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# Find the value of $k$, for which $f(x)=\begin{cases} \frac{\sqrt{1+kx}-\sqrt{1-kx}}{x}, \text{if} \ -1\le x < 0 \\ \frac{2x+1}{x-1}, \text{if} \ 0\le x < 1 \end{cases}$ is continuous at $x=0$
## Example:
Find the value of $k$, for which $f(x)=\begin{cases} \frac{\sqrt{1+kx}-\sqrt{1-kx}}{x}, \text{if} \ -1\le x<0 \\... |
# Inscribed Similar Triangles
## Division of a right triangle into two similar triangles.
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# Problems from Compound rule of three
In July, a family of $$4$$ people spends $$10$$ days in a hotel on the beach for $$2.500$$ €. How much it will be for a group of $$6$$ persons to spend the second two weeks of July in the same hotel?
See development and solution
### Development:
The first step to solve the exe... |
Conversion of Radians into Degrees and Vice Versa
We know that the circumference of a circle of radius $r$ is $2\pi r = \left( l \right)$ and the angle formed by one complete revolution is $\theta$ radian; therefore,
Thus we have the relationship
Further
Example:
Convert the following angles into degrees:
(i) $\f... |
# How do you simplify cosx/(1+sinx) + (1+sinx)/cosx?
May 23, 2018
$\frac{\cos x}{1 + \sin x} + \frac{1 + \sin x}{\cos x} = 2 \sec x$
#### Explanation:
$\frac{\cos x}{1 + \sin x} + \frac{1 + \sin x}{\cos x} = \frac{{\cos}^{2} x + {\left(1 + \sin x\right)}^{2}}{\left(1 + \sin x\right) \cos x}$
$\textcolor{w h i t e}... |
# Normal Approximation to solve a Binomial Problem
Binomial Theorem > Normal Approximation to solve a binomial problem
## Normal Approximation: Overview
A normal distribution curve, sometimes called a bell curve.
When n * p and n * q are greater than 5, you can use the normal approximation to solve a binomial distr... |
We think you are located in South Africa. Is this correct?
# Evaluating Internal Resistance In Circuits
Exercise 10.2
Describe what is meant by the internal resistance of a real battery.
Real batteries are made from materials which have resistance. This means that real batteries are not just sources of potential di... |
Mathematics » Introducing Graphs » Understand Slope of a Line
# Solving Slope Applications
## Solving Slope Applications
At the beginning of this section, we said there are many applications of slope in the real world. Let’s look at a few now.
## Example
The pitch of a building’s roof is the slope of the roof. Kno... |
# The Area of a Cyclic Quadrilateral
A quadrilateral inscribed is a circle is known as a cyclic quadrilateral. The proof is beyond the scope of this tutorial and will be discussed in an advanced tutorial, so only the formula is given here for application.
If $a$, $b$, $c$ and $d$ are the sides of a cyclic quadrilater... |
# Viewing a Square
By Jonathan Osters @callmejosters & Chris Robinson @isomorphic2crob, The Blake School
This week, we were taking a look through How to Solve It, and came across this problem that intrigued us. The problem is as follows:
Point P is a point outside a square. Define the “viewing angle” as an angle tha... |
# What Do The Stars Say About Scott Speedman? (01/14/2020)
How will Scott Speedman do on 01/14/2020 and the days ahead? Let’s use astrology to complete a simple analysis. Note this is not at all guaranteed – take it with a grain of salt. I will first find the destiny number for Scott Speedman, and then something simil... |
Four congruent equilateral triangles are placed in a row. A line connects the bottom left vertex of the first triangle to the top vertex of the last triangle. If each equilateral triangle has an area equal to 6, what is the area above the line contained within the triangles, as shaded in yellow?
As usual, watch the vi... |
# McGraw Hill Math Grade 4 Chapter 10 Lesson 7 Answer Key Problem Solving: Draw a Picture and Write an Equation
Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 10 Lesson 7 Problem Solving: Draw a Picture and Write an Equation to secure good marks & knowledge in the exams.
