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As promised, in this post, I will discuss the questions I gave you in the last post. Let’s apply the rules of exponents that we have learned. I will recap all the rules first and then we will proceed to the questions.
Rule 1: a^m × a^n = a^(m + n)
Rule 2: a^m / a^n = a^(m – n)
Rule 3: (a^m)^n = a^mn
Rule 4: For any... |
What is the derivative of (sinx + cosx) / (sinx - cosx)?
Then teach the underlying concepts
Don't copy without citing sources
preview
?
Explanation
Explain in detail...
Explanation:
I want someone to double check my answer
52
Jul 29, 2015
${y}^{'} = - \frac{2}{\sin x - \cos x} ^ 2$
Explanation:
Start by taking... |
### Brentwood’s Number 1 Tuition Centre for Maths, English and 11+
Call us today on: 01277 554 031
# How To Teach Halving Shapes and Numbers to Children
## HALVING SHAPES
Before teaching a child to halve a number, make sure that they can halve a shape. Most children find it easy to halve a shape and don’t realise t... |
## The Dot Product of Two Vectors. Definition of the Dot Product. Properties of the Dot Product. 3. u v w u v u w. 5. c u v cu v u cv
333202_0604.qxd 460 12/5/05 Chapter 6 6.4 10:44 AM Page 460 Additional Topics in Trigonometry Vectors and Dot Products What you should learn ...
Author: Kenneth Osborne
333202_0604.qxd
... |
# Introduction to Converting a Decimal to a Percentage Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Introduction to Converting a Decimal to a Percentage. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can c... |
# 1. Solve equations with variables on both sides. 2. Solve equations containing grouping symbols Objectives The student will be able to: Designed by Skip.
## Presentation on theme: "1. Solve equations with variables on both sides. 2. Solve equations containing grouping symbols Objectives The student will be able to: ... |
# What is the expectation of getting 5 on a roll of a dice?
Contents
Roll a… Probability
2 1/36 (2.778%)
3 2/36 (5.556%)
4 3/36 (8.333%)
5 4/36 (11.111%)
## What is the probability of getting a 5 when you roll a dice?
Probabilities for the two dice
Total Number of combinations Probability
4 3 8.33%
5 4 11.11%
6 5 1... |
# A parabola has a vertex at 00 the focus of the parabola is located at 40
## What is a parabola?
A parabola is a two-dimensional, symmetrical curve, defined by a quadratic equation. A parabola has several important properties that make it useful in many applications, from mathematics and physics to engineering and a... |
# 1988 AIME Problems/Problem 14
## Problem
Let $C$ be the graph of $xy = 1$, and denote by $C^*$ the reflection of $C$ in the line $y = 2x$. Let the equation of $C^*$ be written in the form
$$12x^2 + bxy + cy^2 + d = 0.$$
Find the product $bc$.
## Solution
Given a point $P (x,y)$ on $C$, we look to find a formula... |
Equilateral Triangle
Equilateral Triangle
To construct an equilateral triangle we can use the regular polygon tool and construct a three sided regular polygon. This is a triangle whose angles and sides have equal measures. Also we can construct a line segment, rotate it around the point of the line segment countercl... |
# Chapter 1: Expressions, Equations, and Functions
Difficulty Level: Basic Created by: CK-12
## Introduction
The study of expressions, equations, and functions is the basis of mathematics. Each mathematical subject requires knowledge of manipulating equations to solve for a variable. Careers such as automobile accid... |
Step 1
Of course, you can not add 2 fractions if the denominators (bottom numbers) don"t match. To gain a widespread denominator, multiply the denominators together. Then we solve the numerators by multiplying each one by their various other term"s denominator.
You are watching: What is 2/3 of 4/5
Now you multiply 2... |
Mathematics Part I Solutions Solutions for Class 9 Maths Chapter 2 Real Numbers are provided here with simple step-by-step explanations. These solutions for Real Numbers are extremely popular among Class 9 students for Maths Real Numbers Solutions come handy for quickly completing your homework and preparing for exams.... |
Resource Lesson Freefall: Horizontally Released Projectiles (2D-Motion)
When a projectile is released with a non-zero horizontal velocity, its trajectory takes on the shape of a parabola. There are now two dimensions to its motion:
• Vertically, gravity is still accelerating it at -9.8 m/sec2
• Horizontally, there is ... |
# Understanding Fractions
Lesson Objective
Need help in understanding fractions? This lesson will show you the basic ideas on fractions and the common terms used in describing fractions...
