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# Difference between revisions of "1985 AHSME Problems/Problem 1"
## Problem
If $2x+1=8$, then $4x+1=$
$\mathrm{(A)\ } 15 \qquad \mathrm{(B) \ }16 \qquad \mathrm{(C) \ } 17 \qquad \mathrm{(D) \ } 18 \qquad \mathrm{(E) \ }19$
## Solution
### Solution 1
From $2x+1=8$, we subtract $1$ from both sides to get $2x=7$. ... |
# Finding the volume of the intersection region of two spheres
We have two spheres whose radiuses are $a$ cm each and their centre coordinates are $(0,a,0)$ and $(0,0,0)$ consecutively.
How can we determine the volume of the intersection regions of these given two spheres by using triple integrals?
• Adapting the id... |
# COMPOUND INTEREST WORD PROBLEMS WORKSHEET
## About "Compound Interest Word Problems Worksheet"
Compound Interest Word Problems Worksheet :
Worksheet given in this section is much useful to the students who would like to practice solving word problems on compound interest.
The formula given below can be used to fi... |
# 11.1 Systems of linear equations: two variables (Page 5/20)
Page 5 / 20
Solve the system of equations by addition.
$\begin{array}{c}2x+3y=8\\ \text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}3x+5y=10\end{array}$
$\left(10,-4\right)$
## Identifying inconsistent systems of equations containing t... |
Statistics Knowledge Portal
A free online introduction to statistics
The Method of Least Squares
When we fit a regression line to set of points, we assume that there is some unknown linear relationship between Y and X, and that for every one-unit increase in X, Y increases by some set amount on average. Our fitted r... |
# Find the angle to intersection of the following curves:
Question:
Find the angle to intersection of the following curves:
$\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ and $x^{2}+y^{2}=a b$
Solution:
Given:
Curves $\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$ .......(1)
$\& x^{2}+y^{2}=a b \ldots(2)$
Second curve... |
## Lesson: Graphing Data Developing the Concept
Your children have now learned how to create tally charts and picture graphs. While these are good ways to represent and compare data, they are not the only ways. Children will now learn another way to represent data by learning how to create and read bar graphs.
Materi... |
1. ## combinations
[note...n choose k entails the following: n!/(k!(n-k)!)
i have to simplify following statement but don't know how to go about it:
(n choose 4) + 2(n choose 5) + (n choose 6)
so if anyone could help me, that would be great
2. Originally Posted by buckaroobill
[note...n choose k entails the follow... |
6.7 Exponential and logarithmic models (Page 8/16)
Page 8 / 16
Verbal
With what kind of exponential model would half-life be associated? What role does half-life play in these models?
Half-life is a measure of decay and is thus associated with exponential decay models. The half-life of a substance or quantity is ... |
# 2016 AMC 10A Problems/Problem 24
The following problem is from both the 2016 AMC 10A #24 and 2016 AMC 12A #21, so both problems redirect to this page.
## Problem
A quadrilateral is inscribed in a circle of radius $200\sqrt{2}$. Three of the sides of this quadrilateral have length $200$. What is the length of the f... |
Adds fractions in this form $\frac{1}{2}+\frac{4}{9}$
A fraction addition, subtraction calculator is a tool that helps in adding, subtracting fractions together with clear step by step worksheet
### How to Use The fraction additon, subtraction Calculator
Enter 2/9 then follow by sign "+" and the second fraction 1/8
... |
# Reciprocal of a Rational Number
We will learn the reciprocal of a rational number.
For every non-zero rational number a/b there exists a rational number b/a such that
a/b × b/a = 1 = b/a × a/b
The rational number b/a is called the multiplicative inverse or reciprocal of a/b and is denoted by (a/b)-1.
The recipr... |
# Multiplication Chart For 4: Everything You Need To Know
## Introduction
In this year 2023, we are here to provide you with all the information you need about the multiplication chart for 4. Whether you are a student, a teacher, or just someone looking to brush up on their math skills, this article will cover everyt... |
## Section7.1Approximating Definite Integrals as Sums
The standard approach to accumulation is to reduce the problem to an area problem. If we let $$f(t)$$ be a velocity function, then the area under the $$y=f(t)$$ curve between a starting value of $$t=a$$ and a stopping value of $$t=b$$ is the distance traveled in th... |
Succeed with maths – Part 2
Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.
