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# Types of Fractions (Guide)
Fractions are an essential concept in mathematics. They represent a part of a whole or a group of objects. A fraction consists of a numerator (the top number) and a denominator (the bottom number) separated by a horizontal bar. The numerator represents the number of parts taken, while the ... |
# How do you compute the dot product for u=i-2j and v=-2i+j?
Nov 10, 2016
$\therefore \underline{u} \cdot \underline{v} = - 4$
#### Explanation:
Inner Product Definition
If $\underline{u} = \left\langle\left({u}_{1} , {u}_{2}\right)\right\rangle$, and $\underline{v} = \left\langle\left({v}_{1} , {v}_{2}\right)\righ... |
## Exponential Functions
An exponential function is of the form:
where b is the base and a positive real number other than 1 and x is any real number.
In this section, we will look at the domain and range of these exponential functions, as well as, look at one specific exponential function, compound interest.
The d... |
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# 几何序列复习
## 等比数列的构成与公式
$×2\phantom{\rule{0.167em}{0ex}}↷$$×2\phantom{\rule{0.167em}{0ex}}↷$$×2\phantom{\rule{0.167em}{0ex}}↷$
$1,$$2,$$4,$$8,\text{…}$
$a\left(n\right)=k\cdot {r}^{n-1}$
$\left\{\begin... |
# One-step equations – word problems
One-step equations can also be communicated in the form of word problems. The only difference between mathematically expressed equations and word problems is that, in word problems, you have to recognize the variable and other elements of the equation yourself. The easiest way to e... |
# How do you simplify (3+3*sqrt3 i)^4?
Jul 21, 2018
=> color(maroon)(-648 (1 + sqrt3 i)
#### Explanation:
Here are the steps required for Multiplying Complex Numbers:
Step 1: Distribute (or FOIL) to remove the parenthesis.
Step 2 : Simplify the powers of i, specifically remember that i2 = –1.
Step 3 : Combine lik... |
Arc Measure
Meaning of Arc Measure
Arcs are measured in degrees. This is not the same as the length of an arc, which depends on the size of the circle.
The measure of a minor arc is defined as the measure of its central angle:
The measure of a major arc is 360o minus the measure of the corresponding minor arc:
Le... |
# A Flag Staff 17.5m High Casts a Shadow of Length 40.25m. The Height of the Building Which Casts a Shadow of Length 28.75m Under Similar Condition will be?
### Computer MCQs Series for PPSC, FPSC – Most Repeated MCQs | Set 5
• A flag staff 17.5m high casts a shadow of length 40.25m.
• The height of the building whic... |
# What is the derivative of arcsin(1/x)?
Jul 26, 2015
$- \frac{1}{x \sqrt{{x}^{2} - 1}}$
#### Explanation:
To differentiate this we will be applying a chain rule:
Start by Letting $\theta = \arcsin \left(\frac{1}{x}\right)$
$\implies \sin \left(\theta\right) = \frac{1}{x}$
Now differentiate each term on both si... |
# Number Lines
In Maths, number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.
In the above figure, we can see a number line where integers are placed. Here, th... |
# What is 60 percent of 600?
WRITTEN BY: supportmymoto.com STAFF
#### Answer for What’s 60 % of 600:
60 % *600 =
(60:100)*600 =
(60*600):100 =
36000:100 = 360
Now we have now: 60 % of 600 = 360
Query: What’s 60 % of 600?
Share resolution with steps:
Step 1: Our output worth is 600.
Step 2: We symbolize the u... |
# Helping a Struggling Maths Student: Number Bonds
This is my second post of our curriculum free maths journey. For the first post see here.
My goal in teaching this wasn’t the recitation of number bonds (they could do that already), it was to ensure the girls understood them and were able to apply their understandi... |
# SOLUTION: how do I eliminate variables using the addition method? 2x-y+z=1 3x-3y+4z=5 4x-2y+3z=4
Algebra -> Coordinate Systems and Linear Equations -> SOLUTION: how do I eliminate variables using the addition method? 2x-y+z=1 3x-3y+4z=5 4x-2y+3z=4 Log On
Ad: You enter your algebra equation or inequality - Al... |
# 2015 AMC 12B Problems/Problem 9
## Problem
Larry and Julius are playing a game, taking turns throwing a ball at a bottle sitting on a ledge. Larry throws first. The winner is the first person to knock the bottle off the ledge. At each turn the probability that a player knocks the bottle off the ledge is $\tfrac{1}{... |
Stabroek News Sunday - - RECENT EVENTS REVIEW SATURDAY, SEPTEMBER 29ND TO F -
Hello Boys and Girls! I hope you had a rewarding week at school. I hope that you practiced working division sums.
