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# Jiro drives 10km then increases his speed by 10kph and drives another 25km. What is his original speed if the whole ride took 45 minutes (or 3/4 hour)?
Sep 9, 2016
The original speed was $40$ km per hour.
#### Explanation:
With a distance-speed-time problem, remember the relationship:
$s = \frac{d}{t} \text{ }$ ... |
Eureka Math Precalculus Module 4 Lesson 10 Answer Key
Engage NY Eureka Math Precalculus Module 4 Lesson 10 Answer Key
Eureka Math Precalculus Module 4 Lesson 10 Example Answer Key
Example: Revisiting Vectors and Resultant Forces
The goalie on the soccer team kicks a ball with an initial force of 135 Newtons at a 40°... |
# Section7.2Qualitative behavior of solutions to DEs¶ permalink
##### Motivating Questions
• What is a slope field?
• How can we use a slope field to obtain qualitative information about the solutions of a differential equation?
• What are stable and unstable equilibrium solutions of an autonomous differential equat... |
## Book: RD Sharma - Mathematics
### Chapter: 15. Linear Inequations
#### Subject: Maths - Class 11th
##### Q. No. 2 of Exercise 15.4
Listen NCERT Audio Books to boost your productivity and retention power by 2X.
2
##### Find all pairs of consecutive odd natural number, both of which are larger than 10, such that ... |
## SYSTEMS OF EQUATIONS in THREE VARIABLES
It is often desirable or even necessary to use more than one variable to model a situation in many fields. When this is the case, we write and solve a system of equations in order to answer questions about the situation.
If a system of linear equations has at least one solut... |
# How do you simplify (4^-1 * 7) ^ 2?
Jul 6, 2018
$\frac{49}{16}$
#### Explanation:
$\text{using the "color(blue)"law of exponents}$
•color(white)(x)a^-mhArr1/a^m
${\left({4}^{-} 1 \times 7\right)}^{2}$
$= {\left(\frac{1}{4} \times 7\right)}^{2}$
$= {\left(\frac{7}{4}\right)}^{2} = \frac{7}{4} \times \frac{7}{4... |
# Six congruent rectangular prisms volume can be modeled by V(x) below. V(x)=54x^3+264x^2-738x+420
Question
Solid Geometry
Six congruent rectangular prisms volume can be modeled by V(x) below.
$$\displaystyle{V}{\left({x}\right)}={54}{x}^{{3}}+{264}{x}^{{2}}-{738}{x}+{420}$$
2021-03-08
Since there are 6 rectangular p... |
Courses
# NCERT Solutions (Part- 1)- Algebraic Expressions and Identities Class 8 Notes | EduRev
## Mathematics (Maths) Class 8
Created by: Full Circle
## Class 8 : NCERT Solutions (Part- 1)- Algebraic Expressions and Identities Class 8 Notes | EduRev
The document NCERT Solutions (Part- 1)- Algebraic Expressions a... |
# What The Numbers Say About Jamie Lynn Spears (11/03/2019)
How will Jamie Lynn Spears get by on 11/03/2019 and the days ahead? Let’s use astrology to perform a simple analysis. Note this is for entertainment purposes only – do not take this too seriously. I will first calculate the destiny number for Jamie Lynn Spear... |
# Set Operations: Union, Intersection, Difference, Complement, Cartesian Product, Power Set
Set Operations
Intersection: the intersection of two sets A and B, denoted by AB, is the set that contains all elements of A that also belong to BAND
Example: Let D={1,2,3} and E={1,2,4,5},then DE={1,2}
Union: the union of two... |
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# The Quest for 700: Weekly GMAT Challenge (Answer)
Yesterday, Manhattan GMAT posted a GMAT question on our blog. Today, they have followed up with the answer:
Our first task is to ensure that we understand the definition of a geometric sequence. Let’s use the sequence given to us: a, b, c, d. We are told that ... |
# Lesson 8
Scale Drawings and Maps
### Lesson Narrative
This lesson is optional. In this lesson, students apply what they have learned about scale drawings to solve problems involving constant speed (MP1, MP2). Students are given a map with scale as well as a starting and ending point. In addition, they are either g... |
Elementary Geometry for College Students (7th Edition)
(a) The sphere has symmetry with respect to the point $P$. (b) The sphere has symmetry with respect to this line.
