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#### Please solve RD Sharma class 12 chapter Increasing and Decreasing Functions exercise 16.2 question 25 maths textbook solution
$f(x) \text { is increasing on } (-\frac{\pi }{3},\frac{\pi }{3})$
Given:
$f(x)=-\frac{x}{2}+sin\: x$
To prove:
$\text { We have to determine whether } f(x) \text { is increasing or de... |
Cosine + sine - math problems
Number of problems found: 99
• Angles by cosine law
Calculate the size of the angles of the triangle ABC, if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem).
• Sin cos tan
In triangle ABC, right-angled at B. Sides/AB/=7cm, /BC/=5cm, /AC/=8.6cm. Find to two ... |
# Find dydx, if y = xxx - Mathematics and Statistics
Sum
Find ("d"y)/("d"x), if y = x^(x^x)
#### Solution
y = x^(x^x)
Taking logarithm of both sides, we get
log y = log x^(x^x)
∴ log y = xx log x
Differentiating both sides w.r.t. x, we get
"d"/("d"x)(log y) = x^x*"d"/("d"x)(log x) + logx*"d"/("d"x)(x^x)
∴ 1/y... |
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Paul's Online Notes
Home / Calculus I / Extras / Area and Volume Formulas
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# Greta uses 3 ounces of pasta to make 3/4 of a serving of pasta. How many ounces of pasta are there per serving?
May 3, 2018
4 ounces, and here's why:
#### Explanation:
We're given a ratio of ounces to servings; 3 ounces of pasta is 3/4 of a serving. If we write this out as an algebra equation:
$\frac{3}{4} S = 3... |
## Tuesday, December 29, 2020
### Completing the square
For all quadratic expressions, that is, of the form $ax^2 + bx + c$, which we'll call canonical forms, there exists an identical expression of the form $a(x + p)^2 + q$, which we'll call completed square forms. For example, $3x^2 + 12x + 27 \equiv 3(x + 2)^2 + 1... |
Find The Equation Of A Line Perpendicular To Pdf Through E NCRT Class 11 Mathematics Solutions Chapter 10 Straight
Ixl is easy online learning designed for busy parents. Enter the line equation and the coordinates of a point by which the line passes through, in the input field.
[4] find the acute angle between the li... |
Chapter 7 Alligator Math
Chapter 7 Alligator Math
Chomp Chomp to Find the Bigger Number
Who knew that an alligator could be so helpful in math??? Well since we have learned how to count and model all kinds of numbers it is time to compare them and the alligator is going to be our helper in this process. This chapter ... |
One-Step Equations: Multiplication Problems with Fractions
SOLVING ONE STEP EQUATIONS
In this video we will be looking at how to solve equations which involve multiplying by a fraction, using the Multiplicative Inverse Property.
One-Step Equations: Multiplication Problems with Fractions
We have looked at multiplyin... |
# SSC CPO Quantitative Aptitude Quiz 12
5 Steps - 3 Clicks
# SSC CPO Quantitative Aptitude Quiz 12
### Introduction
What is Quantitative Aptitude test?
Quantitative Aptitude is one of the prominent competitive aptitude subjects which evaluates numerical ability and problem solving skills of candidates. This test fo... |
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# Exponential Properties Involving Quotients
## Subtract exponents to divide exponents by other exponents
%
Progress
Practice Exponential Properties Involving Quotients
Progress
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Recognize and Apply the Power of a Quotient Property
Have you ever been in a... |
# An explanation of fast power and matrix fast Power algorithm for integer
Source: Internet
Author: User
In case the link fails to lose such a good blog, so copy one to prevent loss.
Explanation of Matrix Fast Power Foundation
1. Basic Knowledge Reserve Chapter
The related operations of matrices are then learned i... |
# Chain, Product and Quotient Rule: Summary
by Batool Akmal
(1)
My Notes
• Required.
Learning Material 2
• PDF
DLM Quotient Rule, Chain Rule and Product Rule Calculus Akmal.pdf
• PDF
Report mistake
Transcript
00:01 So there we have it, the three rules, and examples and their proofs.
00:06 So hopefully we're fully c... |
Class 9 NCERT Math Solution
TOPICS
Unit-15(Examples)
Example-1 :- A coin is tossed 1000 times with the following frequencies:
Head : 455, Tail : 545
Compute the probability for each event.
Solution :-
``` Since the coin is tossed = 1000 times,
The total number of trials = 1000.