## McGraw-Hill Math... |
# *1. Understand the concept of a constant number like pi. Know the formula for the circumference and area of a circle.
Save this PDF as:
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Download "*1. Understand the concept of a constant number like pi. Know the formula for the circumference and area of a circle."
## Transcription
... |
# Mensuration – 2D : : Download Mathematics Study Notes Free PDF For REET/UTET Exam
## Study Notes on 2D Mensuration
Mathematics is an equally important section for REETMPTET & DSSSB Exams and has even more abundant importance in some other exams conducted by central or state govt. Generally, there are questions ask... |
# First Condition of Equilibrium
We may say that an object at rest is in equilibrium or in static equilibrium. An object at rest is described by Newton's First Law of Motion. An object in static equilibrium has zero net force acting upon it.
The First Condition of Equilibrium is that the vector sum of all the forces ... |
# RS Aggarwal Solutions for Class 8 Maths Chapter 11 - Compound Interest Exercise 11C
RS Aggarwal Solutions for the Exercise 11C of Class 8 Maths Chapter 11, Compound Interest is provided here. BYJU’S expert team have solved in such a way that learners can understand easily and comfortably. This exercise includes te... |
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You are viewing an older version of this Concept. Go to the latest version.
# Sums and Differences of Independent Random Variables
## Horizontal and vertical translations of the histogra... |
The Radius of Convergence of a Power Series Examples 1
# The Radius of Convergence of a Power Series Examples 1
Recall from The Radius of Convergence of a Power Series page that we can calculate the radius of convergence of a power series using the ratio test, that is if $\lim_{n \to \infty} \biggr \rvert \frac{a_{n+... |
## How do you explain Bodmas rule?
The BODMAS rule states we should calculate the Brackets first (2 + 4 = 6), then the Orders (52 = 25), then any Division or Multiplication (3 x 6 (the answer to the brackets) = 18), and finally any Addition or Subtraction (18 + 25 = 43). Children can get the wrong answer of 35 by work... |
# Does A Quadratic Equation Have Equal Roots?
## Are there two distinct real roots?
If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots.
If the discriminant is equal to zero, this means that the quadratic equation has two real, identical roots..
... |
# Physics
### Projectiles
In this tutorial, you will learn the following:
• Projectiles
• Vertical and horizontal motion of projectiles
• Interactive simulation for you to see how the vertical and horizontal velocities change with time
• Four different scenarios of projectiles with worked examples
• Projectile motio... |
# How do you simplify (7y -x)^2?
Jan 25, 2017
$49 {y}^{2} + {x}^{2} - 14 x y$
#### Explanation:
It is a binomial squared:
${\left(a + b\right)}^{2} = {a}^{2} + {b}^{2} + 2 a b$
Jan 25, 2017
See below.
#### Explanation:
This is a binomial so we can make use of the standard formula
${\left(\textcolor{red}{\text... |
Basic Math | Basic-2 Math | Prealgebra | Workbooks | Glossary | Standards | Site Map | Help
# QuickQuiz: Single-Digit Multiplication
This activity was designed to help you practice simple multiplication. You're going to see a variety of problems that ask you to multiply numbers between one (1) and nine (9). All of th... |
# Algebra II : Graphing Polynomial Functions
## Example Questions
← Previous 1 3
### Example Question #1 : Graphing Polynomial Functions
Where does the graph of cross the axis?
