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# The Sum of a Positive Number and Its Reciprocal is Thrice the Difference of the Number and Its Reciprocal. The Number is?
### Computer MCQs Series for PPSC, FPSC – Most Repeated MCQs | Set 6
What are you looking for? Let’s dig in quickly
## Explanation
The sum of a positive number and its reciprocal is thrice.
T... |
# 6-4 Key Concepts Adding and Subtracting Fractions with Unlike Denominators
```Lesson
Key Concepts
6-4
Unlike Denominators
Objective
To learn how to add and subtract fractions with unlike
denominators, using the method of common denominators.
Note to the Teacher This lesson contains the most complicated
operations on... |
# What is the Z-Score?
Z Score
The standard score, or the Z-score in excel, is a way to calculate the difference between the actual score and the mean in standard deviation units. It also allows us to compare two examples from different populations. The z-value can be negative or positive. A negative z-score means th... |
# Matrix Subtraction – Explanation & Examples
There are $4$ basic operations we can do on matrices. They are addition, subtraction, scalar multiplication, and matrix multiplication. Matrix Subtraction is one of them, and we are going to look at it in this article.
Note: Matrix division isn’t a defined operation. We ... |
What Is 24/60 as a Decimal + Solution With Free Steps
The fraction 24/60 as a decimal is equal to 0.4.
An Improper Fraction can be converted into a Mixed Fraction. Suppose that 5/3 is an improper fraction where the numerator is greater than the denominator, by solving the 5/3 fraction through the long division method... |
## A Multiplication Based Logic Puzzle
### 341 is the smallest composite number that gives a false positive for this Quick Prime Number Test
• 341 is a composite number.
• Prime factorization: 341 = 11 x 31
• The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1... |
# (- 7) + 4 = (-9) = - 3 (- 3) + 7 = ( -3) = 2
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## Transcription
1 WORKING WITH INTEGERS: 1. Adding Rules: Positive + Positive = Positive: = 9 Negative + Negative = Negative: (- 7) + (- 2) = - 9 The sum of a ne... |
# Proportion of Sizes of Tetrahedra divided into Two Similar Tetrahedra and Two Equal Prisms
## Theorem
In the words of Euclid:
If there be two pyramids of the same height which have triangular bases, and each of them be divided into two pyramids equal to one another and similar to the whole, and into two equal pris... |
RD Sharma Class 9 Solutions Chapter 6 Factorisation of Polynomials Ex 6.4
These Solutions are part of RD Sharma Class 9 Solutions. Here we have given RD Sharma Class 9 Solutions Chapter 6 Factorisation of Polynomials Ex 6.4
Other Exercises
In each of the following, use factor Theorem to find whether polynomial g(x) ... |
# Difference between revisions of "2020 AMC 12A Problems/Problem 17"
## Problem 17
The vertices of a quadrilateral lie on the graph of $y=\ln{x}$, and the $x$-coordinates of these vertices are consecutive positive integers. The area of the quadrilateral is $\ln{\frac{91}{90}}$. What is the $x$-coordinate of the leftm... |
# The length and breadth of a rectangle are in the ratio 5:3. If the perimeter is 80 cm, find the length and breadth of rectangle.
Given :
The ratio of length and breadth of the rectangle $=5 : 3$.
Perimeter of the rectangle $= 80 cm$.
To find :
We have to find the length and breadth of the rectangle.
Solution :
... |
# RD Sharma Solutions for Class 6 Chapter 7: Decimals Exercise 7.5
The solutions prepared by faculty at BYJU’S help students to get an overall idea about the concepts which are covered in each exercise. This exercise helps students understand the steps followed in comparing the given set of decimals. RD Sharma solut... |
Middle Years
# 9.07 Surface area of cylinders
Lesson
A cylinder has three faces: two identical circular bases and a curved surface that joins the two bases together.