Let H = Event of outcomes Head, T ... |
# NCERT Exemplar solutions for Mathematics Class 9 chapter 9 - Areas of Parallelograms & Triangles [Latest edition]
## Solutions for Chapter 9: Areas of Parallelograms & Triangles
Below listed, you can find solutions for Chapter 9 of CBSE NCERT Exemplar for Mathematics Class 9.
Exercise 9.1Exercise 9.2Exercise 9.3Ex... |
# How do you differentiate f(x)= (2x+1)(4-x^2)(1+x^2) using the product rule?
Jul 21, 2016
$d f \left(x\right) = \left[2 \left(4 - {x}^{2}\right) \left(1 + {x}^{2}\right) - 2 x \left(2 x + 1\right) \left(1 + {x}^{2}\right) + 2 x \left(2 x + 1\right) \left(4 - {x}^{2}\right)\right] d x$
#### Explanation:
$y = a \cd... |
# Math Snap
## Which of the following is equivalent to the expression $1,000(16)^{\left(\frac{1}{4}\right)(t+2)}$ ? $16,000^{\left(\frac{1}{4}\right)(t+2)}$ $4000(2)^{t}$ $4000^{t+2}$ $2000(4)^{t}$
#### STEP 1
Assumptions 1. We are given the expression $1,000(16)^{\left(\frac{1}{4}\right)(t+2)}$. 2. We need to find ... |
# Section 4 - derivatives
```Section 3-1 : The Definition Of The Derivative
In the first section of the Limits chapter we saw that the computation of the
slope of a tangent line, the instantaneous rate of change of a function, and
the instantaneous velocity of an object at x=ax=a all required us to compute
the followi... |
# 4.4: Random Numbers
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand{\kernel}{\mathrm{null}\,}\) $$\newcommand... |
# ps3sol[1] - 1/111 – 1 = 8.41 To find the FV of the first...
This preview shows pages 1–2. Sign up to view the full content.
Problem Set #3 – Solutions 1. The simple interest per year is: \$5,000 × .06 = \$300 So after 10 years you will have: \$300 × 10 = \$3,000 in interest. The total balance will be \$5,000 + 3,00... |
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# Exponential Functions PowerPoint PPT Presentation
Exponential Functions. The exponential function f with base b is defined by f (x) = b x or y = b x Where b is a positive constant other than and x is any real number. /. Base is 2. Base is 10. Base is 3... |
# 2014 UNC) Math Contest II Problems
Twenty-second Annual UNC Math Contest Final Round January 25, 2014 Three hours; no electronic devices. Show your work and justify your answers. Clearer presentations will earn higher rank. We hope you enjoy thinking about these problems, but you are not expected to do them all.
Yo... |
# Factorial of a Number using Loop in C++
## Factorial of a Number using Loop in C++
In this article, I am going to discuss the Program to Print Factorial of a Number using Loop in C++ with Examples. Please read our previous articles, where we discussed the Sum of N natural numbers using loop in C++ with Examples.
#... |
## Geometry: Common Core (15th Edition)
$x = 3$
We know that the three interior angles of a triangle equal $180^{\circ}$. Let us set up the equation to add the three angles together. One angle measures $20x + 10$, the second measures $x - 20$, and the third measures $x + 25$: $(20x + 10) + (30x - 2) + (7x + 1) = 180$ ... |
Scire ad trascendere - Learn to transcend.
Topics covered:
• Relations
• Indirect proof
## Relations
• Cartesian product
The Cartesian product of $A$ and $B$ (denoted by $A \times B$) is
Note: $A$ and $B$ must be sets!
If $\lvert A\rvert =m$, $\lvert B \rvert =n$, then $\lvert A \times B \rvert = m \times n$. $\... |
# Solve Systems of Equations by Elimination
## Presentation on theme: "Solve Systems of Equations by Elimination"— Presentation transcript:
Solve Systems of Equations by Elimination
Methods to Solve Systems of Equations:
Graphing (y = mx + b) Substitution Graphing with x- and y- intercepts. Remember, to Solve a Syst... |
# Suppose T_4(x) = 7-3(x-2)+7(x-2)^2-6(x-2)^2+8(x-2)^4 is the degree 4 Taylor polynomial centered at x=2 for some function f, how do you estimate the value of f'(1.9)?
