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# Fractions on the Praxis Core Math Test: Part Two
In the previous post, we discussed the basics of fractions as well as fraction addition and subtraction. As promised, in this post, we will discuss fraction multiplication and division. Have courage, friends! With study and practice, you can become a pro with fract... |
# Type in math problems for answers
Math can be a challenging subject for many students. But there is help available in the form of Type in math problems for answers. Keep reading to learn more!
## The Best Type in math problems for answers
Here, we debate how Type in math problems for answers can help students lear... |
Elementary Algebra
# 6.6Divide Polynomials
Elementary Algebra6.6 Divide Polynomials
## Learning Objectives
By the end of this section, you will be able to:
• Divide a polynomial by a monomial
• Divide a polynomial by a binomial
## Be Prepared 6.6
Before you get started, take this readiness quiz.
1. Add: $3d+xd.... |
Last updated:
# Root Calculator
What is a root in math?How to calculate the square rootCube root, fourth root, n-th rootExample: using the root calculatorFAQs
Welcome to the root calculator, where we'll go through the theory and practice of how to calculate the nth root of a number, also called the nth radical, toge... |
## 2.2 Trigonometric Functions
Sine is opposite over hypotenuse in a right triangle.
If the hypotenuse has length 1 then sin is the length of the opposite face of the triangle.
If the angle is small, the length of the opposite face with unit hypotenuse is close to but less than the distance between its sides around a... |
#### provide solution for RD Sharma maths class 12 chapter Indefinite Integrals exercise 18.9 question 14
Answer: $-2 \sqrt{\cos x}+\frac{2}{5}(\cos x)^{\frac{5}{2}}+c$
Hint: Use substitution method to solve this integral.
Given: $\int \frac{\sin ^{3} x}{\sqrt{\cos x}} d x$
Solution:
\begin{aligned} &\text { Let ... |
# Guest Post: Vedic Mathematics – Nikhilam Method of Multiplication Part 2
Sanjay Guilati (author) has been teaching computer and mathematics in Bhilai, state Chattisgarh in India for 15 years. Currently he is a teacher in a senior secondary school and he is also involved in teacher training. His online work can be ... |
# Aptitude - Volume and Surface Area
Exercise : Volume and Surface Area - General Questions
11.
The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
3 : 7
7 : 3
6 : 7
7 : 6
Explanation:
r2h = 924 r = 924 x 2 = 7 m. 2rh 264 264
And, 2rh = ... |
# Question Video: Finding the Speed of a Hammer after Hitting a Stationary Nail as well as the Velocity of the Nail Using Conservation of Momentum Mathematics
A builder is hammering nails into a wall. The hammer has a mass of 3.3 kg, and each nail has a mass of 308 g. Given that the hammer hits each stationary nail at... |
# If tan(theta) = 3/4 and sin(theta) < 0, how do you find cos(theta)?
May 5, 2017
#### Answer:
$- \frac{4}{5}$
#### Explanation:
Since $\tan \left(\theta\right) = \frac{3}{4} > 0$ and $\sin \left(\theta\right) < 0$, $\theta$ is in quadrant 3 (since $\tan \left(\theta\right) > 0$ iff $\theta$ is in quadrant 1 or 3 ... |
# Algebrarules.com
The most useful rules of basic algebra,
free, simple, & intuitively organized
X
Howdy! Here are a few very handy rules of algebra. These basic rules are useful for everything from figuring out your gas mileage to acing your next math test — or even solving equations from the far reaches of theoreti... |
• Problem
• Detailed Solution
• Summary Solution
### Determining parameters of a cost function
Find a third degree polynomial cost function
$C=C(x)= a{x^3} + b{x^2} + cx + d$
that has the following properties:
• fixed cost is 20 CHF
• minimal marginal cost is 0.3 CHF/qu
• marginal cost is minimal when the quantity... |
## Note on Binary Number System
• Note
• Things to remember
• Exercise
• Quiz
It is necessary to review the decimal number system at first to understand more about binary number system. Decimal number system refers to base 10 positional notation. It uses ten different symbols (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) arranged u... |
In this chapter we are going to discuss the following topics with examples.
