triangles - Solutions 2
CBSE Class –VII Mathematics
NCERT Solutions
Chapter 7 Congruence of Triangles
(Ex. 7.2)
Question 1. Which congruence criterion do you use in the following?
(a) Given: AC = DF, AB = DE, BC = EF
So $\mathrm{\Delta }$ABC $\cong \mathrm{\Delta }$DEF
(b) Given: RP = ZX, RQ = ZY, ... |
# RD Sharma Class 10 Ex 5.1 Solutions Chapter 5 Trigonometric Ratios
In this chapter, we provide RD Sharma Class 10 Ex 5.1 Solutions Chapter 5 Trigonometric Ratios for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 10 Ex 5.1 Solutions... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# 5.6: Solving System of Inequalities on the Cartesian Plane
Difficulty Level: At Grade Created by: CK-12
## Solving a System of Linear Inequalities
Introduction
In a previous lesson ... |
The Parabola
The Northern Cross Radiotelescope
The parabola is defined in analytic geometry as the set of all points P in a plane that are the same distance from a given line and a fixed point not on a line. The fixed point is called the focus and the fixed line is called the directrix.
Activity
A fun classroom a... |
# RD Sharma Solutions for Class 7 Maths Chapter 12 Profit And Loss
The PDF of RD Sharma Solutions for Class 7 Maths Chapter 12 Profit and Loss are downloaded from the given links. Class 7 is a stage where several new topics are introduced. Our experts formulate RD Sharma Solutions to help students in their exam prepar... |
# Solving composite functions
When Solving composite functions, there are often multiple ways to approach it. Math can be a challenging subject for many students.
## Solve composite functions
In this blog post, we will explore one method of Solving composite functions. Primary School of Linshu sub district paid spec... |
# NCERT Solutions for Class 8 Maths Chapter 9 Exercise 9.1 – Algebraic Expressions & Identities
NCERT Solutions for Class 8 Maths Chapter 9 Exercise 9.1 – Algebraic Expressions & Identities, has been designed by the NCERT to test the knowledge of the student on the following topics:-
• What are Expressions?
• Terms, ... |
# Add 3 Single Digit Numbers
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
## Overview
By now you should be comfortable with adding two numbers.
In this lesson, we are going to learn how to add three numbers together.
Look at the example below:
In this case, we can add 6 + 3.
6 + 3 = 9. Now, we will take ou... |
# Lesson 7: One Hundred Percent
Let’s solve more problems about percent increase and percent decrease.
## 7.1: Notice and Wonder: Double Number Line
What do you notice? What do you wonder?
## 7.2: Double Number Lines
For each problem, complete the double number line diagram to show the percentages that correspond ... |
Number of ways to distribute the coins?
There are 3 pots and 4 coins. All these coins are to distributed into these pots where any pot contain any number of coins.
In how many ways can all these coins be distributed if out of 4 coins 2 coins are identical and all pots are different?
-
You really need to start puttin... |
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# Probability
## Example 4: using the probability rules
It is known that the probability that a child will buy a phantom comic is $$0.3$$. If $$3$$ children purchase comics at the same time, what is the probability that:
a) all will purchase a phantom comic?
b) none will purchase a phant... |
Area bounded by given curves
• Jan 30th 2010, 09:27 AM
DBA
Area bounded by given curves
Find the area of the region by the given curves.
y=5ln(x) and y=xln(x)
This exercise is under the subject " Techniques of integration" and within this subject we were using the following formula
$\displaystyle \int\! u\,dv = uv - ... |
# 1993 AIME Problems/Problem 4
## Problem
How many ordered four-tuples of integers $(a,b,c,d)\,$ with $0 < a < b < c < d < 500\,$ satisfy $a + d = b + c\,$ and $bc - ad = 93\,$?
## Solution
### Solution 1
Let $k = a + d = b + c$ so $d = k-a, b=k-c$. It follows that $(k-c)c - a(k-a) = (a-c)(a+c-k) = (c-a)(d-c) = 93... |
# 6.1 Algebraic Expressions III
6.1 Algebraic Expressions III
6.1.1 Expansion
1. The product of an algebraic term and an algebraic expression:
• a(b + c) = ab + ac
• a(bc) = ab ac
2. The product of an algebraic expression and another algebraic expression:
• (a + b) (c + d) = ac + ad + bc + bd
• (a + b)2= a2 + 2ab +... |
# linear least squares fit
One of the most common uses of least squares fitting is fitting a straight line to data. Whilst, in general, it is difficult to determine the curve which best fits the data, in this case there is a relatively simple formula which can be used.