We can write the general equation of a sphere: $(x-a)^2+(y-b)^2+(z-c)^2 = r^2$ where $(a,b,c)$ is the center of the sphere and $r$ is the radius The e... |
What are the 3 rules of continuity?
What are the 3 rules of continuity?
Note that in order for a function to be continuous at a point, three things must be true:
• The limit must exist at that point.
• The function must be defined at that point, and.
• The limit and the function must have equal values at that point.... |
# Z Test
Delve into the realm of engineering mathematics and discover the unique significance of the Z Test. This comprehensive guide demystifies the concept, properties, and role of Z Test in statistics and its application across various engineering fields. You'll also gain insights into the intriguing Z Test vs t Te... |
When it comes to knowing the meaning of the term cotangent, it is necessary, first of all, to discover what its etymological origin is. In this case, we can state that it is a word that derives from Latin. It is exactly the result of the union of three delimited components:
-The prefix “co-”, which can be translated as... |
Writing a Proportion To write a proportion proportion
• Slides: 21
Writing a Proportion To write a proportion, proportion you set one ratio equal to another ratio. The only rule is this: Your left side and right side must be set up the same way. So, to see the Eiffel Tower was really 1064 feet tall, you measured it’s... |
# How to find the orthocenter of a triangle? – Step by step
The orthocenter of a triangle can be found using two main methods. We can sketch the heights of the triangle and find the point of intersection. Alternatively, we can find the coordinates of the orthocenter algebraically.
In this article, we will learn how t... |
Module 3: Probability
# Tree and Venn Diagrams
Barbara Illowsky & OpenStax et al.
Sometimes, when the probability problems are complex, it can be helpful to graph the situation. Tree diagrams and Venn diagrams are two tools that can be used to visualize and solve conditional probabilities.
## Tree Diagrams
A tree ... |
Home » Revision Notes for CBSE Class 6 to 12 » Class 10 Maths for Pair of Linear Equations in Two Variables of Chapter 3 Revision Notes
# Class 10 Maths for Pair of Linear Equations in Two Variables of Chapter 3 Revision Notes
## CBSE Class 10 Maths Chapter 3 – Pair of Linear Equations in Two Variables – Free PDF Dow... |
# How to divide decimals
In this post we will two different methods to divide decimal numbers.
(a) Long Division Method
(b) Division using Fraction Method
## Long Division with decimals
This method can be used when decimal is divided by whole number.
This division involves following steps:
(A) First divide the numb... |
# Coordinate Geometry: Understanding the Cartesian Coordinate System and Plotting Points, Lines, and Distances.
Using the Cartesian coordinate system, this area of mathematics provides an effective method for representing and examining shapes, patterns, and relationships. This voyage into coordinate geometry aims to b... |
Home » What is 0.75 as a Fraction? – Decimal to Fraction Conversion
# What is 0.75 as a Fraction? – Decimal to Fraction Conversion
What is 0.75 as a Fraction?
• A. 17/34
• B. 11/20
• C. 1/2
• D. 3/4
• E. 1/8
## Solution:
The fraction 75/100 is the same as the decimal 0.75.
But you can make this even easier by div... |
A series of numbers that follows a particular pattern is called a sequence. Sometimes, each new term is found by adding or subtracting a certain constant, sometimes by multiplying or dividing. So long as the pattern is the same for every new term, the numbers are said to lie in a sequence.
Sequence questions will have... |
# Assignment 7
## Tangent Circles
Kate Berryman
cavaleri@uga.edu
*Please make sure your browser is maxiumized to view this write up;
In this write up, we will discuss different cases of tangent circles.
