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# Difference between revisions of "2005 AMC 10A Problems/Problem 23"
## Problem
Let $AB$ be a diameter of a circle and let $C$ be a point on $AB$ with $2\cdot AC=BC$. Let $D$ and $E$ be points on the circle such that $DC \perp AB$ and $DE$ is a second diameter. What is the ratio of the area of $\triangle DCE$ to the ... |
# NCERT Solution for Class 8th Maths Chapter – 1 Rational Numbers
## Exercise – 1.1
Q1. Using appropriate properties find.
• -2/3 x 3/5 + 5/2 – 3/5 x 1/6
Solution:-
= -2/3 x 3/5 + 5/2 – 3/5 x 1/6
= -2/3 x 3/5 – 3/5 x 1/6 + 5/2 ( by commutativity)
= 3/5 ( -2/3 – 1/6 ) + 5/2
= 3/5 (( -4 -1 )/6) + 5/2
= 3/5 (( ... |
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# Multiplication Using Arrays
Sep 20, 2022
## Key Concepts
• Use arrays to multiply with 3.
• Use arrays to multiply with 4.
### 3.2 Apply properties: 3 and 4 as factors
#### What is meant by factors?
A factor is a number that divides the given number without any remainder.
... |
23569 Sum
Using the five digits $2,3,5,6$, and $9$, what is the sum of all positive three-digit integers using these five digits? Please note that the same digit can appear more than once.
Source: mathcontest.olemiss.edu 4/15/2013
SOLUTION
This problem is similar to the problem titled “23567” dated 3/4/2013.
Let’s tr... |
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Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
Warm Up
Estimate by rounding to the indicated
place value.
1. 70.27 + 15.36; ones 85
2. 84.37 – 21.82; tenths 62.6
Estimate each product or quotient.
3. 27.25 8.7 270
4. 44.52 ÷ 3.27 15
Problem of the Day
Find a three-digit n... |
# CLASS-10RATIO & PROPORTION - PROBLEM & SOLUTION ON PROPORTION
PROBLEM & SOLUTION ON PROPORTION -
Example.1) What least number must be added to each of the numbers 6, 15, 20, & 43, so that the resulting numbers are proportional ?
Ans.) Let the required number to be added be x. Then,
(6 + x) : (15 + x) : : (20 + x)... |
# Cryptarithmetic Division Problem 5
You may have seen almost similar problem in the examples previously, this is a harder version of the same problem and the way of solving is different. We will suggest not to look at the solution even once, keep this page opened and try solving yourself and if you get stuck somewher... |
# Curving Fitting with 6-9 Polynomial Functions Warm Up
## Presentation on theme: "Curving Fitting with 6-9 Polynomial Functions Warm Up"— Presentation transcript:
Curving Fitting with 6-9 Polynomial Functions Warm Up
Lesson Presentation Lesson Quiz Holt Algebra 2
Warm Up Find a line of best fit for the data. 1. x 2... |
## University Calculus: Early Transcendentals (3rd Edition)
1) The open interval is $(1.703,1.761)$ 2) $\delta=0.028$
Find a $\delta\gt0$ such that for all $x$ $$0\lt |x-\sqrt3|\lt\delta\Rightarrow|(x^2)-3|\lt0.1$$ 1) Find the interval around $\sqrt3$ on which $|(x^2)-3|\lt0.1$ holds. Solve the inequality: $$|(x^2)-3|... |
# From the Top of a 7 Meter High Building, the Angle of Elevation of the Top of a Cable Tower is 60° and the Angle of Depression of Its Foot is 45° . Determine the Height of the Tower. - Mathematics
From the top of a 7 meter high building, the angle of elevation of the top of a cable tower is 60° and the angle of depr... |
# Graphing Linear Equations
Grade 10 Applied Precalculus Cheetah Graphing Linear
Graphing linear equations the graph of a linear equation in two variables is a line (that's why they call it linear ). if you know an equation is linear, you can graph it by finding any two solutions ( x 1 , y 1 ) and ( x 2 , y 2 ) ,. 1.... |