1. Clocks – Basics
2. Types of problems
3. Formulas
4. Examples
### CLOCKS - BASICS
1. A clock has two hands, the smaller one is called the hour hand and the larger one is called minute hand.
2. Angle traced by minute hand in 1 hr = 360°.
3.... |
# How do you factor completely 18x^4+9x^3-20x^2?
${x}^{2} \left(6 x - 5\right) \left(3 x + 4\right)$
#### Explanation:
$18 {x}^{4} + 9 {x}^{3} - 20 {x}^{2}$
We can first factor out ${x}^{2}$ to get:
${x}^{2} \left(18 {x}^{2} + 9 x - 20\right)$
From here, we need to find factors for the terms within the brackets i... |
# Powers of i Calculator
Created by Anna Szczepanek, PhD
Reviewed by Rijk de Wet
Last updated: Jul 19, 2023
Welcome to the powers of i calculator, which can help you quickly determine an arbitrary power of the imaginary unit! Not sure what we're talking about? Scroll down and discover:
• What is the imaginary unit i... |
# Probability of Two Events Occurring Together
Share on
Probability and Statistics > Probability > Probability of Two Events occurring Together
Watch the video, or read the article below:
## Probability of Two Events Occurring Together: Overview
Answering probability questions can seem tricky, but they all really ... |
# Mean Median Mode Formula
In our day to day life, we often hear that the average height of students of class 10 is 5 ft. and 5 inches or the average marks of 12th Board exams were 75%, etc. But have you ever wondered how did this average get calculated? It is with the help of the Measures of Central Tendency. A Measu... |
2023 AMC 10B Problems/Problem 20
Problem
Four congruent semicircles are drawn on the surface of a sphere with radius $2$, as shown, creating a close curve that divides the surface into two congruent regions. The length of the curve is $\pi\sqrt{n}$. What is $n$?
$\textbf{(A) } 32 \qquad \textbf{(B) } 12 \qquad \text... |
Activity:
# Stack Coins for Integer Action!
4.5 based on 4 ratings
### What You Need:
• 10 pennies
• 10 nickels
• 3 penny-nickels (3 pennies stacked on 3 nickels)
• pencil
• paper
### What You Do:
Now that you've got adding integers covered, it's time to subtract!
1. Place 10 pennies and 10 nickels on the table.... |
# Solving 1-Step Equations 2 An Equation is Like a Balance.
## Presentation on theme: "Solving 1-Step Equations 2 An Equation is Like a Balance."— Presentation transcript:
Solving 1-Step Equations
2 An Equation is Like a Balance
22
22
1-Step Equations A 1-Step Equation is an equation with 1 variable and 1 math op... |
# 2.2 Linear equations in one variable (Page 7/15)
Page 7 / 15
Find the equation of the line parallel to $\text{\hspace{0.17em}}5x=7+y\text{\hspace{0.17em}}$ and passing through the point $\text{\hspace{0.17em}}\left(-1,-2\right).$
$y=5x+3$
## Finding the equation of a line perpendicular to a given line passing t... |
# 9 12 equivalent fractions
You can determine equivalent fractions by either multiplying or dividing both the numerator and denominator by the same numbers. For instance, I could divide both 9 and 12 by 3, giving me 3/4, which is an equivalent fraction to 9/12. 3/4 is also the simplified form of 9/12.
9/12 ÷ 3/3 = 3/... |
Arithmetic Division zero – Yes
How many ways can you divide six identical indivisible objects among six people?
It depends. If you want to do it equally, there is exactly one way:
everyone gets exactly one object. That is easy, but it isn’t the
complete answer. What if you want to divide them so that one person
doesn’... |
# 1.1: Independent Events
Difficulty Level: At Grade Created by: CK-12
Learning Objectives
• Know the definition and the notion for independent events.