First let's look at how to construct a tanget circle.
First, construct two circles with center A and center B.... |
Lesson 24 of 47
In Progress
# Quick Sort
##### Yasin Cakal
Quicksort is a popular sorting algorithm that is widely used in computer science and programming. It is an efficient, in-place sorting algorithm that is based on the divide-and-conquer approach. Quicksort is a comparison-based sorting algorithm, meaning that... |
# Square formula
In this topic square formula, we are going to discuss about two formulas which are being used to expand the terms like in the form (a + b) ². This particular formula (a + b) ² plays a vital role in math from 8 th grade, 9 th grade, 10 th grade to higher studies.
A students who studies math in his sch... |
Solving $2x+8=6x-12$ by using the guess and check method
How do you solve this equation: $2x+8=6x-12$ by using the guess and check method?
I divide $2x+8$ and I get $4$ then I divide $6x-12$ and I get $-2$ but I don't know what to do next or is it wrong?
• Is it $2^x$, instead of $2x$? For $2x$ there isn't much to g... |
# How do you simplify 2 sqrt 7+ 3 sqrt 7+ sqrt7?
Feb 26, 2016
$6 \sqrt{7}$
#### Explanation:
Factor a $\sqrt{7}$ from each term.
$2 \sqrt{7} + 3 \sqrt{7} + \sqrt{7} = \sqrt{7} \left(2 + 3 + 1\right) = \sqrt{7} \left(6\right) = 6 \sqrt{7}$
Note that this is similar to addition you have likely done in the past -- t... |
# Class Greeting. Chapter 8 Systems of Linear Equations and Inequalities Lesson 8-1a Solving Systems Equations by Graphing 1.Determine if a system of equations.
## Presentation on theme: "Class Greeting. Chapter 8 Systems of Linear Equations and Inequalities Lesson 8-1a Solving Systems Equations by Graphing 1.Determin... |
# When to use law of sines vs law of cosines
## Do you need a right triangle to use law of sines?
The Law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite angle is the same for all three sides of the triangle. This is true for any triangle, not just right triangles. P... |
## How do you find the horizontal shift of sin?
the horizontal shift is obtained by determining the change being made to the x-value. The horizontal shift is C. The easiest way to determine horizontal shift is to determine by how many units the “starting point” (0,0) of a standard sine curve, y = sin(x), has moved to ... |
# How do you find the x and y intercept of 9x + 8y = −24?
Jul 11, 2016
${y}_{\text{intercept}} = - 3$
${x}_{\text{intercept}} = - \frac{8}{3}$
#### Explanation:
Convert the formula into the standard form of $y = m x + c$ for a straight line graph.
Subtract $\textcolor{b l u e}{9 x}$ from both sides
$\textcolor{b... |
5.5
1 / 46
# 5.5 - PowerPoint PPT Presentation
5.5. What Patterns Can I Use? Pg. 12 Constant Ratios in Right Triangles. 5.5 – What Patterns Can I Use? Constant Ratios in Right Triangles.
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
## PowerPoint Slideshow... |
# How do you graph x-y=1 ?
Jul 29, 2018
Determine the x- and y-intercepts, plot them, and draw a straight line through the point.
#### Explanation:
Graph:
$x - y = 1$
X-intercept: value of $x$ when $y = 0$
Substitute $0$ for $y$ and solve for $x$.
x-0=1
$x = 1$
The x-intercept is $\left(1 , 0\right)$. Plot th... |
# Plow-Pair
Futoshiki is fun. It’s a number-puzzle where you use logic to re-create a 5×5 square in which every row and column contains the numbers 1 to 5. At first, most or all of the numbers are missing. You work out what those missing numbers are by using the inequality signs scattered over the futoshiki. Here’s an... |
# Triangle A has an area of 27 and two sides of lengths 8 and 6 . Triangle B is similar to triangle A and has a side with a length of 8 . What are the maximum and minimum possible areas of triangle B?
maximum possible area of triangle B $= 48$ &
minimum possible area of triangle B $= 27$
#### Explanation:
Given a... |
# 2021 JMPSC Accuracy Problems/Problem 6
## Problem
In quadrilateral $ABCD$, diagonal $\overline{AC}$ bisects both $\angle BAD$ and $\angle BCD$. If $AB=15$ and $BC=13$, find the perimeter of $ABCD$.
