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# How do you solve 2^(x/17) = 0.8?
##### 1 Answer
Jul 15, 2016
x = (17ln(0.8))/(ln2) ≈ -5.4727
#### Explanation:
To solve for $x$, we first have to get rid of the exponent $\frac{x}{17}$. We can do this by taking the natural logarithm of both sides.
${2}^{\frac{x}{17}} = 0.8$
$\ln \left(2\right) \cdot \frac{x}{17... |
# Mental Math Tricks
Impress your teachers, parents and friends by being able to solve equations in your head as fast as a calculator! Here are a few of our favorite tricks to make mental math easier.
## Multiples of 5
Multiples of 10 are easy to calculate mentally because you can simply add 0 (or a decimal place) t... |
# GMAT Roman Numerals Questions Revisited
- Mar 12, 22:30 PM Comments [0]
We covered GMAT Roman Numerals questions recently, and like any good teacher, I want to review this topic again to help solidify it in your mind. So, we challenged students on Facebook with a practice question yesterday that combined Roman Nume... |
# Lesson 2.4 Creating & Solving Equations & Inequalities in One Variable
## Presentation on theme: "Lesson 2.4 Creating & Solving Equations & Inequalities in One Variable"— Presentation transcript:
Lesson 2.4 Creating & Solving Equations & Inequalities in One Variable
Recall the Steps to creating equations & Inequal... |
# Rational Zeros Theorem Calculator
The calculator will find all possible rational roots of the polynomial using the rational zeros theorem. After this, it will decide which possible roots are actually the roots. This is a more general case of the integer (integral) root theorem (when the leading coefficient is $1$ or... |
BREAKING NEWS
Trigonometric substitution
## Summary
In mathematics, a trigonometric substitution replaces a trigonometric function for another expression. In calculus, trigonometric substitutions are a technique for evaluating integrals. In this case, an expression involving a radical function is replaced with a trig... |
Statistics Resources
This guide contains all of the ASC's statistics resources. If you do not see a topic, suggest it through the suggestion box on the Statistics home page.
Empirical Rule
The standard normal distribution is actually a probability distribution. By identifying points on the curve, we can determine th... |
# Why the rule of 72 works
A table will help explain why the rule of 72 works. You will also see where the 72 came from and learn how to use the rule of 72 to solve investment problems.
For example, how long it takes to double an investment of \$2500 if the interest rate is 5%?
When entering the value of r in the fo... |
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# Sum of the digits | AMC-10A, 2007 | Problem 25
Try this beautiful problem from algebra, based on Sum of the digits from AMC-10A, 2007. You may use sequential hints to solve the problem
Try this beautiful problem from Algebra based on Sum of the digits.
## Sum of the digits – AMC-10A, 2007- Problem 25
... |
# A convex quadrilateral has exterior angle measures, one at each vertex, of 5b+7°, 34b–33°, b+36°, and 37b–35°. What is the value of b?
Feb 25, 2018
$b = 5$
#### Explanation:
$\text{the " color(blue)"sum of the exterior angles } = {360}^{\circ}$
$\text{the sum of the 4 exterior angles is then}$
$5 b + 7 + 34 b -... |
# Difference between revisions of "2020 AMC 10A Problems/Problem 25"
The following problem is from both the 2020 AMC 12A #23 and 2020 AMC 10A #25, so both problems redirect to this page.
## Problem
Jason rolls three fair standard six-sided dice. Then he looks at the rolls and chooses a subset of the dice (possibly e... |
# Problems on Complement of a Set
Solved problems on complement
of a set
are given below to get a fair idea how to find the complement
of two or more sets.
We know, when U be the universal set and A is a subset of U. Then the complement of A is the set all elements of U which are not the elements of A.
to know more ... |
# CBSE Class 9 Mathematics: Important 4 Marks Questions for Annual Exam 2020
In this article, you will get a collection of important 4 marks questions to prepare for the CBSE Class 9 Mathematics Annual Exam 2020. All these questions have been prepared after carrying the thorough analysis of previous years' question pa... |
## Squaring Magic Squares
Suzanne's Magic Squares || Multiplying Magic Squares: Contents || Exploring the Math
### Objectives: [NCTM Standards: Number and Operations, Communication, and Connections]
1. Students will work with arrays of numbers.
2. Students will calculate and compare sums of numbers in the context of... |
# The Euclidean algorithm
The Euclidean algorithm
The Euclidean algorithm is a way to find the greatest common divisor of two positive integers, a and b. First let me show the computations for a=210 and b=45.