Explanation:
To find where the graph crosses the horizontal axis, we need to set the function equal to 0, since the value at any point al... |
# Sta220 - Statistics Mr. Smith Room 310 Class #13.
## Presentation on theme: "Sta220 - Statistics Mr. Smith Room 310 Class #13."— Presentation transcript:
Sta220 - Statistics Mr. Smith Room 310 Class #13
Section 4.4-4.5
The graphical form of the probability distribution for a continuous random variable is a smooth... |
# Intuition behind a method of adding two fractions
1. Jan 6, 2010
### Juwane
One way to add two fractions is to multiply the numerators of both fractions with each other's denominator, then adding the two products, gives us the numerator of the final result. Then we multiply together the denominators of each other-... |
# How to Teach Fractions: All You Need to Know
Learning fractions can be hard for many children because it goes beyond basic simple arithmetic calculations. To understand the concept, kids need to practice with examples every day before they can master fractions. This article provides tips on how to learn fractions in... |
# Additional Question Answers: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9
## Class 9: Additional Question Answers: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9
The document Additional Question Answers: Number System Notes | Study Mathematics (Maths) Class 9 - Class 9 is a p... |
# Problems on Size Transformation
Here we will solve different types of problems on size transformation.
1. A map of a rectangular park is drawn to a scale of 1 : 5000.
(i) Find the actual length of the park if the length of the same in the map is 25 cm.
(ii) If the actual width of the park is 1 km, find its width ... |
# IMAT 2011 Q80 [Semicircular]
A square piece of metal has a semicircular piece cut out of it as shown. The area of the remaining metal is {100cm^2}.
Which of the following is a correct expression of the length of the side of the square in cm?
A. 10 \sqrt{\frac {1}{8-π}}
B. 10 \sqrt{\frac {2}{4-π}}
C. 20 \sqrt{\fr... |
# What is a section formula?
## What is a section formula?
The section formula gives the coordinates of a point which divides the line joining two points in a ratio, internally or externally. P ( x , y ) = ( c ⋅ m + a ⋅ n m + n , d ⋅ m + b ⋅ n m + n ) .
## How do you find the midpoint of a section?
The midpoint is ... |
# Formulas for Area of a Triangle.
There are a lot of formulas and techniques to find the area of a triangle. We can use many different formulas to calculate area of a triangle according to the given conditions. Here we shall derive some of the main formulas used to calculate area of a triangle.
Formulas for Area of ... |
## Engage NY Eureka Math 4th Grade Module 1 Lesson 11 Answer Key
### Eureka Math Grade 4 Module 1 Lesson 11 Problem Set Answer Key
Question 1.
Solve the addition problems below using the standard algorithm.
a.
Explanation:
While adding two numbers we add the numbers according to the place values individually. We add... |
# Matrices I
• ### Introduction
A matrix (plural : matrices) is a rectangular arrangement of $m \times n$ numbers in $m$ rows and $n$ columns. It is written in between a pair of rectangular brackets. The numbers belonging to a matrix are known as its elements. Matrices are represented by capital Roman letters. For ex... |
# Mathematical Preliminaries (Advanced Methods in Computer Graphics) Part 3
## Curves
In Sect. 2.3, we came across the equation of a straight line expressed in terms of linear polynomials of a single parameter t (Eq. 2.12). Polynomials of a higher degree in t can be used to define curves in three-dimensional space. I... |
660 views
### C1 - Simplifying a fraction that has a root on the denominator
(7+√5)/(√5-1)
In this example we are given (√5-1) as our denominator, and we want to simplify this complex fraction into the form a + b√5.
In order to do this our first step is to elimate the denominator. To do this, we use the rule associ... |