Free course
# 1.1 Pascal’s triangle
Numbering the tiles in Activity 1 gave a number pattern that described a geometric patter... |
You are here: Home End of chapter activity
Exercise 1: End of chapter activity
On a the probability scale below choose the which words best describe the probability of each of the following events:
1. The chance of visiting Mars.
2. The sun rising tomorrow morning.
3. Getting snow in the Kruger National Park in De... |
# 3.3 Quadratic equations: applications
Page 1 / 4
This module is from Elementary Algebra</link>by Denny Burzynski and Wade Ellis, Jr. Methods of solving quadratic equations as well as the logic underlying each method are discussed. Factoring, extraction of roots, completing the square, and the quadratic formula are ... |
# What Is Factorial In Math?
## How do you calculate a factorial?
A factorial is a function that multiplies a number by every number below it. For example 5!= 5*4*3*2*1=120. What is a Factorial?
1. 2 factorial is 2! = 2 x 1 = 2.
2. 4 factorial is 4! = 4 x 3 x 2 x 1 = 24.
3. 5 factorial is 5! = 5 x 4 x 3 x 2 x 1 = 12... |
# Lesson 4Absolutely TransformedPractice Understanding
## Learning Focus
Use transformations to graph absolute value functions.
Write the equation that corresponds to the graph of an absolute value function.
How do the graphs of quadratic functions compare to absolute value functions?
Technology guidance for today... |
# The Most Disregarded Fact Regarding What Is Y Intercept in Math Uncovered
## The Advantages of What Is Y Intercept in Math
Let’s look at the more popular graphical capabilities. So let’s go right ahead and take a look at the computer. Within this table, we’ll provide you a brief breakdown of the feasible solutions.... |
# 1963 AHSME Problems/Problem 16
## Problem
Three numbers $a,b,c$, none zero, form an arithmetic progression. Increasing $a$ by $1$ or increasing $c$ by $2$ results in a geometric progression. Then $b$ equals:
$\textbf{(A)}\ 16 \qquad \textbf{(B)}\ 14 \qquad \textbf{(C)}\ 12 \qquad \textbf{(D)}\ 10 \qquad \textbf{(E... |
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The best way to multiply 93 by 101 is to multiply it by 100 and then add 93.
# Multiplication and Division 4
This Math quiz is called 'Multiplication and Division 4' and it has been written by teachers to help you if you are studying the subject at elementary school. Playing educational quizzes is an enjoy... |
# How do you find 4% of a number?
To calculate the percentage, multiply this fraction by 100 and add a percent sign. 100 * numerator / denominator = percentage . In our example it’s 100 * 2/5 = 100 * 0.4 = 40 .
## How do you find 1/10 of a number?
To find one tenth of a number, simply divide it by 10 . The easiest w... |
Fireworks - The Solutions
July 7, 2008
We can use similar triangles to solve this problem.
(Note: Diagram NOT draw to scale.)
100/1500 = 50/x
75,000 = 100x
x = 750 feet
First let’s add the values of the fireworks James’ purchased.
2(6.99) + 1(9.99) + 1(14.99) = \$38.96
Now we have to figure out how much he owed... |
# Counting Numbers
Counting numbers are natural numbers. All are positive numbers. 1,2,3,4,5,6,... are counting-numbers. There are infinitely many counting-numbers. From the first grade we learn these numbers. The numbers remains with us till the end of our life in different forms. Such as in the form of money,while b... |
# AP Board 8th Class Maths Solutions Chapter 2 Linear Equations in One Variable Ex 2.4
AP State Syllabus AP Board 8th Class Maths Solutions Chapter 2 Linear Equations in One Variable Ex 2.4 Textbook Questions and Answers.
## AP State Syllabus 8th Class Maths Solutions 2nd Lesson Linear Equations in One Variable Exerc... |
K-8 Math Standards by Domain
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Transcription
5 starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so. Number and Operations in Base Ten Number an... |
# Derivative of mod cosx | Mod cosx Derivative
The derivative of the mod cosx is equal to (- sinx cosx)/|cosx|. Here let us learn how to differentiate mod cosx, that is, how to find d/dx(|cosx|).