• Use the rules for addition, multiplication, and complementation to solve for probabilities of particular events in finite sample spaces.
What’s in a Word?
The wo... |
# Retain two decimal places for decimal division calculations
### 7.8÷0.52 keep two decimal places?
Calculating vertically, 7.8 ÷ 0.5 = 780 ÷ 52.
Solution: When we calculate division operations, try to choose divisors and divisors that are both whole numbers. If there are decimals between the divisor and the divisor... |
Know more about the Repeaters Batch Know more about the Repeaters Batch
Methods of Differentiation
Geometrical Meaning of a Derivative: In calculus, derivative is the instantaneous rate of change of a function with respect to one of its variables. First principle of derivative well defined the derivative of a functio... |
USING OUR SERVICES YOU AGREE TO OUR USE OF COOKIES
# Is 38 A Prime Number?
• No the number 38 is not a prime number.
• Thirty-eight is a composite number. Because 38 has more divisors than 1 and itself.
## Prime Factorization Of 38
• Prime factors of number 38 are: 2, 19
• Equcation of 38 is: 2 * 19
• The smallest ... |
# Using the 30-60-90 triangle to find sine and cosine
Before, we can find the sine and cosine, we need to build our 30-60-90 degrees triangle. Start with an equilateral triangle with a side length of 4 like the one you see below.
Then, from one vertex, draw the line that is perpendicular to the side opposite the vert... |
# How do you find the arc length of the curve y = (3/2)x^(2/3) from [1,8]?
Jul 16, 2015
The arc length can be quickly derived by realizing that it's just the distance formula in combination with the derivative over some interval $\Delta x$. Thus:
$s \left(x\right) = {\sum}_{a}^{b} \sqrt{{\left(\Delta x\right)}^{2} ... |
# Problem of the Week Problem E and Solution Bilal’s Choices
## Problem
Bilal chooses two distinct positive integers. He adds the product of the integers to the sum of the integers, and then adds $$1$$. He finds that the result is equal to $$196$$.
Determine all possible pairs of integers that Bilal could have cho... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
You are viewing an older version of this Concept. Go to the latest version.
# Capacitors Circuits
## Circuits containing capacitors are easy to understand, take a closer look at them!
0... |
# How do I complete the square if f(x) = x^2 + 4x - 9?
Sep 13, 2014
We will begin by moving the constant value to the other side of the equation.
Next we will find a value to add to both sides of the equation. This value will create a perfect square trinomial which will greatly aid us in finding the solution to this... |
#### Transcript Slide 1
```Sampling distributions
BPS chapter 11
© 2006 W. H. Freeman and Company
Objectives (BPS chapter 11)
Sampling distributions
Parameter versus statistic
The law of large numbers
What is a sampling distribution?
The sampling distribution of
The central limit theorem
x
Reminder:
Para... |
# Video: Finding the Volume of a Sphere given the Diameter
What is the volume of a sphere whose diameter is 30?
02:48
### Video Transcript
What is the volume of a sphere whose diameter is 30?
We begin by recalling the key formula we need for calculating the volume of a sphere. It’s four-thirds 𝜋𝑟 cubed, where 𝑟... |
# Euclidean division
17 is divided into 3 groups of 5 with 2 left over. Here the dividend is 17, the divisor is 5, the quotient is 3, and the remainder is 2.
17 = 5 × 3 + 2
In arithmetic, the Euclidean division is the conventional process of division of two integers producing a quotient and a remainder. There is a th... |
# A party has 8 men and 4 women. In how many ways can they be seated around a round table so that all the women are together?
1. (8!)2
2. 11! × 4!
3. 8! × 4!
4. 9! × 4!
5. 9! × 5!
Option 3 : 8! × 4!
## Detailed Solution
Given: A party has 8 men and 4 women and they have to be seated around a round table so that all... |
# Aptitude Questions with Answers - Number Ranking And Time Sequence -1
## Aptitude Tests - Number Ranking and Time Sequence
The position of a object/person /thing etc, in a definite order is called as Rank
Position of the person from upward=( Total number of persons – Position of person from down)+1.