To begin understanding fractions, this lesson introduces you the basic ideas behind fractions.
This lesson will also shows the co... |
# Often asked: How Many Ways Can You Hang 5 Paintings Ona Wall?
## How many ways can you arrange 5 pictures on a wall?
5! (7−5)! So there are a total 21 ways of selecting 5 pictures.
## How many ways can 3 paintings be lined up on a wall?
To find the number of ways to select 3 of the 4 paintings, disregarding the o... |
# 7-4 Applications of Linear Systems
Document Sample
``` Applications of Linear Systems
1. It costs \$11.46 for 4 hamburgers and 6
milkshakes and \$2.47 for 2 hamburgers and 1
milkshake. Determine the cost of 1
hamburger and 1 milkshake.
It costs \$11.46 for 4 hamburgers and 6 milkshakes and \$2.47 for 2 hambu... |
# Verify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems
##... |
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# 45000 Divided By 12: A Comprehensive Guide
## Introduction
In this article, we will be discussing the mathematical calculation of 45000 divided by 12. This is a basic arithmetic problem, but it is important to understand the fundamentals of division in order to solve more complex problems.
## What i... |
# Properties of Parallel Lines
What are Parallel Lines?
Two lines in a plane are said to be parallel if they do not intersect, when extended infinitely in both the direction.
Also, the distance between the two lines is the same throughout.
Parallel Lines
The symbol for denoting parallel lines is ∥.
If lines l and... |
## 17Calculus Precalculus - Difference Quotient
##### 17Calculus
Difference Quotient
An important expression in calculus is a difference quotient. When you have a function, for example $$f(x)=x^2+3x$$, we can evaluate this expression at a point, say $$x=5$$ by replacing all $$x$$'s in the function with the number $$... |
# Unit Digit Method for Cryptarithmetic Problems
## Cryptarithmetic Unit Digit Method
When to use Unit Digit Method?
• When you don’t know how to solve the problem and just can’t get started.
• You think the problem is really tough to solve.
• In this case you have to start hit and trial with the possible values of ... |
Paul's Online Notes
Home / Calculus I / Applications of Derivatives / Critical Points
Show Mobile Notice Show All Notes Hide All Notes
Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in ... |
# 4th Class Mathematics Geometry Geometry
## Geometry
Category : 4th Class
LEARNING OBJECTIVES
• understand two dimensional and three dimensional geometrical figures.
• learn about line symmetry, symmetrical and asymmetrical shapes.
• determine the number of line of symmetry.
• identify the different types of trian... |
# 005 Sample Final A, Question 19
Question Consider the following function,
${\displaystyle f(x)=-\sin \left(3x+{\frac {\pi }{2}}\right)+1}$
a. What is the amplitude?
b. What is the period?
c. What is the phase shift?
d. What is the vertical shift?
e. Graph one cycle of f(x). Make sure to label five key points.
Fou... |
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# What is Trigonometry
Trigonometry can be used in finding the measure of the angles, their function values and also the sides of a triangle. The 6 trigonometric functions can be used to find the remaining side or angle in a right triangle. These calculations give rise to trigonometric ratios in a... |
# How to Inscribe a Regular Polygon within a Circle
In the vast world of geometry, the art of inscribing polygons within circles unveils the beauty of precision and symmetry. Regular polygons, with their equal sides and angles, fit perfectly inside a circle, touching the circumference at all their vertices. This harmo... |
Which line has a slope of 7 and goes through the point (3,6)?
Which line has a slope of 7 and goes through the point (3,6)?
Apr 7, 2018
$y - 6 = 7 \left(x - 3\right) \leftarrow$ Point-Slope form
$y = 7 x - 15 \leftarrow$ Slope-Intercept form
Explanation:
We'll make use of the point-slope formula which is:
$y - {... |
- +
250 Words
# Differential equation
Differential equation can be defined as the finding out the differentiation of the mathematicsgiven equation. To find out the differential equation of the function we need to use differential equation formulas. There are two types of differentiation they are ordinary differentiat... |
# Composition of functions
If we have two or more functions that are contained within each other, we call it compound functions. Its general expression is as follows:
The value of the compound function in x is equal to the function f evaluated in g (x).