The derivative formula of mod cosx is given as follows.
$\boxed{\dfrac{d}{dx}(|\cos x|)=\dfrac{-\sin x \cos x}{|\cos x|}}... |
# Differentiation Assignment Help
## Differentiation Introduction
Differentiation is all about finding rates of change of one quantity compared to another. We need differentiation when the rate of change is not constant. The slope of a curve at a point tells us the rate of change of the quantity at that point. The pr... |
, 22.06.2019 21:00 yariiixox
# Point's a and b are to be mapped onto a number line according to two equations. the solution to the equation 2/3a = -24 is the coordinate of point a. the solution to the equation 20 = -b/0.2 is the coordinate of point b.(a) solve the equation to find the coordinate of point a. show your ... |
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TEXTBOOK SOLUTIONS FOR Hutchinson s Basic Mathematical Skills With Geometry 8th Edition
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This is “Solving Equations and Inequalities”, chapter 6 from the book Advanced Algebra (v. 1.0). For details on it (including licensing), click here.
Has this book helped you? Consider passing it on:
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### Half-life problems involving carbon-14
Note: If you have not looked at the half-life videos on the Radioactivity menu, there are several which measure the drop off in radioactivity in terms of disintegrations. Included in these are two which use C-14 as the example problem to be solved.
Problem #41: A chemist det... |
DECIMALS
When we have fractions in tenths, hundredths or thousandths, we can express them in decimal fractions. We can write 7/10 or seven-tenths in this form: 0.7.
Similarly, 7/100 = 0.07 and 7/1000 = 0.007.
Points to remember:
1. When the denominator of a fraction is 10, we have only one place of decimal, example... |
# Generalise Number Patterns
## Generalising Linear Number Patterns
We can use algebra to create a general rule for a number sequence. For linear sequences, this is very easy. A linear sequence is a number sequence that goes up by the same amount every time. So for example 1, 4, 7, 10 (+3). The advantage of finding a... |
Unit 3: Subtraction
# Topic D: Subtraction with Borrowing
When you subtract, the digit that you are taking away may be larger than the top digit in that same column. You must borrow from the column on the left. First, let’s look at two examples using the place value shapes.
Example A: 243 − 128 =
Step 1: 3 ones − 8... |
# 1. Theory
Integrals of the form:
sin (nx) sin (mx)
and similar ones with products like sin (nx) cos (mx), can be solved by making use of the following trigonometric identities.
sin (A) sin (B) = −1/2[cos (A + B)−cos (AB)]
sin (A) cos (B) = 1/2[sin (A + B) + sin (AB)]
cos (A) cos (B) = 1/2[cos (A + B) + cos (AB)]
... |
# Special right triangle
(Redirected from Isosceles right triangle)
Position of some special triangles in an Euler diagram of types of triangles, using the definition that isosceles triangles have at least two equal sides, i.e. equilateral triangles are isosceles.
A special right triangle is a right triangle with som... |
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# How to Compute Ratio?
Ratios compare two numbers, usually by dividing them. If you are comparing one data point (a) to another data point (b), your formula would be a/b. This mean... |
## TETRAHEDRAL NUMBERS RECIPROCALS SUM
25 12 2009
TETRAHEDRAL NUMBERS SERIES:
This post follows with the exercises on special numbers reciprocals related series, after the blog entries about Square Pyramidal Numbers and Polygonal Numbers . In fact, this example it is not very much interesting, but I wanted to write ... |
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# Guess_Method - 21 Method of Undetermined Coefcients(aka...
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21 Method of Undetermined Coefficients (aka: Method of Educated Guess) In this chapter, we will discuss one particularly sim... |
# How do you simplify 3!2!?
Jun 30, 2018
$12$
#### Explanation:
Recall that
3! =3xx2xx1 and
2! =2xx1
Remember, factorial means we take that number and multiply it by one less than the previous number.
Putting it together, we get
$3 \cdot 2 \cdot 1 \cdot 2 \cdot 1$
$= 4 \cdot 3 = 12$
Hope this helps!
Jul 1, ... |
# SCATTERPLOTS, ASSOCIATION, AND LINE OF BEST FIT 7.1.2 –...
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SCATTERPLOTS, ASSOCIATION, AND LINE OF BEST FIT 7.1.2 –...