# how to find the maximum height of a function
## How To Find The Maximum Height Of A Function?
To find the maximum height, find the y coordinate of the vertex of the parabola. The ball reaches a maximum height of 140 feet. c. To find when the ball hits the ground, we need to determine when the height is zero, H(t)=0... |
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# Alternate Segment Theorem
LIVE
Join Vedantu’s FREE Mastercalss
## Introduction to Alternate Segment Theorem
When a chord is drawn to a given circle, the region between the drawn chord and the corresponding arc is called a segment. Any chord drawn... |
# Write an equation of the line that passes through (3, 1) and (0, 10)
Write an equation of the line that passes through (3, 1) and (0, 10)
You can still ask an expert for help
• Questions are typically answered in as fast as 30 minutes
Solve your problem for the price of one coffee
• Math expert for every subject
... |
## Geometry Through Art
### Sample Lesson - The Square
#### I. The Square
A. Coloring Squares
3. Exploring numbers that yield squares and rectangles
When I give this lesson during an artist-in-residency presentation, the children are seated in twos or fours and supplied with 2-4 colors to be shared. I am at the fro... |
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# A Pole Has to Be Erected at a Point on the Boundary of a Circular Park of Diameter 13 Meters in Such a Way that the Difference of Its Distances from Two Diametrically Opposite Fixed Gates a and B - CBSE Class 10 - Mathematics
ConceptSolutions of Quadratic Equations by Factorization
#### Ques... |
# 17.3 The electromagnetic spectrum (Page 4/33)
Page 4 / 33
Television is also broadcast on electromagnetic waves. Since the waves must carry a great deal of visual as well as audio information, each channel requires a larger range of frequencies than simple radio transmission. TV channels utilize frequencies in th... |
1.3 Cubes and Cube roots:
In the previous classes we had studied an object called cuboid which has three dimensions namely length, breadth and height. Cube is special figure whose length=breadth=height Size(volume) of a cube = length*length*length = (length)3 if a = 1,2,3 units, then the volume of cube respectively... |
The most complicated type of binomial expansion involves the complex number i, because you're not only dealing with the binomial theorem but dealing with imaginary numbers as well. When raising complex numbers to a power, note that i1 = i, i2 = –1, i3 = –i, and i4 = 1. If you run into higher powers, this pattern repeat... |
# What Is 24/29 as a Decimal + Solution With Free Steps
The fraction 24/29 as a decimal is equal to 0.827586206.
A Fraction can be classified into three types: proper fraction, improper fraction, and mixed fraction. Fractions are converted into Decimal values to make them easy to understand, and decimal values are mo... |
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# 5.1 Linear Functions And Graphs
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# How to Calculate Fractions of numbers
Welcome to the Math Salamanders support page about How to Calculate Fractions of Numbers.
Here you will find information and support about how to find fractions of different numbers.
## How to Calculate Fractions
### How to find a fraction of a number
Here are the two easy s... |
# BCOR 1020 Business Statistics - PowerPoint PPT Presentation
1 / 22
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript
1. BCOR 1020Business Statistics Lecture 10 – February 19, 2008
2. Overview • Chapter 6 – Discrete Distr... |
In order to understand dynamics, you are going to have to understand basic principles of integral and derivative calculus. For this reason, I have posted some notes on derivatives and integrals. When you understand the principles, you should be able to complete the practice problems I have included.
#### An Intuitive ... |
You are on page 1of 7
# V.
Recurrences
Fall of 2005
Plan
1. More on multiple roots
2. Inhomogeneous equations
3. Divide-and-conquer recurrences
Multiple roots
In the previous lecture we have showed that if the characteristic equation has a multiple
root then both
n n
an and an n
are solutions. Today we will prove ... |
### Factoring 2r^2+4r-15 Solution
The variable we want to find is r
We will solve for r using quadratic formula -b +/- sqrt(b^2-4ac)/(2a), graphical method and completion of squares.
${x}_{}=\frac{-b±\sqrt{{b}^{2}-4ac}}{2a}$
Where a= 2, b=4, and c=-15
Applying values to the variables of quadratic equation -b, a an... |
# Sin Graph
Here we will learn about sine graphs, including how to recognise the graph of the sine function, sketch the sine curve and label important values, and interpret the sine graph.