##### 1 Answer
Aug 25, 2017
Depending on the final details in your approximation method, you could either say $f ' \left(1.9\right) \approx - 4.612$ (... |
Categories:
## NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Ex 11.2
NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Exercise 11.2
Ex 11.2 Class 7 Maths Question 1.
Find the area of each of the following parallelograms:
Solution:
(a) Area of the parallelogram
= base × altitude = 7 c... |
# Help me accelerate linear recurrence relation!
## Background
A linear recurrence relation is a description of a sequence, defined as one or more initial terms and a linear formula on last $$\k\$$ terms to calculate the next term. (For the sake of simplicity, we only consider homogeneous relations, i.e. the ones wit... |
# 2.1 Use a General Strategy to Solve Linear Equations
Topics covered in this section are:
## 2.1.1 Solve Linear Equations Using a General Strategy
Solving an equation is like discovering the answer to a puzzle. The purpose in solving an equation is to find the value or values of the variable that makes it a true st... |
# Class 7 – Ch- 2 Fractions And Decimals
## Exercise 2.1
1. Solve:
(i) 2 – (3/5)
Solution:-
For subtraction of two unlike fractions, first change them to the like fractions.
LCM of 1, 5 = 5
Now, let us change each of the given fraction into an equivalent fraction having 5 as the denominator.
= [(2/1) × (5/5)] =... |
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# Conversions of Length, Mass, Capacity in Metric Units
## Determine equivalent units of metric measurement for length, mass and capacity.
Estimated16 minsto complete
%
Progress
Practic... |
# 10/1 Decimal Conversion
10/1 as a decimal is a significant conversion that one should know. It is crucial in understanding mathematical concepts and solving equations related to ratios, proportions, and percentages. Converting 10/1 to a decimal is a simple calculation that offers accuracy and simplicity in mathemati... |
# How do you write the equation of a line in slope intercept, point slope and standard form given (3, -2) and (-2, 3)?
Jun 11, 2018
$\text{1. Point - Slope form of equation is } y + 2 = - \left(x - 3\right)$
$\text{2. Slope - intercept form is } y = - x + 1$
$3. \text{Standard form is } x = y = 1$
#### Explanation... |
# How do you simplify (x-3)(2x-5)-(x+1)(x-6)?
Oct 21, 2017
${x}^{2} - 6 x + 21$
#### Explanation:
You can expend the expression.
$\left(x - 3\right) \left(2 x - 5\right) - \left(x + 1\right) \left(x - 6\right)$
$= \left(x\right) \left(2 x\right) + \left(x\right) \left(- 5\right) - 3 \left(2 x\right) - 3 \left(- ... |
Parallelogram facts for kids
Kids Encyclopedia Facts
A parallelogram is a polygon with four sides (a quadrilateral). It has two pairs of parallel sides (sides which never meet) and four edges. The opposite sides of a parallelogram have the same length (they are equally long). The word "parallelogram" comes from the G... |
## How To Multiply Faster Than A Calculator
I’m sorry to tell you that you’ve been duped! I didn’t want to be the one to inform you that nobody can multiply faster than a calculator. It just isn’t possible. I’ve misled you. However, those of you who did not take my title literally, I do have good news.
Consider the f... |
# Permutations and Combinations Questions
FACTS AND FORMULAE FOR PERMUTATIONS AND COMBINATIONS QUESTIONS
1. Factorial Notation: Let n be a positive integer. Then, factorial n, denoted n! is defined as: n!=n(n - 1)(n - 2) ... 3.2.1.
Examples : We define 0! = 1.
4! = (4 x 3 x 2 x 1) = 24.
5! = (5 x 4 x 3 x 2... |
# High School Math : How to solve one-step equations with fractions in pre-algebra
## Example Questions
### Example Question #1 : How To Solve One Step Equations With Fractions In Pre Algebra
Solve for .
Explanation:
Perform the same operation on both sides of the equation.
It will be easier to write the right si... |
Math Goodies is a free math help portal for students, teachers, and parents.
|
Interactive Math Goodies Software
Integer Addition Unit 5 > Lesson 4 of 11
Problem: George owes his friend Jeanne \$3. If he borrows another \$6, how much will he owe her altogether? Solution: This problem is quite simple: just add \$3 a... |
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# 1. - PowerPoint PPT Presentation
1. Review: What are Factors?. 1. Factors come in pairs and divide a bigger number evenly without a remainder Examples: Factors of 12: 1, 12 2, 6 3, 4 Factors of 30: 1, 30 2, 15 3, 10 5, 6 We can use factor trees, always check 1 through 9 until you get repeats.