## Definition
Given two functions f and g, the composite funct... |
# Math Project-Based Learning: Properties of Multiplication | 3.OA.B.5 | 3rd Grade
\$5.00
CCSS Standards:
Save When You Purchase in a Bundle!
# Math Project-Based Learning: Properties of Multiplication | 3.OA.B.5 | 3rd Grade
\$5.00
CCSS Standards:
Save When You Purchase in a Bundle!
## Description
This 5-day p... |
# Unit Conversion
In the area of science and mathematics, it is needed many times to convert the units of some measurement into other units. It is termed as unit conversion. Sometimes it is more important while solving the problem. To carry out the calculations, mathematical conversions are being done. For example, to... |
# 2019 AMC 8 Problems/Problem 20
## Problem 20
How many different real numbers $x$ satisfy the equation $$(x^{2}-5)^{2}=16?$$
$\textbf{(A) }0\qquad\textbf{(B) }1\qquad\textbf{(C) }2\qquad\textbf{(D) }4\qquad\textbf{(E) }8$
## Solution 1
We have that $(x^2-5)^2 = 16$ if and only if $x^2-5 = \pm 4$. If $x^2-5 = 4$, ... |
Year 8 Interactive Maths - Second Edition
## Constructing Angles of 60º, 120º, 30º and 90º
In this section, we will consider the construction of some angles with special sizes.
### Constructing a 60º Angle
We know that the angles in an equilateral triangle are all 60º in size. This suggests that to construct a 60º... |
# 5.8: Compound Interest
Difficulty Level: At Grade Created by: CK-12
## Introduction
A Question of Banking
“Wow! 4320 is a terrific amount!” Jeremy exclaimed when Candice filled him in on the balance in the savings account. “It is great,” Marcus commented, “But I think we would have made out better if the interest... |
Introduction To Numbers And Counting
Introduction to Numbers
We are surrounded by numbers every day, whether it’s the hours we work, the amount of time we read, or the marks in the exam. Everything is defined by numbers. Counting and numbers are two of the most basic mathematical concepts.
Learning numbers is an imp... |
# Is it possible to factor y=x^3 + 4x^2 - x ? If so, what are the factors?
Dec 20, 2015
Yes, with irrational coefficients:
${x}^{3} + 4 {x}^{2} - x = x \left(x + 2 - \sqrt{5}\right) \left(x + 2 + \sqrt{5}\right)$
#### Explanation:
Separate out the common factor $x$ of the terms, complete the square then use the di... |
# Right Triangle Trigonometry
## • Using similarity, show that side ratios in right triangles are properties of the angles. • Define the trigonometric ratios for acute angles. • Explain and use the relationship between sine and cosine of complementary angles. • Use trigonometric ratios to solve a variety of modeling p... |
Hot Topics
# Algebra 2 PARCC: imaginary number arithmetic
The following fill-in-the-number question, explained here in hopes of helping algebra 2 students and their parents in Maryland prepare for the PARCC test near the end of this school year, appears on the released version of the PARCC Algebra 2 sample test relea... |
# Confidence interval equation proportional relationship
### Two Proportions | STAT /
You can find the confidence interval (CI) for a population proportion to show the statistical probability that a characteristic is likely to occur within the population. Applying the general formula for a confidence interval, the co... |
# Exponents – Definition, Properties of Exponents & Examples
## Introduction
### What are Exponents?
Exponents are a fundamental concept in mathematics that represent repeated multiplication of a number by itself. They are denoted by a small number written above and to the right of a base number, which indicates the... |
# How to Construct Angles Using a Compass & Straight Edge
Instructor: Matthew Bergstresser
Matthew has a Master of Arts degree in Physics Education
A compass is a tool used to draw arcs and circles. Even though a compass draws curves, we can use one to draw an angle. In this lesson, we will use a compass and a strai... |
Classrooms Curricula References Textbooks Site Map
## Adding and Subtracting Negative Numbers
When people start working with negative numbers a lot of confusion comes up because of the way numbers can be moved around. If you want to rearrange the numbers in an expression that has negative numbers, the negative sign h... |
# How to write a slope intercept equation into standard form
When we move terms around, we do so exactly as we do when we solve equations! Write an equation in slope intercept form given the slope and y-intercept.