Example : Sud... |
# What are the all the solutions between 0 and 2π for sin2x-1=0?
Mar 7, 2016
$x = \frac{\pi}{4}$ or $x = \frac{5 \pi}{4}$
#### Explanation:
$\sin \left(2 x\right) - 1 = 0$
$\implies \sin \left(2 x\right) = 1$
$\sin \left(\theta\right) = 1$ if and only if $\theta = \frac{\pi}{2} + 2 n \pi$ for $n \in \mathbb{Z}$
... |
# CBSE NCERT Solutions for Class 8 Chapter 11
Chapter-wise, thorough solutions to the questions of the NCERT textbooks are provided with the aim of helping students compare their answers. Students are advised to practice the NCERT questions and solutions for class 8 on a regular basis to score well in their class 8 ex... |
# Find The Surface Area Of A Right Triangular Prism Formula Geometry for Beginners – How To Find the Surface Area and Volume of Prisms
You are searching about Find The Surface Area Of A Right Triangular Prism Formula, today we will share with you article about Find The Surface Area Of A Right Triangular Prism Formula ... |
# What is 55 divided by 159?
## What is 55 / 159? And how to solve it yourself using long division
55 divided by 159 = 0.35
Division is one of the fundamentals of arithmetic. For a general intro to division, check out this article. For calculating division yourself, it may also be worth it to check out our long divi... |
## How do you write a quadratic equation in vertex form?
Vertex Form of Quadratic Equation – MathBitsNotebook(A1 – CCSS Math) f (x) = a(x – h)2 + k, where (h, k) is the vertex of the parabola.
## WHAT IS A in vertex form?
The vertex form of a quadratic is given by. y = a(x – h)2 + k, where (h, k) is the vertex. The ... |
Revised 2021-02-21T12:31:27Z
What is the relation between the length of the space diagonal $$a$$ and the lengths of the edges $$x$$, $$y$$ and $$z$$ in a three-dimensional box?
Figure 1: Space diagonal $$a$$ in a box with sides $$x$$, $$y$$ and $$z$$.
If we draw the face diagonal $$b$$ for the rectangle defined by t... |
1. ## f(x)
Determine all polynomials$\displaystyle f(x)$
satisfying
$\displaystyle (x-243) f(3x) = 243 (x-1)f(x)$
for all $\displaystyle x$.
2. When $\displaystyle x=1$ the RHS = 0 so the LHS must be 0 as well; thus $\displaystyle f(3)=0.$
Substituting $\displaystyle x=3$ then gives RHS = 0 again, so LHS must be ... |
# Perpendicular Lines and its Application
Perpendicular lines are two intersecting lines that meet at right angle or exactly 90°. Let’s bring that line now to coordinate plane. In Analytical Geometry, two lines are perpendicular if the product of their slopes is equal to -1. This time we will practice how to solve pro... |
Sample Aptitude Questions of Capgemini
Views:249768
Aptitude questions form a part of the game-based section of Capgemini written test. These are based on the basic mathematical and reasoning concepts of puzzles, arithmetic operations, grids, etc. Aptitude section is a mix of moderate and slightly difficult questions.... |
# Cross-multiplication
In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.
The method is also occasionally known as the "cross your heart" me... |
# How do you factor 9x^2+24xy+16y^2?
Mar 17, 2018
$9 {x}^{2} + 24 x y + 16 {y}^{2} = {\left(3 x + 4 y\right)}^{2}$
#### Explanation:
Note that:
$9 {x}^{2} = {\left(3 x\right)}^{2}$
$24 x y = 2 \left(3 x\right) \left(4 y\right)$
$16 {y}^{2} = {\left(4 y\right)}^{2}$
So:
$9 {x}^{2} + 24 x y + 16 {y}^{2} = {\lef... |
# How do you factor the expression x^2 - 169?
Jan 10, 2016
$\left(x + 13\right) \left(x - 13\right)$
#### Explanation:
This is a difference of two squares so it factors as $\left(a - b\right) \left(a + b\right)$, where a and b are the square roots of the original expression. See proofs below.