This week’s topic will be Square Numbers and Square Root. Square Numbers
The product of a number and itself gives ... |
# Lesson 1
Human Frequency Table
These materials, when encountered before Algebra 1, Unit 3, Lesson 1 support success in that lesson.
## 1.1: Estimation: Percents (5 minutes)
### Warm-up
The purpose of an estimation warm-up is to practice the skill of estimating a reasonable answer based on experience and known in... |
Breaking News
# What Is The Square Root Of 57
What Is The Square Root Of 57. By definition, the square root of 57 is the number that, multiplied by itself, produces the given number 57. Find perfect squares identify the perfect. A square root of a number 'x' is a number y such that y 2 = x, in other words, a number y... |
# 007A Sample Midterm 1, Problem 3 Detailed Solution
Let ${\displaystyle y=2x^{2}-3x+1.}$
(a) Use the definition of the derivative to compute ${\displaystyle {\frac {dy}{dx}}.}$
(b) Find the equation of the tangent line to ${\displaystyle y=2x^{2}-3x+1}$ at ${\displaystyle (2,3).}$
Background Information:
Rec... |
# Solve the following equations using Cramer's Rule: 5x-4y+6z=58 -4x+6y+3z=-13 6x+3y+7z=53
justaguide | College Teacher | (Level 2) Distinguished Educator
Posted on
According to Cramer's Rule we can write the given set of equations in the matrix form as follows:
| 5 -4 6| | x | | 58 |
|-4 6 3| | y | = |-13 |... |
# How to Solve Rational Exponents?
An exponential expression (also called fractional exponents) of the form $$a^m$$ has a rational exponent if $$m$$ is a rational number (as opposed to integers). Here, you learn more about solving rational exponents problems.
Rational exponents are exponents of numbers that are expre... |
# Integrating Binomial Expansions
Integrating Binomial Expansion is used to evaluate certain series or expansions by substituting particular values after integrating binomial expansion. It is important to find a suitable number to substitute for finding the integral constant if done in an indefinite integral. If the d... |
# 2000 AMC 8 Problems/Problem 15
## Problem
Triangles $ABC$, $ADE$, and $EFG$ are all equilateral. Points $D$ and $G$ are midpoints of $\overline{AC}$ and $\overline{AE}$, respectively. If $AB = 4$, what is the perimeter of figure $ABCDEFG$?
$[asy] pair A,B,C,D,EE,F,G; A = (4,0); B = (0,0); C = (2,2*sqrt(3)); D = (3... |
# Addition Word Problems,Subtraction Word Problems
Addition sums can sometimes be presented as addition word problems, where there is information given in words, usually with regards to a real life scenario.
This can happen with subtraction also.
Then, with the information given, an addition or subtraction sum can b... |
Uncategorized
# Fractions
A fraction represents a part of a whole or, more generally, any number of equal parts. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.The numerator represents a number of equal parts, and the den... |
Addition is the one of the four basic mathematical operations, which is denoted as ‘+’. It is defined as the process of obtaining the total or sum by combining two or more numbers. The numbers which are added are termed as “addends”.
Example 1:
Here, 58 and 24 are addends, + is the plus sign, = is the equal sign, and... |
Cool math games number solver
Cool math games number solver is a mathematical instrument that assists to solve math equations. We will also look at some example problems and how to approach them.
The Best Cool math games number solver
This Cool math games number solver provides step-by-step instructions for solving ... |
#### Chapter 6 Elementary Functions
Section 6.3 Power Functions
# 6.3.2 Radical Functions
##### Example 6.3.1
If an object falling in the homogeneous gravitational field of the Earth is observed, then the following relation between the falling time and the travelled distance can be found:
Falling time $t$ in secon... |
Home | Math | 10 Examples of Divisors in Mathematics
# 10 Examples of Divisors in Mathematics
September 21, 2023
written by Rida Mirza
In mathematics, divisors are numbers that evenly divide another number without leaving a remainder. They play a important role in number theory, factorization, and many areas of math... |
# How to solve equations with 2 variables
We can do your math homework for you, and we'll make sure that you understand How to solve equations with 2 variables. We can help me with math work.
