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# Rules to Subtract Integers
Integers are positive and negative number including zero and does not include the fractional part. We will discuss about the rules for subtracting of integers. There are certain rules which will help us in better understanding of subtraction of integers. This topic will discuss how integer... |
# Volume of a pyramid
Don't you know how to calculate the volume of a pyramid? Use our online calculator and find out without knowing the formula.
Just select the shape of the base of the pyramid and type in the tool some data such as the height of the figure or how long one of the sides of the base is. And remember ... |
# Angle Between Two Vectors with Cross Product
There are situations when you need to find out the angle between two vectors and the only thing you know are vectors coordinates. The same forma is used for 2D vectors and 3D vectors as well.
So there are a few concepts that we should be familiar with:
1) Cross Product... |
## Fractions are Hard!
### 1.4 Even division is confusing
There are actually two different ways to think about division. Consider, for example, $$20 \div 5$$.
DIVISION AS GROUPING
The question $$20 \div 5$$ can be interpreted as: How many groups of five can you find among twenty?
We see four groups of five.
We ha... |
# 3.3 Average and instantaneous acceleration (Page 2/7)
Page 2 / 7
The term deceleration can cause confusion in our analysis because it is not a vector and it does not point to a specific direction with respect to a coordinate system, so we do not use it. Acceleration is a vector, so we must choose the appropriate ... |
# NCERT Solutions class-11 Maths Miscellaneous
## myCBSEguide App
CBSE, NCERT, JEE Main, NEET-UG, NDA, Exam Papers, Question Bank, NCERT Solutions, Exemplars, Revision Notes, Free Videos, MCQ Tests & more.
Miscellaneous Exercise
1. How many words, with or without meaning, each of 2 vowels and 3 consonants can be fo... |
# Properties of Parallelograms
The broadest term we’ve used to describe any kind of shape is “polygon.” When we
in the last section, we essentially just specified that they were polygons with four
vertices and four sides. Still, we will get more specific in this section and discuss
a special type of quadrilateral: the... |
# Pattern for all the binary chains divisible by 5
For instance, $$x = 101$$ is divisible by $$5$$ because it is the integer 5. Same thing for $$x=1111$$ is also divisible by 5 as it is the integer 15. However, $$x=1100$$ is not divisible by $$5$$ as it is the integer 12.
Is there a pattern the recognise the binary c... |
# Difference between revisions of "2018 AMC 10B Problems/Problem 12"
## Problem
Line segment $\overline{AB}$ is a diameter of a circle with $AB=24$. Point $C$, not equal to $A$ or $B$, lies on the circle. As point $C$ moves around the circle, the centroid (center of mass) of $\triangle{ABC}$ traces out a closed curve... |
# How do you find the area of a isosceles triangle with base 10 and perimeter 36?
May 2, 2018
The area is $60$ square units
#### Explanation:
Giving us the perimeter of an isosceles triangle means we are indirectly given the lengths of the three sides.
If the base is $10$, the the other two equal sides add to $26$... |
Question Video: Finding the Integration of a Function Involving Using Laws of Exponents and the Power Rule with Fractional Exponents | Nagwa Question Video: Finding the Integration of a Function Involving Using Laws of Exponents and the Power Rule with Fractional Exponents | Nagwa
# Question Video: Finding the Integra... |
# How to Calculate Work
Work is energy transferred to an object through force or displacement. It is often represented as the product of displacement and force. A person performing an action transfers energy to an object, which is then embodied in the object’s physical state. There are several ways to calculate work. ... |
### Home > CC3 > Chapter 9 > Lesson 9.2.1 > Problem9-64
9-64.
Use the graph at right to answer the following questions.
1. What kind of growth does this graph show? How do you know?
Does the graph show linear growth or non-linear growth? You can tell because linear growth creates a line.
2. What is this graph desc... |
## How to Solve Multi Step Equations?
Read,3 minutes
Multi-step equations are equations that have to be solved by two consequent steps. Here we have to apply at least two mathematical operations and then only, we can find the value of the unknown variable.