```SCATTERPLOTS, ASSOCIATION, AND LINE OF BEST FIT
7.1.2 – 7.1.3
Data that is collected by measuring or observing naturally varies.... |
# how to determine if a function is differentiable
If g is differentiable at x=3 what are the values of k and m? Visualising Differentiable Functions. You can only use Rolle’s theorem for continuous functions. In this case, the function is both continuous and differentiable. Conversely, if we have a function such that... |
# Problem 1
Tangents AP and AQ are drawn to circle with centre O, from an external point A. Prove that ∠PAQ=2.∠ OPQ
## Interpretation of the problem
1. O is the centre of the circle and tangents AP and AQ are drawn from an external point A.
2. OP and OQ are the radii.
3. The students have to prove thne angle PAQ=twi... |
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This content is taken from the University of Padova's online course, Precalculus: the Mathematics of Numbers, Functions and Equations. Join the course to learn more.
3.5
Precalculus
Skip to 0 minutes and 12 seconds Hello. Let us consider the first exercise of the “Roots of polynomials in pract... |
# 1.4 Right triangle trigonometry (Page 2/12)
Page 2 / 12
## Relating angles and their functions
When working with right triangles, the same rules apply regardless of the orientation of the triangle. In fact, we can evaluate the six trigonometric functions of either of the two acute angles in the triangle in [link... |
# GMAT Quant: Thoughts on Remainders
For a start, give these problems a try. A complete explanation will come at the end of the discussion.
1) When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.08, what is value of J?
(A) 22
(B) 56
(C) 78
(D) 112
(E) 175
2) When positive int... |
# Is 947/575 and 970/195 Proportional?
Are you looking to find out whether 947/575 and 970/195 form a proportion? In this article we'll compare these two to determine if there is a proportional ratio between 947/575 and 970/195. Let's get to it!
Okay, so first off we are referring to this is a proportion, but it can ... |
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# Previous Year Questions - Pair of Linear Equations in Two Variables Class 10 Notes | EduRev
## Class 10 : Previous Year Questions - Pair of Linear Equations in Two Variables Class 10 Notes | EduRev
The document Previous Year Questions - Pair of Linear Equations in Two Variables Class 10 Notes | EduRev is a... |
# Properties of a Triangle
#### Topics
• The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.
## Notes
Construct a triangle in which two sides are equal, say each equal to 3.5 cm and the third side equal to 5 cm in following fig.
A triangle in which two sides a... |
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# How I wish I'd taught... place value
Updated: Feb 24, 2023
Many teachers begin teaching place value in new academic year, and for good reason. Without mastery of the value of digits in numbers, other areas of maths would not be accessible to many.
Zero
Children learn about zero as being a plac... |
# Infix, Prefix, and Postfix Introduction
Before understanding the infix, prefix, and postfix let’s understand why this came into practice and what are its uses.
### What is the use of these notations?
Infix notation is easy to read for humans, whereas prefix or postfix notation is easier to parse for a machine(comp... |
# Lesson 4
Ratios in Right Triangles
### Problem 1
Angle $$B$$ is an acute angle in a right triangle. What is a reasonable approximation for angle $$B$$ if the ratio for the opposite leg divided by the hypotenuse is 0.67?
### Problem 2
Estimate the values to complete the table.
angle adjacent leg $$\div$$ hypoten... |
# Exercise 15.2.5
Let $R(i, j)$ be the number of times the table entry $m[i, j]$ is referenced while computing other table entries in a call of MATRIX-CHAIN-ORDER. Show that the total number of references for the entire table is
$$\sum_{i=1}^n \sum_{j=i}^n R(i, j) = \frac{n^3 - n}{3}$$
(Hint: You may find equation (... |
# Fool Proof Mathematics/CP1/Argand diagrams
Considering that a complex number is made of 2 parts, we can represent each complex number as coordinates, or vectors, on 2 planes: a real number, x-axis, and imaginary, y-axis, planes:
Using vector notation the above complex number can be represented as the vector ${\disp... |
# Lesson: Introduction to Combinations
## Comment on Introduction to Combinations
### I could not find part two of
I could not find part two of the articles.
### Thanks for the heads up!
I have fixed the broken link.