## How can we solve equations with 2 variables
This can be a great way to check your work or to see How to solve equations wi... |
# Number System-01
In this article, we will study about Number system with their answers. All this questions are asked in previous year SSC CGL examinations.So all this questions are very important from examination point of view.
SSC recruits graduates in government ministries and departments under Grade-‘B’ & ‘C’ ca... |
# Louisiana - Grade 1 - Math - Measurement and Data - Ordering Objects by Length - 1.MD.1
### Description
Order three objects by length; compare the lengths of two objects indirectly by using a third object.
• State - Louisiana
• Standard ID - 1.MD.1
• Subjects - Math Common Core
### Keywords
• Math
• Measurement ... |
# Into Math Grade 5 Module 3 Answer Key Practice Division of Whole Numbers
We included HMH Into Math Grade 5 Answer Key PDF Module 3 Practice Division of Whole Numbers to make students experts in learning maths.
## HMH Into Math Grade 5 Module 3 Answer Key Practice Division of Whole Numbers
What are the unknown digi... |
# Divergence theorem
A novice might find a proof easier to follow if we greatly restrict the conditions of the theorem, but carefully explain each step. For that reason, we prove the divergence theorem for a rectangular box, using a vector field that depends on only one variable.
Fig. 1: A region V bounded by the sur... |
## Book: RS Aggarwal & V Aggarwal - Mathematics
### Chapter: 1. Real Number
#### Subject: Mathematics - Class 9th
##### Q. No. 7 of Exercise 1A
Listen NCERT Audio Books to boost your productivity and retention power by 2X.
7
##### Insert 16 rational numbers between 2.1 and 2.2.
Let’s take
n= numbers required to ... |
# Maths - GCSE
HideShow resource information
## Percentages
• Finding the percentage of something - with a calculator: ( / = divide)
Example: Find 23% of £62.50.
1. 23 / 100 x 62.50 = £14.38
• Finding the percentage of something - without a calculator:
Example: Find 35% of £80.
1. 10% is £8. 2. 30% is 3 lot... |
In this post we solve the Fibonacci sequence using linear algebra. The Fibonacci equation is a second-order difference equation which is a particular type of sequence.
## Sequences
A sequence is a (possibly infinite) set of numbers with a defined order.
$a_n = \frac{1}{n}, \textit{ for } n = 0, 1, 2, ...,$
### Diff... |
# BM9.1 – Perpetuities
Chapter 9, Lesson 1
In this lesson students will:
• understand where the formulas for perpetuities come from
• calculate the present value of an ordinary perpetuity in both the simple and general case
• calculate the present value of a perpetuity due in both the simple and general case
## Per... |
# Geometry Formulas
Geometry is a branch of mathematics that deals with shape, size, the relative position of figures, and the properties of shapes. It emerges independently in the number of early cultures as a practical way of dealing with lengths, area and volumes.
Geometry can be divided into two different types: ... |
# Lesson 6
Features of Graphs
• Let’s use graphs of functions to learn about situations.
### 6.1: Walking Home
Diego is walking home from school at a constant rate. This graph represents function $$d$$, which gives his distance from home, in kilometers, $$m$$ minutes since leaving the school.
Use the graph to find... |
# A right triangle has one leg that is 8 inches shorter than the other leg, the hypotenuse is 30 inches long, how do you find the length of each leg?
Jun 3, 2017
The legs are $24.83 \mathmr{and} 16.83$ inches long.
#### Explanation:
The lengths of the two short sides (the legs of the right-angle) are:
$x \mathmr{a... |
Calculus Volume 2
# Key Concepts
Calculus Volume 2Key Concepts
## 6.1Power Series and Functions
• For a power series centered at $x=a,x=a,$ one of the following three properties hold:
1. The power series converges only at $x=a.x=a.$ In this case, we say that the radius of convergence is $R=0.R=0.$
2. The power seri... |
## Calculation of reinforcement for construction/building project
The calculation of reinforcement for construction/building project project is a vital assignment as it enable the client to know beforehand the expenditure on reinforcement in the case of a building and the contractor in the case of large project.
Know... |
# Surprising Uses of the Pythagorean Theorem
The Pythagorean theorem is a celebrity: if an equation can make it into the Simpsons, I'd say it's well-known.