### Properties of Multi-Step Equations
There are several pr... |
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# Fall 2002CMSC 203 - Discrete Structures1 If I told you once, it must be... Recursion.
## Presentation on theme: "Fall 2002CMSC 203 - Discrete Structures1 If I told you once, it must be... Recursion."— Presentation transcript:
Fall 2002CMSC 203 - Discrete Structures1 If I told ... |
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# Fundamental Rules of Geometry for Physics Help
(not rated)
By — McGraw-Hill Professional
Updated on Sep 17, 2011
## Fundamental Rules
The fundamental rules of geometry are used widely in physics and engineering. These go all the way back to the time of the ancient Egyptians and ... |
# Partial Products and Standard Algorithm
Related Topics:
Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
Examples, solutions, and videos to help Grade 4 students learn how to connect the area model and the partial products method to the standard algorithm.
Common Core Standards: 4... |
# How do you write 100 divided by 5?
## How do you write 100 divided by 5?
100 divided by 5 is 20.
## How do you do 100 divided by 2?
Using a calculator, if you typed in 100 divided by 2, you’d get 50. You could also express 100/2 as a mixed fraction: 50 0/2.
How do you write 30 divided by 5?
Using a calculator, ... |
## Exponential Equations with Unlike Bases
### Learning Outcomes
• Use logarithms to solve exponential equations whose terms cannot be rewritten with the same base
• Solve exponential equations of the form $y=A{e}^{kt}$ for t
• Recognize when there may be extraneous solutions or no solutions for exponential equation... |
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# Question #f992a
##### 1 Answer
Jul 4, 2016
The equation has infinitely many solutions. See below.
#### Explanation:
The important thing to realize in order to solve this problem is that if square roots are multiplied, you can group them together. In math terms:
$\sqrt{a} \cdot \sqrt{b} = \sqrt{a b}$
So, for exam... |
# Concept: Percentage
CONTENTS
INTRODUCTION
Concept of percentage is very important in any MBA Entrance Exam, because there are a lot of questions related to the use of percentages in Profit & Loss, Time & Work, Speed & Distance. Apart from this percentage plays an important role in handling Data Interpretation (DI)... |
# 38316: Unlocking the Secrets of DNA Structure
Do fractions make you quiver and shake?
Well, fear no more!
By harnessing the power of the least common denominator (LCD), you’ll be able to conquer these perplexing problems in no time.
Plus, we’ll introduce you to a handy MathStep app that’ll make learning and pract... |
Decimals are taught in elementary school mathematics. After learning multiplication with decimals, you need to be able to do division.
When calculating decimals, a division is a bit more complicated. This is because it is not always divisible. You have to calculate until you can divide, or use the remainder to get the... |
Question Video: Graphing Systems of Inequalities with Parabolas | Nagwa Question Video: Graphing Systems of Inequalities with Parabolas | Nagwa
Question Video: Graphing Systems of Inequalities with Parabolas
Determine which region in the graph contains all the solutions to the following system of inequalities: 𝑦 ≤ (... |
# What are the 8 commutative properties?
## What are the 8 commutative properties?
The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.
### What are multiplicative properties?
PROPERTIES OF MULTIPLICATION
Identity Property There is a unique real ... |
# Derivative of root sinx by Chain Rule
The derivative of root sinx is equal to cosx/(2√sinx). In this post, we will learn how to differentiate square root of sinx by the chain rule of derivatives.
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## Derivative of Square Root of Sin x by Chain Rule... |
Discrete Structure
1 / 18
# Discrete Structure - PowerPoint PPT Presentation
Discrete Structure. Li Tak Sing( 李德成 ). Chapter 4 Properties of Binary Relations. Three special properties For a binary relation R on a set A, we have the following definitions. R is reflexive if xRx for all x A. R is symmetric if xRy impl... |
The domain represents all the possible values that act as input which defines the function. For instance, in a graph, the domain consists of all the possible input values in X, and the Y domain consists of all the output values.