There are also sine graphs worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go ne... |
# Chapter-4.01-DYNAMICS-(THEORY)-PART 01
STUDY INNOVATIONSEducator à Study Innovations
4.1 Introduction. Dynamics is that branch of mechanics which deals with the study of laws governing motions of material system under the action of given forces. (1) Displacement : The displacement of a moving point is its change of... |
# Sec 3.1
```Section 3.1
Relations and Functions
Objective 1: Understanding the Definitions of Relations and Functions
Definition
Relation
A relation is a correspondence between two sets A and B such that each element of set A
corresponds to one or more elements of set B. Set A is called the domain of the relation and... |
# Algebra/Parabola
Algebra ← Complex Numbers Parabola Circle →
## Geometric Definition
A parabola is the set of points that is the same distance away from a single point called the focus and a line called the directrix. The distance to the line is taken as the perpendicular distance.
One important point on the par... |
# Question Video: Transformations of Functions Mathematics
The function π¦ = π(π₯) is stretched in the horizontal direction by a scale factor of 2 and in the vertical direction by a scale factor of 2. Write, in terms of π(π₯), the equation of the transformed function.
03:13
### Video Transcript
The func... |
## Meta
base:mathematics_in_assembly_part_8
by Krill/Plush
# Prologue
Welcome to the eighth chapter of this tutorial, which was originally published inprinted form in the German GO64! magazine. Previously translated chapters of this tutorial can be found in the following magazines respectively:
Attitude #4 Dominat... |
# Factorize the expression $10m^3n^2 + 15m^4n - 20m^2n^3$.
Given:
The given expression is $10m^3n^2 + 15m^4n - 20m^2n^3$.
To do:
We have to factorize the expression $10m^3n^2 + 15m^4n - 20m^2n^3$.
Solution:
GCF:
A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common... |
# How to Use the Simple Interest Formula
Calculating simple concern or the sum of star, the rate, or the time of a loan can seem confuse, but it ‘s in truth not that hard. here are examples of how to use the simpleton interest recipe to find one value american samoa long as you know the others .
## Calculating concer... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# 8.2: Exponential Properties Involving Quotients
Difficulty Level: At Grade Created by: CK-12
In this lesson, you will learn how to simplify quotients of numbers and variables.
Quotie... |
Factorisation
Factorisation of an algebraic expression is the reverse process of expanding.
It involves placing brackets into an expression.
sum of terms then becomes a product.
Once an expression has been factorised, it should then be expanded to check it is correct.
Some expressions cannot be factorised.
Common Fac... |
# SSC CHSL 2017 question paper 21 Jan 2017: Quantitative Aptitude
find SSC CHSL 2017 quantitative aptitude questions of question paper held on 21 Jan 2017.
Created On: Apr 17, 2018 19:24 IST
ssc chsl question paper
As there are a plenty of topics to cover in Quantitative Aptitude section, so you have to practice muc... |
# Question Video: Evaluating Algebraic Expressions Using Laws of Exponents Mathematics
Given that 4^(π₯ β 28) = 1/4, find the value of βπ₯.
01:38
### Video Transcript
Given that four to the π₯ minus 28 power is equal to one over four, find the value of the cube root of π₯.
If we know that four to the π... |
# Cylinders
You see cylinders every day. Many things, like toilet paper, cotton reels and tin cans are shaped like cylinders. We use the word cylindrical to describe things that are shaped like cylinders. Just about anything that you roll up, like baking paper, paper towels, foil or cling wrap will be rolled up on a c... |
# Order of Operations and PEMDAS Rule
In addition to the revision notes for Order of Operations and PEMDAS Rule on this page, you can also access the following Arithmetic learning resources for Order of Operations and PEMDAS Rule
Arithmetic Learning Material
Tutorial IDTitleTutorialVideo
Tutorial
Revision
Notes
Revis... |
THE SQUARE ROOT ALGORITHM Divide the digits into groups of two, starting at the decimal point: ____________ V 10'75'80.00 The first group may contain either one or two digits. Find the largest integer (call it a) whose square is less than or equal to the first group, and write it above that group: 3 ____________ V 10'7... |
Question Video: Writing a Vector Represented Graphically in Terms of Fundamental Unit Vectors | Nagwa Question Video: Writing a Vector Represented Graphically in Terms of Fundamental Unit Vectors | Nagwa
# Question Video: Writing a Vector Represented Graphically in Terms of Fundamental Unit Vectors Mathematics • First... |
Here you will see students as young as 4 and 5 years old doing algebra and "advanced" math, without ever knowing it's supposed to be hard.
You are invited to learn how to use this method...