## Solution
Notice that since $\overline{AC}$ bisects a pair of opposite angles in quadrilateral $ABCD$, we can dist... |
# Which of the following is in ascending order?
Numbers are said to be in ascending order when they are arranged from the smallest to the largest number. E.g. 5, 9, 13, 17 and 21 are arranged in ascending order.
## Which of the following is in ascending order?
Numbers are said to be in ascending order when they are ... |
Probability Concepts
English Português Français Español Italiano Nederlands
Probability is a measure $P(\bullet)$ which quantifies the dregree of (un)certainty associated with an event. We will discuss three common approaches to probability.
Classical Probability
Laplace’s classical definition of probability is b... |
# 2010 AMC 12A Problems/Problem 21
## Problem
The graph of $y=x^6-10x^5+29x^4-4x^3+ax^2$ lies above the line $y=bx+c$ except at three values of $x$, where the graph and the line intersect. What is the largest of these values?
$\textbf{(A)}\ 4 \qquad \textbf{(B)}\ 5 \qquad \textbf{(C)}\ 6 \qquad \textbf{(D)}\ 7 \qqua... |
# There are two triangles. One has a base of 8 cm and a height of 10 cm. The other has a base of 5 cm and a height of 13 cm. Which triangle has a larger area?
May 6, 2016
The triangle with base 8 cm and height 10 cm.
#### Explanation:
$A r e a \triangle = \frac{1}{2} \cdot b a s e \cdot h e i g h t$
${\triangle}_{... |
# If the polynomial x4 – 2x3 + 3x2 – ax + b is divided by (x – 1) and (x + 1) and the remainders are 5 and 19 respectively. But if that polynomial is divided by x + 2, then what will be the remainder —Let us calculate.
We have the polynomial x4 – 2x3 + 3x2 – ax + b.
Let it be P(x), such that
P(x) = x4 – 2x3 + 3x2 – ... |
# A Deep Dive into Probability Distribution in Risk Management
Ever tossed a fair coin? I’d bet you have! At least in your childhood days while deciding which team would bat first in a baseball or a cricket match, or who would serve first in a badminton or tennis game. Every kid agrees to it because it’s unbiased. Whe... |
Welcome To Basics In Maths
# These solutions designed by the ‘Basics in Maths’ team. These notes to do help the intermediate First-year Maths students.
### Inter Maths – 1A two marks questions and solutions are very useful in IPE examinations.
#### QUESTION 1
Find the unit vector in the direction of
Sol: Given vec... |
## Go Math Grade 8 Answer Key Chapter 12 The Pythagorean Theorem
Chapter 12- Lesson 1:
Chapter 12- Lesson 2:
Chapter 12- Lesson 3:
### Guided Practice – The Pythagorean Theorem – Page No. 378
Question 1.