Warning: Differences ... |
x = 25
Step-by-step explanation:
Those 2 angles together form a straight line which is equal to 180°. So you can set up an equation:
3x + 18 = 93
-18 -18
3x = 75
Divide both sides by 3
x = 25
## Related Questions
Which expression is equivalent to 6(2x+5y)
6(2x + 7y) = 6(2x) + 6(7y) = 12x + 42y
12x+42y is equi... |
Education.com
Try
Brainzy
Try
Plus
# Arcs and Triangles Help
(not rated)
By — McGraw-Hill Professional
Updated on Oct 3, 2011
## Arcs
Now we know how latitude and longitude are defined on the surface of the earth, and how to find the differences in latitude and longitude between points along north–south and east–we... |
# Texas Go Math Grade 7 Module 5 Answer Key Experimental Probability
Refer to our Texas Go Math Grade 7 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 7 Module 5 Answer Key Experimental Probability.
## Texas Go Math Grade 7 Module 5 Answer Key Exper... |
Beginning Rigorous Mathematics/Sets and Functions
We will now discuss some important set operations. Recall from the preliminaries that we only intuitively define a set to be a collection of distinct mathematical objects. There are much better and rigorous definitions of what sets are and form a subject for study all ... |
You are watching: What does cate often call her twin sister
2 + “Solve linear Systems by Elimination multiplying First!!”Eliminated x (2) 9x + 2y = 39 18x + 4y = 78 Equation 1 + x (-3) -18x - 39y = 27 6x + 13y = -9 Equation 2 -35y = 105 y = -3 9x + 2y = 39 Equation 1 Substitute value for y right into either of the ini... |
## Pythagorean Theorem and Its Converse
In Figure 1, CD is the altitude to hypotenuse AB.
Figure 1 An altitude drawn to the hypotenuse of a right triangle to aid in deriving the Pythagorean theorem.
So, by Theorem 63,
• ca = ax, which becomes a2 = cx
• and cb = by, which becomes b2 = cy
From the addition property ... |
# Multiplying Fractions By Whole Numbers Worksheets Word Problems
This multiplication worksheet concentrates on instructing pupils how to mentally flourish whole figures. College students can use customized grids to fit particularly one particular issue. The worksheets also deal withfractions and decimals, and exponen... |
<meta http-equiv="refresh" content="1; url=/nojavascript/">
# 6.1: Polar Coordinates
Difficulty Level: At Grade Created by: CK-12
## Introduction
This chapter introduces and explores the polar coordinate system, which is based on a radius and theta. Students will learn how to plot points and basic graphs in this sy... |
# Video: APCALC02AB-P1A-Q18-913101312010
What is the area of the region bounded by the curves of π¦ = 2π₯Β² and π¦ = β4π₯?
03:31
### Video Transcript
What is the area of the region bounded by the curves of π¦ equals two π₯ squared and π¦ equals negative four π₯?
To find the area of a region bound... |
# Inequalities of combined functions
##### Intros
###### Lessons
1. Introduction to inequalities of combined functions
i. What are inequalities of combined functions?
ii. How many ways can it be solved?
##### Examples
###### Lessons
1. Evaluating Inequalities of Combined Functions by Comparing the Functions Graphic... |
## L’Hôpital’s rule
Evaluating the limit of x-3 with x approaching 4 is very easy and straightforward: you just plug in the value x tends to and you’re done! Another example: How about this? As we saw here, one divided by zero equals infinity, therefore one divided by infinity equals zero. We can’t evaluate limits dir... |
# How do you find the zeros, real and imaginary, of y= -x^2-2x-4 using the quadratic formula?
Aug 8, 2017
$x = = 1 + \sqrt{3} i$
$x = - 1 - \sqrt{3} i$
#### Explanation:
Identify the values of a,b & c and substitute in using the quadratic formula: $x = \frac{- b \setminus \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$
$a = - 1... |
# 180 Days of Math for Sixth Grade Day 164 Answers Key
By accessing our 180 Days of Math for Sixth Grade Answers Key Day 164 regularly, students can get better problem-solving skills.