Writing an Equation Given the Slope and Y-Intercept Write the equation for a line that has a slope of -2... |
# Chapter 6 Fractions and Mixed Numbers
• Chapter 6
Chapter Objectives:
* Fractions and mixed numbers are used to name wholes and parts of a whole.
* Fractions and mixed numbers can be added and subtracted.
Vocabulary:
Numerator - The numerator is the number above the fraction bar. It shows the number of equal pa... |
# Last year, the ratio between the salaries of A and B was 3 : 4. But the ratios of their individual salaries between last year and this year were 4 : 5 and 2 : 3 respectively. If the sum of their present salaries is Rs. 4160, then how much is the salary of A now ?
• 1Rs. 1040
• 2Rs. 1600
• 3Rs. 2560
• 4Rs. 3120
Expla... |
# Element (mathematics)
In mathematics, an element, or member, of a set is any one of the distinct objects that make up that set.
## Sets
Writing A = {1, 2, 3, 4} means that the elements of the set A are the numbers 1, 2, 3 and 4. Sets of elements of A, for example {1, 2}, are subsets of A.
Sets can themselves be e... |
# 7.1 Angles (Page 9/29)
Page 9 / 29
A satellite is rotating around Earth at 0.25 radian per hour at an altitude of 242 km above Earth. If the radius of Earth is 6378 kilometers, find the linear speed of the satellite in kilometers per hour.
1655 kilometers per hour
## Key equations
arc length $s=r\theta$ area ... |
## 17Calculus - Dot Product Application - Vector Projections
##### 17Calculus
Vector Projections
Projection
We know from basic trigonometry, the projection of vector $$\vec{A}$$ onto vector $$\vec{B}$$ (see figure to the right) is just $$\|\vec{A}\| \cos(\theta)$$. However, what if we don't know the value of angle ... |
# Derivative of lnx: Formula, Proof by First Principle, Chain Rule
The derivative of lnx is equal to 1/x. Ln(x) denotes the natural logarithm of x, that is, lnx= logex. Here we will find the derivative of ln(x) using the limit definition and chain rule of differentiation.
Note that lnx= logex. The derivative of lnx i... |
The Unit Circle Day 2 of 2
5 teachers like this lesson
Print Lesson
Objective
Students will be able to define trigonometric functions of acute angles.
Big Idea
Why do we use a unit circle? How can we use it to represent all angles for all circles?
Warm-up and Homework Review
10 minutes
I include Warm ups with a... |
# Ratio reasoning in year 2: Jelly Babies
What follows is an example of the episode structure of one LTTM! lesson, taken from the Year 2 to 4 materials.
Episode 1: Comparing pictures, focusing on heights of parts
First the teacher tells a story about a factory wanting to make jelly sweets in two flavours. Pupils dis... |
# Graphing a Translation of a Rational Function
Instructor: Laura Pennington
Laura has taught collegiate mathematics and holds a master's degree in pure mathematics.
We are going to take a look at rational functions and their graphs. Specifically, we will study the translations of rational functions and two differen... |
Machine Learning 07 – Newton’s Method
In the last couple of blog posts we used Gradient Descent / Gradient Ascent as our optimization algorithm. Gradient Descent works by computing the derivative and then moving in this direction by a small learning rate.
There are many optimization algorithms out there. In this post... |
## iAmCool 3 years ago Jose is paying for an 11$meal using bills in his wallet. He has four 1$ bills, two 5$bills, and two 10$bills. If he selects two bills at random, one at a time from his wallet, what is the probability that he will choose a 10$bill and a 1$ bill to pay for the meal? Show your work.
1. iAmCool
2. ... |
## Book: RD Sharma - Mathematics (Volume 1)
### Chapter: 9. Continuity
#### Subject: Maths - Class 12th
##### Q. No. 16 of Exercise 9.1
Listen NCERT Audio Books to boost your productivity and retention power by 2X.