###### Theorem 1.
Suppose we have a data set $(... |
## Math 7, Lesson 7, Fall 2021, 11/07/2021
zhenli Posted in Teaching Plan
Comments Off on Math 7, Lesson 7, Fall 2021, 11/07/2021
Section 1: Like Terms and Unlike Terms
1. Terms, coefficient, and constant terms
• The expression 2x – 3y + 8 consists of three terms. They are 2x, -3y and 8. The numerical part, includi... |
# Right n-sided pyramid solid angle
Have:
N-faces right pyramid
value of apex solid angle
value of N
Need to find:
value of flat angle (C on image)
• Anything else is known? The angle will depend on the height of the pyramid. Oct 10, 2017 at 13:32
• @Theorem I thought it meant solid angle. Oct 10, 2017 at 13:32
• @V... |
# SSC > Straight Lines
Explore popular questions from Straight Lines for SSC. This collection covers Straight Lines previous year SSC questions hand picked by experienced teachers.
General Intelligence and Reasoning
General Awareness
Quantitative Aptitude
English Comprehension
Q 1.
Correct2
Incorrect-0.5
The equat... |
## Geometric Series Worksheet Solution3
In the page geometric series worksheet solution3 you are going to see solution of each questions from the geometric series worksheet.
(6) The second term of the geometric series is 3 and the common ratio is 4/5. Find the sum of first 23 consecutive terms in the given geometric ... |
# 54 Times Table
As a math teacher, your goal is to instill a love for numbers and foster a deep understanding of mathematical concepts in your students. While the multiplication tables up to 10 or 12 are commonly taught, exploring higher multiplication tables can be a rewarding and enriching experience.
In this blog... |
Areas and Distances
The fundamental problem that integral calculus seeks to solve involves area. For many applications, we need to be able to find the area of complex shapes, that do not fall under our typical geometric shapes. Typically, this involves finding the area under or between curves that we can represent as ... |
# Eureka Math Geometry Module 1 Lesson 21 Answer Key
## Engage NY Eureka Math Geometry Module 1 Lesson 21 Answer Key
### Eureka Math Geometry Module 1 Lesson 21 Example Answer Key
Example
ABCD is a square, and $$\overline{A C}$$ is one diagonal of the square. △ABC is a reflection of △ADC across segment AC. Complete ... |
How to explain to a ~$12-16$ year-old student who is weak at maths, that $\ 38 \times 27 \times 14 = 27 \times 14 \times 38$?
How to explain to a ~$$12-16$$ year-old student who is weak at maths, that $$\ 38 \times 27 \times 14 = 27 \times 14 \times 38,\$$ and that $$\ 3.4 \times 10^{-6} \times 2.1 \times 10^{-5} = 3.... |
# Which pair of expressions are equivalent
Consider the expressions 3 2 + 1 and 5 × 2. Both are equal to 10. That is, they are equivalent expressions. Now let us consider some expressions that include variables, say 5 x + 2. The expression can be rewritten as 5 x + 2 = x + x + x + x + x + 1 + 1.
Equivalent expression... |
6 September, 06:44
# A plumber has a piece of pipe that is 3-meter long. He needs to cut it into sections that are 10 centimeters long. How many sections will he be able to cut?
+3
1. 6 September, 07:59
0
He will be able to cut the piece of pipe into 30 sections, each 10 cm long.
Step-by-step explanation:
A plumber... |
# Average and Instantaneous Rate of Change
A variable which can assign any value independently is called the independent variable, and the variable which depends on some independent variable is called the dependent variable.
For Example:
If $x = 0,1,2,3, \ldots$ etc, then
We see that as $x$ behaves independently, w... |
# Problem of the Month (August 2014)
Suppose we have n points in the interior of a square, and these points are rigid because they are constrained to be distance 1 from some subset of the sides of the square and each other. What are the possible sizes of the square, and the fewest number of points necessary to achieve... |
# How do you write a polynomial in standard form given the zeros x=-4, 5. -1?
May 26, 2016
${x}^{3} - 21 x - 20 = 0$
#### Explanation:
If $\left\{\alpha , \beta , \gamma , \delta , . .\right\}$ are the zeros of a function, then the function is
$\left(x - \alpha\right) \left(x - \beta\right) \left(x - \gamma\right)... |
# Is -1 a Rational Number? Detailed Explanation With Sample
Yes, the number $-1$ is a rational number because we can write the number negative $1$ in $\dfrac{p}{q}$ form.