Cheers,
Brent
### Cant understand the
Cant understand the difference between the sum in link tw... |
Chapters
In this article, we will discuss what are exponential equations, exponent rules, and how to solve exponential equations. Let us start with the definition of an exponential equation.
If "a" is a number given that it is greater than 0 and not equal to 1, then the equation in exponential form is written as:
, ... |
# Points A and B are at (2 ,6 ) and (1 ,9 ), respectively. Point A is rotated counterclockwise about the origin by pi and dilated about point C by a factor of 1/2 . If point A is now at point B, what are the coordinates of point C?
Apr 21, 2018
$C = \left(1 , 6\right)$
#### Explanation:
$\text{under a counterclock... |
# Category:Arithmetic Operations
The four arithmetical operations supported by BR are addition, subtraction, multiplication and division. These operations literally correspond with their respective mathematical operators. Each of these operators may be followed by an equal sign, in which case the result of the operati... |
# 1st PUC Maths Question Bank Chapter 1 Sets
Students can Download Maths Chapter 1 Sets Questions and Answers, Notes Pdf, 1st PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.
## Karnataka 1st PUC Maths Question Bank Chapter... |
# Please turn in your Home-learning, get your notebook and Springboard book, and begin the bell-ringer! Test on Activity 6, 7 and 8 Wednesday (A day) and.
## Presentation on theme: "Please turn in your Home-learning, get your notebook and Springboard book, and begin the bell-ringer! Test on Activity 6, 7 and 8 Wednesd... |
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# If the midpoint of the line joining (3, 4) and (k, 7) is (x, y) and also passes through 2x+2y+1=0, then find the value of ‘k’.
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Hint: First find the midp... |
# How do you evaluate 5 1/10 - 1 1/5 ?
Aug 2, 2017
Find a common denominator so that the fractions can be subtracted
#### Explanation:
The common denominator between 10 and 5 is 10. To make 5 into 10 multiply by 2.
$1 \frac{1}{5} \times \frac{2}{2} = 1 \frac{2}{10}$
$5 \frac{1}{10} - 1 \frac{2}{10} = 4 \frac{11}{... |
Adding and subtracting fractions may seem tricky at first, but if we follow a few simple steps, we will have the hang of it in no time. Nevertheless, we recommend starting with 'simplifying a fraction’ if this lesson has not been read yet ;)
After this course, we will be able, among other things, to:
1. Better underst... |
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# RD Sharma Solutions - Ex-15.4, Properties Of Triangles, Class 7, Math Class 7 Notes | EduRev
## Class 7: RD Sharma Solutions - Ex-15.4, Properties Of Triangles, Class 7, Math Class 7 Notes | EduRev
The document RD Sharma Solutions - Ex-15.4, Properties Of Triangles, Class 7, Math Class 7 Notes | EduRev is ... |
CA Foundation Exam June 2023 » CA Foundation Study Material » Business Mathematics » Monotonic- Increasing and decreasing functions
# Monotonic- Increasing and decreasing functions
Study of the increasing and decreasing functions monotonically with its prime properties and theorems with and derivative test according ... |
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Algebra - Mixed Practice (Up to Quadratic Equations)
Lesson Plans > Mathematics > Algebra > Mixed Content
Algebra - Mixed Practice (Up to Quadratic Equations)
These worksheets are an immediate follow-up to the worksheet set on factoring; the new content in these worksheets is solving quadrati... |
# When a die is thrown thrice or three dice are thrown together find the total number of outcomes?
Contents
Solution: Three different dice are thrown at the same time. Therefore, total number of possible outcomes will be 63 = (6 × 6 × 6) = 216.
## When three dice are thrown together what is the probability of gettin... |
# Often asked: What Are Sequence In Math?
## How do you define a sequence?
A sequence is an ordered list of numbers. The three dots mean to continue forward in the pattern established. Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the t... |
## Trigonometry Formulas For Class 10
Trigonometry is an essential part of math. Trigonometry is important in terms of board examinations. Therefore, to solve the problems of trigonometry, it is necessary to remember the formulas. For this reason, in this article on All Trigonometry Formulas For Class 10, 11, 12, we h... |
# 11.6 Rational functions and the laplace transform
Page 1 / 1
This module will introduce rational functions and describe some of their properties. In particular, it will discuss how rational functions relate to the Laplace and provide a useful tool for characterizing LTI systems.