• Divide 210 by 45, and get the result 4 with remainder 30, so 210=4·45+30.
• Divide 45 by 30, and get the r... |
# Sets
Problems on sets some times may not be straight forward. We need to apply very strong logic to dig out the underlying the mistery. Study the following problems. First problem is easy.
New age consultants have three consultants Gyani, Medha, and Buddhi. The sum of the number of projects handled by Gyani and B... |
# The value of
Question:
The value of $\sum_{r=1}^{n}\left\{(2 r-1)+\frac{1}{2^{r}}\right\}$ is _______________ .
Solution:
$\sum_{r=1}^{n}\left\{(2 r-1)+\frac{1}{2^{r}}\right\}$
For $\sum_{r=1}^{n}(2 r-1)=1+3+5+7+\ldots \ldots+2 n+1$
Here first term is 1
last term is 2n − 1
i.e sum is $\frac{n}{2}$ (first ter... |
# Which shape has 4 lines of symmetry
Some shape may have two or more lines of symmetry like a circle has infinite lines of symmetry. A square has four lines of symmetry. A rectangle has two. Regular Polygons symmetry square, A Square (4 sides) has 4 Lines of Symmetry symmetry regular pentagon, A Regular Pentagon (5 s... |
# What is the equation of a polar function?
## What is the equation of a polar function?
What is the equation of a polar function? A polar function is a function that is constant on the complex plane and is equal to the sum of the polar functions. The so called polar functions have an important role in the mathematic... |
# The Conti-System in Theory
With the Contisystem you can calculate rail first shots and easy Around solutions. Study it very carefully and pay special attention to the problematic zones and also the respective corrections. For beginners it is especially important to follow the instructions step by step in order to av... |
# 2014 AMC 10B Problems/Problem 5
## Problem
Doug constructs a square window using $8$ equal-size panes of glass, as shown. The ratio of the height to width for each pane is $5 : 2$, and the borders around and between the panes are $2$ inches wide. In inches, what is the side length of the square window? $[asy] fill(... |
# Applied Combinatorics
## SectionB.5Finite Sets
A set $$X$$ is said to be finite when either (1) $$X=\emptyset\text{;}$$ or (2) there exists positive integer $$n$$ and a bijection $$f:[n]\bijection X\text{.}$$ When $$X$$ is not finite, it is called infinite. For example, $$\{a,\emptyset,(3,2),\posints\}$$ is a finit... |
NCERT Solutions For Class 6 Maths Integers Exercise 6.3
ncert textbook
NCERT Solutions For Class 6 Maths Integers Exercise 6.3
NCERT Solutions for Class 6 Maths Chapter 6 Integers Ex 6.3
Exercise 6.3
Question 1.
Find:
(a) 35 – (20)
(b) 72 – (90)
(c) (-15) – (-18)
(d) (- 20) – (13)
(e) 23 – (-12)
(f) (-32) – (-40)
... |
# Practice Problems on Pipes and Cistern
## Practice Problems on Pipes and Cistern
1. A Special pump can be used for filling as well as for emptying a Cistern. The capacity of the Cistern is 2400m³. The emptying capacity of the Cistern is 10m³ per minute higher than its filling capacity and the pump needs 8 minutes l... |
# Arcs and Angles of Circles
Hello, and welcome to this video about arcs and angles of circles! In this video, we will explore the different parts of circles and how to use them to solve problems. Let’s learn about arcs and angles of circles!
When we look around us, after polygons, circles are the next most common sh... |
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Relative frequency
26.4 Relative frequency
So far, we have calculated the theoretical probabilities of events. Theoretical probabilities tell us what s... |
# Moment of Inertia of C Channel
A C channel is a common structural element that is often used in building things such as bridges, walls, or in metal frames. As part of the engineering design of these structures, understanding how a C channel will respond to various forces and loads is necessary. A key parameter of an... |
The purpose of this self-assessment is to give students a flavor of math background that is expected or will be introduced in this class. This assessment covers basic knowledge and skills. Formal reasoning skills (proofs, logic) such as those taught in Math 232 are also expected.