$\displaystyle{a^2 + b^2 = c^2}$
But most of us think the formula only applies to triangles and geometry. Think again. The Pythagorean Theorem can be used with a... |
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Categories
## Time & Work Problem | PRMO-2017 | Problem 3
Try this beautiful problem from PRMO, 2017 from Arithmetic based on Time & Work.
## Time & Work Problem | PRMO | Problem 3
A contractor has two teams of workers: team A and team B. Team A can complete a job in 12 days and team B can do the same job in 36 day... |
# Difference Quotient Calculator
Instructions: Use this calculator to find the difference quotient of any function that you provide, showing all the steps. Please use the form below to type a valid function:
Enter the function for which you want to calculate the difference quotient (Ex: f(x) = 3x^2 + 1, etc.)
## Dif... |
# What Is 7/80 as a Decimal + Solution With Free Steps
The fraction 7/80 as a decimal is equal to 0.0875.
A form of p/q can be used to represent a Fraction. The line known as the Division line separates p from q, where p stands for the Numerator and q for the Denominator. To make fractional quantities more clear, we ... |
How do you add the two values of two separate fractions together? Fractions are composed of two components. The top part of the fraction tells you the number of parts you have. The top portion is called the numerator. The bottom portion of the fraction is called the denominator. The denominator tells us who many parts ... |
# Dilations 4.5 ⃖⃗
by user
on
Category: Documents
8
views
Report
#### Transcript
Dilations 4.5 ⃖⃗
```4.5
TEXAS ESSENTIAL
KNOWLEDGE AND SKILLS
G.3.A
G.3.C
Dilations
Essential Question
What does it mean to dilate a figure?
Dilating a Triangle in a Coordinate Plane
Work with a partner. Use dynamic geometry softw... |
Do me a favor, take a few seconds to have a look at my last project.
Thank you, Lulu
# Fundamental principle of dynamics
## Introduction
The second Newton's law of motion (fundamental principle of dynamics) say that the sum of the forces $$\vec{F}$$ on an object is equal to the mass $$m$$ of this object multiplied ... |
# The Best Way to Teach Multiplication | 5 Simple Steps
Prepping to teach multiplication can leave you more confused than your students.
But teaching multiplication doesn’t have to be difficult. It just requires you to break it down step by step.
Here’s a five-step method for teaching multiplication that will give y... |
Congruence of Triangles - Revision Notes
CBSE Class–VII Subject Mathematics
Revision Notes
Chapter – 7
Congruence of Triangles
• Congruence: The relation of two objects being congruent is called congruence. Congruent objects are exact copies of one another.
• Congruence of Plane Figures: The method of superposition ... |
Wednesday, May 29, 2024
Home > SAT > SAT Practice Problems Test 42 Grid Ins Math Questions | SAT Online Classes AMBiPi
# SAT Practice Problems Test 42 Grid Ins Math Questions | SAT Online Classes AMBiPi
Welcome to AMBiPi (Amans Maths Blogs). SAT (Scholastic Assessment Test) is a standard test, used for taking admissi... |
# IMAT 2013 Q26 [Charity Walk]
Stephen is currently involved in a long distance charity walk from Alphcaster to Omegham. He left Alphcaster 9 days ago and has just completed 60% of his journey.
He hopes to complete 60% of the rest of the walk during the next 4 days. This will leave him just 60 miles from Omegham, whi... |
FAQ - Math
# How to Calculate Standard Deviation
## What is Standard Deviation?
Standard deviation is a measure used in calculating the dispersion of a data set. It tells you just how much of your data is spread around the mean. A high standard deviation means the data points are more spread out from the average, wh... |
# Given the ellipse 8x^2 + y^2 + 80x - 6y + 193 = 0 find: c) The Length of the Minor Axis d) Distance from C to foci
flbyrne | (Level 3) Assistant Educator
Posted on
We can write the ellipse in the form:
`((x-p)^2)/a^2+((y-q)^2)/b^2=1`
Where:
(p,q) is the center of the ellipse,
a is half of the major axis or th... |
# Construct a Quadrilateral Abcd, Given that Ab = 8 Cm, Bc = 8 Cm, Cd = 10 Cm, Ad = 10 Cm and ∠A = 45°. - Mathematics
Construct a quadrilateral ABCD, given that AB = 8 cm, BC = 8 cm, CD = 10 cm, AD = 10 cm and ∠A = 45°.
#### Solution
Steps of Construction:
Step I: Draw AB = 8 cm .