I am the ow... |
Q:
# A student wants to know how far above the ground the top of a leaning flagpole is. At high noon, when the sun is almost directly overhead, the shadow cast by the pole is 6 ft long. The student holds a plumb bob with a string 3 ft long up to the flagpole and determines that the point of the plumb bob touches the... |
The vertex of a parabola can tell us the extreme value (local maximum or minimum) of a parabola, along with the line of symmetry of the curve. However, we still need to know how to find the vertex in a variety of situations.
So, how do you find the vertex of a parabola? To find the vertex of a parabola, you can use th... |
Posted on
09
Feb 2021
## Triangle Inequality Rule
By: Rich Zwelling, Apex GMAT Instructor
Date: 9th February, 2021
One of the less-common but still need-to-know rules tested on the GMAT is the “triangle inequality” rule, which allows you to draw conclusions about the length of the third side of a triangle given info... |
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# For the curve $$y = 4x^3 – 2x^5$$, find all the points at which the tangent passes through the origin.
$\begin{array}{1 1} (A)\;(0,0),(1,-2),(-1,2) \\ (B)\;(0,0),(-1,-2),(1,2)\\ (C)\;(0,0),(1,2),(-1,2) \\ (D)\;(0,0),(1,-2) \end{array}$
Comment
A)
Toolbox:
• Equation of the tangent at $(x_1,y_1)$ w... |
Back Home
Q: Why is the integral/antiderivative the area under a function?
Physicist: If you’ve taken calculus, then at some point you learned that to find the area under a function (generally written ) you need to find the anti-derivative of that function. The most natural response to these types of theorems is “wait... |
Who Wants Pizza? - Part 5
The last time that Ms. Martinez ordered pizza, there was 2/3 of a pizza left. Bobby came in and ate 1/2 of what was left. The other children were mad that Bobby ate 1/2 of it. Bobby said, "I only ate 2 pieces." Was he right? If there were12 pieces in a whole pizza, how many pieces did he eat... |
Check it out!
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# Check it out! - PowerPoint PPT Presentation
Check it out!. A top fuel dragster (a car built for drag racing) can travel
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
## PowerPoint Slideshow about 'Check it out!' - skip
Download Polic... |
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Five Number Summary
Quartiles or medians and the minimum and maximum values.
Estimated7 minsto complete
%
Progress
Practice Five Number Summary
Progress
Estimated7 minsto complete
%
Fiv... |
Simplification & Approximation Tips & Tricks
The Quantitative Aptitude section of the Bank exam consists of questions such as Simplification, Number Series, Permutation & Combination, Quadratic Equation, Data Interpretation, Data Analysis and other Miscellaneous questions.
There are almost 10 to 12 questions in the ... |
# 数学代写|微积分代写Calculus代写|MAST10006
## 数学代写|微积分代写Calculus代写|Vertical tangents
There is yet one more feature on a graph that can indicate nondifferentiability.
Example 6 Let $f(x)=x^{1 / 3}$. Find $f^{\prime}(0)$.
Solution We use the derivative formula with $k=0$ :
\begin{aligned} f^{\prime}(0) &=\frac{f(0+\alpha)-f(0)}{... |
## Engage NY Eureka Math 4th Grade Module 5 Lesson 40 Answer Key
### Eureka Math Grade 4 Module 5 Lesson 40 Problem Set Answer Key
Question 1.
The chart to the right shows the height of some football players.
Player Height (in feet) A 6$$\frac{1}{4}$$ B 5$$\frac{7}{8}$$ C 6$$\frac{1}{2}$$ D 6$$\frac{1}{4}$$ E 6$$\f... |
# What Is A Unit Fraction?
What Is A Unit Fraction:
A unit fraction is a number that can be expressed as a proper fraction with one whole, and the denominator is 1.
e.g:- ½ = 2/4, ¼ = 4/9, ⅛ = 8/9, etc.
The definition of a unit fraction tells us that it can be expressed in terms of its numerator divided by its deno... |
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# Horizontal and Vertical Line Graphs
## Line y = # is parallel to x-axis and line x = # is parallel to y-axis... |
# Difference between revisions of "2013 AMC 12B Problems/Problem 17"
## Problem
Let $a,b,$ and $c$ be real numbers such that
$$a+b+c=2, \text{ and}$$ $$a^2+b^2+c^2=12$$
What is the difference between the maximum and minimum possible values of $c$?