## Derivatives and Basic Probability
... |
# Difference between revisions of "2009 AIME I Problems/Problem 6"
## Problem
How many positive integers $N$ less than $1000$ are there such that the equation $x^{\lfloor x\rfloor} = N$ has a solution for $x$? (The notation $\lfloor x\rfloor$ denotes the greatest integer that is less than or equal to $x$.)
## Soluti... |
# Calculus 2 : L'Hospital's Rule
## Example Questions
### Example Question #31 : L'hospital's Rule
Explanation:
If you plug in the limit value, the function turns into . Therefore, we are allowed to use l'Hospital's Rule. We start by taking the derivative of both the numerator and the denominator until when you p... |
# Limits and Infinites
Limits are a concept that goes back at least as far as Archimedes, a Greek scientist, engineer and mathematician in the 3rd century BCE. He calculated a value for π based on the limit of measurements external and internal to a circle.
#### Rules for limits
If \${lim}↙{n→+∞} a_n = a\$, and \${l... |
## Thinking Mathematically (6th Edition)
8(y + 2) = 2(3y + 4) Step 1 : Use distributive property 8.y + 8.2 = 2.3y + 2.4 simplify 8y + 16 = 6y + 8 Step 2 : Collect variable terms on one side and constants on the other side. subtract 6y from both the sides 8y + 16 - 6y = 6y + 8 -6y 2y + 16 = 8 subtract 16 from both the ... |
## SEQUENCE AND SERIES QUIZ-6
As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants ... |
# If A and B are invertible matrices,then which of the following is not correct?$\begin{array}{1 1}(A)\quad adjA=|A|.A^{-1} & (B)\quad det(A)^{-1}=[det(A)]^{-1}\\(C)\quad (AB)^{-1}=B^{-1}A^{-1} & (D)\quad (A+B)^{-1}=B^{-1}+A^{-1}\end{array}$
Toolbox:
• If $A^{-1}=\frac{1}{|A|}adj( A)$
• $A(adj A)=|A|I=(adj A)A$
• $(AB... |
Common Core: High School - Algebra : Solve Simple Rational and Radical One Variable Equations, Show Extraneous Solutions: CCSS.Math.Content.HSA-REI.A.2
Example Questions
← Previous 1
Example Question #1 : Solve Simple Rational And Radical One Variable Equations, Show Extraneous Solutions: Ccss.Math.Content.Hsa Rei.A... |
# Rational Expressions And Equations Assignment Help
## Introduction to Rational Expressions:
A rational expression is any expression or function which includes a polynomial in its numerator and denominator or which contains fractions of polynomials. A rational expression is the ratio of two polynomials. The followin... |
# What Is.04 As a Fraction?
If you’re wondering what 0.04 as a fraction is, you’re not alone. This number can be tricky to work with, but we can help. Read on to learn more about this fraction and how to work with it.
Checkout this video:
## Introduction
.04 As a fraction is equal to 4/100. The fraction is read as ... |
This is “The Standard Normal Distribution”, section 5.2 from the book Beginning Statistics (v. 1.0). For details on it (including licensing), click here.
Has this book helped you? Consider passing it on:
Creative Commons supports free culture from music to education. Their licenses helped make this book available to y... |
Decimal to fraction conversion table
Decimal Fraction
0.3 3/10
0.33333333 1/3
0.375 3/8
0.4 2/5
Also, What is 3/5 in the lowest terms?
35 is already in the simplest form. It can be written as
0.6
in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
• Find the GCD (or HCF) of numerator an... |
# How do you translate into mathematical expressions and find the number given The product of three more than twice a number and two is fourteen?
Apr 17, 2017
$2 \left(2 x + 3\right) = 14$
$x = 2$
#### Explanation:
Let the number be represented by $x$.
Start by looking for the equals sign. In this case, the word "... |
# W ARM U P O CT. 1 ST Come in, get a tracking sheet from the basket, and quietly begin the warm up. 1. Write the ordered pair that describes a point 4 units.
## Presentation on theme: "W ARM U P O CT. 1 ST Come in, get a tracking sheet from the basket, and quietly begin the warm up. 1. Write the ordered pair that des... |
# parallelogram opposite angles theorem
Both pairs of opposite angles are congruent. By the Alternate Interior Angles Theorem, ZADB < (select) and ZABD = (select). Therefore, the difference between the opposite angles of a parallelogram is: x −x = 0∘ x − x = 0 ∘ y −y = 0∘ y − y = 0 ∘ Using the Line Tool, draw line AB.... |
In this chapter we will about the concept of regular and irregular quadrilaterals with properties and examples.