## Sunday, June 30, 2013
### Understanding Ratios Using Base Ten Blocks.
I had a student talk about cross multiplication like i... |
Comparing E
# Curriculum Connections
COMP E Compare fractions with unlike numerators and unlike denominators using models and symbols
1
• divide whole objects into parts and identify and describe, through investigation, equal-sized parts of the whole, using fractional names (e.g., halves; fourths or quarters).
2
• de... |
# Lesson 10: One-Way ANOVA
Lesson 10: One-Way ANOVA
## Objectives
Upon successful completion of this lesson, you should be able to:
• Explain why it is not appropriate to conduct multiple independent t tests to compare the means of more than two independent groups
• Use Minitab to construct a probability plot for a... |
## Thursday, October 26, 2017
### A minus times a minus is a plus
The reason why, we really should discuss.
So, why is the result of multiplying two negatives numbers together a positive number? There are various answers to that.
First, let's think a little about why we care.
# The rules of the (arithmetic) game
W... |
# Properties of Binary Trees
## Prerequisites
### Properties of Binary Trees
#### Introduction
• A binary tree is a type of tree in which each each node has at most two child branches.
#### Notation
• n is the number of nodes.
• nk is the number of nodes with degree k.
#### n = n0 + n1 + n2
• Any node in a bina... |
# Rhombus
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
A rhombus is a geometric figure that lies in a plane. It is defined as a quadrilateral all of whose sides are congruent. It is a special type of parallelogram, and its properties (aside from those properties of parallelograms) includ... |
# Write and graph inequalities worksheet
Since the solution 2,-1 does check. Pay close attention to the key words given below, as this will help you to write the inequality.
If you represent it with a variable, can you write an equation that models the relationship among the quantities described in the problem.
Befo... |
# Slope and y-intercept Lesson 8-3 p.397.
## Presentation on theme: "Slope and y-intercept Lesson 8-3 p.397."— Presentation transcript:
Slope and y-intercept Lesson 8-3 p.397
Slope and y-intercepts
When studying lines and their graphs (linear equations), we can notice two things about each graph. Slope—is the steepn... |
# Find two functions f and g such that (f ∘ g)(x) = h(x).
$h(x) = (x + 2)^3$
The question aims to find the functions f and g from a third function which is a composition of the function of those two functions.
The composition of functions can be defined as putting one function into another function that outputs the ... |
# Question: Is A Negative Number Larger Than A Positive Number?
## Are negative numbers smaller than positive?
Positive numbers are bigger, greater, or higher than zero.
They’re both positive numbers, but one is bigger than the other.
Negative numbers are smaller than zero.
Negative numbers get smaller and smaller... |
## Step by action solution because that calculating 47.04 is 84 percent that what number
We currently have our an initial value 47.04 and also the second value 84. Let"s i think the unknown value is Y i beg your pardon answer we will find out.
You are watching: 56 of what number is 84
As we have actually all the com... |
# Step-by-step Solution
## Integral of $\frac{x^3-x^2+x-3}{x+1}$ with respect to x
Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
÷
2
e
π
ln
log
log
lim
d/dx
Dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc
asin
acos
atan
acot
asec
acsc
sinh
cosh
tanh
coth
sech
csch
asinh
acosh
atanh
acoth
asech
acsch
### Videos
$\frac{x^{3}}{3}-x^2+... |
## Linear Maps Between Vector Spaces: Additional Definitions and Properties of Linear Maps
#### Learning Outcomes
• Compute the transpose of a matrix. Compute the transpose of the product of two matrices
• Describe the relationship between invertibility, the existence of an inverse, and the determinant of a matrix. C... |
Redemitz4s
2021-11-24
Each limit represents the derivative of some function f at some number a. Indicate an f and a in each instance.
$\underset{t\to 1}{lim}\frac{{t}^{4}-t-2}{t-1}$
Aretha Frazier
Expert
Step 1
Consider the limit
$\underset{t\to 1}{lim}\frac{{t}^{4}-t-2}{t-1}$
We want to represent it as a derivati... |
> > > Algebraic Expression Formula
# Algebraic Expression Formula
Algebra is one of the most important sub-topics in mathematics. It has many academic and practical applications. In this topic, we will discuss such concepts with algebraic expression formula and some examples. Let us learn algebra!