### How to Find the Domain of a Rational Function with a Square Root?
Certainly here are ... |
# Exponential Decay
## Rational functions with x as an exponent in the denominator
Estimated11 minsto complete
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Exponential Decay
Suppose the amount of a radioactive subs... |
# What Is The Solution To The Linear Equation? 4b + 6 = 2 – B + 4
• Puzzle
Solving linear equations is a fundamental part of solving linear problems. Linear equations are defined as equations that have variables that are only multiplied by numbers, not divided by numbers or raised to higher powers.
For example, x = ... |
# NCERT Solutions for Class 10 Maths Chapter 6 Triangles
## NCERT Solutions for Class 10 Maths Chapter 6 – Download Free PDF
NCERT Solutions for Class 10 Maths Chapter 6 Triangles are provided here, which is considered to be one of the most important study materials for the students studying in CBSE Class 10. Chapt... |
Instructions
Answer the questions based on the following information. A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their digits interchanged.Although, the total sales value remained the same, i.e. Rs. 1,... |
## Elementary Studies
### Decimal Place Value
August is already here! Lazy mornings of summer holidays are just flying by and a new school year is starting soon. I will miss the summer fun, but I am more than ready to start another thrilling academic year with new goals, new challenges, and a hope to make this the be... |
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# Math Lesson 3: Displaying Data Graphically - page 10 / 11
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A data entry is an outlier if it is more than one-and-a-half times the inter-quartile range above Q3 or below Q1.
To find out if the score of 32 is really an outlier, first compute the IQR of the data set... |
# An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from (2 ,5 ) to (8 ,7 ) and the triangle's area is 12 , what are the possible coordinates of the triangle's third corner?
Nov 17, 2016
The possible points are: $\left(3.8 , 9.6\right)$ and $\left(6.2 , 2.4\right)$
... |
1. ## area between curves.
I have attached the sketch of the curves,
I am not sure how to integrate, because one part is below the x-axis and the other is above.
Appreciate if someone can show me how to solve these problems.
2. If you subtract $\displaystyle x^2-4x$ from $\displaystyle 4x-x^2,$
then you will alway... |
Calculus - Area under a Curve
In these lessons, we will learn how to use integrals (or integration) to find the areas under the curves defined by the graphs of functions. We also learn how to use integrals to find areas between the graphs of two functions.
We have also included calculators and tools that can help you... |
It"s very common once learning about fractions to desire to understand how transform a fraction like 9/15 right into a percentage. In this step-by-step guide, we"ll display you exactly how to rotate any portion into a portion really easily. Let"s take a look!
Want to easily learn or present students how to transform 9... |
# Difference between revisions of "2009 IMO Problems/Problem 2"
## Problem
Let $ABC$ be a triangle with circumcentre $O$. The points $P$ and $Q$ are interior points of the sides $CA$ and $AB$ respectively. Let $K,L$ and $M$ be the midpoints of the segments $BP,CQ$ and $PQ$, respectively, and let $\Gamma$ be the circl... |
In algebra, the Least Common Multiple (LCM) of a set of numbers is the smallest number that can be divided evenly by each of the numbers in the set. The Greatest Common Factor (GCM) is the biggest number that is a factor of all the numbers in the set. It is important to remember that the Least Common Multiple is always... |
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What Is 10 Percent of 16 OR
# What Is 10 Percent of 16
Few people look forward to answering math questions in school. But finding a good, solid solution - to a challenging math problem- can come in very handy when you’re trying to do math on your own.
### Divide
One of the easiest ways to determine a 1... |
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# Answer the following questions considering the age of Ram is $y$ years and he is $\dfrac{1}{6}$ of his grandfather's age: If his grandmother's age is two years less than his grandfather's age, what is the age of his grandmother?
Last updated da... |
### Chapter 1: Introduction to Statistics
```COURSE: JUST 3900
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Chapter 5:
z-Scores
Developed By:
John Lohman
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Key Terms and Formulas: Don’t
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Describing z-Scores
Question 1: Identify the z-score value corresponding to
each of the following locations in a ... |
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# Shobo's mother's present age is six times Shobo's present age. Shobo's age five years from now will be one third of his mother's present age. What are their present ages?