## What are regular Quadrilaterals ?
The quadrilaterals in which all sides and angles are of equal measurement are called regular quadrilaterals.
Given above is the square ABCD in which all sides measure a... |
# Matrix Representations of Systems
Solving linear systems is a problem core to Linear Algebra. You will notice that so far we have already encountered a few different linear systems. Being able to solve these systems is an important skill, and Linear Algebra provides some helpful techniques to be able to do this.
Fi... |
Limits of Polynomials and Rational Functions
This page is intended to be a part of the Real Analysis section of Math Online. Similar topics can also be found in the Calculus section of the site.
# Limits of Polynomials and Rational Functions
Before we look at some theorems regarding the limits of polynomials and rat... |
How To Solve Linear Equations
Algebra is like solving a puzzle that challenges you to find a missing piece. In the case of algebra, that missing piece comes as an unknown value.
The previous chapters of this algebra review focused on how to compute algebraic expressions, but we haven’t started the “puzzle-solving” pa... |
In linear algebra, a matrix (with entries in a field) is singular (not invertible) if and only if its determinant is zero. I’m stuck..” This is the second part of our tutorial explaining how to calculate determinants. Create a script file with the following code − Why has "C:" been chosen for the first hard drive parti... |
1. ## Differentiation
I'd like help with all of the first exercise, and then the two last parts of the last two exercises, 'cause I've done the first parts.
2. Find the equation of the normal line to
$\displaystyle y = \frac{1}{(x^2 + 1)^2}$
at the point
$\displaystyle \left ( 1, \frac{1}{4} \right )$
First we want ... |
# Limsup and Liminf
Let an (n = 1, 2,…) be a sequence of real numbers, and define the sequence bn as
bn = sup am
m>n
Then bn is a nonincreasing sequence: bn > bn+1 because, if an is greater than the smallest upper bound of an+1, an+2, an+3,…, then an is the maximum of an, an+1, an+2, an+3,..hence, bn = an > bn+1 an... |
# Finite Sets and Infinite Sets
What are the differences between finite sets and infinite sets?
Finite set: A set is said to be a finite set if it is either void set or the process of counting of elements surely comes to an end is called a finite set.
In a finite set the element can be listed if it has a limited i.e... |
# Area Problem
## Related calculator: Definite and Improper Integral Calculator
Suppose that we are given continuous function $y={f{{\left({x}\right)}}}$ on ${\left[{a},{b}\right]}$ such that ${f{{\left({x}\right)}}}\ge{0}$ for all ${x}\in{\left[{a},{b}\right]}$.
We want to find area ${S}$ that lies under curve ${f{... |
# How Do You Calculate The Y Intercept?
## How do you find the Y intercept in an equation?
To find the x-intercept of a given linear equation, plug in 0 for ‘y’ and solve for ‘x’.
To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’..
## How do you find the Y intercept when given two points?
You can find t... |
# How do you solve 4x^2+17x+15=0?
Jun 11, 2018
$x = - 3$ or $x = - \frac{5}{4}$
#### Explanation:
$4 {x}^{2} + 17 x + 15 = 0$
Do
$4 {x}^{2} + 12 x + 5 x + 15 = 0$
Then
$4 x \left(x + 3\right) + 5 \left(x + 3\right) = 0$
$\left(4 x + 5\right) \left(x + 3\right) = 0$
So
$x = - 3 \text{ }$ or $\text{ } x = - \f... |
# Equation of a Circle
Last Updated : 05 May, 2024
Equation of a circle is the algebraic way to define a circle. It is the locus of the point which is at a constant distance from a fixed point. The fixed point is called the centre of the circle, and the constant distance is called the radius of the circle. The equati... |
# When 3 dice are rolled what is the probability of getting a sum of 16?
Contents
Probability of a sum of 16: 6/216 = 2.8%
## When 3 dice are rolled what is the probability of getting a sum of 8?
The total number of ways to roll an 8 with 3 dice is therefore 21, and the probability of rolling an 8 is 21/216, which ... |
Algebra Tutorials!
Wednesday 29th of June
Try the Free Math Solver or Scroll down to Tutorials!