## Algebraic Expre... |
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SCHOOL: 7
DAILY LESSON SCHOOL LEVEL:
PLAN PLAN LEARNING
TEACHER: MARIO DINO F. VALZADO Mathematics
AREA:
TEACHING
DATES & QUARTER 2nd Quarter
TIME:
I. OBJECTIVES
A. Content Standards The learner demonstrates understanding of key concepts of algebraic
expressions, the properties of rea... |
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# Solving Absolute Value Inequalities (AVI) Step-by-Step
What is the best method for solving absolute value inequalities?
The first most important part about solving absolute value inequalities is to understand that there are two types of inequalities. These are |ax+b|<c and |ax+b|>c. These in... |
b b 2 c b g c c Title
Beginning Algebra
Tutorial 2: Symbols and Sets of Numbers
Learning Objectives
After completing this tutorial, you should be able to: Know what a set and an element are. Write a mathematical statement with an equal sign or an inequality. Identify what numbers belong to the set of natural numbe... |
# RBSE Solutions for Class 10 Maths Chapter 16 Surface Area and Volume Miscellaneous Exercise
RBSE Solutions for Class 10 Maths Chapter 16 Surface Area and Volume Miscellaneous Exercise is part of RBSE Solutions for Class 10 Maths. Here we have given Rajasthan Board RBSE Class 10 Maths Chapter 16 Surface Area and Volu... |
# How do you find the subsets of a set with 4 elements?
## How do you find the subsets of a set with 4 elements?
Including all four elements, there are 24 = 16 subsets. 15 of those subsets are proper, 1 subset, namely {a,b,c,d}, is not. In general, if you have n elements in your set, then there are 2n subsets and 2n ... |
10th mathematics exercise questions with answers
# Mensuration Exercise 15.5 – Class 10 – Solutions
### Mensuration Exercise 15.5 – Questions
1. A petrol tank is in the shape of a cylinder with hemisphere of same radius attached to both ends. If the total length of the tank is 6m and the radius is 1m, what is the ca... |
# GRADE 6 MATH REVIEW TEST
Question 1 :
A work was assigned to Mike on a Tuesday. He completed the work after 72 days. On what day did he complete the work ?
(A) Sunday (B) Tuesday (C) Thursday
Solution :
Tuesday corresponds to 2 in 7 day clock arithmetic.
We want to know the day which is 72 day... |
## Principle of Mathematical Induction:-
we know that the first positive even integer is 2 = 2 1
the second positive even integer is 4 =
the third positive even integer is 6 = 23
the fourth positive even integer is 8 = 24
………………………………………………….
If we move using the same pattern then nth positive integer=2n
but this ... |
# 6 Amazing Facts about Composite Numbers
Updated on: Educator Review By: Michelle Connolly
## Amazing Composite Numbers
In this article, we will learn the definition of composite numbers, their properties, the smallest number, the even and odd numbers, a list of composite numbers, and the difference between along w... |
# What is 4/7 divided by 13
So you want to divide your fraction 4/7 by your whole number 13, right? You're in the right place. In this simple walkthrough guide, we'll show you exactly what you need to do to divide any fraction by a whole number (it's super simple). Keep reading to find out!
If you've ready any of our... |
# Angle between $\left\langle 3, 4, 5\right\rangle$ and $\left\langle 4, -5, -3\right\rangle$
The calculator will find the angle between the vectors $\left\langle 3, 4, 5\right\rangle$ and $\left\langle 4, -5, -3\right\rangle$, with steps shown.
$\langle$ $\rangle$
Comma-separated.
$\langle$ $\rangle$
Comma-separated.... |
Statistics - Odd and Even Permutation
# Statistics – Odd and Even Permutation
Contemplate X as a finite set of at the very least two parts then permutations of X may be divided into two class of equal dimension: even permutation and odd permutation.
## Odd Permutation
Odd permutation is a set of permutations obtain... |
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# Segments from Secants and Tangents
## Product of the outside segment and whole secant equals the square of the tangent to the same point.
0%
Progress
Practice Segments from Secants an... |
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# If $x$ is real, the expression $\dfrac{{x + 2}}{{2{x^2} + 3x + 6}}$ takes all value in the interval A. $\left( {\dfrac{1}{{13}},\dfrac{1}{3}} \right)$ B. $\left[ { - \dfrac{1}{{13}},\dfrac{1}{3}} \right]$ C. $\left( { - \dfrac{1}{3},\dfrac{1}{{1... |
Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance between points A and B is 264 miles. What is the speeds of the cars, if one of the cars travels 14 mph faster than the other?