Find the length of the missing side of the triangle
a2 + b2 = c2 → 242 + ? = c2 → ? = c2
The length of the hyp... |
Section - Collinear
Chapter 12 Class 11 - Intro to Three Dimensional Geometry
Concept wise
Introducing your new favourite teacher - Teachoo Black, at only ₹83 per month
### Transcript
Example 8 Using section formula, prove that the three points (– 4, 6, 10), (2, 4, 6) and (14, 0, –2) are collinear. Let points be A ... |
# Ex.2.4 Q3 fractions-and-decimals Solutions-Ncert Maths Class 7
Go back to 'Ex.2.4'
## Question
Find:
(i) \begin{align} \frac{7}{3} \div 2\end{align}
(ii) \begin{align} \frac{4}{9} \div 5 \end{align}
(iii) \begin{align} \frac{6}{{13}} \div 7\end{align}
(iv) \begin{align} 4\frac{1}{3} \div 3\end{align}
(v) \be... |
## 4x4 Matrix
Find the determinant of the following 4 x 4 matrix:
Hint
$$\begin{bmatrix}a & b & c & d\\ e & f & g & h\\ i & j & k & l\\ m & n & o & p\end{bmatrix}=a\cdot \begin{bmatrix}f & g & h\\ j & k & l\\ n & o &p \end{bmatrix}-b\cdot \begin{bmatrix}e & g & h\\ i & k & l\\ m & o & p\end{bmatrix}+c\cdot \begin{bma... |
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# Arithmetic sequence
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# sin2x – cos2x = 1 for all values of x
Prove the identity, ?
Unit Circle’s equation is x² + y² = 1
All the points on the circle contains coordinates which make the equation x² + y² = 1, true!
On the unit circle, from any arbitrary point (x, y), the representation of coordinates can be given by (sin + cos ), where,... |
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# What is the sum of first 50 even numbers?
Arithmetic is a part of mathematics that works with different types of numbers, fractions, applied different operations on numbers like addition, multiplication, etc. The word Arithmetic comes from the Greek word arithmos, which m... |
# The sum of three terms of an A.P. is 21 and the product
Question:
The sum of three terms of an A.P. is 21 and the product of the first and the third terms exceeds the second term by 6, find three terms.
Solution:
In the given problem, the sum of three terms of an A.P is 21 and the product of the first and the thi... |
## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
$\left\{2, 8\right\}$
Subtract $10x$ to both sides: $x^2+16-10x=10x-10x \\x^2-10x+16=0$ RECALL: A trinomial of the form $x^2+bx+c$ can be factored if there are integers $d$ and $e$ such that $c=de$ and $b=d+e$. The trinomial's factored form ... |
2nd Gear Solution
Second Gear refers to Figure 9-47 in Norton.
In this configuration, clutch C2 is engaged and Brake B2 is also engaged.
The gear train will be solved with 5 as the input and 4 as the output.
There will be two equations for this case. The first, last and arm for each will be defined as
f = 5
l = 7
a... |
# Recursive functions in discrete mathematics
A recursive function is a function that its value at any point can be calculated from the values of the function at some previous points. For example, suppose a function f(k) = f(k-2) + f(k-3) which is defined over non negative integer. If we have the value of the function... |
# Texas Go Math Grade 6 Benchmark Test Answer Key Part 1
Refer to our Texas Go Math Grade 6 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 6 Benchmark Test Answer Key Part 1.
## Texas Go Math Grade 6 Benchmark Test Answer Key Part 1
Selected Respons... |
# Texas Go Math Grade 6 Module 10 Answer Key Generating Equivalent Numerical Expressions
Refer to our Texas Go Math Grade 6 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 6 Module 10 Answer Key Generating Equivalent Numerical Expressions.
## Texas Go... |
Home | | Maths 7th Std | Exercise 1.4 (Division of Decimal Numbers)
# Exercise 1.4 (Division of Decimal Numbers)
7th Maths : Term 3 Unit 1 : Number System : Division of Decimal Numbers : Exercise 1.4
Operations on Decimal Numbers
Division of Decimal Numbers
Exercise 1.4
1. Simplify the following.
(i) 0.6 ÷ 3
(i... |
# What Are Consecutive Numbers? - Definition & Examples
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Unexpectedly Intriguing!
20 December 2019
Sometimes, great insights come from tinkering. For many inventors, tinkering with older inventions is a time-tested method for gaining a better understanding of how they work and how they could work better. The insights they gain can then be applied in new ways, or perhaps com... |
# Area of Irregular Polygon
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Print Lesson
## Objective
SWBAT apply their knowledge of arrays to find the area of an irregular polygon.