Last updated date: 17th Jul 2024
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Views today: 6.50k
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# KIDS MATHS PROJECT - Learning Multiplication Of Numbers by making a multiplication wheel
Good day lovely hivers and @homeedders. How are you all doing today ?.
My little boy Josh is now becoming a big boy ( so he says) and we have started learning some basic arithmetic like multiplication, addition, subtraction and... |
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# There were $50$ people at the birthday party. John invited $125$ people. Among those who attended, only $36\%$ brought gifts. How many guests brought gifts?a) $125$ peopleb) $50$ peoplec)$18$ peopled) $32$ people
Last updated date: 20th Jul 202... |
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# Find the equation of the line passing through the point of intersection of 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x + 4y = 7.
$\begin {array} {1 1} (A)\;3x+4y+3=0 & \quad (B)\;3x-4y-3=0 \\ (C)\;3x+4y-3=0 & \quad (D)\;3x-4y+3=0 \end {array}$
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Toolbox:
• If two lines are p... |
Math 20 Math 25 Math Tips davidvs.net
# Math Lecture NotesArithmetic Skills
## Divisibility Rules
Some divisibility rules you already know:
• A number divisible by 2 is even, and its one's digit is 0, 2, 4, 6, or 8.
• A number divisible by 5 has for its one's digit either 0 or 5.
• A number divisible by 10 has 0 as... |
# Mathematical Food for Thought
• ## About
Serves a Daily Special and an All-You-Can-Eat Course in Problem Solving. Courtesy of me, Jeffrey Wang.
• ## Meta
Leftovers. Topic: Algebra/Polynomials. Level: AIME. December 22nd, 2006 Problem: (Stanford Putnam Practice) Find the remainder when you divide by . Solution: S... |
# My Add Maths Modules - Indices And Logarithm by nklye
VIEWS: 6,067 PAGES: 15
• pg 1
``` Additional Mathematics Form 4
Topic 5:
DELIGHT
(Version 2007)
by NgKL
(M.Ed.,B.Sc.Hons.,Dip.Ed.,Dip.Edu.Mgt.,Cert.NPQH)
5.1
INDICES AND LAWS OF INDICES
2.
IMPORTANT NOTES:
1. For an index number an, (read as a rais... |
January 3, 2014
# Series based questions MBA CET
Series based questions MBA CET and NMAT SNAP TISS CMAT Bank PO and other exams
What is Number Series?
Number series is a arrangement of numbers in a certain order, where some numbers are wrongly put into the series of numbers and some number is missing in that series... |
## Engage NY Eureka Math 1st Grade Module 2 Lesson 23 Answer Key
### Eureka Math Grade 1 Module 2 Lesson 23 Sprint Answer Key
A
*Write the missing number.
Question 1.
2 + ☐ = 3
2 + 1 = 3
Explanation:
An addition sentence is a mathematical expression that shows two or more values added together. ADD two with one then... |
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Class 9 NCERT Solutions- Chapter 13 Surface Areas And Volumes – Exercise 13.2
• Last Updated : 28 Dec, 2020
### Question 1. The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. Find the diameter of the base of the cylinder.
Solution:
Given:
i) Height of cylinder(h)=14 cm
... |
# Mean and standard deviation of 100 observations
`
Question:
Mean and standard deviation of 100 observations were found to be 40 and 10, respectively. If at the time of calculation two observations were wrongly taken as 30 and 70 in place of 3 and 27 respectively, find the correct standard deviation.
Solution:
Giv... |
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டவுன்லோடு செய்யுங்கள்
In the previous topics, we have seen how to plot the points $$(1,5)$$, $$(-9, 10)$$.
Is it possible to plot the points with much bigger values $$(56, 78)$$, ... |
# 2.5: Second Derivatives and Exact Differentials
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# Difference between revisions of "2013 AMC 10A Problems/Problem 13"
## Problem
How many three-digit numbers are not divisible by $5$, have digits that sum to less than $20$, and have the first digit equal to the third digit?