The surface area of a cylinder is the sum of the areas of these three faces. We already know how to find the area of the circular bases, but what abou... |
##### Activity5.2.4
Remember that the absolute value of a number tells us how far that number is from $$0$$ on the real number line. We may therefore think of the inverse power method as telling us the eigenvalue closest to $$0\text{.}$$
1. If $$\vvec$$ is an eigenvalue of $$A$$ with associated eigenvalue $$\lambda\t... |
# Exponents Lead to Cumbersome, Time-Consuming Calculations involving Large Numbers but it is Pattern-Driven
The GMAT's quantitative section is increasingly emphasizing problem solving skills over calculation abilities, and often does so in the form of "Number Properties" questions. The authors of the exam are also qu... |
# What is the value of c that makes x^2-15x+c a perfect square trinomial?
##### 2 Answers
Feb 24, 2017
$c = {\left(\frac{15}{2}\right)}^{2} = \frac{225}{4}$
#### Explanation:
We find:
${\left(x + \frac{b}{2}\right)}^{2} = {x}^{2} + 2 \left(x\right) \left(\frac{b}{2}\right) + {\left(\frac{b}{2}\right)}^{2} = {x}^{2... |
# What are the asymptotes of y=1/x-2 and how do you graph the function?
Mar 1, 2018
The most useful thing when trying to draw graphs is to test the zeroes of the function to get some points that can guide your sketch.
Consider $x = 0$:
$y = \frac{1}{x} - 2$
Since $x = 0$ cannot be substituted in directly (since it's... |
# How Do We Use Percentages In Everyday Life?
## What jobs use percentages?
Therefore, any business involving tax calculation, tip calculation, or interest rates uses fractions.
Banks, restaurants, movie theaters and department stores all use percentages, so teller, wait staff and store clerk positions are included ... |
# Lacsap’s Triangle
1 Introduction. Let us consider a triangle of fractions: Obviously, the numbers are following some pattern. In this investigation we will try to explain the theory behind this arrangement and to find a general relation between the element’s number and its value. The pattern above is called a Lacsap... |
Home | | Maths 6th Std | Proportion
# Proportion
When two ratios are equal (a/b = c/d), we say that the ratios are in Proportion. This is denoted as a : b : : c : d and it is read as ‘a is to b as c is to d’. The following situations explain about proportion.
Proportion
When two ratios are equal (a/b = c/d), we say... |
Saturday, June 25, 2022
HomeMathIdea of Time | Day and Night time | Components of the...
# Idea of Time | Day and Night time | Components of the Day
We are going to study the idea of time.
The solar shines in the course of the day. There may be mild in all places. We will see all the things round us.
When there is ... |
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### Place Values Of Numbers
Place Values Of Numbers are used to say the exact position of figures in the numeric table.
In the numeric table, we have ones (units), tens, hundred, thousands etc
Before we can get the place values of given figures, we must first expand the fig... |
# How to Calculate Tangent Lines to Radius
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In mathematical terms, a "tangent" line is a straight line which touches a curve at one and only one point. Tangents to circles are unique in that they form right angles with their corresponding circle's radius. Determining the equation of a line tangent to a function i... |
# APPLYING MULTIPLICATION AND DIVISION OF RATIONAL NUMBERS
## About "Applying multiplication and division of rational numbers"
Applying multiplication and division of rational numbers :
To solve many problems in math, often we may have to use multiplication and division of rational numbers.
In this section, we are ... |
# Write shaded portion as fraction. Arrange them in ascending and descendingorder using correct sign $‘’$ between the fractions(a)(b)(c) Show $\frac{2}{6} AcademicMathematicsNCERTClass 6 #### Complete Python Prime Pack 9 Courses 2 eBooks #### Artificial Intelligence & Machine Learning Prime Pack 6 Courses 1 eBooks ####... |
2019 AMC 10B Problems/Problem 3
Problem
In a high school with $500$ students, $40\%$ of the seniors play a musical instrument, while $30\%$ of the non-seniors do not play a musical instrument. In all, $46.8\%$ of the students do not play a musical instrument. How many non-seniors play a musical instrument?
$\textbf{... |
# Hands-on Critical Thinking: Equilateral Triangles
About a month ago, I was working with my Geometry class on equilateral triangles. Using a ruler and a compass, I demonstrated how to construct an equilateral triangle. In fact, there are a number of websites that demonstrate this the same way that I did (see below).