#### Big Idea
Students look for break apart irregular polygons to make arrays to find the area of these common shapes.
## Warm Up
5 minutes
Students a... |
# How to easily determine the results distribution for multiple dice?
I want to calculate the probability distribution for the total of a combination of dice.
I remember that the probability of is the number of combinations that total that number over the total number of combinations (assuming the dice have a uniform... |
# Addition And Subtraction Math Facts Worksheets latest 2023
You are searching about Addition And Subtraction Math Facts Worksheets, today we will share with you article about Addition And Subtraction Math Facts Worksheets was compiled and edited by our team from many sources on the internet. Hope this article on the ... |
# Addition and Subtraction of Integers
Addition and subtraction are two very common operations performed with integers. There are some rules followed while performing them.
There are some rules followed while adding two or more integers. A number line is often used to show the sum of two integers.
### Adding Integer... |
Eureka Math Algebra 1 Module 3 Lesson 8 Answer Key
Engage NY Eureka Math Algebra 1 Module 3 Lesson 8 Answer Key
Eureka Math Algebra 1 Module 3 Lesson 8 Exercise Answer Key
Opening Exercise
The sequence of perfect squares {1, 4, 9, 16, 25,…} earned its name because the ancient Greeks realized these quantities could b... |
Sampling Without Replacement
The draws in a simple random sample aren't independent of each other. This makes calculating variances a little less straightforward than in the case of draws with replacement.
In this section we will find the variance of a random variable that has a hypergeometric distribution. Then we w... |
# 2005 AIME II Problems/Problem 4
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
Find the number of positive integers that are divisors of at least one of $10^{10},15^7,18^{11}.$
## Solution 1
$10^{10} = 2^{10}\cdot 5^{10}$ so $10^{10}$ has $11\cdot11 = 121$ divisors.
$15^7 ... |
The Way To Prime
This animation image illustrates how to find prime numbers between 2 to 120. Not too mathematical this time, but sticky one. Hope you will enjoy it.
Finding Primes
Source: Unknown
Two Interesting Math Problems
Problem1: Smallest Autobiographical Number:
A number with ten digits or less is called ... |
# Triangles, Rectangles, Squares, and Circles
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1 LESSON Name 2 Teacher Notes: page 27 Triangles, Rectangles, Squares, and Circles Refer students to Circle on page 4 in the Student Reference Guide. Post Reference Chart Circle. Use the compasses from the manipulative kit to... |
# 🧚🏽♀️Abstract Linear Algebra I Unit 5 – Determinants: Properties and Applications
Determinants are powerful tools in linear algebra, encoding crucial matrix properties. They're scalar values associated with square matrices, calculated using specific formulas. Determinants play a key role in solving systems of equa... |
# Solving 1-step Equations
## What is an equation? What is a variable?
An EQUATION says that two things are equal. It will have an equals sign: 7 + 2 = 10 − 1
That equation says: what is on the left (7 + 2) is equal to what is on the right (10 − 1)
So an equation is like a statement "this equals that".
A VARIABLE ... |
# How do you find the product of (7x^2 + 5y + 7) (y + 5) ?
Oct 24, 2017
See a solution process below:
#### Explanation:
To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.
$\left(\textcolor{red}{7 {x}^{2}} + \textcolor{red}{5 y} + ... |
## Base of Number System-
• Base of a number system is the total number of digits used in that number system.
• Number system with base ‘b’ has its digits in the range [0 , b-1].
• It is also called as radix of a number system.