So, the question arises, “what is meant by $\dfrac{p}{q}$ form?” “What is meant by “p” and what is meant by “$q$”?” In this article, we will study ... |
## Precalculus (6th Edition) Blitzer
a. $a=-2, b=32, c=42$ b. 2pm,$170$ (ppm).
a. Step 1. Let $c=u, b=v, a=w$. The function becomes $y=u+vx+wx^2$. Use the data from the table to set up the system of equations: $\begin{cases} u+2v+4w=98 \\ u+4v+16w=138 \\ u+10v+100w=162 \end{cases}$ Step 2. Write the matrix and perform... |
# Euclidean Algorithm
The Euclidean Algorithm, also known as Euclid’s Algorithm, is used in discrete mathematics to find the greatest common divisor of two natural numbers, namely $$a$$ and $$b$$. The greatest common divisor is typically denoted as $$gcd\left(a,b\right).$$ In general, the Euclidean Algorithm is used w... |
# How do you find a power series representation for f(x) = x / (1+x^2) and what is the radius of convergence?
Sep 29, 2015
Write out a power series that when multiplied by $1 + {x}^{2}$ gives $x$.
Find ${\sum}_{n = 0}^{\infty} {\left(- 1\right)}^{n} {x}^{2 n + 1}$ works and has radius of convergence $1$.
#### Expl... |
+0
# COUNTING METHODS
0
175
1
SOLVE AND VERIFY
a. (n-2)! / (n-3)! = 5
b. (n+2)! / n! = 42
c. (n-3)! / 2!(n-4)! = 17
d. nP2 = 12
May 25, 2020
#1
+2424
+1
I will do the first two problems and then I will let you apply the techniques I demonstrated for the rest of them.
a) $$\frac{(n-2)!}{(n-3)!}=5$$
T... |
Giáo trình
# Precalculus
Mathematics and Statistics
## Geometric Sequences
Tác giả: OpenStaxCollege
Many jobs offer an annual cost-of-living increase to keep salaries consistent with inflation. Suppose, for example, a recent college graduate finds a position as a sales manager earning an annual salary of \$26,000.... |
# Foot of a $10 \mathrm{~m}$ long ladder leaning against a vertical wall is $6 \mathrm{~m}$ away from the base of the wall. Find the height of the point on the wall where the top of the ladder reaches.
Given:
Foot of a $10 \mathrm{~m}$ long ladder leaning against a vertical wall is $6 \mathrm{~m}$ away from the base ... |
## Arc Length Calculator
An Arc Length Calculator is a mathematical tool used to calculate the length of an arc on a circle, given the measure of the central angle and the radius of the circle.
Desktop
Enter the radius of the circle and the central angle in degrees, then click the Calculate button.
Desktop
Desktop... |
Digital SAT Math Practice Questions – Medium : Linear inequalities in one or two variables
SAT MAth Practice questions – all topics
• Algebra Weightage: 35% Questions: 13-15
• Linear equations in one variable
• Linear equations in two variables
• Linear functions
• Systems of two linear equations in two variables
• ... |
Question Video: Comparing Fractions with Negative Signs | Nagwa Question Video: Comparing Fractions with Negative Signs | Nagwa
Question Video: Comparing Fractions with Negative Signs Mathematics • First Year of Preparatory School
Join Nagwa Classes
Which of the following is true? [A] −3/5 = −7/9 [B] −3/5 > −7/9 [C]... |
# Difference between revisions of "2001 AMC 10 Problems/Problem 20"
## Problem
A regular octagon is formed by cutting an isosceles right triangle from each of the corners of a square with sides of length $2000$. What is the length of each side of the octagon?
$\textbf{(A)} \frac{1}{3}(2000) \qquad \textbf{(B)} {2000... |
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Introduction
Identical good tomatoes are pla... |
# Area of the Rectangle
The shaded rectangle is tangent to the circle at the two points indicated, and its bottom right corner lies on the circumference of that circle. What is the area of the rectangle?