16
##### Discuss the continuity of the function at the point x = 1/2.
Ideas required to solve the p... |
MUIC Math
Mathematics at MUIC
wiki:graph_tran
Graph Transformations
Suppose we know what the graph of a particular function looks like. We can use graph transformations to quickly sketch graphs of functions that are transformed from the original function. We can divide transformations into two types:
1. Transforma... |
June 17, 2024
Learn how to convert decimals to fractions in three simple steps. Get insider tips, step-by-step guides, and resources to make converting decimals to fractions easier for students and teachers. Discover new, innovative ways to convert decimals to fractions and start practicing today!
## Introduction
Whe... |
# Quick Answer: How To Remove Square Root From Denominator?
## Can you leave square root denominator?
To rationalize the denominator means to eliminate any radical expressions in the denominator such as square roots and cube roots. The key idea is to multiply the original fraction by an appropriate value, such that a... |
This is a Clilstore unit. You can .
A quadratic equation is an equation that can be written in the form
ax² + bx +c = 0 with a not equal to 0.
Quadratic equations can be complete ax²+bx+c=0 and incomplete ax²=0, ax²+bx=0, ax²+c=0
The next video will show you how to solve complete quadratic equations:
Let’s see know... |
Absolute Value Lesson 3
• # Solving Absolute Value Equations
Lesson 3 of 3
HS Algebra
40-60 minutes
Description
Solving absolute value equations graphically and algebraically.
Materials
### Introduce
• Begin with the Dynagraph Applet set to Relationship 2 and k = 5 (this would be x → x - 5).
• Ask students how ... |
(forgot?)
8.NS Converting Decimal Representations of Rational Numbers to Fraction Representations
### Alignments to Content Standards
Domain
NS: The Number System
Cluster
Know that there are numbers that are not rational, and approximate them by rational numbers.
Standard
Know that numbers that are not rational are c... |
1. Linear Word Problem help
Rachael and Sabine belong to different local gyms. Rachael pays $35 per month and a one-time registration fee of$15. Sabine pays only $25 per month but had to pay a$75 registration fee. After how many months will Rachael and Sabine have spent the same amount on their gym memberships?
2. Or... |
## x3 + px + q = 0
Question : For what values of p does the equation x3+ px + 1 = 0 have
three real roots? Extend for other values of q.
If we just think of the roots of the equation then students may need a great deal of algebraic skill. But the purpose of introducing a computer and mathematical programs in a class... |
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When 6 boys were admitted and 6 girls left, the percentage of boys increased from $60\%$ to $75\%$. Find the original number of boys and girls in the class.
Last updated date: 17th Jul 2024
Total views: 347.1k
Views today: 8.47k
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Mathematics
# What is the Difference between Area and Volume?
the basic difference between Area and Volume is that the space occupied by the two-dimensional figure in a 2D plane is known as an area that is measured in square units, for example, wrapping a gift set. while, the space occupied by a three-dimensional fig... |
Tackk will be shutting down on 9.30.17 - Export your Tackks
# Identify Similar Polygons
If two Polygons are similar, then there corresponding angles are congruent and the measure of their corresponding sides are proportional.
In the example provided, you can see that these rectangles are in fact similar. First you c... |
# What Is The Probability That All 5 Cards Have The Same Suit?
## How many ways can one obtain exactly 3 aces in a 5-card hand?
4 waysHow many ways can we draw 5 cards that contains exactly 3 Ace’s.
No replacement.
Reasoning: There are (43) = 4 ways to select 3 cards (Aces)..
## How do you find the probability of ... |
#### Meaning of Markov Analysis:
Markov analysis is a method of analyzing the current behaviour of some variable in an effort to predict the future behaviour of the same variable. This procedure was developed by the Russian mathematician, Andrei A. Markov early in this century. He first used it to describe and predict... |
# Understanding Z-Scores in Statistics
Most of us have heard/used the terms mean, median, and mode in Statistics. To get a better idea, you can read my article on them here. Now, let us talk about measures of variability and Z-scores. How many of you know that Z-scores are used to estimate student’s academic records i... |
# Using Excel to Explore Rates and Proportions
My fifth graders are currently studying rates and proportions. Earlier in the week they explored rates by looking at unit prices and solving problems with some type of cross-multiplication strategy. Although they’ve made progress I still feel as some many still need to c... |
### Home > INT3 > Chapter 8 > Lesson 8.3.1 > Problem8-92
8-92.