... |
LCM the 7 and 11 is the smallest number amongst all common multiples that 7 and also 11. The first few multiples the 7 and also 11 room (7, 14, 21, 28, . . . ) and (11, 22, 33, 44, 55, 66, . . . ) respectively. There are 3 frequently used approaches to find LCM that 7 and also 11 - by prime factorization, by division m... |
## 2.1 Modeling Rates of Change
### Summary
This introductory section is intended to introduce some of the issues involved in modeling rates of change, and to set the agenda for the rest of the chapter. Given a set of time and distance data for a falling object, average speeds are calculated. On the basis of mathemat... |
Associated Topics || Dr. Math Home || Search Dr. Math
### Sum of a Sequence
```
Date: 06/10/99 at 14:25:20
From: Bethany
Subject: Sum of an embedded arithmatic sequence
Our sequence is (3, 4, 6, 9, 13, ..., 499503). We know that there are
1000 terms in the sequence. How would we figure out a formula for the
sum of t... |
## Perimeter and area
Perimeter and area formulas for various quadrilateral shapes are given below:
Perimeter is sum of the lengths of the enclosing sides of a figure.
Area is the amount of plane region enclosed by the sides of the figure.
1. Perimeter and area of a parallelogram
In a parallelogram, opposite sides... |
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The branch of mathematics that deals with the analysis and manipulation of data and numbers is called statistics. Its core functions are collection, analysis, interpretation, presentation, and organization of data. The concepts of statistics have applications across multiple disciplines such as business and data analys... |
# Fundamental Theorem of Algebra
## Find all zeroes of a polynomial, including complex solutions
Estimated6 minsto complete
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Practice Fundamental Theorem of Algebra
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Fundamental Theorem of Algebra
The... |
### Equivalent Fractions Worksheet
#### Quick Notes
The lesson on equivalent fractions explained the basics needed to complete this worksheet. Here's a short summary on what you should know:
1. Equivalent fractions are fractions that have the same value.
2. We can make use the ideas behind 'equivalent fractions' to ... |
# NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.3
NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Ex 8.3
### NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities Exercise 8.3
Ex 8.3 Class 8 Maths Question 1.
Calculate the amount and compound interest on
Solution:... |
# What are the characteristics of the graphs of the sine and cosine functions?
## What are the characteristics of the graphs of the sine and cosine functions?
The sine and cosine functions have several distinct characteristics:
• They are periodic functions with a period of.
• The domain of each function is and the ... |
# How do you find the equation of the circle given Center (8,6), r=10?
Jul 14, 2016
${x}^{2} + {y}^{2} - 16 x - 12 y = 0$
#### Explanation:
In a circle, a point moves so that it always remains at a fixed distance (called radius) from a point (called center).
Let the point be $\left(x , y\right)$ and as center of c... |
# How to solve a biquadratic equation?
Samiko
September 18, 2014
Before you start solving a biquadratic equation, you should understand how it looks and how it differs from the classical quadratic equation. Equation of the ax4+ bx2+ c = 0 is called biquadratic with one variable (an algebraic equation of the fourth de... |
Therorems
Chapter 10 Class 10 Circles
Serial order wise
### Transcript
Theorem 10.2 (Method 1) The lengths of tangents drawn from an external point to a circle are equal. Given: Let circle be with centre O and P be a point outside circle PQ and PR are two tangents to circle intersecting at point Q and R respectively... |
In Geometry, we learn about different shapes and sizes. These shapes could be two-dimensional shapes or three-dimensional, such as circles, triangles, squares, cubes, cylinders, etc. Learning about these shapes will help us to understand the kinds of shapes we come across in our daily lives. We, not only learn about th... |
Class 10 NCERT Math Solution
TOPICS
Unit-8(Examples)
Example-1 :- Given tan A = 4/3, find the other trigonometric ratios of the angle A.
Solution :-
``` Give that:
tan A = 4/3
cot A = 1/tan A = 3/4
sec² A = 1 + tan² A
= 1 + (4/3)²
= 1 + 16/9
= 25/9
sec A = 5/3
cos A = 1/sec A = 3/5
sin² A = 1 - cos² A
= 1 - (3... |
# How do you solve the inequality 9 > -3 (x - 1) ≥ -12?
Jun 24, 2018
$- 2 < x \le 5$
#### Explanation:
Given: $9 > - 3 \left(x - 1\right) \ge - 12$
$\textcolor{b l u e}{\text{Manipulate the same way you do equation.}}$
$\textcolor{b l u e}{\text{but be mindful about the inequality sign}}$
Divide throughout by 3 (... |
# Binomial theorem
The binomial theorem is used to expand polynomials of the form (x + y)n into a sum of terms of the form axbyc, where a is a positive integer coefficient and b and c are non-negative integers that sum to n. It is useful for expanding binomials raised to larger powers without having to repeatedly mult... |
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# If ${{x}^{y}}={{y}^{x}}$ and $x=2y$, then find the value of $x+y$. (Assume that $y\ne 0$) A. $3$B. $6$C. $7$D. $8$
Last updated date: 15th Jul 2024
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Hint: Take the equation ${{x}^{y}... |
# Difference between revisions of "2010 AMC 12A Problems/Problem 18"
## Problem
A 16-step path is to go from $(-4,-4)$ to $(4,4)$ with each step increasing either the $x$-coordinate or the $y$-coordinate by 1. How many such paths stay outside or on the boundary of the square $-2 \le x \le 2$, $-2 \le y \le 2$ at each... |
# Mean Median Mode Formula
The Mean, Median and Mode are the three measures of central tendency. Mean is the arithmetic average of a data set. This is found by adding the numbers in a data set and dividing by the number of observations in the data set. The median is the middle number in a data set when the numbers are... |
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# Representation & Interpretation of Data: Make Bar Graphs
Jul 28, 2023
## Bar Graph
A bar graph is a graphical representation of information.
Bars are used in bar graphs. Bar graphs can be created using vertical bars, horizontal bars, or grouped bars.
### Steps to Make a Bar... |
# How do you simplify ((-3)^0 x^4 y^-1) /( x^-1 yz ^-2)?
Jan 26, 2017
$\frac{{\left(- 3\right)}^{0} {x}^{4} {y}^{-} 1}{{x}^{-} 1 y {z}^{-} 2} = \frac{{x}^{5} {z}^{2}}{y} ^ 2$
#### Explanation:
Some rules which apply to indices:
${a}^{0} \equiv 1 ,$ $\text{given}$ $a \ne 0$
${a}^{m} / {a}^{n} \equiv {a}^{m - n} ,$... |
### Mathematics Class XI
Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Chapter 6: Sequence and Series
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter ... |
Home > Measurement > Pythagoras Theorem > Converse of Pythagoras Theorem
# Converse of Pythagoras Theorem
The converse of Pythagoras theorem is used to determine whether or not a triangle is right-angled, given the lengths of its sides. It states that:
“If the squares on one side of the triangle is equal to the sum ... |
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6. Mathematics
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8. NCERT Solutions class 12...
# NCERT Solutions class 12 Maths Exercise 2.2
### myCBSEguide App
Download the app to get CBSE Sample Papers 2023-24, NCERT Solutions (Revised), Most Important Questions, Previous Year Question Bank, Mock Tests, and Detailed Notes.... |
Quadratic Equations Class 10th Notes - Free NCERT Class 10 Maths Chapter 4 Notes - Download PDF
# Quadratic Equations Class 10th Notes - Free NCERT Class 10 Maths Chapter 4 Notes - Download PDF
Edited By Safeer PP | Updated on Mar 19, 2022 10:36 AM IST
Quadratic equations are the NCERT chapter which deals with algeb... |
# NYT Digits April 23, 2023 Answers
If you need NYT Digits April 23, 2023 Answers, we have a list of solutions for you!
Digits is a math-based game developed and published by New York Times. Each day, there are five puzzles released, and in each puzzle, players have six numbers that they can add, subtract, multiply, ... |
# SSAT Elementary Level Math : Lines
## Example Questions
← Previous 1
### Example Question #5811 : Ssat Elementary Level Quantitative (Math)
Which is true about a ray?
A ray is always shaped like a circle.
A ray extends indefinitely in both directions.
A ray is always shorter than a line segment.
A ray is a li... |
# Factors of 40: Find Divisors, Pairs, and Prime Factors
May 26, 2023
Factors are the numbers that can be multiplied together to obtain a given number. In the case of 40, there are several factors that can evenly divide it. Understanding the factors of 40 is important in various mathematical operations and can help i... |
S k i l l
i n
A R I T H M E T I C
Lesson 33
# GREATEST COMMON DIVISORLOWEST COMMON MULTIPLE
We will now learn how to find the greatest common divisor and the lowest common multiple of two numbers from their prime factorizations. (In Lesson 23 we saw how to find the LCM directly.) But first, let us see how to find a... |
## Wednesday, September 10, 2008
### Geometry - Chapter 1 - Essentials of Geometry
Chapter 1 - Essentials of Geometry
1-1 Undefined Terms:
A. Undefined terms:
their meaning is accepted without definition
1. Point: definition - is that which has no part, a dot.
2. Set: is a collection of objects
3. Line - is breathle... |
## Accenture Sample Problems On Speed
Below are three problems dealing with speed and time calculations.