## Introduction
When dealing with ... |
# RD Sharma Solutions For Class 12 Maths Exercise 4.14 Chapter 4 Inverse Trigonometric Functions
Our expert team has designed the solutions for RD Sharma Solutions for Class 12 Maths Exercise 4.14 Chapter 4Â Inverse Trigonometric Functions to help students prepare for their exams with ease. RD Sharma Solutions for Cla... |
## Feb 22 Practical Numbers and Egyptian Fractions
Practical numbers are natural numbers where each natural number small than them can be written as the sum of the original numbers divisors. For example, the number 12 is practical because it has the divisors 1, 2, 3, 4, 6 and 12. From these we can make 1 (by itself), ... |
Section4.3Linear Recurrence Relations
Subsection4.3.1Linear Recurrence Realtions
Consider a sequence where a few initial terms are given, and then each successive term is defined using the terms that preceded it. For instance, we might begin a sequence with $\set{a_1,a_2,\ldots}=\set{1,2,\ldots}$ and then require $a_... |
### 3-3. Vector Addition and Subtraction: Graphical Methods
Learning Objectives
• Understand the rules of vector addition, subtraction, and multiplication.
• Apply graphical methods of vector addition and subtraction to determine the displacement of moving objects.
Figure 1: Displacement can be determined graphicall... |
# How do you find the limit of (x-pi/2)tanx x as it approaches pi/2?
Sep 25, 2015
Use $\cos x = - \sin \left(x - \frac{\pi}{2}\right)$ and the fundamental trigonometric limit.
#### Explanation:
$\left(x - \frac{\pi}{2}\right) \tan x = \left(x - \frac{\pi}{2}\right) \sin \frac{x}{\cos} x$.
Since ${\lim}_{x \righta... |
## Search This Blog
### Solved Example 1
Expand (x -2y)^3
### Solution
#### Step 1: Compare the given expression with (a - b)^3
Comparing (x - 2y)^3 with (a - b)^3, we get
a = x and b = 2y
#### Step 2: Apply the formula (a - b)^3 = a^3 - b^3 - 3ab(a - b)
Putting x in place of a and 2y in place of b in the above... |
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# wikiHow to Find Slant Asymptotes
An asymptote of a polynomial is any straight line that a graph approaches but never touches. It can be vertical or horizontal, or it can be a slant asymptote – an asymptote with a slope. A slant asymptote of a polynomial exists whenever the degree of the numerator is hi... |
In Maths Numbers are Classified into Various Types like Real Numbers, Whole Numbers, Natural Numbers, Rational Numbers, etc. Decimal Numbers is a Standard form among them used to represent integers and non-integer numbers. By going through this article, you will learn all about the Definition of Decimals, Types, Proper... |
# 1’s, 2’s’, 9’s, and 10’s Complements
In this tutorial, you will learn how to find the complement in any base system. We will see complements in decimal, binary, octal, and hexadecimal number systems. Also, you will learn how computers perform signed subtraction using complements along with addition.
Contents:
## R... |
Home Explore M1-Allens Made Maths Theory + Exercise [II]
# M1-Allens Made Maths Theory + Exercise [II]
## Description: M1-Allens Made Maths Theory + Exercise [II]
JEE-Mathematics INDEFINITE INTEGR ATION If f & F are function of x such that F' (x) = f(x) then the function F is called a PRIMITIVE OR ANTIDERIVATIVE OR ... |
What is the discriminant of x^2-4x+4=0 and what does that mean?
Jul 16, 2015
The discriminant is zero. It tells you that there are two identical real roots to the equation.
Explanation:
If you have a quadratic equation of the form
$a {x}^{2} + b x + c = 0$
The solution is
x = (-b±sqrt(b^2-4ac))/(2a)
The discrim... |
### Decimal multiplication
This is a tough topic... in a sense. It is not difficult at all, if you just follow the rule given in your math textbook, because the rule is pretty straightforward:
• To multiply decimal numbers, multiply them as if there were no decimal points, and then put as many decimal digits in the an... |
# Graph Theory Basics [eng|esp]
Racso
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## Welcome!