## Examples-
Consider the following examples-
### Base 10 Number System-
Consider base ... |
# Complex Numbers Loci Questions Worksheet
A Logical Amounts Worksheet may help your child be a little more acquainted with the principles powering this rate of integers. In this particular worksheet, students should be able to remedy 12 distinct difficulties linked to logical expressions. They are going to learn to i... |
# POLYAS FOUR STAGES OF PROBLEM SOLVING
How many students passed the last math test? Once the problem is read, you need to list all the components and data that are involved. Find the dimensions if the perimeter is to be 26 inches. Keep in mind that x is representing an ODD number and that the next odd number is 2 awa... |
# Monthly Archives: August 2012
## Konig’s lemma
This post is about trees. Not real-life ones but mathematical trees, or more formally about acyclic connected graphs. Just as actual big skinny trees are tall, graph theoretic big skinny trees are also tall. The goal here is to prove this formally.
But first some defi... |
# Area
## Teaching Area and Perimeter
Since they are introduced together, one frequently finds children mixing up the two concepts. Also formulae for arriving at these measures are brought in too quickly - well before the concepts are fully understood. One can avoid this problem by spacing out these two concepts. Are... |
# Evaluate the following integrals. \int e^{3-4x}dx
Evaluate the following integrals.
$\int {e}^{3-4x}dx$
You can still ask an expert for help
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Ace the Trig Exam With This Study Guide
By Kayla Griffin
Most of trigonometry involves lots of memorization, or lots of reference checking. Practice some basic formulas and rules that will get you started on nearly everything.
Before you start reading, you should know that this is only a review. If you don't have an... |
# Lesson 7
Practice with Rational Bases
Let's practice with exponents.
### 7.1: Which One Doesn’t Belong: Exponents
Which expression doesn’t belong?
$$\frac{2^{8}}{2^5}$$
$$\left(4^{\text-5}\right)^{8}$$
$$\left( \frac34 \right)^{\text-5} \boldcdot \left( \frac34 \right)^{8}$$
$$\frac{10^{8}}{5^5}$$
### 7.2: E... |
# A First Course in Statistics (12th Edition) View more editions 79% (1296 ratings) for this book
• 1379 step-by-step solutions
• Solved by professors & experts
• iOS, Android, & web
Chapter: Problem:
Sample Solution
Chapter: Problem:
• Step 1 of 7
a.
Use the Random Numbers applet to generate random numbers from 1 t... |
MT2002 Analysis
Previous page (Cauchy sequences) Contents Next page (Limits of functions)
## Continuity for Real functions
We now introduce the second important idea in Real analysis.
It took mathematicians some time to settle on an appropriate definition. See Some definitions of the concept of continuity.
Contin... |
# The length of a rectangle is 8cm greater than its width. How do you find the dimensions of the rectangle if its area is 105cm²?
Apr 1, 2018
Dimensions: $15$cm $\times$ $7$ cm
#### Explanation:
Let the length of the rectangle be $l$ and the width of the rectangle be $w$,
$l \cdot w = 105$
$l = w + 8$
Substitute... |
<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.
Trapezoids
Quadrilaterals with exactly one pair of parallel sides.
Estimated5 minsto complete
%
Progress
Prac... |
# What Is Differentiation In Maths Assignment Help
## Find Someone to do Project
What is a new object? First of all, let‘s say that you want to make a new car. Then, let“s say that your car is new. Since you want to change the shape, you can do it by going into a new car, or by making a new car by making the shape of... |
+0
# geometry problem
0
53
1
A certain square and a certain equilateral triangle have the same perimeter. The square and triangle are inscribed in circles, as shown below. If $A$ is the area of the circle containing the square, and $B$ is the area of the circle containing the triangle, then find $A/B.$
Apr 14, 2020... |
# Question 6d652
Sep 30, 2017
Here's what I got.
#### Explanation:
As you know, the molarity of a solution tells you the number of moles of solute present for every $\text{1 L}$ of the solution.
This implies that you can increase the molarity of a solution by decreasing the amount of solvent it contains.