#### Click to reveal solution
72
Like with many geometry problems, it is helpful to draw a few auxiliary lines:
... |
# Secant of an Angle – Formulas and Examples
The secant of an angle can be calculated by relating the sides of a right triangle. The secant is defined as the reciprocal function of the cosine, so it is equal to the length of the hypotenuse over the length of the adjacent side. The secant of the most important angles a... |
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# Factors of 5
Reviewed by:
Last updated date: 02nd Aug 2024
Total views: 132.9k
Views today: 2.32k
## Factors of 5: An Introduction
A factor in mathematics is a divisor of a given number that divides it precisely with no remainder. To determin... |
Lesson Video: Dividing Decimals by Powers of Ten | Nagwa Lesson Video: Dividing Decimals by Powers of Ten | Nagwa
# Lesson Video: Dividing Decimals by Powers of Ten Mathematics • 5th Grade
In this video, we will learn how to use patterns to investigate the effects of dividing numbers by increasing and decreasing powe... |
# Integral of Tan x
Last Updated : 06 Mar, 2024
Integral of tan x is ln |sec x| + C. Integral of tan x refers to finding the integration of the trigonometric function tan x with respect to x which can be mathematically formulated as ∫tan x dx. The tangent function, tan x, is an integrable trigonometric function tha... |
# How do you find the integral for (x)/(sqrt(1+2x))dx?
Apr 1, 2015
I would probably use parts, but since this is asked in Integration by substitution, I'll do it that way.
$\int \frac{x}{\sqrt{1 + 2 x}} \mathrm{dx}$
Let $u = 1 + 2 x$. This makes $\mathrm{du} = 2 \mathrm{dx}$ and $\mathrm{dx} = \frac{1}{2} \mathrm{d... |
# High School: Number and Quantity
### The Complex Number System HSN-CN.A.1
1. Know there is a complex number i such that i2 = -1, and every complex number as the form a + bi with a and b real.
It's a little-known fact that in Disney World, in the Journey into the Imagination Pavilion, lives a purple dragon named Fi... |
# Difference between revisions of "2012 AMC 12A Problems/Problem 24"
## Problem
Let $\{a_k\}_{k=1}^{2011}$ be the sequence of real numbers defined by $a_1=0.201,$ $a_2=(0.2011)^{a_1},$ $a_3=(0.20101)^{a_2},$ $a_4=(0.201011)^{a_3}$, and in general,
$$a_k=\begin{cases}(0.\underbrace{20101\cdots 0101}_{k+2\text{ digits... |
# How do you solve abs(8x-10)>=6?
May 8, 2017
See a solution process below:
#### Explanation:
The absolute value function takes any negative or positive term and transforms it to its positive form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
$... |
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# What is the greatest common factor of 33 and 43?
## What is the greatest common factor of 33 and 43?
As you can see when you list out the factors of each number, 1 is the greatest number that 33 and 43 divides into.
What is the greatest common factor of 46 and 33?
As you ca... |
Question
# A radio can tune over the frequency range of a portion of the MW broadcast band: (from $800\mathrm{kHz}$ to $1200\mathrm{kHz}$). If its LC circuit has an effective inductance of $200\mathrm{\mu H}$, what must be the range of its variable capacitor?
Open in App
Solution
## Step 1: Given dataThe lower tunin... |
Lesson Explainer: Graphing Speed | Nagwa Lesson Explainer: Graphing Speed | Nagwa
# Lesson Explainer: Graphing Speed Physics • First Year of Secondary School
In this explainer, we will learn how to interpret graphs of distance and time and graphs of speed and time that represent the motion of objects.
A graph is a c... |
# What is 31/40 as a percentage?
All through our schooling years, we encounter fractions. Many questions involve solving a fraction as a percentage. For example, we may need to calculate 31/40 as a percentage.
Sometimes we need to express the given fraction in terms of percentage and you need to learn the steps for t... |
# How do you factor 2v^2-4-7v ?
Mar 1, 2017
$2 {v}^{2} - 4 - 7 v = \left(2 v + 1\right) \left(v - 4\right)$
#### Explanation:
First put in standard order of decreasing powers of $v$:
$2 {v}^{2} - 7 v - 4$
Next, use an AC method:
Find a pair of factors of $A C = 2 \cdot 4 = 8$ which differ by $B = 7$.