$\textbf{(A)}\ 52 \qquad\textbf{(B)}\ 60 \qquad\textbf{(C)}\ 66 \qquad\textbf{(D)}\ 68 \qqu... |
# Cartesian plane
## Cartesian Coordinates System
The Cartesian plane was created by René Descartes to help people identify where something was located on a map or a graph. It uses a relationship between two variables. What are the elements to a Cartesian Coordinates System? Let's find out!
## X and Y Axis
The main... |
# Convert zebi to one
Learn how to convert 1 zebi to one step by step.
## Calculation Breakdown
Set up the equation
$$1.0\left(zebi\right)={\color{rgb(20,165,174)} x}$$
Define the prefix value(s)
$$The \text{ } value \text{ } of \text{ } zebi \text{ } is \text{ } 2.0^{70}$$
Insert known values into the conversion eq... |
# How to find the limit of a function involving a quadratic equation?
How to find the limit of a function involving a quadratic equation? For example, we have seen that it can be used to determine whether $E=f(f^{-2n})$ in a quadratic equation. But there is, of course, a more satisfactory expression of this function. ... |
Home » Worksheets » Integers » Understanding Positive and Negative Integers 6th Grade Math Worksheets
# Understanding Positive and Negative Integers 6th Grade Math Worksheets
Click the button below to get instant access to these premium worksheets for use in the classroom or at a home.
This worksheet can be edited b... |
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MT1_sol - Feb 7 2008 NAME Math 425 SECTION 8 MIDTERM 1...
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Feb 7, 2008 NAME: Math 425, SECTION 8 MIDTERM 1 – SOLUTIONS Problem 1 [20 pts] A poker hand consisting of 5 cards is dealt from a standard de... |
Algebra II : Setting Up Expressions
Example Questions
Example Question #1 : Setting Up Expressions
Carla wants to sell stickers to advertise her website. The machine that makes stickers costs $22, and each sticker costs$2 to make. She plans to sell these stickers for $3 each. Write an equation that describes the num... |
# 2005 AIME II Problems/Problem 1
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
## Problem
A game uses a deck of $n$ different cards, where $n$ is an integer and $n \geq 6.$ The number of possible sets of 6 cards that can be drawn from the deck is 6 times the number of possible sets of 3... |
MTH 142 Practice Problems for Exam 1 Last updated 9/25/00
This is a selection of sample problems. The actual test will have fewer problems.
Part I. No Calculators
You may not have a calculator while this part of the test is in your posession. When you are through with this part, hand it in. Then you may work on ... |
# What is a 2 step problem?
## What is a 2 step problem?
Two-step word problems are problems in which two separate calculations (usually different operations) are required to reach the answer. By different operations we mean addition, subtraction, multiplication or division.
## How do you do two step equations?
Stu... |
# Session 3: Exploring Data - Module A: Mean, Median & Mode
## 1. Overview
What is central tendency?
Computing mean, median, and mode.
Visual representation using a program.
## 2. What is Central Tendency?
Let's start with an example. Let's say your Geography class gives you a pop quiz. As your teacher is handing b... |
# Systems of Equations
Hand written (by myself) collection of physical formulas.
Systems of equations are sets of equations where the solution is the intersecting point or points between the equations. Most of the systems of equations seen in algebra are sets of two linear equations in the standard form i.e Ax + By =... |
Lesson 12
Constructing the Coordinate Plane
12.1: English Winter (5 minutes)
Warm-up
The purpose of this warm-up is for students to reason about the need for quadrants beyond the first quadrant in the coordinate plane when representing data within a situation's context. When choosing an appropriate set of axes, stu... |
Perimeter of a Rhombus
Perimeter of a Rhombus
Perimeter of a Rhombus
We know that the rhombus is a plane figure or two-dimensional figure. All the sides of a rhombus are equal. The opposite sides of a rhombus are parallel and the opposite angles are equal. Its diagonals bisect each other at 90°.
The perimeter of a ... |
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# Maths Portfolio Infinite Surds
Extracts from this document...