Now, let... |
# Slope|Definition & Meaning
## Definition
The slope (or gradient) is defined as the ratio of the difference between two points’ vertical and horizontal coordinates. Physically, it represents the steepness of the line joining the two points (how much movement occurs along the y-axis for a given movement in the x-axis... |
# Bridges in Mathematics Grade 5 Home Connections Unit 6 Module 3 Answer Key
Students looking for the Bridges in Mathematics Grade 5 Home Connections Answer Key Unit 6 Module 3 can find a better approach to solve the problems.
## Bridges in Mathematics Grade 5 Home Connections Answer Key Unit 6 Module 3
Bridges in M... |
# How do you solve (x+2)/(x+1)>0?
Nov 17, 2016
The "critical" values are $x = - 2$ and $x = - 1$. When $x < - 2$, we get $\frac{-}{-}$$= +$. When $- 2 < x < - 1$, we get $\frac{+}{-}$$= -$. When $x > - 1$, we get $\frac{+}{+}$$= +$. Thus, our solution is $x \in \left(- \infty , - 2\right) \cup \left(- 1 , \infty\righ... |
The Trick
After discussing multiplication of numbers by 11, let us discuss another math shortcut method which is very popular among kids and teenagers. This is squaring numbers ending in 5.
For kids, you can read the first portion of this post if you want to learn the trick, and read further if you want to learn the ... |
# How To Multiply Exponents – Multiplying Exponents Rules
Learners can learn how to multiply exponents here, as you need to just have the same base and then add the exponents. For example: a^m * a^n = a^(m+n).
Multiplying exponents is a fundamental operation in mathematics, particularly in algebra. When you multiply... |
# How to Find Values of Functions from Graphs?
In a few simple steps, we can find the value of the function from the graph. In this step-by-step guide, you will learn more information about finding values of functions from graphs.
A function in mathematics is represented as a rule, which gives a unique output for eac... |
# 2011 AMC 12B Problems/Problem 13
## Problem
Brian writes down four integers $w > x > y > z$ whose sum is $44$. The pairwise positive differences of these numbers are $1, 3, 4, 5, 6$ and $9$. What is the sum of the possible values of $w$?
$\textbf{(A)}\ 16 \qquad \textbf{(B)}\ 31 \qquad \textbf{(C)}\ 48 \qquad \tex... |
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# Involute Function Calculator
Roulette and involuteInvolute gearsInvolute gear design and involute functionHow does our involute function calculator work?FAQs
Not happy with simple curves, mathematicians decided to see what happens when two curves slide on one another, and the result made many enginee... |
# Determine the value of h such that the matrix is the augmented matrix of a consistent linear system.
$\boldsymbol{ \left[ \begin{array}{ c c | c } 1 & 3 & -8 \\ -4 & h & 1 \end{array} \right] }$
The aim of this question is to understand the solution of the system of linear equations using the row operations and row... |
Comparison Theorems for Sequences
# Comparison Theorems for Sequences
We will now look at a few very important comparison theorems for both divergent and convergent sequences.
Theorem 1: If $a_n ≤ b_n$ for all $n ≥ N$ and $\lim_{n \to \infty} a_n = \infty$ then $\lim_{n \to \infty} b_n = \infty$.
What theorem 1 es... |
# What is the answer?
## Imaginary numbers:
Nov 14, 2017
${i}^{0} = 1$
${i}^{1} = i$
${i}^{2} = - 1$
${i}^{3} = - i$
${i}^{4} = 1$
#### Explanation:
Generally if you want to get the solution to ${i}^{x}$ where $x$ is any non-negative integer, you need to remember the following:
${i}^{0} = 1$
${i}^{1} = i$
${i}^{2... |
# Deriving the Poisson Distribution
The Poisson distribution can be derived from the binomial distribution by doing two steps:
1. substitute $\frac{\mu}{n}$ for p
2. Let n increase without bound
Step one is possible because the mean of a binomial distribution is $\mu = np$. So another way of expressing p, the probab... |
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