The pair $... |
# Probability and Statistics (Test 3)
## Problem Solving And Reasoning : Mathematics Or Quantitative Aptitude
| Home | | Problem Solving And Reasoning | | Mathematics Or Quantitative Aptitude | | Probability and Statistics |
Probability and Statistics
| Probability and Statistics |
Q.1
Directions: Study the given in... |
# 4100 in Words
4100 in words can be written as Four Thousand One Hundred. Students will be able to learn the conversion of 4100 in words which will help them understand the applications of numbers in our daily lives. If you buy a grinder for Rs. 4100, then you can say that “I have bought a grinder for Four Thousand O... |
# Into Math Grade 3 Module 9 Lesson 4 Answer Key Use Mental Math to Assess Reasonableness
We included HMH Into Math Grade 3 Answer Key PDF Module 9 Lesson 4 Use Mental Math to Assess Reasonableness to make students experts in learning maths.
## HMH Into Math Grade 3 Module 9 Lesson 4 Answer Key Use Mental Math to Ass... |
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# Notes | EduRev
## Class 10 : Notes | EduRev
The document Notes | EduRev is a part of the Class 10 Course Mathematics (Maths) Class 10.
All you need of Class 10 at this link: Class 10
Q.1. Find the nature of the roots of the following quadratic equations. If the real roots exist, find them;
(i) 2x2 – 3x + ... |
Time for Class 2 | Maths Olympiad
# Time
## Time - Class 2
• What is Time?
• Units of Time
• In this article, we will take a journey into the world of time, learn about clocks and discover how we measure moments.
## What is Time?
Time is an exciting concept that helps in our daily routine from waking up in the m... |
# NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry
NCERT Solutions for Class 10 Maths Chapter 7 Coordinate geometry is also called analytical or Cartesian geometry. It is a branch in mathematics where we can study geometry using coordinate points. This is mainly useful in locating a given point with th... |
# Is the equation 13x² + 13y² - 26x + 52y = -78 a line, parabola, ellipse, hyperbola, or circle?
Jul 25, 2018
No - it contains no real points.
#### Explanation:
Given:
$13 {x}^{2} + 13 {y}^{2} - 26 x + 52 y = - 78$
First note that all of the coefficients are divisible by $13$, so let's divide the whole equation ... |
1.
Introduction
2.
How to Find Number of Divisors of a Number?
3.
The sum of divisors of a number
4.
4.1.
How can you find the total no. of divisors of a number?
4.2.
What is the multiplicative identity?
4.3.
How do you find the number of odd divisors of a number?
4.4.
How do you find the number of odd divisors of a nu... |
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
It is currently 28 May 2017, 10:12
### 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 Dail... |
Question
1. # What Is The First Step When Constructing An Angle Bisector Using Only A Compass And A Straightedge?
Constructing an angle bisector using only a compass and a straightedge is possible, and it is one of the most commonly used constructions in mathematics. Constructing an angle bisector involves drawing tw... |
# NCERT solution class 12 chapter 5 Three Dimensional Geometry exercise 5.2 mathematics part 2
## EXERCISE 5.2
#### Question 1:
Show that the three lines with direction cosines
are mutually perpendicular.
Two lines with direction cosines, l1m1n1 and l2m2n2, are perpendicular to each other, if l1l2 + m1m2 + n1n2 = ... |
# Lesson 1
Angles and Steepness
## 1.1: Ratios Galore (5 minutes)
### Warm-up
In the previous unit, students studied similar triangles and used the properties of rigid transformations and dilations to establish that in similar triangles:
• All pairs of corresponding angles are congruent.
• Lengths of all pairs of ... |
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# (a) A person is suffering from hypermetropia. The near point of the person is $1.5m$. Calculate the focal length of the convex lens used in his spectacles. Assume the near point of the normal eye is $25cm$.(b)What do you mean by the term range o... |
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# How to Write a C Program to Check if Three Values Can Form a Triangle
write a C program that reads three floating-point values and checks if is possible to make a triangle with them. determine the perimeter of triangle... |
# CBSE Class 8 Math, Mensuration
Class VIII Math
Notes for Mensuration
STANDARD UMTS OF VOLUME
1 dm = 10 cm
1 dm3 or litre = 1 dm × 1 dm × 1 dm = (10 × 10 × 10) cm3 = 1000 cm3
1 cm = 10 mm
1m =100 cm
1m3 = (100 × 100 × 100) cm3 = 1000000 cm3
1 m3 = 1000 × 1000 cm3 = 1000 litre
1 kilolitre = 1m3 = 1000 litre
(mm) milli... |
# Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. Perhaps most familiar as a property of arithmetic, e.g. "3 + 4 = 4 + 3" or "2 × 5... |
Construct a 2 x 2 matrix $$A = [ a_{ij} ]$$, whose elements are given by $$a_{ij}$$ is $$\large\frac{( \hat i + \hat j )^2}{2}$$
Toolbox:
• The number or functions occurring in the rectangular array are called the elements of the matrix or entries of the matrix. The element of the matrix is given by ith row and jth co... |
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# How to Multiply Two Digit by Two Digit Numbers (Using the Count to 99 on Your Fingers Method)
Community Q&A
This method will allow you to multiply two digit numbers without using more than one line. If you do not know how to count to 99 on your fingers, use the wikihow link below.