Carlos is always playing games with his graphing calculator, but now his calculator has contracted a virus. The $\boxed{\text{TRACE}}$, $\boxed{\text{ZOOM}}$, and $\boxed{\text{WINDOW}}$ functions on his calculator are not working. He needs to solve $x^{3... |
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# A cylinder of mass 5 kg is held in vertical position. If the height of the cylinder is 6 cm and radius of cross section is 4 cm then find the pressure acting on its bottom surface.
Last updated date: 21st Jun 2024
Total views: 403.8k
Views toda... |
11 Slides--Proof Methods
# 11 Slides--Proof Methods - .CS103 HO#9 Proof Methods 1 How...
This preview shows pages 1–3. Sign up to view the full content.
................................................. ...CS103 HO#9 Proof Methods 4/9/10 1 1. How do we prove conditionals? The truth table for p q tells us that the co... |
Module 3 - Major Patterns
The Major Scale Pattern
To quickly recap, we've already looked at the musical alphabet and the names of all 12 notes (Chromatic Circle). We've also looked at the definition of half steps and whole steps, and how to apply them on the keyboard/fretboard. The reason we need this information is ... |
# NCERT Class 10 Math Chapter 7 Important Questions Answer – Coordinate Geometry
Class 10 Chapter Coordinate Geometry Subject Math Category Important Question Answer
## Class 10 Math Chapter 7 Important Question Answer
Q1. Find the distance between the points (-5, 7) and (-1, 3). Most Important
Ans. Distance betwe... |
# What is the integral of cos²x ?
One of the most dreaded mathematical concepts, integration is used to find the whole by uniting the parts. A lot of formulae and their application understanding the question make integration what it is. Although it is just the opposite of differentiation, the jump in difficulty is sur... |
# Adding and Subtracting Signed Decimals Using a Procedure
9 teachers like this lesson
Print Lesson
## Objective
SWBAT add and subtract signed decimals using a procedure
#### Big Idea
Students use addition and subtraction procedures as a step toward fluency with signed decimal operations.
## Introduction
10 minu... |
Multiplying decimals by 10, 100 or 1000 is done in the same way as multiplying decimals by regular numbers.
You must do the multiplication without paying attention to the dot in the decimal, then separate the whole part from the fractional part in the answer by counting off as many digits to the right as there were di... |
## Tuesday, March 11, 2014
### Mathematics Multiplication and Division
Mathematics Lesson Update:
When school reopens in term 2, we will start on Multiplication and Division of tables: 2,3,4,5,and 10.
Based on MOE Syllabus, these are the objectives:
3.1 concepts of multiplication and division
3.2 use of x
3.3 multip... |
# User:Mmmooonnnsssttteeerrr/Calculus
This is the prototype page for Elementary Calculus. Contents written here may be transferred to there when a section is written here and if its content is deemed of acceptable standard for Elementary Calculus book.
## FunctionEdit
Function generates only one value for each value... |
Lesson plan
# Identifying Proportionality From Tables and Verbal Descriptions Lesson Plan
## Overview
In this lesson, students will learn how to identify proportionality from tables and verbal descriptions through students’ discussion and problem solving. Students will use tables to help them process identifying pro... |
Skip Counting by 5 || Number Counting for Grade 1 students
In skip counting by 5’s we basically count numbers by skipping number 5 each time we move forward.
Below is the illustration which shows how we will move forward in the number line if we skip counting by five
To understand the above illustration, kindly foll... |
# A coefficient is the number part of a term that includes a variable. Example: 2x 2 is the coefficient x is the variable.
## Presentation on theme: " A coefficient is the number part of a term that includes a variable. Example: 2x 2 is the coefficient x is the variable."— Presentation transcript:
A ... |
# What is the value of the sum: (1^2)+(1^2+2^2)+(1^2+2^2+3^2)+............upto n terms? Thank you!
Nov 24, 2016
$\left({1}^{2}\right) + \left({1}^{2} + {2}^{2}\right) + \ldots + \left({1}^{2} + {2}^{2} + \ldots + {n}^{2}\right) = \frac{n {\left(n + 1\right)}^{2} \left(n + 2\right)}{12}$
#### Explanation:
We will us... |
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# Triangle $ABC$ is an isosceles triangle in which $AB = AC$ , side $BA$ is produced to $D$ such that $AD = AB$ .Show that $\angle BCD$ is a right angle.