Question 1
Two buses leaving from two stations 20 km away from each other travel with constant speed of 45km/hr towards each other.Find the time taken to cross each other if the length of each bus is 100m.
a)10sec... |
Hundreds and Thousands Place
Start Practice
## What are Hundreds and Thousands?
In the last lesson, you learned about Ones and Tens place values. Let's review. ā”ļø
### Ones and Tens Review
There are only 10 digits in all math:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9
When counting, what comes after 9? š¤
Yes, 10! š ... |
# Solving Equations
## Objective
SWBAT apply algebraic techniques to solve different forms of algebraic equations.
#### Big Idea
Students are reminded of the power of algebra as a general problem solving tool.
## Bell work
15 minutes
Learning Targes for solving equations
I begin this unit on solving trigonometr... |
# "Wholes and Parts" (Number Sense Series, Part 2)
May 9, 2018 | Diamond Bar
When you step into a Mathnasium Learning Center, you will often hear the term "Number Sense". What is Number Sense? This blog article goes over number sense from the definition to diving into how we use it at Mathnasium to make math make sen... |
written by Sunny Yoon
Make up linear functions f(x) and g(x). Explore, with different pairs of f(x) and g(x) the graphs for
h(x) = f(x) + g(x)
h(x) = f(x)*g(x)
h(x) = f(x)/g(x)
h(x) = f(g(x))
Summarize and illustrate.
Assumption:
When you add two linear functions f(x) and g(x), the sum of two functions h(x) is ... |
Lesson: Simple Interest
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Lesson Objective
calculate simple interest
Lesson Plan
Aim/Objective:
Key Points
Calculate simple interest
· Interest - is an amount that you pay in order to use or borrow money or the amount earned on top of money that you invest.
· Principal - is... |
# Is this permutations or combinations?
I am a bit confused. When we use the multiplicative principle are we finding the number of permutations or combinations.
An example of using this principle is where I have $5$ shirts $3$ pairs of pants and $2$ pairs of shoes and I want to find out how many ways I can wear the (... |
# Coupon collector's problem
In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: If each box of a brand of cereals contains a coupon, and there are n different types of coupons, what is the probability that mor... |
CLASS-6MENSURATION-PERIMETER OF TRIANGLE
PERIMETER OF TRIANGLE -
The perimeter of a triangle is the sum of the lengths of its three sides. The formula for calculating the perimeter of a triangle depends on the lengths of its sides, which may vary depending on the type of triangle (e.g., equilateral, isosceles, scalen... |
## Bouncing Tennis Balls
• Lesson
6-8
1
Students develop their skills in collecting and recording data using the real-world situation of a bouncing tennis ball. They use the data collected to formulate the relationship between the dependent and independent variable in their experiment.
The Activity
Students form te... |
# Find roots of the equation $y=2 \sin(3x+40), \;x \in (-2\pi, 2\pi)$
Find the roots of the equation:
$$y=2 \sin(3x+40), \;\;x \in (-2\pi, 2\pi)$$
In the book given that there are 12 roots exist. I am able get only 2 roots. Could anyone explain?
• How did you obtain the roots? Remember that $$\sin{x} = \sin{y} \Lef... |
# Solutions for Practice Test 2, The Official SAT Study Guide, Section 5
Math Lair Home > Test Preparation > Solutions for Practice Test 2, The Official SAT Study Guide, Section 5
SAT Practice Test Solutions:
2014–15 SAT Practice Test
2013–14 SAT Practice Test
The Official SAT Study Guide, second edition
• Practice Te... |
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# ABCD is a rectangle in which diagonal AC bisects $\angle $${\text{A}} as well as \angle$${\text{C}}$. Show that,(i) ABCD is square (ii) diagonal BD bisects $\angle $${\text{B}} as well as \angle$${\text{D}}$.
Last updated date: 18th Jun 2024
To... |
Table of 12 is the first table that students learn after the foundation tables from 2 to 10. The table of 10 and 11 remains very easy for the students and its difficulty starts from the table of 12. If students make a mind map then it becomes so easy.