Why?
To calculate the speed of the cars, we need to write two equa... |
Blaise Pascal’s Wondertorium
by Jonathan Kujawa
Everyone learns about Pascal's Triangle when they are young. But I, at least, didn't learn all the wonders contained in the Triangle. Indeed, we're still discovering new things!
To construct the Triangle is easy enough: you start with 1's down the outside edges and eac... |
Behold the square. It may seem a little boring at first, but once you find out more about a square, you will see it is intriguing and very useful. Squares appear all around you. They are great for building, decorating, and making three-dimensional shapes. And, believe it or not, squares have a lot of interesting identi... |
# How do you write the complex number in trigonometric form 1+3i?
Sep 18, 2016
$\sqrt{10} \left(\cos \left(1.249\right) + i \sin \left(1.249\right)\right)$
#### Explanation:
To convert from $\textcolor{b l u e}{\text{complex to trigonometric form}}$
That is $x + y i \to r \left(\cos \theta + i \sin \theta\right)$
... |
## 375 is what percentage of 473?
375 is 79.281% of 473
# Percentage calculators
Use these percentage calculators to work out percentages quickly. If you want to know how to work them out yourself, follow the examples below to learn how.
## Calculate what percent one value is of another
out of is how many percent?... |
# Card Turnover Math Game
Continuing on from yesterday’s post on other ways to help your students recall the times tables, here I share with you a fun times tables card game. Card Turnover This…
Continuing on from yesterday’s post on other ways to help your students recall the times tables, here I share with you a fu... |
# Math Puzzle, Division and Multiplication Worksheet
In ideal conditions, memorizing and practical ways in mathematics are not recommended; because the main thing in mathematics is that the child creates mental schemas on his own. However, it is also wrong to say “There is no memorization in mathematics”. Because the ... |
# Sum of fractions
What is the sum of 2/3+3/5?
f = 1.2667
### Step-by-step explanation:
$f=\frac{2}{3}+\frac{3}{5}=\frac{19}{15}=1\frac{4}{15}=1.2667$
Did you find an error or inaccuracy? Feel free to write us. Thank you!
Showing 1 comment:
Dr Math
For more detailed step-by-step solution see our fraction calcula... |
Word Problems: Linear Regression
Linear Regression is a process by which the equation of a line is found that “best fits” a given set of data. The line of best fit approximates the best linear representation for your data. One very important aspect of a regression line is the relationship between the equation and the “... |
# How do solve system in natural numbers x,y,z? x+y+z=14 x+yz=19
sciencesolve | Certified Educator
You may consider the following approach, hence, you should try subtract the top equation x + y + z = 14, from the bottom equation, x + yz = 19, such that:
`x + yz - x - y - z = 19 - 14 => yz - y - z = 5 => yz - y - z ... |
### Simultaneous Equations by Substitution
Simultaneous equations are two equations with two unknown variables, and we want to find the same solution
There are 5 steps
In steps b and d we use a combination of Solving Equations − Add and Subtract and Solving Equations − Multiply and Divide
Please look at the above be... |
### Puzzles: Card Pariology Question
Puzzles: Card Pariology Question
Question: John and Matt decide to play a game using a deck of cards. The game involves flipping two cards at a time. If both cards are black, they go into John’s pile and if both cards are red, they go into Matt’s pile. If one card is red and one ca... |
# Factors of 90
Factors of 90 are the numbers, which gives the result as 90 when multiplied together in pair of two. The factors of 90 can be positive or negative, but they cannot be in the fraction or decimal form. For example, the pair factors of 90 can be (1, 90) or (-1, -90). If we multiply the pair of negative fa... |
# GRE Math : How to find permutation notation
## Example Questions
### Example Question #1 : Permutation / Combination
A chamber of commerce board has seven total members, drawn from a pool of twenty candidates. There are two stages in the board's election process. First, a president, secretary, and treasurer are... |
## Book: RD Sharma - Mathematics (Volume 1)
### Chapter: 9. Continuity
#### Subject: Maths - Class 12th
##### Q. No. 7 of Exercise 9.1
Listen NCERT Audio Books to boost your productivity and retention power by 2X.