## How do u find the volume of a cylinder?
The formula for finding the Volume of a right circular cylinder is: V = πr2h, where r is the radius of the circle at one base of the cylinder, and h is the height of the cylinder (the distance between the bases.) Example: The radius of the base of a right circular cylinder is... |
# 1709 Sometimes “Guess and Check” Is a Good Strategy
Contents
### Today’s Puzzle:
Most of the puzzles I publish are logic puzzles, and I encourage you to find the logic of the puzzle and not guess and check. However, guess and check is a legitimate strategy in mathematics, and it is a legitimate strategy to solve ... |
# Goldbach's Conjecture Proof
$\color{#D61F06}{\text{This proof does not demonstrate Goldbach's Conjecture.}}$
$\color{#D61F06}{\text{ Can you figure out what this proof actually shows?}}$
Goldbach's Conjecture says that all even integers greater than $2$ can be written as a sum of $2$ prime numbers (may or maynot be... |
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# Which number replaces the question mark?$a.{\text{ 10}} \\ b.{\text{ 12}} \\ c.{\text{ 14}} \\ d.{\text{ 16}} \\$
Last updated date: 16th Sep 2024
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Hint: - Addition of the corner numbers ... |
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# Quick Tip: Smoothly Move an Entity to the Position of the Mouse
Difficulty:IntermediateLength:ShortLanguages:
Here's a simple snippet of code that comes in handy all the time: how to move an object from one point... |
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# Class 12 RD Sharma Solutions – Chapter 17 Increasing and Decreasing Functions – Exercise 17.1
• Last Updated : 03 Jan, 2021
### Question 1: Prove that the function f(x) = loge x is increasing on (0,∞).
Solution:
Let x1, x2 ∈ (0, ∞)
We have, x1<x2
⇒ loge x1 < loge x
⇒ f(x1) < f(x2... |
Interview First Aid
Starter's Guide to Case Prep
Crack the Case Interview
Ace the Personal Fit Interview
Master the Problem Solving Test
Case Cracking
## Apply these shortcuts to impress your interviewer with outstanding mental math skills
The best way to prepare for the quantitative portion of case interviews is to ... |
# Find the rate of change of the area of a circle with respect to its radius r, when r = 3 cm.
This question was previously asked in
AWES TGT 2015: Mathematics
View all AWES Army Public School Papers >
1. 2π cm/s
2. 6π cm/s
3. 16π cm/s
4. 12π cm/s
Option 2 : 6π cm/s
## Detailed Solution
Concept;
• Area of circle i... |
Wheel Factorization
May 8, 2009
Having discussed prime numbers in several previous exercises, we are now interested in the problem of factoring an integer n; for instance, the prime factors of 42 are 2, 3, and 7. A simple factoring method is to perform trial division by all the integers counting from 2 to the square ... |
# How do you solve 2/3 = 2 - (5x-3)/(x-1)?
Jul 12, 2016
$x = \frac{5}{11}$
#### Explanation:
$\frac{2}{3} = 2 - \frac{5 x - 3}{x - 1}$
In an equation with fractions, we can get rid of denominators completely by multiplying by the LCM of the denominators. Then the denominators can cancel.
In this case the LCM = $\... |
# The graph of a linear equation contains the points (3.11) and (-2,1). Which point also lies on the graph?
May 12, 2018
(0, 5) [y-intercept], or any point on the graph below
#### Explanation:
First, find the slope with two points by using this equation:
$\frac{{Y}_{2} - {Y}_{1}}{{X}_{2} - {X}_{1}}$ = $m$, the slo... |
# Lesson Worksheet: Scale Drawings Mathematics
In this worksheet, we will practice interpreting simple scale drawings and finding real dimensions given a scale model.
Q1:
In a plan of a residential compound, if the buildings are 5 cm in height, the plan uses a 1 cm : 3 m scale. What is the height of the buildings in... |
Hong Kong
Stage 4 - Stage 5
# Recurrence relationships for GP's
Lesson
The formula for the $n$nth term of a geometric sequence is given by $t_n=ar^{n-1}$tn=arn1, but there is another way to express the geometric relationship between terms.
It is generally known as a recurrence relationship and for geometric sequenc... |
# Topic 2 number system
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MTE3101 Knowing Numbers
Topic 2Elementary Number Theory
2.1 Synopsis This topic covers different number systems and focusses on the definition of number systems, classifications within the set of real numbers and number representation. The number sy... |
# Solving For X Practice Problems
Given that the first time he took the test Brian had answered 150 questions correctly, how many correct answers did he answer in the second test?
If we use the method of addition in solving these two equations, we can see that what we get is a simplified equation in one variable, as ... |
Pvillage.org
What are sequences ks3?
What are sequences ks3?