In this post
## Table of 12 learning in Maths
A table of 12 to 20... |
# RS Aggarwal Solutions For Class 7 Maths Exercise 2A Chapter 2 Fractions
The pdf of RS Aggarwal Solutions for the Exercise 2A of Class 7 Maths Chapter 2, Fractions are available here. To cover the entire syllabus in Maths, the RS Aggarwal is an essential material as it offers a wide range of questions that test the s... |
# CBSE Class 11 Maths Revision Notes Chapter 8
## Class 11 Mathematics Revision Notes for Chapter 8 Binomial Theorem
Mathematics is one of the most crucial subjects in Class 11. Students should study the subject properly to score good marks in the final papers and other entrance examinations. Amongst all the other ch... |
# Number System-Real Numbers
Author:
Rahul Chandra Saha
M.Sc., Mathematics
### Introduction
In class IX, you came to know about real numbers. The two complementary sub-sets of real numbers are the rational numbers and irrational numbers. You have learned about them. In this chapter we will discuss more about the irr... |
Circle A has a center at (-2 ,-1 ) and a radius of 3 . Circle B has a center at (-8 ,3 ) and a radius of 1 . Do the circles overlap? If not what is the smallest distance between them?
Sep 13, 2016
no overlap, ≈ 3.211
Explanation:
What we have to do here is $\textcolor{b l u e}{\text{compare}}$ the distance ( d) bet... |
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# Prove that 3+2$\sqrt{5}$ is irrational.
CBSE/Class 10/Mathematics/UNIT I: Number systems/Real numbers/NCERT Solutions/Exercise 1.3
To pro... |
# Repeating decimal as approximation
Alignments to Content Standards: 7.NS.A.2.d
1. Use long division to find the repeating decimal that represents $\frac{29}{13}$
2. Take the number obtained by including only the first two digits after the decimal point, and multiply that by $13$.
3. Take the number obtained by incl... |
# Lesson BASICS - Arithmetic Series
Algebra -> Algebra -> Sequences-and-series -> Lesson BASICS - Arithmetic Series Log On
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Alge... |
Home » Worksheets » Factors and Multiples Worksheets
# Factors and Multiples Math Worksheets
## Factors and Multiples Worksheets & Study Resources:
Brief definition
Factors are numbers that can be multiplied together to get a new number, while multiples are the results of multiplying a number by an integer. Learners... |
# Section1.2Vector Equations and Spans¶ permalink
##### Objectives
1. Understand the equivalence between a system of linear equations and a vector equation.
2. Learn the definition of and how to draw pictures of spans.
3. Pictures: an inconsistent system of equations, a consistent system of equations, spans in and
4. ... |
# How to Convert a Binary Number Into Hexadecimal | Number System
So, hey guys today we are going to learn โHow to convert a binary number into a hexadecimal numberโ.
Before starting this blog letโs take a recap about what are binary decimal and a hexadecimal numbers. So, letโs startedโฆ
Binary Number
Bina... |
# Question #07f4e
Nov 14, 2017
$- 12 , - 13 , - 14$
#### Explanation:
$\left(- 12\right) + \left(- 13\right) + \left(- 14\right) = - 39$
You know you need 3 integers that all have about the same value because they are consecutive, so divide 39 by 3.
$\frac{39}{3} = 13$
You can then use 2 integers, one greater and o... |
## Hypothesis Testing Database
### Statistics
[2003] Joe Smith was running for mayor. His campaign manager estimated that he needed at least 40% of the popular vote in order to win. A poll of 400 people was taken and 150 indicated they would vote for Smith.
a) If we use a 10% level of significance, does he have suffi... |
# The Easy Way to Calculate CMC Uncertainty
### For Your Scope of Accreditation
One of the most frequently asked questions that I receive is “How do I convert my uncertainty estimates to a formula?” In my last post, I showed you how to calculate CMC Uncertainty using the equations in your scope of accreditation. Now,... |
Math Expressions Grade 5 Unit 5 Lesson 8 Answer Key Divide with Two Decimal Numbers
Math Expressions Common Core Grade 5 Unit 5 Lesson 8 Answer Key Divide with Two Decimal Numbers
Math Expressions Grade 5 Unit 5 Lesson 8 Homework
Divide.