7
##### Let Show that f(x) is discontinuous at x = 0.
Ideas required to solve the problem:
1. Meani... |
# Aliquot Divisors
When the idea came to write about this post, I had never came across the term “aliquot” to my recollection. Let’s quickly deconstruct that sentence and assign some probabilities.
• I’ve never came across the term “aliquot”: probability = 0.01
• I don’t recall having come across the term “aliquot”:... |
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# Find the value of ${\log _{\sqrt 2 }}(\,256\,)$ ?$A\,)\,8 \\ B\,)\,4 \\ C\,)\,15 \\ D\,)\,16 \\$
Last updated date: 12th Sep 2024
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Hint: First find the format of the given question as p... |
# Elementary Transformation of Matrices: Elementary Row Transformation (For CBSE, ICSE, IAS, NET, NRA 2022)
Glide to success with Doorsteptutor material for competitive exams : get questions, notes, tests, video lectures and more- for all subjects of your exam.
We have already seen that two matrices are equal when th... |
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# Algebra in Year 6 (age 10–11)
In Year 6, your child will start learning about algebra. They will use simple formulae, wil... |
# Integration of the Square Root of a^2-x^2
In this tutorial we shall derive the integration of the square root of a^2-x^2, and solve this integration with the help of the integration by parts methods.
The integral of $\sqrt {{a^2} – {x^2}}$ is of the form
$I = \int {\sqrt {{a^2} – {x^2}} dx} = \frac{{x\sqrt {{a^2} –... |
# How Many Queens are in a Deck of Cards? (A 52 Card Deck)
If you are new to cards, then you may not know how many queens exactly there are in a deck of 52 cards.
In this post, you will learn how many Queens are in a deck, what those Queens cards are, as well as answers to related questions.
## How Many Queens are i... |
# Lesson 15
### Problem 1
Select all quadrilaterals that have 180 degree rotational symmetry.
A:
trapezoid
B:
isosceles trapezoid
C:
parallelogram
D:
rhombus
E:
rectangle
F:
square
### Solution
(From Unit 2, Lesson 14.)
### Problem 2
Lin wrote a proof to show that diagonal $$EG$$ is a line of symmetry... |
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# A rope of mass 5 Kg is moving vertically with an upward force of 100 N acting at the upper end and a downward force of 70 N acting at the lower end. The tension at the mid-point of rope is.
Last updated date: 21st Jul 2024
Total views: 348.3k
V... |
The Quotient Rule For Differentiation
# The Quotient Rule for Differentiation
Recall from The Derivative of a Function page that if $f$ is a function defined on the open interval $(a, b)$ and if $c \in (a, b)$ then $f$ is said to be differentiable at $c$ if the following limit (called the derivative of $f$ at $c$) ex... |
# Can Pythagorean triples be a decimal?
Can Pythagorean Triples have Decimals? Pythagorean triples are positive integers that satisfy the Pythagorean theorem. These are natural numbers that cannot be decimals.
## Can Pythagoras have decimals?
See, Pythagorean triples are the integers that fit the formula for the Pyt... |
# A Combinatorial Proof of Fermat’s Little Theorem
I learned something new the other day while preparing for my History of Math class. And since I have not done a math post in a while, I thought I would tell you about it. Specifically, I learned a new, and very clever, method for proving Fermat’s Little Theorem.
Ferm... |
# How do you solve -5x^2 - 8x + 1 = 0 using the quadratic formula?
Aug 6, 2015
${x}_{1 , 2} = - \frac{4 \pm \sqrt{21}}{5}$
#### Explanation:
For the general form quadratic equation
$\textcolor{b l u e}{a {x}^{2} = b x + c = 0}$
the two solutions can be deterimed by using the quadratic formula
$\textcolor{b l u e... |
# How do I interpret this equation 5+1×10=? Is the answer 15 or 60?
This question aims to interpret the equation as having two operations: product and sum.
1. What do we do first when we have a math problem involving more than one operation—such as addition and subtraction or subtraction and multiplication? What do w... |
# Trigonometry/For Enthusiasts/Triangles on a Sphere
Spherical Triangle
A spherical triangle is a part of the surface of a sphere bounded by arcs of three great circles. (For a discussion of great circles, see The Distance from New York to Tokyo.) Because the surface of a sphere is curved, the formulae for triangles ... |
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