## 180 Days of Math for Sixth Grade Answers Key Day 164
Directions: Solve each problem.
Question 1.
1,430 + 300 = ___________
1,430 ... |
## Saturday, July 25, 2015
### Introduction to Modular Arithmetic
"In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus." - Wiki
The clock is a good example for modular arithmetic. Let's say $12$'o clock means $0$. Then clock ... |
# Dot Product Of Two Vectors
Vector is a quantity that has both magnitude and direction. Some mathematical operations can be performed on vectors such as addition and multiplication. The multiplication of vectors can be done in two ways, i.e. dot product and cross product. In this article, you will learn the dot produ... |
# Choose the correct answer of the following question:
Question:
Choose the correct answer of the following question:
The area of a rhombus is 480 cm2 and the length of one of its diagonals is 20 cm. The length of each side of the rhombus is
(a) 24 cm (b) 30 cm (c) 26 cm ... |
# Eureka Math Algebra 2 Module 1 Lesson 33 Answer Key
## Engage NY Eureka Math Algebra 2 Module 1 Lesson 33 Answer Key
### Eureka Math Algebra 2 Module 1 Lesson 33 Example Answer Key
Example: Finding an Analytic Equation for a Parabola
Given a focus and a directrix, create an equation for a parabola.
Focus: F(0, 2)... |
8 Algebraicexpressions Equations Lessonplan Vinay
# Instructional Objectives
(This plan is till mid august)
• An algebraic equation is an equality involving variables. It says that the value of the expression on one side of the equality sign is equal to the value of the expression on the other side.
• The equations ... |
•
•
•
# Order of Operations
The order of operations is a very simple concept, but is vital to correctly doing math. It is simply the order in which you should perform certain operations (like addition) to get the right answer. Take this equation:
If you were to simply solve from left to right, the answer would be in... |
Question Video: Using the Probability Distribution of a Discrete Random Variable to Find Probabilities | Nagwa Question Video: Using the Probability Distribution of a Discrete Random Variable to Find Probabilities | Nagwa
# Question Video: Using the Probability Distribution of a Discrete Random Variable to Find Probab... |
Monday Math: Proving Euler’s Formula for Perfect Numbers
In last week’s post we discussed perfect numbers. These were numbers, like 6, 28 and 496, that are equal to the sums of their proper divisors. We referred to Euler’s formula, which claims that every even perfect number has the form
$2^{p-1} \left(2^p-1 \right),... |
# What are the primes of 42?
## What are the primes of 42?
So, the prime factors of 42 are 2 × 3 × 7, where 2, 3 and 7 are prime numbers.
## What are the prime numbers between 42 and 46?
List of Prime Numbers
Sequence Prime Number
42 181
43 191
44 193
45 197
What is a prime number between 41 and 47?
2, 3, 5, 7, ... |
# CLASS-8GEOGRAPHICAL REPRESENTATION OF LINEAR EQUATION & INEQUATION
Geographical Representation –
The solution set of an inequation can be graphically represented on the number line
Example.1) Represent the solution set of the inequation x ≤ 4, x Є N on the number line
Ans.) The solution set for the inequation = {... |
# For the data 3, 5, 1, 6, 5, 9, 5, 2, 8, 6 the mean, median and mode are x, y and z respectively. Which one of the following is correct?
This question was previously asked in
NDA (Held On: 17 April 2016) Maths Previous Year paper
View all NDA Papers >
1. x = y ≠ z
2. x ≠ y = z
3. x ≠ y ≠ z
4. x = y = z
Option 4 : x ... |
# Question: How To Get The Square Root Of A Number Without Using Calculator?
## How do you calculate square roots by hand?
Take the number you wish to find the square root of, and group the digits in pairs starting from the right end. For example, if you want to calculate the square root of 8254129, write it as 8 25 ... |
# Video: Volumes of Cylinders
Learn how to calculate the volume of a cylinder from its height and radius or diameter. Apply this knowledge in word problems and problems where working backward from knowing the volume to calculating a missing dimension is required.