Lesson 8 Divide with Two Decimal Numbers Math Expressions Question 1.
Explana... |
# Simplify Equations
## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.
Equations are the very common and used in almost every sub-topic in math. Equations consist of one or more than one unknown variables with different coefficients and constant n... |
# How do you find the radius from the area?
Method 2 Using the Area
1. Set up the formula for the area of a circle. The formula is A = π r 2 {displaystyle A=pi r^{2}} , where A {displaystyle A} equals the area of the circle, and r {displaystyle r} equals the radius.
3. Plug the area into the formula.
4. Divide the are... |
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# Estimation – Definition, Factors, and Examples
Sep 19, 2022
### Key Concepts
• Estimation
• Rounding Numbers
• Front-End Estimation
• Factors
• Composite and Prime Numbers
• L.C.M. and H.C.F.
• Multiples
• Multiples of Numbers
• Common Multiples
• Least Common Multiples
• Mul... |
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Last updated date: 07th Dec 2023
Total views: 282.3k
Views today: 7.82k
# In the adjoining figure: Name the vertex opposite to side $PQ$.
Answer
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Hint: In order to find the opposite vertex of the given side $PQ... |
# How do you convert -4 + 8i to polar form?
Jul 15, 2017
In polar coordinates, the point will be $\left(r , \theta\right) = \left(6.92 i , - 1.11 i\right)$
#### Explanation:
For coordinates in polar form, $\left(r , \theta\right)$, we need to find the value of $r$ and the value of $\theta$.
We will use Pythagoras... |
Question of Solved questions
# Question My Present age is four times the difference of my age after four years and my age three years back. How old am I?
Factorize x2+x-6
Solution:
Explanation:
On factoring the equation, we get,
x2+x-6
x2+3x-2x-6
x(x+3)-2(x+3)
(x+3)(x-2)
The simplified form of the equation x2... |
# Advanced Algebra Trigonometry Objective SWBAT solve linear equations
• Slides: 11
Advanced Algebra - Trigonometry Objective: SWBAT solve linear equations. 1
Warm Up Simplify: 1. 8 b - 3( 4 – b ) 2. -6 (m – 9) + 14 m – 20 3. 2 (b + 5) + 3 (2 b – 10) 4. -w 3 + w 2 - 7 w 2 - 8 w 3 5. 7 t (t 2 + 2) + 9 t (t – 2) 2
Vo... |
# Minors of a Matrix – Explained with Examples
-
The minors of a matrix are quantities that are obtained by deleting some rows and columns from a matrix and finding the determinant of the resulting submatrix. The minor M_{ij} is the determinant of the submatrix formed by deleting the i^{th} row and the j^{th} column... |
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# Adding and Subtracting Decimals Study Guide
based on 6 ratings
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Updated on Oct 4, 2011
## Introduction to Adding and Subtracting Decimals
What would life be without arithmetic, but a scene of horrors?
— SYDNEY SMITH, English writer (1771–1845)
This second decimal lesson focu... |
## How to turn decimals to fractions
Rewriting decimals as fractions: 0.15
Next, you want to multiply both the top and bottom of your new fraction by 10 for every digit to the left of the decimal point. In our example, has two digits after the decimal point, so we’ll want to multiply the entire fraction by 10 x 10, o... |
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# Volume
## Number of unit cubes to fill prisms, spheres, pyramids, cylinders, cones, and composite solids.
%... |
# $\sin{(0^°)}$ Proof
According to trigonometry, the exact value of sine of zero degrees is equal to zero.
$\sin{(0^°)} \,=\, 0$
The sine of angle zero degrees can be derived in mathematics in two different geometric approaches. Now, it is your time to learn how to derive the sine of angle zero radian value mathemat... |
What is the probability of winning bingo
The chance of winning bingo varies, but generally, with 75 numbers and one card per player, it’s about 1 in 25 or a 4% chance per game.
Understanding Bingo Probabilities
Understanding the probabilities of winning in bingo requires a grasp of the basic concepts of probability ... |
### CFA Practice Question
Consider the following annual growth forecasts for a common stock:
Growth in years 1-2 = 50%
Growth in years 3-4 = 25%
Growth after year 4 = 10%
Assuming that the last dividend was \$0.45 per share, and the required rate of return is 20% per year, what is the value of this common stock?
A. ... |
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