Introduction
Maths Portfolio
SL Type 1
Infinite ... |
SSAT Upper Level Math : Perpendicular Lines
Example Questions
← Previous 1 3 4
Example Question #1 : How To Find Out If Lines Are Perpendicular
Two perpendicular lines intersect at the point . One line passes through point ; the other passes through point . Evaluate .
Explanation:
The line that passes through an... |
# What is 84 percent of 50?
WRITTEN BY: supportmymoto.com STAFF
#### Answer for What’s 84 p.c of 50:
84 p.c * 50 =
(84:100)* 50 =
(84* 50):100 =
4200:100 = 42
Now now we have: 84 p.c of 50 = 42
Query: What’s 84 p.c of 50?
Step 1: Our output worth is 50.
Step 2: We characterize the unknown worth with {x}.
Ste... |
# Introduction to Progressions
Go back to 'Arithmetic-Geometric'
In our study of Mathematics, we will encounter various kinds of progressions, which are sequences of numbers with a definite relationship between successive numbers. Let us consider a few examples of progressions.
Consider the following sequence of nu... |
# Which is not part of the circle?
## Which is not part of the circle?
Answer: The points within the hula hoop are not part of the circle and are called interior points. The distance between the midpoint and the circleborder is called the radius. A line segment that has the endpoints on the circle and passes through ... |
Question of Exercise 1
Question
Option 1 250°
Option 2 40°
Option 3 120°
Option 4 45°
Simplify the following expressions
(√(5) + √(2))2
Solution:
Explanation:
Which of the following rational numbers lies between 0 and - 1
A: 0
B: - 1
C: -1/4
D: 1/4
Solution:
Explanation:
0 and 1 cannot be found between... |
Intermediate Algebra 2e
# 3.1Graph Linear Equations in Two Variables
Intermediate Algebra 2e3.1 Graph Linear Equations in Two Variables
## Learning Objectives
By the end of this section, you will be able to:
• Plot points in a rectangular coordinate system
• Graph a linear equation by plotting points
• Graph verti... |
# Lesson 9
Drawing Triangles (Part 1)
Let’s see how many different triangles we can draw with certain measurements.
### 9.1: Which One Doesn’t Belong: Triangles
Which one doesn’t belong?
### 9.2: Does Your Triangle Match Theirs?
Three students have each drawn a triangle. For each description:
1. Drag the vertice... |
## Algebra 1
Published by Prentice Hall
# Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Practice and Problem-Solving Exercises - Page 106: 22
b = 7
#### Work Step by Step
8 - (3 + b) = b - 9 Use the distributive property: 8 - 1(3) + -1(b) = b - 9 Simplify: 8 - 3 - b = b - 9 T... |
# What Is The Slope-Intercept Form Of The Equation Of The Line Shown In The Graph?
## The Definition, Formula, and Problem Example of the Slope-Intercept Form
What Is The Slope-Intercept Form Of The Equation Of The Line Shown In The Graph? – There are many forms employed to represent a linear equation, among the ones... |
# How do you factor 125x^3-27?
May 9, 2018
$\left(5 x - 3\right) \left(25 {x}^{2} + 15 x + 9\right)$
#### Explanation:
$125 {x}^{3} - 27 \text{ is a "color(blue)"difference of cubes}$
$\text{and factors in general as}$
•color(white)(x)a^3-b^3=(a-b)(a^2+ab+b^2)
$125 {x}^{3} = {\left(5 x\right)}^{3} \Rightarrow a ... |
# Lesson: Fractions: Adding and Subtracting Like Fractions
Tara Smith E.l. Haynes Pcs Washington, DC
9195 Views
119 Downloads
15 Favorites
### Lesson Objective
SWBAT find the sum or difference of fractions with like denominators.
### Lesson Plan
Materials Needed: scrap paper for DN and GP, Example Like Denominator... |
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# What Are the First and Third Quartiles?
There are several ways to measure the center of a set of data. The mean, median, mode and midrange all have their advan... |
# What is the molar mass of a gas if 3.50 grams of the gas occupy 1.35 liters of space at STP?
Jun 18, 2018
The molar mass of the gas is $\text{58.9 g/mol}$.