Last updated date: 25th Jul 2024
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# NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6.2 Application of Derivatives - PDF Download
NCERT solutions for class 12 maths chapter 6 exercise 6.2 Application of Derivatives focuses on applying differentiation to figure out if a function is incre... |
Lesson Objectives
• Review how to work with the composition of trigonometric functions
• Learn how to solve trigonometric equations using inverses
• Learn how to solve inverse trigonometric equations
## How to Solve Trigonometric Equations Involving Inverses
Earlier in our course, we learned about composing a functio... |
Basic Math | Basic-2 Math | Prealgebra | Workbooks | Glossary | Standards | Site Map | Help
# QuickQuiz: Four-Digit Subtraction - Borrowing
This activity was designed to help you practice subtraction. You're going to see a variety of problems that ask you to subtract numbers from four-digit numbers. All of the questi... |
FINDING LIMITS ALGEBRAICALLY – CALCULUS
FINDING LIMITS ALGEBRAICALLY – CALCULUS
Limits give us the power to approximate functions and see the values they are approaching. Limit is not the value of the function at a particular point. It is the value which the function is approaching as one moves towards the given point... |
Math Concepts
Best Way to Use an Abacus for Basic Math Operations
2.1k views
25 November 2020
1 Introduction 2 How to perform counting on an Abacus? 3 How to use an Abacus for Addition? 4 How to use an Abacus for Subtraction? 5 How to use an Abacus for Multiplication? 6 Conclusion 7 Frequently Asked Questions (FAQ... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# 5.3: Applications of the Normal Distribution
Difficulty Level: At Grade Created by: CK-12
## Learning Objectives
• Apply the characteristics of the normal distribution to solving pro... |
# How do you use sigma notation to write the sum for 1/4+3/8+7/16+15/32+31/64?
Feb 19, 2017
$\frac{1}{4} + \frac{3}{8} + \frac{7}{16} + \frac{15}{32} + \frac{31}{64} = {\sum}_{r = 1}^{5} \frac{{2}^{n} - 1}{2} ^ \left(n + 1\right)$
#### Explanation:
If we look at the sequence for the terms in denominator we have:
$... |
# Quadratic Simultaneous Equations. How to solve a pair of linear and quadratic equations by substitution.
There are many ways of solving a pair of equations when one is linear and the other is quadratic. But the easiest way is to substitute the linear equation into the quadratic equation. Before you attempt the examp... |
Average Length of the Longest Arc in $S^1$
Suppose that we draw $n$ points $a_i \sim Uniform(S^1)$ for $i = 1 \ldots n$. These points determine a partition or set of disjoint arcs of $S^1$. What is the average length of the longest arc? To even measure the $n$ arc lengths, we need an ordering of the $\{ a_i \}$ , $a_{... |
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# Percentages Study Guide: GED Math
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Updated on Mar 23, 2011
Practice problems for these concepts can be found at:
Percentages Practice Problems: GED Math
Percentages are just hundredths. In this lesson, you will review how to express given percentages as both fractions and de... |
# Half integral of x
In my previous post I showed you how to take the half derivative of x. Here, I am going to explain how to find the half integral of x.
We can write the half integral of x as
This is a way I’ve come up with to represent the half integral of a function, as I couldn’t find anything about it.
We ca... |
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# How do you find $(f - g)(3)$ given $f(x) = {x^{2 - 1}}$ and $g(x) = 2x - 3$ and $h(x) = 1 - 4x\#$?
Last updated date: 22nd Feb 2024
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Hint:Start by computing the values for $(f - g)(x)$. The... |
# Class 12 Maths MCQ – Three Dimensional Geometry
This set of Class 12 Maths Chapter 11 Multiple Choice Questions & Answers (MCQs) focuses on “Three Dimensional Geometry”. These MCQs are created based on the latest CBSE syllabus and the NCERT curriculum, offering valuable assistance for exam preparation.
1. If a, b, ... |
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# Division of Rational Expressions
## Invert, cancel, multiply, and reduce fractions with variables in the den... |
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