$\text { Step II: Construct } \an... |
# Equations with Addition and Subtraction
Rate this video
Ø 5.0 / 3 ratings
The author
Team Digital
CCSS.MATH.CONTENT.4.OA.A.3
### Contents
In this video, Mr. Squeaks just finished an experiment that has gone wrong! He has turned himself into the evil Dr. Squeaks! Imani has to follow the instructions to turn him b... |
# Binomial Experiment
How to find the probability of the binomial experiments: formula, examples, and their solutions.
## Formula
whose probability of 'want' is p.
(The probability of 'not want' is 1 - p = q.)
Probability of (not A, Complement)
For n trials,
if the 'want' happens k times,
('not want' happens 'n - ... |
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# Algebraic Expressions
## |
Algebra is often seen as a daunting subject, especially when you’re introduced to new concepts lik... |
# How do I factor a polynomial function?
Oct 31, 2014
Factoring polynomials is usually a very simple and straightforward process, but when you get polynomials of a higher degree (i.e. with the highest power being something large, like 5), then you start to run into problems. The best way to solve those types of probl... |
# What is 45 turned into a fraction?
## What is 45 turned into a fraction?
Explanation: 45% can be written as . 45, which is 45100 in the non-reduced fractional form. This cannot be reduced any further, therefore, 45% is 920 in fractional form.
What is 45 as a decimal in simplest form?
We drop the decimal and write... |
# 8.4: Comparing Two Independent Population Proportions
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$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand{\kernel... |
# Math Insight
### The simplest integration substitutions
The simplest kind of chain rule application $${d\over dx}f(ax+b)=a\cdot f'(x)$$ (for constants $a,b$) can easily be run backwards to obtain the corresponding integral formulas: some and illustrative important examples are \begin{align*} \int \cos(ax+b)\;dx &={... |
115000 minus 35 percent
This is where you will learn how to calculate one hundred fifteen thousand minus thirty-five percent (115000 minus 35 percent). We will first explain and illustrate with pictures so you get a complete understanding of what 115000 minus 35 percent means, and then we will give you the formula at ... |
# Unit 10 Test Study Guide: Circles
Circles are one of the most fundamental shapes found in mathematics, and they can be found everywhere in the natural world. A circle is a two-dimensional shape with a single continuous curved line that has no beginning or end. Circles are also the basis of many important concepts in... |
Construction of Perpendicular to a Line through a Point on it
# Construction of Perpendicular to a Line through a Point on it Video Lecture | Mathematics (Maths) Class 6
## Mathematics (Maths) Class 6
134 videos|325 docs|42 tests
## FAQs on Construction of Perpendicular to a Line through a Point on it Video Lecture... |
GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
It is currently 25 May 2020, 11:00
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Pr... |
### Some(?) of the Parts
A circle touches the lines OA, OB and AB where OA and OB are perpendicular. Show that the diameter of the circle is equal to the perimeter of the triangle
### Ladder and Cube
A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and ju... |
# Solve the Following Using Graphical Method : Minimize :Z=3x+5y 2 X + 3 X ≥ 12 − X + Y ≤ 3 X ≤ 4 , Y ≥ 3 , X ≥ 0 , Y ≥ 0 - Mathematics and Statistics
Solve the following using graphical method :
Minimize :Z=3x+5y
2x+3x>=12
-x+y<=3
x<=4,y>=3,x>=0,y>=0
#### Solution
Min Z = 3x + 5y
S.t. 2x + 3y ≥ 12 ... |
# How to Apply the Order of Operations
Lengthy expressions really aren't that hard if you just do things one at a time and in the right order. The reason this exists is so mathematicians have a universal order. Otherwise you could have two different answers to a simple math problem like 2 x 3 + 4.The order of operatio... |
# Introduction to Matrices
Hey there, in this post, we’ll discuss and know about the most interesting and well known topic- ‘Matrices’along with its operations & types. Matrices have wide scope in mathematics as well as in physics. Let us know about Introduction to matrices and their operations…
## Introduction to ma... |
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# How do you find the limit of sinx / x as x approaches oo?