Depdendent Variable
Number of equations to solve: 23456789
Equ. #1:
Equ. #2:
Equ. #3:
Equ. #4:
Equ. #5:
Equ. #6:
Equ. #7:
Equ. #8:
Equ. #9:
Solve for:
Dependent Variable
Number of inequalities to so... |
# Equivalent Fractions – Explanation & Examples
In mathematics, equivalent fractions are simply fractions with different numerators and denominators but represent the same proportion of a whole. Equivalent fractions seem to be different at a look, but they have similar or equal value.
For example, the equivalent frac... |
### How to read fractions ?
$$\displaystyle \frac{1}{2}$$ "one half" or "a half"
$$\displaystyle \frac{1}{3}$$ "one third" or "a third"
$$\displaystyle \frac{1}{4}$$ "one quarter" or "a quarter"
$$\displaystyle \frac{2}{3}$$ "two thirds" not "two third" ( 2 is plural so we add "s" ) .
$$\displaystyle \frac{2}{5}$$... |
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# What is Probability?
Top
Sub Topics Probability is an important topic of mathematics that is widely used not only in mathematics but in several other fields. Probability of an event is the chances of that event to be happen. An event is supposed to be a process in the language of... |
Saturday, June 29, 2024
TI 30Xa Algorithms: Solving Monic Quadratic Polynomials Quickly
TI 30Xa Algorithms: Solving Monic Quadratic Polynomials Quickly
We all know about the tried and true Quadratic Formula to solve quadratic equations. However, it is not the only way to tackle such problems.
Today’s blog is covers... |
# Precalculus (MATH-1300)
This course is basically a combination of College Algebra and Trigonometry. The course will have a great emphasis on functions. While you should have seen that concept before, you may not have concentrated on it very much. Now you will.
An expression like 3x + 2 literally stands for a real n... |
# Algebra II : Polynomials
## Example Questions
1 2 11 12 13 14 15 16 17 19 Next →
### Example Question #10 : Write A Polynomial Function From Its Zeros
Which of the following equations belongs to a quadratic with zeros at x = 2 and x = 7?
Explanation:
A quadratic with zeros at x = 2 and x = 7 would factor to , w... |
# How to solve for radius
The radius of a circle is the distance from the center to the edge of the circle. It is often used to calculate the diameter of a circle, or used as a reference for measuring the size of an object. It is measured in either millimeters or inches.
## How can we solve for radius
The formula fo... |
# How To Solve Pythagorean Theorem Problems
Because of these angles it´s easier to find out the sides of a right triangle.Let´s try to understand this by using two examples.Pythagoras or the disciples to him constructed the first known algebraic proof of the theorem and famous writers such as Plutarch and Ciceron accl... |
Question
Introduction
In simple cubic lattice, given two cubical voids, find the shortest distance between them. We’re going to use a simple heuristic approach for this problem.
How to find the shortest distance between two cubical voids in a simple cubic lattice
Find the shortest distance between two cubical voids... |
# Functions Worksheet Domain Range and Function Notation Answers
The first step to learning about functions is to define what a domain is. A domain is the set of all possible input values for a given function, while the range is the range of all possible output values. The difference between a domain and a span can be... |
# Divide Paper into nths Divisions
For the most part, knowing how to divide a sheet of paper into equal thirds, fourths, or fifths is enough. On a rare occasion you may need to divide a sheet into equal sevenths, or ninths. Divisions smaller than that are quite specialized and few "everyday" paper folders will need th... |
# 5.6 Rational functions (Page 2/16)
Page 2 / 16
## Vertical asymptote
A vertical asymptote of a graph is a vertical line $\text{\hspace{0.17em}}x=a\text{\hspace{0.17em}}$ where the graph tends toward positive or negative infinity as the inputs approach $\text{\hspace{0.17em}}a.\text{\hspace{0.17em}}$ We write
... |
# Degree of a Polynomial Remainder Theorem – Factor Theorem and its converse
Degree of a Polynomial
The highest value of the exponent of a variable (Polynomial of One Variable only) or the total of highest value of the exponent of the variables (Polynomial of Multivariable) among the terms of a Polynomial is called i... |
HomeNCERT SOLUTIONS8th CLASSClass 8 Maths Chapter 13 Direct and Inverse Proportions Solutions
# Class 8 Maths Chapter 13 Direct and Inverse Proportions Solutions
## NCERT Class 8 Maths Chapter 13 Direct and Inverse Proportions Solutions
Chapter 13 Direct and Inverse Proportions Exercise 13.1
Ex 13.1 Class 8 Maths Q... |
# Quantitative Notes on Percentages (Part I)
Updated : March 21st, 2020
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Percentage is an important part of Quantitative Aptitude for SSC Exams. Whether it is DI, Profit & Loss, SI-CI, or Allegation, etc. all these chapters with the help of percentage can be solved easily. You can go through the basics o... |
2 5 8 5 – The Mathematics Fraction of 2 5 8 5
What is 2 5 8 5?