$\text{(A) }2\qquad \text{ (B) }\frac{10}{3}\qquad \text{ (C) }4 \q... |
# Michigan - Grade 1 - Math - Numbers and Operations in Base Ten - Comparing Numbers - 1.NBT.3
### Description
Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.
• State - Michigan
• Standard ID - 1.NBT.3
• Subjects - Math C... |
# Mathematical Induction
Mathematical Induction
Mathematical Induction – Meaning
In general, the word Induction means the generalisation from particular cases or facts. In Mathematics, there are certain results or statements that are formulated in terms of n, where n is a positive integer. We may prove such general ... |
Math Train
# Number Friends
In this lesson, children will learn to count and recognize the number of objects in a set, match numbers to quantities and practice simple addition
30-45 min.
PreK-K
## Connect
• Gather the children around the train set and show them two train cars with different quantities of bricks lo... |
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# Graphing y = nx2 Lesson 5.4.1.
## Presentation on theme: "Graphing y = nx2 Lesson 5.4.1."— Presentation transcript:
Graphing y = nx2 Lesson 5.4.1
Graphing y = nx2 5.4.1 California Standards: What it means for you:
Lesson 5.4.1 Graphing y = nx2 California Standards: Algebra an... |
Apps can be a great way to help students with their algebra. Let's try the best Quick check math answers. Our website can help me with math work.
## The Best Quick check math answers
Quick check math answers can support pupils to understand the material and improve their grades. Online math graphing calculators are a... |
## Cell Division
How quickly does a chick embryo grow? Remember that the way any embryo develops is by repeated cell division. It starts off as a single cell which spilts into two. Each of those two cells then splits into two, and so on. We have illustrated this schematically with a square box representing the initial... |
# Terminating Decimal Definition
Those decimals that have a finite, limited, or known number of digits after the decimal point are called Terminating Decimals. For Example, 3.14, 2.578, and 1.987 are terminating decimals because all of these have limited numbers after the Decimal Point.
Such decimals are used to repr... |
# Finding the Volume and Surface Area of a Cube
### Learning Outcomes
• Find the volume and surface area of a cube
A cube is a rectangular solid whose length, width, and height are equal. See Volume and Surface Area of a Cube, below. Substituting, s for the length, width and height into the formulas for volume and s... |
# Common denominator of 2/3+10/15?
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
1
Feb 14, 2017
$\frac{4}{3}$ or $1 \frac{1}{3}$
#### Explanation:
$\frac{2}{3} + \frac{10}{15}$
$\t... |
# What is 44 factorial ?
Steps to calculate factorial of 44
## How to calculate the factorial of 44
To find 44 factorial, or 44!, simply use the formula that multiplies the number 44 by all positive whole numbers less than it.
Let's look at how to calculate the Factorial of Forty-four :
44! is exactly : 2658271574... |
# 4th Class Mathematics Fractions and Decimals Comparison of Fraction
## Comparison of Fraction
Category : 4th Class
### Comparison of Fraction
Comparison of Like Fractions
Let$\frac{p}{q}$and$\frac{r}{q}$are like fractions.
If p is greater than $q,\frac{p}{q}>\frac{r}{q}$
Compare between$\frac{\mathbf{7}}{\math... |
# A sum of money is to be divided among A,Band C in the ratio 2:3:5.The smallest share amounts to \$600.Calculate the total sum of money to be shared.
## To find the total sum of money to be shared, we need to determine the value of the smallest share in the given ratio.
Let's assume the smallest share is represented... |
4 Dynamics: Force and Newton’s Laws of Motion
# 28 4.7 Further Applications of Newton’s Laws of Motion
### Summary
• Apply problem-solving techniques to solve for quantities in more complex systems of forces.
• Integrate concepts from kinematics to solve problems using Newton’s laws of motion.
There are many intere... |
## Engage NY Eureka Math 2nd Grade Module 1 Lesson 4 Answer Key
### Eureka Math Grade 2 Module 1 Lesson 4 Problem Set Answer Key
Solve.
Question 1.
9 + 3 = _12___
9 + 3= 12,
Explanation:
Adding 9 to 3 we will get 12.
Question 2.
9 + 5 = _14___
9 + 5 = 14,
Explanation:
Adding 9 to 5 we will get 14.
Question 3.
8 ... |
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Find the HCF by successive division method: 567, 621, 675.