## Steps
1. 1
Writ... |
## Probability
A measure of the likelihood that a specific event will occur is the probability of that event. Before determining the probability of an event, students must be able to find the total number of possible outcomes. The total number of possible outcomes can be found by making an organized list, by making a ... |
NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers Ex 3.6
# NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers Ex 3.6
NCERT Solutions for Class 6 Maths Chapter 3 Playing with Numbers Ex 3.6 are the part of NCERT Solutions for Class 6 Maths (Rationalised Contents). Here you can find the NCE... |
# wikiHow to Find the Determinant of a 3X3 Matrix
The determinant of a matrix is frequently used in calculus, linear algebra, and higher level geometry. Outside the academic world, engineers and computer graphics programmers use matrices and their determinants all the time.[1] To find the determinant of a 3x3 matrix, ... |
# 4.06 Graphs and characteristics of cube root functions
Lesson
The basic cube root function has the form $y=\sqrt[3]{x}$y=3x
Originally the cube root was defined as the side length of a cube whose volume was $x$x, as shown in the diagram.
Thus we have $\sqrt[3]{x}\times\sqrt[3]{x}\times\sqrt[3]{x}=x$3x×3x×3x=x.
T... |
# Give me the answers to my math problems
Give me the answers to my math problems can be found online or in mathematical textbooks. We can help me with math work.
## The Best Give me the answers to my math problems
One tool that can be used is Give me the answers to my math problems. This method can be used to solve... |
Q:
# An intelligence test that has a maximum completion time of 45 minutes was recently administered to a group of 9 people. Their respective completion times (in minutes) were as follows: 45, 40, 42, 39, 44, 40, 45, 33, 31 / 25 to Excel (a) What is the mean of this data set? If your answer is not an integer, round yo... |
## Want to keep learning?
This content is taken from the UNSW Sydney's online course, Maths for Humans: Linear, Quadratic & Inverse Relations. Join the course to learn more.
2.21
## UNSW Sydney
How high the ball?
# Vertices, axes and maximum values
How high does a basketball go? Because of the ubiquity of quadrati... |
2016 AMC 10A Problems/Problem 1
Problem
What is the value of $\dfrac{11!-10!}{9!}$?
$\textbf{(A)}\ 99\qquad\textbf{(B)}\ 100\qquad\textbf{(C)}\ 110\qquad\textbf{(D)}\ 121\qquad\textbf{(E)}\ 132$
Solution 1
We can use subtraction of fractions to get $$\frac{11!-10!}{9!} = \frac{11!}{9!} - \frac{10!}{9!} = 110 -10 =... |
# How do you find (dy)/(dx) given x^2+y^2=1?
Oct 11, 2016
$\frac{\mathrm{dy}}{\mathrm{dx}} = - \frac{x}{y}$
#### Explanation:
${x}^{2} + {y}^{2} = 1$
Differentiate wrt $x$:
$\frac{d}{\mathrm{dx}} {x}^{2} + \frac{d}{\mathrm{dx}} {y}^{2} = \frac{d}{\mathrm{dx}} 1$
We already know how to deal with the first and thir... |
# How to Convert Decimals to Fractions for Math Problems
By Sandy Fleming
Jupiterimages/Photos.com/Getty Images
Decimals and fractions both represent portions of the whole. In fact, every decimal has a matching fraction name and every fraction has a matching decimal name. When decimal numbers are read correctly, the ... |
# Absolute Value of an Integer
Absolute value of an integer is its numerical value without taking the sign into consideration.
The absolute values of -9 = 9; the absolute value of 5 = 5 and so on.
The symbol used to denote the absolute value is, two vertical lines (| |), one on either side of an integer.
Therefore,... |
# Descriptive and Inferential Statistics – A Comprehensive Guide For 2021
## Introduction
A branch of mathematics, statistics, deals with the collection of data, its analysis and interpretation, and the ways of presenting numerical data. Statistics basically is a collection of data that is quantitative in nature. The... |
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