10:55
### Video Transcript
In this video, we are goi... |
Exercise 5-2. Set inversion and inversional equivalence of sets
A set can be inverted around axis 0 -- the conventional axis for inversion -- by subtracting each of its pcs from 0 (= 12). In such an inversion, pcs map onto each other in consistent pairs: 0/0, 1/11, 2/10, 3/9, 4/8, 5/7, and 6/6. The inversion operation... |
Multiplying and Dividing Fractions By Alison Hebein
Presentation on theme: "Multiplying and Dividing Fractions By Alison Hebein"— Presentation transcript:
Multiplying and Dividing Fractions By Alison Hebein http://ellerbruch.nmu.edu
Lesson Overview: After going through this lesson you will: Understand the concepts o... |
# Sum of Products reduction using Karnaugh Map
### Boolean Algebra
Share
In this we will learn to reduce Sum of Products (SOP) using Karnaugh Map.
## Reduction rules for SOP using K-map
There are a couple of rules that we use to reduce SOP using K-map first we will cover the rules step by step then we will solve p... |
New Zealand
Level 8 - NCEA Level 3
# Bernoulli mean and variance
Lesson
An earlier chapter defined the Bernoulli distribution.
A Bernoulli trial is essentially a single trial of a binomial experiment. Its properties provide an easy way of deducing the properties of a binomial distribution because of a theorem in ma... |
## Solving Simple Equations
### Learning Objectives
• Use proper order of operations while solving simple equations with variables
## Order of Operations
Remember, when you solve an equation it’s important to do each operation in the following order:
1. Simplify inside parentheses and brackets.
2. Simplify the exp... |
# Category Archives: Fractions
## Fractions!!!!! The Big Ideas!
Both classes have been working on fractions for the past few weeks (with some time off when some were swimming!). The grade 5s have a test coming up on Monday, May 5th and the 4s will have on Wednesday, May 7th. The grade 4s need to understand up to ... |
# Order numbers (1000 to 10000)
Lesson
### Ordering numbers biggest to smallest
Let's try ordering some numbers from biggest to smallest. This is also known as descending order, or where the numbers decrease. Hint: think of "descending" some stairs, meaning going down the stairs.
An easy way to do this is by scanni... |
# Differentiate it please as earlier as possible and explain it briefly
Samyak Jain
333 Points
5 years ago
You can solve this problem directly by differentiation rules but there’s an alternative simpler method of substitution!
Substitute x = sin$\theta$ in the given expression. Then $\theta$ = sin– 1x. As |x| $\pi$/2 ... |
# On average, the planet Pluto's distance from the sun is about 3,670,000,000 miles. How do you express this distance in scientific notation?
Nov 17, 2016
In scientific notation, Pluto's distance from the sun is $3.67 \times {10}^{9}$ miles.
#### Explanation:
In scientific notation, we write a number so that it has... |
# Worksheet on Area and Perimeter of Squares | Questions on Area and Perimeter of a Square
Worksheet on Area and Perimeter of Squares contains different questions related to the square that helps the students to prepare for the exam. We have covered each and every model related to the square area, perimeter, and diago... |
# HOW TO TELL IF A GRAPH REPRESENTS A FUNCTION
## Vertical Line Test
A curve drawn in a graph represents a function, if every vertical line intersects the curve in at most one point.
Question 1 :
Determine whether the graph given below represent functions. Give reason for your answers concerning each graph.