Last updated date: 18th Jun 2024
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Hint: We will first understand the concept of successive division method which is given as i... |
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# 7.4: AA Similarity
Difficulty Level: At Grade Created by: CK-12
Estimated7 minsto complete
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Practice AA Similarity
MEMORY METER
This indicates how strong in your memory this... |
Home » Using the answer in (b)(i), solve the system of equations
# Using the answer in (b)(i), solve the system of equations
(a) Differentiate (frac{x^{2} + 1}{(x + 1)^{2}}) with respect to x.
(b)(i) Evaluate (begin{vmatrix} 1 & 2 & -1 \ 2 & 3 & -1 \ -1 & 1 & 3 end{vmatrix}).
(ii) Using the answer in (b)(i), solve ... |
# Continuity And Differentiability
Continuity and Differentiability is one of the most important topics which help students to understand the concepts like, continuity at a point, continuity on an interval, derivative of functions and many more. However, continuity and Differentiability of functional parameters are ... |
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# What Are The Prime Factors Of 18
What are the prime factors of 18? Answer: 2, 3
The number 18 has 2 prime factors. Primes can only have two factors(1 and itself) and only be divisible by those two factors. Any figure where this rule applies can be called a prime f... |
# How do you graph the equation y-8=-x?
Mar 30, 2018
$\text{see explanation}$
#### Explanation:
$\text{one way is to find the intercepts, that is where the}$
$\text{graph crosses the x and y axes}$
• " let x = 0, in the equation for y-intercept"
• " let y = 0, in the equation for x-intercept"
$x = 0 \Rightarrow ... |
# Types of Number Systems
Today in this article we will discuss about the types of number systems. The description of each number system will be given here.
Anything that refers to the measurement of things is known as number. The system of counting or expressing a number is called number system.
That means number s... |
Probability distribution
Chapter 13 Class 12 Probability (Term 2)
Concept wise
### Transcript
Ex 13.4, 9 The random variable X has a probability distribution P(X) of the following form, where k is some number : P(X) = ๐, ๐๐ ๐ฅ=0๏ทฎ2๐, ๐๐ ๐ฅ=1๏ทฎ3๐, ๐๐ ๐ฅ=2๏ทฎ0, ๐๐กโ๐๐๐... |
# Vedic Math Puzzle: Only 1% Of Genius Can Find The Product of The Two Digits Below With Vedic Sutra in 19 Seconds. Hurry Up!
## Vedic Math Puzzle: Vedic math involves learning mental calculation methods, shortcuts, and patterns to perform arithmetic operations, solve complex equations, and make calculations easier. T... |
# Project Euler 285
Problem 285 of Project Euler was released yesterday; it requires some geometry and probability sense.
The problem goes like this:
Albert chooses two real numbers a and b randomly between 0 and 1, and a positive integer k.
He plays a game with the following formula:
$k' = \sqrt{(ka+1)^2 + (kb+1)... |
# 6 is what percent of 612 - step by step solution
## Simple and best practice solution for 6 is what percent of 612. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.
If it's not what You are looking for type... |
# 11- 3D GEOMETRY
Here we are going through the ncert solutions for class 12 maths chapter 11– 3D geometry . so before going through the ncert solutions make sure to go through the textbook that helps you to understand the solutions more easily.
# EXERCISE 11.1
#### Question 1:
If a line makes angles 90°, 135°, 45°... |
Chapter 3 Class 10 Pair of Linear Equations in Two Variables
Class 10
Important Questions for Exam - Class 10
### Transcript
Example 8 The ratio of incomes of two persons is 9 : 7 and the ratio of their expenditures is 4 : 3. If each of them manages to save Rs.2000 per month, find their monthly incomes. Given that R... |
## Algebra: A Combined Approach (4th Edition)
Published by Pearson
# Chapter 5 - Section 5.4 - Adding and Subtracting Polynomials - Exercise Set: 12
#### Answer
$-\dfrac{1}{7}n^{2}+\dfrac{5}{12}m-\dfrac{7}{20}$
#### Work Step by Step
$\Big(-\dfrac{4}{7}n^{2}+\dfrac{5}{6}m-\dfrac{1}{20}\Big)+\Big(\dfrac{3}{7}n^{2}... |
# Boats and Streams
1. Downstream/Upstream:
In water, the direction along the stream is called downstream. And, the direction against the stream is called upstream.