This short playground will give you some fundamentals about graph theory: What graphs, nodes and edges are, and how can they be used to model information and solve problems.
Want to help with more content or fixing a mistake? Find this Playground in Gith... |
# How to Solve for Properties and Proofs of the Unit Vector for Calculus
In our discussion on vectors, it is oftentimes helpful to look at the components of that vector. We can see those individual parts when we write out a vector as a = <a1, a2, a3>. But what does each of these components mean? How can we find a way... |
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In our previous blog post, we were answering the question "Why is it useful to write complex numbers in trigonometric form?"
We saw how squaring a complex number can be simplified using trig, and we saw the same thing is true for multiplying any two complex numbers. In this blog post we'll expl... |
# Geometry app
Geometry app can be a helpful tool for these students. So let's get started!
## The Best Geometry app
This Geometry app supplies step-by-step instructions for solving all math troubles. A differential equation is an equation that relates a function with one or more of its derivatives. In order to solv... |
# 3 Exponential Functions Logarithmic Functions Exponential Functions as Mathematical Models Exponential and Logarithmic Functions
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Lesson 6Pied!Solidify Understanding
Ready
The U.S. Department of Justice’s 2010 Americans with Disabilities Act (ADA) Standards of Accessible Design require that the number of van-accessible parking spaces compared to the number of designated accessible parking spaces be one out of every six.
1.
If a mall has parki... |
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# Tutor profile: Deepak D.
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It is a markup language which makes documents etc. No questions here.
In... |
# Worksheet on Properties of Whole Numbers
## Worksheet of Properties of Whole Numbers
### Solved Examples on Properties of Whole Numbers
1. Fill in the following blanks with suitable answers.
i. 120 × (273 + 40) = _____ + (120 × 40)
ii. 89 × 12 = 12 × (80 + ____ )
iii. 60 × 204 = (60 × 200) + (60 × ____ )
a) i... |
Unit 5 - Objective 6 - Solving 3 Equations in 3 Unknowns Algebraically
Now solve a system of 3 equations in 3 unknowns and find its solution which is the set of values x, y, and z that satisfy all three equations. The general method is to pair 2 equations and eliminate one variable. Pair 2 other equations and eliminat... |
### Digital Root or Digital Sum of a Number and its significance
The word Digit means the single figure number; the numbers from 1 to 9 and zero.In mathematics, the digit sum of a given integer is the sum of all its digits, (e.g.: the digit sum of 84001 is calculated as 8+4+0+0+1 = 13).
The digital root (also repeate... |
# Average Force Formula
The force applied by a body that’s traveling at a definite velocity (rate of speed) for a definite period of time is the average force. The word ‘average’ is made use of to specify that this velocity is not an accurately measured or ‘instantaneous’ velocity. Therefore, the mass of the body mul... |
# Dividing algebraic fractions
In this post we will learn to divide two algebraic fractions using solved examples.
To understand this chapter you should have basic knowledge about factorization of polynomials.
## How to divide algebraic fractions ?
Two fractions can be easily divided by converting division sign int... |
# How to Calculate Velocity: A Comprehensive Guide for Beginners
## Introduction
Velocity is a fundamental concept in physics that describes an object’s motion with respect to time. It is defined as the rate of change in displacement per unit time and is used to measure how fast an object travels in a specific direct... |
# Investigation Two: Comparing Fractions
Shodor > Interactivate > Textbooks > Connected Mathematics Grade Six > Investigation Two: Comparing Fractions
Connected Mathematics Grade Six
Bits and Pieces I
Investigation Two: Comparing Fractions
Calculating...
Lesson (...)
Lesson: Introduces students to fractions and exp... |
Question of The Day15-06-2020
# How much equal money should a person pay in 5 installments to discharge a debt of ₹ 1100 which got due in 5 years at 5% p.a. of simple interest?
Correct Answer : c ) ₹ 200
Explanation :
Quick Approach
Amount of money paid in each instalment = $${100P \over 100T+ {T(T-1)R \over 2... |
# Shortcuts formulas for finding Squares of numbers-fast math tricks for calculating squares part #1
Calculating Squares of numbers is the most common task in all of the exams whether its competitive or entrance or qualifying. But calculating the Squares takes time and time is money and that's why we need to save it. ... |
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