Soluti... |
1. Arithimic base changes
This tutorial is very hard to understand. not because it is written poorly
but because it is a difficult subject. it show you how to change arithimic
bases and allows you to encode, decrypt messages using this method and possibly
in the future decode alien messages. for all we know aliens hav... |
# How do you find the intercepts of the line y=5x-15?
May 25, 2017
$x$-intercept: $\left(3 , 0\right)$
$y$-intercept: $\left(0 , - 15\right)$
#### Explanation:
To find the intercepts, set $x$ and $y$ equal to $0$ in turn
$\textcolor{red}{y} = 5 \textcolor{b l u e}{x} - 15$
For the $x$-intercept: set $\textcolor{r... |
# Basic trigonometric identities
Here we will show you the basic trigonometric identities. They are to be used only for triangles that have a right angle. If the triangle is not a right triangle, none of the formulas shown below are valid. It is extremely important to keep this in mind. A triangle is a right triangle ... |
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Problem 138
# If line $$\underline{\mathrm{AB}}$$ is parallel to line $$\underline{\mathrm{CD}}$$ and line $$\underline{\mathrm{EF}}$$ is parallel to line $$\underline{\mathrm{GH}}$$, prove that $$\mathrm{m}<1=\mathrm{m} \angle 2$$.
Expert verified
To prove that $$\math... |
• 107
## Learning Opportunities
This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.
## Goal
A rational number is a number that can be expressed as the fraction p/q of two integers. We are going to describe a Number System which covers rational numbers.
👉 ... |
# 20 Examples of Proper Fractions
The proper fractions are those that result from the division between two numbers, where the numerator or dividend (the one that is located in the upper part of the fraction) is lower than the denominator or divisor (the one that is located in the lower part of the lower fraction) . Fo... |
# The Coca-Cola Company had sales of $18,546 million in 1996 and$21,900 million in 2004. How would I use the Midpoint formula to estimate the sales in 1998, 2000, and 2002? Assume that the sales follow a linear pattern.
Dec 3, 2015
1998,$19384.50;2000,$20223;2002,$21061.50 #### Explanation: We know the following poin... |
# Question: How Do You Find Area?
## How do u find the mean?
How to Find the Mean.
The mean is the average of the numbers.
It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
In other words it is the sum divided by the count..
## What is perimeter and area?
About Transcrip... |
# Perimeter of a Rectangle
The perimeter of a rectangle is the distance around the rectangle. Consider the perimeter of a rectangular flower garden to be the length of the fence that surrounds the garden. We calculate the perimeter of a rectangle by getting the sum of all its sides.
## How to Find the Perimeter of a ... |
# Graphing Inequalities in Two Variables
Related Topics:
More Lessons for Grade 9 Math
Math Worksheets
Examples, solutions, videos, worksheets, and activities to help Algebra 1 students learn how to graph inequalities in two variables.
Graphing Inequalities with Two Variables
Just like equations, sometimes we have t... |
# Solve this
Question:
If $y=(x-1) \log (x-1)-(x+1) \log (x+1)$, prove that $\frac{d y}{d x}=\log \left(\frac{x-1}{1+x}\right)$
Solution:
Given $y=(x-1) \log (x-1)-(x+1) \log (x+1)$
On differentiating $y$ with respect to $x$, we get
$\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{\mathrm{d}}{\mathrm{dx}}[(\mathrm{x}-1) \l... |
Lesson 18
Practicing Point by Point Transformations
Let's figure out some transformations.
18.1: Notice and Wonder: Obstacles
What do you notice? What do you wonder?
18.2: Obstacle Course
For each diagram, find a sequence of translations and rotations that take the original figure to the image, so that if done ph... |
# If abcda¯,b¯,c¯,d¯ are four distinct vectors such that abcda¯×b¯=c¯×d¯ and acbda¯×c¯=b¯×d¯ prove that ada¯-d¯ is parallel to bcb¯-c¯. - Mathematics and Statistics
Sum
If bar"a", bar"b", bar"c", bar"d" are four distinct vectors such that bar"a" xx bar"b" = bar"c" xx bar"d" and bar"a" xx bar"c" = bar"b" xx bar"d" pro... |
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