2. If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:
Speed downstream = (u + v) km/hr.
Speed upstream = (... |
# A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 14 buyers are randomly selected, what is the probability that exactly 12 buyers would prefer green
The probability that exactly 12 buyers would prefer green
=0.00555
St... |
# For which values of $p$ are events $A$ and $B$ independent?
Flip a coin three times. Assume the probability of tails is $p$ and that successive flips are independent. Let $A$ be the event that we have exactly one tails among the first two coin flips and $B$ the event that we have exactly one tails among the last two... |
# How do you simplify (2v)^2*2v^2 and write it using only positive exponents?
Feb 8, 2017
See the entire simplification process below:
#### Explanation:
First, we will use these two rules for exponents to simplify the term on the left of this expression:
$a = {a}^{\textcolor{red}{1}}$
${\left({x}^{\textcolor{red}... |
# Week 13
## Topics
This is the second of three weeks devoted to elementary probability and statistics. This week, we will cover the second half of chapter 8.
• Section 8-3 : Conditional Probability, Intersection, and Independence
• Section 8-4 : Bayes' Formula
• Section 8-5 : Random Variable, Probability Distributi... |
# 2007 AMC 12A Problems/Problem 11
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
The following problem is from both the 2007 AMC 12A #11 and 2007 AMC 10A #22, so both problems redirect to this page.
## Problem
A finite sequence of three-digit integers has the property that the tens and u... |
# How to Write a Polynomial in Factored Form
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Next Video:
Writing a polynomial in factored form is something that you can do as X = 2X squared - 12X + 22. Write a polynomial in factored form with help from an experienced mathematics educator in this free video clip.
Part of the Video Series: Math Lessons
Promote... |
# Difference between revisions of "009A Sample Midterm 2, Problem 2"
The function ${\displaystyle f(x)=3x^{7}-8x+2}$ is a polynomial and therefore continuous everywhere.
(a) State the Intermediate Value Theorem.
(b) Use the Intermediate Value Theorem to show that ${\displaystyle f(x)}$ has a zero in the interval... |
# Chain Rule Integration – Definition and Examples
In this article, we’ll dive deep into the world of ‘Chain Rule Integration,’ illuminating its importance, mechanics, and the various techniques that hinge on its use.
Whether you’re a calculus newbie or an established mathematician looking for a refresher, this compr... |
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# THE INDUSTRIAL WIKI
RESEARCH CONTENT IN GREATER DETAIL
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# BASIC DC THEORY
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### Basic DC Circuit Calculations
Each type of DC circuit contains certain characteristics that determine the way its voltage and current behave. To begin analysis of the voltages and currents a... |
Factors the 320 room the perform of confident and an unfavorable whole numbers that can be separated evenly into 320. An adverse factors the 320 room just components with a an adverse sign. There space 14 factors of 320 in all. Among the 14 factors, 320 itself is the best factor. In this lesson, we will certainly discu... |
# Basic Geometry : How to find an angle of a line
## Example Questions
← Previous 1 3 4 5 6
### Example Question #1 : How To Find An Angle Of A Line
Examine the diagram. Which of these conditions does not prove that ?
and
Any of these statements can be used to prove that .
Explanation:
If and , then , since... |
10th Maths Chapter 2. Numbers And Sequences Exercise 2.2
10th Standard Maths Chapter 2 Exercise 2.2 Numbers And Sequences Guide Book Back Answers Solutions. TN 10th SSLC Samacheer Kalvi Guide. 10th All Subject Guide – Click Here. Class 1 to 12 All Subject Book Back Answers – Click Here
1. For what values of natural n... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
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# Mental Math to Solve Proportions
## Solve proportions by comparing numerators and denominators of equal frac... |
# Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
Question:
Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
$4 x^{2}-4 a^{2} x+\left(a^{4}-b^{4}\right)=0$
Solution:
The given equation is $4 x^{2}-4 a^{2} x+\le... |
# Multiplying polynomials
Multiplying polynomials with the following two good examples will help you master this topic once and for all. That is all you will need. It could be very useful though to review the multiplication of binomials
Example #1:
Multiply 4x3 + 2x + 5 by 3x4 + x + 6
(4x3 + 2x + 5) × (3x4 + x + 6)... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Instantaneous Rates of Change
## Derivative is the slope of the tangent line at a point.
0%
Progress
Practice Instantaneous Rates of Change
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Instantaneous Rate of Change
W... |
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