Mar 29, 2016
We use squeeze theorem, which says that for three functions $g \left(x\right) , f \left(x\right) , \mathmr{and} h \left(x\right)$,
If $g \left(x\right) \le f \left(x\right) \le h \left(x\right) , \mathmr{and} {\lim}_{x \to a} g \left(x\right) = ... |
<meta http-equiv="refresh" content="1; url=/nojavascript/">
# Determining the Equation of a Line
## Write equations from y-intercept and slope or two points
%
Progress
Practice Determining the Equation of a Line
Progress
%
Writing Linear Equations
Have you ever studied banana plants? Take a look at this dilemma.
M... |
# Calc writing report
## Calc writing report
Lexie Brown
Related Rates
We have been discussing derivatives and how to go about calculating them. Now, we are doing related rates, which use rates of one thing as it relates to the rates of one or more things. The rates are found using the calculus we already know how t... |
# Alg6.3
For these pairs of points, find the midpoint, distance, slope, and equation of the line.
$\displaystyle (4,13),(0,9)\,$
To find the midpoint, average the x coordinates and y coordinates. The midpoint is
$\displaystyle \left(\frac{4+0}{2},\frac{13+9}{2}\right) = (2,11),$
To find the (always zero or positiv... |
# 10.1 Non-right triangles: law of sines (Page 5/10)
Page 5 / 10
## Verbal
Describe the altitude of a triangle.
The altitude extends from any vertex to the opposite side or to the line containing the opposite side at a 90° angle.
Compare right triangles and oblique triangles.
When can you use the Law of Sines t... |
# Find the solution of the following system using Gauss elimination. -4x + y + 2z = -19, 4x - y +...
## Question:
Find the solution of the following system using Gauss elimination.
{eq}-4x + y + 2z = -19 {/eq}
{eq}4x - y + 4z = -17 {/eq}
{eq}3x + 3y + 4z = 15 {/eq}
## Gaussian Elimination
Gaussian elimination is... |
# Matthew Fox And The Stars (01/16/2020)
How will Matthew Fox fare on 01/16/2020 and the days ahead? Let’s use astrology to perform a simple analysis. Note this is not at all guaranteed – don’t get too worked up about the result. I will first work out the destiny number for Matthew Fox, and then something similar to t... |
Year 4
Year 4
# Applying and consolidating: Word problems and bar models
## Switch to our new maths teaching resources
Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.
## Lesson details
### Key learning points
1. In this lesson, we will recap our knowledge of how to use ... |
# McGraw Hill My Math Grade 5 Chapter 12 Lesson 2 Answer Key Sides and Angles of Triangles
All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 12 Lesson 2 Sides and Angles of Triangles will give you a clear idea of the concepts.
## McGraw-Hill My Math Grade 5 Answer Key Chapter 12 Lesson ... |
# How to Easily Solve Profit and Loss Problems using Effective Percentages
### Smart Methods are a blessing in exams like SBI PO, IBPS and SSC CGL. Read this post for a smart method to solve Profit and Loss Problems.
A frequently asked topic in competitive exams like SBI PO, IBPS and SSC CGL, Exam Profit and Loss pro... |
# Thread: number of terms in geometric progression
1. ## number of terms in geometric progression
obtain the number of terms in the following geometric progression
81, 27 , 9 , 1/243
can i find the number of terms using this
$\displaystyle ar^{n-1} = 1/243$
the answer that i get is a fraction though and that coul... |
# Hasil perhitungan rumus
Rumus
Jawaban
$$x ^ { 2 } - 3 x - 2 = 0$$
$\begin{array} {l} x = \dfrac { 3 + \sqrt{ 17 } } { 2 } \\ x = \dfrac { 3 - \sqrt{ 17 } } { 2 } \end{array}$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#F... |
33A practice midterm #2
davidbendebury
First row reduce the given matrix. This gets you to: \left( \begin{array}{cccc} 1 & 0 & 0 & -7/6 \\ 0 & 1 & 0 & 17/3 \\ 0 & 0 & 1 & -1/2 \end{array} \right) Since this matrix is of rank 3, the image of this transformation has a dimension of 3. By the rank nullity theorem, the dime... |
# Circle A has a center at (12 ,9 ) and an area of 16 pi. Circle B has a center at (3 ,1 ) and an area of 67 pi. Do the circles overlap?
Apr 27, 2018
Yes.
#### Explanation:
First we need to find the radii of the circles. We can do this using the formula for area:
"Area=pir^2
Circle A
$\pi {r}^{2} = 16 \pi$
${r}... |
# High School Math : How to find if right triangles are similar
## Example Questions
### Example Question #1 : Right Triangles
You have two right triangles that are similar. The base of the first is 6 and the height is 9. If the base of the second triangle is 20, what is the height of the second triangle?