#### Explanation:
You will need to use the equation for the ideal gas law:
$P V = n R T$,
where:
$P$ is pressure, $V$ is volume, $n$ is moles, $R$ is gas c... |
BREAKING NEWS
Linearity of differentiation
## Summary
In calculus, the derivative of any linear combination of functions equals the same linear combination of the derivatives of the functions;[1] this property is known as linearity of differentiation, the rule of linearity,[2] or the superposition rule for differenti... |
Select Board & Class
Probability
Sample Space and Events of Experiments
Consider the experiment of throwing a dice. Any of the numbers 1, 2, 3, 4, 5, or 6 can come up on the upper face of the dice. We can easily find the probability of getting a number 5 on the upper face of the dice?
Mathematically, probability of... |
# What Is 60/80 as a Decimal + Solution With Free Steps
The fraction 60/80 as a decimal is equal to 0.75.
The fraction 60/80 is a proper fraction. The number on the top of the line is called the numerator. The number below the line is called the denominator. After applying the division method, the quotient and remain... |
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# Identification and Writing of Equivalent Rates
## Understand that equivalent rates are equivalent ratios.
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$\newcommand{\N}{\mathbb{N}} \newcommand{\Z}{\mathbb{Z}} \newcommand{\R}{\mathbb{R}} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&}$
Section7.4Continuous Functions
Subsection7.4.1Continuity
Recall our definition of continuity for a function at a single point.
Definition7.4.1Continuity at a Point
A fu... |
# Integer Sequences I: The Fibonacci Sequence
## Introductory Remarks
This lesson could be subtitled "Guess my rule." I write a sequence of four or five numbers on the board. I then ask the students what number comes next. After the students have correctly added two or three numbers, I ask what rule they are using to... |
In today’s post, we are going to see some problems involving distance conversions, and give some advice for solving them.
#### Problem number 1 with distance conversions
##### Silver Beard: the Pirate Problem
The Pirate, Silver Beard, has arrived on Coral island to search for treasure. On the map, it says that, fro... |
# The area of a right triangle
I right triangle i a triangle where the angle between two of the sides is $90°$. If you want to calculate the area of that triangle you need to know those two sides.
The area is calculated with
$Area = \frac{a \cdot b}{2}$
Multiply the base and the hight with each other and divide wit... |
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If $x=1+2i$ then prove that ${{x}^{3}}+7{{x}^{2}}-13x+16=-29$.
Last updated date: 25th Jul 2024
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Hint: It is given that $x=1+2i$. Using this, find out ${{x}^{2}}$ and ${{x}^{3}}$ and then ... |
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# ISI MStat PSB 2010 Problem 2 | Combinatorics
This is a beautiful sample problem from ISI MStat 2010 PSB Problem 2. This is based how one can find the number of isosceles triangles with sides of integer length one can construct, using simple counting principles . We provide detailed solution with prerequi... |
# What is the vertex of y= -2(x - 4)^2 - 5x+3 ?
Jan 6, 2016
The vertex is $\left(\frac{11}{4} , - \frac{111}{8}\right)$
#### Explanation:
One of the forms of the equation of a parabola is $y = a {\left(x - h\right)}^{2} + k$ where (h, k) is the vertex. We can transform the above equation into this format to determi... |
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# Test yourself now
High marks in science are the key to your success and future plans. Test yourself and learn more on Siyavula... |
# How do you solve | 1/2-3/4x | + 1=3 ?
Mar 2, 2016
$-$2 and 10/3.
#### Explanation:
The given equation is equivalent to the pair 1/2$-$3 x/4 = $\pm$2.
Mar 2, 2016
$x = - 2 \text{ or "x=10/3" }$Note that $\frac{10}{3} = 3.33 \overline{3}$
#### Explanation:
The very nature of this type of problem is that it usua... |
### Learning Objectives
By the end of this section, you will be able to:
• Use the Product Property to simplify radical expressions
• Use the Quotient Property to simplify radical expressions
Before you get started, take this readiness quiz.
1. Simplify:
If you missed this problem, review (Figure).
2. Simplify:
... |
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