2/5 + 5/8
2/5 + 5/ 8
Step 1
We cannot add two fractions with different denominators (the bottom number). Therefore, you must find a common denominator: the two bottom numbers must match. You will multiply the denominators together, but the numerat... |
# What The Numbers Say About Andrew Garfield (02/14/2020)
How will Andrew Garfield fare on 02/14/2020 and the days ahead? Let’s use astrology to complete a simple analysis. Note this is of questionable accuracy – don’t get too worked up about the result. I will first find the destiny number for Andrew Garfield, and th... |
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Transcript
```Page 1 of 2
5.4
Complex Numbers
What you should learn
equations with complex
solutions and perform
operati... |
## Use the table below to review the Lumos StepUp™ 8th Grade Math and Language Arts Literacy Lesson Names, Topics, along with their Common Core State Standard (CCSS) Correlations.
Course Name: Lumos StepUp – Grade 8 Math
Lesson Name
Introduction and Diagnostic Test
### Diagnostic Test – Part II
The Number System
##... |
# Between two Similar Solid Numbers exist two Mean Proportionals
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## Theorem
In the words of Euclid:
Between two similar solid numbers there fall two mean proportional numbers, and the solid number has to the solid number the ratio triplicate of that which the corresponding side has... |
# RD Sharma Solutions for Class 9 Maths Chapter 10: Congruent Triangles
The phenomenon says that if two figures are of the same shape and size or they can be termed as the mirror image of each other; then the two given figures are said to be congruent to each other. For the study of polygons, mainly triangles, congrue... |
# Polynomials: Bounds on Zeros
A clever way to know where to search for roots.
A Polynomial looks like this:
example of a polynomial this one has 3 terms
A polynomial has coefficients:
The terms are in order from highest to lowest exponent
(Technically the 7 is a constant, but here it is easier to think of them ... |
Paul's Online Notes
Home / Algebra / Preliminaries / Factoring Polynomials
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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 landscape m... |
# Calculating Limit of Function – A quotient of exponential and polynomial functions to zero – Exercise 6303
### Exercise
Evaluate the following limit:
$$\lim _ { x \rightarrow 0} \frac{(e^x-1)(e^{2x}-1)}{x^2}$$
$$\lim _ { x \rightarrow 0} \frac{(e^x-1)(e^{2x}-1)}{x^2}=2$$
### Solution
First, we try to plug in $$... |
# Infinite Series
Sequence and Series are fundamentally different from each other.
• ### Sequence
A sequence is an arrangement of numbers (or objects). For example,
${3, 7,11,15,19, \cdots}$
is a sequence. The first term is ${a_1 = 3}$, the second term is ${a_2 = 7}$.
In general, ${n}$th term in a sequence is den... |
# What is the distance between (–1, 1, 3) and (4, –1, 2)?
Jan 24, 2017
The distance is $\sqrt{30}$ or $5.48$ rounded to the nearest hundredth
#### Explanation:
The formula for calculating the distance between two points is:
$d = \sqrt{{\left(\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}\right)}^{2} + {\... |
Solving with Negative Exponents: Math Homework Help
Page content
The Problem
Solving with positive exponents makes sense. But how does solving with negative exponents work? After all, 5^2 is just 5 X 5 – or two 5s multiplied by each other. But how can you multiply negative three 5s by each other? What could the phra... |
# Determining Statistical Significance
## Presentation on theme: "Determining Statistical Significance"— Presentation transcript:
Determining Statistical Significance
Section 4.3 Determining Statistical Significance
Formal Decisions If the p-value is small: If the p-value is not small:
REJECT H0 the sample would be ... |
# Matrix Multiplication
Consider the product of a 2×3 matrix and a 3×4 matrix. The multiplication is defined because the inner dimensions (3) are the same. The product will be a 2×4 matrix, the outer dimensions.