Possibl... |
GATE Online Mock Test Series FREE For Limited Time Attempt Free Tests at GyanPal.com
CS, EC, EE, IN and ME branches
# RATIO & PROPORTION: INTRODUCTION
PageInfo
This is the aptitude questions and answers section on "Ratios and Proportion " with detailed explanation for various interview, competitive examinat... |
Factors
# Factors of 163 | Prime Factorization of 163 | Factor Tree of 163
Written by Prerit Jain
Updated on: 15 Feb 2023
## Factors of 163
Calculate Factors of
The Factors are
https://wiingy.com/learn/math/factors-of-163/
## What are the factors of 163
Have you ever heard of prime numbers? Prime numbers are s... |
# The Derivative
Our Introductory Calculus tutorial software program contains over 40 topic areas. One of them is The Derivative, and this page summarizes the main ideas of this topic. This page is intended for review, and is not a substitute for the interactive, self-paced tutorials of the MathTutor introductory cal... |
## Step by step solution because that calculating 25 is 40 percent the what number
We already have our very first value 25 and the second value 40. Let"s i think the unknown value is Y i beg your pardon answer we will uncover out.
You are watching: 25 is 40 percent of what number
As we have all the forced values we ... |
# Base Ten Number System and on Common Essay
Note: Sample below may appear distorted but all corresponding word document files contain proper formatting
Excerpt from Essay:
Base ten number system and on common misconceptions, which young children might develop when trying to learn about the use of numbers.
What is ... |
# Differential Coefficient
Differential coefficient of a function y = f(x) at x = a is f’(a). As far as the JEE exam is concerned, differential coefficient is an important topic. Students can expect questions from this topic for any competitive exams. In this article, we discuss the concept of differential coefficient... |
How do you solve the system y=4x-1 and y=2x-5 using substitution?
Aug 1, 2017
See a solution process below:
Explanation:
Step 1) Because the first equation is already solved for $y$ we can substitute $\left(4 x - 1\right)$ for $y$ in the second equation and solve for $x$:
$4 x - 1 = 2 x - 5$
$- \textcolor{b l u e... |
## Algebra: A Combined Approach (4th Edition)
Published by Pearson
# Chapter 7 - Section 7.5 - Solving Equations Containing Rational Expressions - Exercise Set: 65
x = 6.667$^{\circ}$ or = 6$\frac{2}{3}$$^{\circ} Thus, \frac{450}{x} = 67.5^{\circ} and, \frac{150}{x} = 22.5^{\circ} #### Work Step by Step Given, that ... |
# Prove that:
Question:
Prove that:
$\sin ^{-1} \frac{1}{\sqrt{17}}+\cos ^{-1} \frac{9}{\sqrt{85}}=\tan ^{-1} \frac{1}{2}$
Solution:
To Prove: $\sin ^{-1} \frac{1}{\sqrt{17}}+\cos ^{-1} \frac{9}{\sqrt{85}}=\tan ^{-1} \frac{1}{2}$
Formula Used: $\tan ^{-1} x+\tan ^{-1} y=\tan ^{-1}\left(\frac{x+y}{1-x y}\right)$ w... |
1. ## [f(x+deltax)-f(x)]/delta x
algebraically simplify [f(x+deltax)-f(x)]/delta x to -1/[(x+delta x-3)(x-3)] for f(x) = (x-2)/(x-3)
2. Hello, yess!
$\displaystyle \text{Given: }\;f(x) \:=\:\dfrac{x-2}{x-3}$
$\displaystyle \text{Simply }\,\dfrac{f(x+\Delta x) - f(x)}{\Delta x}\:\text{ to }\:\dfrac{-1}{(x+\Delta x -... |
# How do you define an array in math?
## How do you define an array in math?
An arrangement of objects, pictures, or numbers in rows and columns is called an array. Arrays are useful representations of multiplication concepts (among other ideas in mathematics). This array has 4 rows and 3 columns. It can also be desc... |
## What are 2 examples of supplementary angles?
Supplementary angles are those angles that measure up to 180 degrees. For example, angle 130° and angle 50° are supplementary because on adding 130° and 50° we get 180°….Some of the examples of supplementary angles are:
• 120° + 60° = 180°
• 90° + 90° = 180°
• 140° + 40... |
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