Since there are three columns in the first matrix and three rows in the second matrix (the inner dimension... |
Categories
Probability
What is Probability?
There’s a great chance that you have heard of probability before. Speaking about chances, that’s exactly what probability is! Probability is the extent to which an event is likely to occur. Well, if that’s the case, then how do you calculate probability? Probability is mea... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Trapezoids
## Quadrilaterals with exactly one pair of parallel sides.
Estimated5 minsto complete
%
Progress
Practice Trapezoids
Progress
Estimated5 minsto complete
%
Trapezoids
What ... |
Home » Maths » Straight Angle
# Straight Angle- Definition, Diagram, Properties, Examples
Straight Angle is one of the most common types of angles found in the real world. You all must have noticed or constructed these angles in your life either knowingly or unknowingly. The line that you construct regularly ... |
# Miss C Jones Upper Rhymney Primary School KS2 Maths - PowerPoint PPT Presentation
Miss C Jones Upper Rhymney Primary School KS2 Maths
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Miss C Jones Upper Rhymney Primary School KS2 Maths
## Miss C Jones Upper Rhymney Primary School KS2 Maths
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - -... |
# Maths Multiplication Table 1 to 20 | 1 Se 20 Tak Table | All Tables 1 To 20
Maths table 1 to 20 is the basis of arithmetic calculations that are most widely used in multiplication and division. Table 1 will produce the original number. Multiplication of any number with 1 results in the original number. For example, ... |
# Standard Equation of an Ellipse
We will learn how to find the standard equation of an ellipse.
Let S be the focus, ZK the straight line (directrix) of the ellipse and e (0 < e < 1) be its eccentricity. From S draw SK perpendicular to the directrix KZ. Suppose the line segment SK is divided internally at A and exter... |
# Difference between revisions of "2017 AIME II Problems/Problem 7"
## Problem
Find the number of integer values of $k$ in the closed interval $[-500,500]$ for which the equation $\log(kx)=2\log(x+2)$ has exactly one real solution.
## Solution 1
$[asy] Label f; f.p=fontsize(5); xaxis(-3,3,Ticks(f,1.0)); yaxis(-3,26... |
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# Parallel and Perpendicular Lines in Graphs of Linear Equations
A Linear equation is an equation in which the highest exponent of the variable present in the equation is one. When we draw the graph of the linear equation, it forms a straight line.
If any two lines in the plane are drawn, they are either... |
# 2001 AMC 12 Problems/Problem 4
The following problem is from both the 2001 AMC 12 #4 and 2001 AMC 10 #16, so both problems redirect to this page.
## Problem
The mean of three numbers is $10$ more than the least of the numbers and $15$ less than the greatest. The median of the three numbers is $5$. What is their su... |
# Determine the values of the constants α and β so that the function f (x) = x3 + αx2 + βx + δ may have a relative maximum at x = −3, and a relative minimum at x = 1.
## For ease of typing, I will use
f(x) = x^3 + ax^2 + bx + c
take the derivative and the c will drop out
set this equal to zero, with x = -3 to get an... |
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# 9-4 - A triangle(which can be formed by splitting a...
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Areas of Parallelograms and Triangles Lesson 9-4
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# The angles of a quadrilateral are in the ratio 5:3:9:7. Find the angles.
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Text Solution
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## To find the angles of a quadrilateral that are in the ratio 5:3:9:7, we can follow these steps:1. Define the Angles in Terms of a Variable: Let the angles of the quadrilateral be represe... |
2007 iTest Problems/Problem 36
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Problem
Let b be a real number randomly selected from the interval $[-17,17]$. Then, m and n are two relatively prime positive integers such that m/n is the probability that the equation $x^4+25b^2=(4b^2-10b)x^2... |
# Order of Operations
In math, we have to have a set way of solving problems, otherwise everyone could get different answers. “Order of Operations” is simply a list of steps to use when solving problems with multiple operations (operations are adding, subtracting, multiplying, dividing).
The easiest way to remember t... |
# Difference between revisions of "2019 AMC 8 Problems/Problem 3"
## Problem 3
Which of the following is the correct order of the fractions $\frac{15}{11},\frac{19}{15},$ and $\frac{17}{13},$ from least to greatest?
$\textbf{(A) }\frac{15}{11}< \frac{17}{13}< \frac{19}{15} \qquad\textbf{(B) }\frac{15}{11}< \frac{19}... |
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