A number pattern which increases (or decreases) by the same amount each time is called a linear sequence.
What do you mean by limit of a sequence?
In mathematics, the limit of a sequence is the value that the terms of a sequence “tend to”, and is often d... |
IB Mathematics (HL)/Group Theory
The aims of this option are to provide the opportunity to study some important mathematical concepts, and introduce the principles of proof through abstract algebra. For this topic, you do not need any background knowledge of a core topic.
Naive Set TheoryEdit
Sets can be used as a f... |
# What is 122/109 as a decimal?
## Solution and how to convert 122 / 109 into a decimal
122 / 109 = 1.119
The basis of converting 122/109 to a decimal begins understanding why the fraction should be handled as a decimal. Both are used to handle numbers less than one or between whole numbers, known as integers. But i... |
+
## Common Core Standards
In Grade 6, instructional time should focus on four critical areas: (1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) completing understanding of division of fractions and extending the notion of number to t... |
## Are A and B independent?
Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true. You can use the equation to check if events are independent; multiply the probabilities of the two events together to see if they equal the probability of them both happening together.
## What does P A or B mea... |
# Geometric Sequences
A series of free, online lessons for Intermediate Algebra (Algebra II) with videos, examples and solutions.
In these lessons, we will learn
• how to find the common ratio of a geometric sequence
• how to find the formula for the nth term of an geometric sequence
• how to find the sum of an geom... |
# What is the limit of (x^2 + x- 30)/|x- 5| as x approaches infinity?
Mar 8, 2015
${\lim}_{x \rightarrow \infty} \frac{{x}^{2} + x - 30}{\left\mid x - 5 \right\mid} = \infty$
For positive values of $x$, $\left\mid x - 5 \right\mid = x - 5$. So,
${\lim}_{x \rightarrow \infty} \frac{{x}^{2} + x - 30}{\left\mid x - 5 ... |
l2 (2)
# l2 (2) - Mathematical Foundations of Computer Science...
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## How do you calculate percentiles in business statistics?
Percentiles can be calculated using the formula n = (P/100) x N, where P = percentile, N = number of values in a data set (sorted from smallest to largest), and n = ordinal rank of a given value. Percentiles are frequently used to understand test scores and b... |
## Calculus: Early Transcendentals (2nd Edition)
The solution is $$\lim_{x\to0^+}(\sin x)\sqrt{\frac{1-x}{x}}=0.$$
We will use L'Hopital's rule to calculate this limit. "LR" will stand for "Apply L'Hopital's rule". $$\lim_{x\to0^+}(\sin x)\sqrt{\frac{1-x}{x}}=\lim_{x\to0^+}\frac{\sin x}{\sqrt{\frac{x}{1-x}}}=\left[\fr... |
Minuend and Subtrahend
# Minuend and Subtrahend
## Minuend and Subtrahend
Do you know that the three numbers involved in a subtraction equation are called using three different names? They are minuend, subtrahend and difference. We will discuss these terms one by one in this article.
We know that subtraction is the... |
# NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.3 – Linear Equations in two Variables
Download NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.3 – Linear Equations in two Variables. This Exercise contains 8 questions, for which detailed answers have been provided in this note. In case you are looking a... |
# Find length and width
• Oct 25th 2009, 06:47 PM
Nightasylum
Find length and width
of a rectangle that has the given perimeter and a maximum area.
Perimeter : 80 meters
Im still not sure how to set these up to prove with calculus.
2x+2y=80?
• Oct 25th 2009, 06:52 PM
Chris L T521
Quote:
Originally Posted by Nightasy... |
# Graphical Representation of a Function that Represents Direct Proportionality
🏆Practice graphical representation
The graphical representation of a function that represents direct proportionality is actually the ability to express an algebraic expression through a graph. Since it's a direct proportionality, the gra... |
# 2017 AMC 8 Problems/Problem 21
## Problem
Suppose $a$, $b$, and $c$ are nonzero real numbers, and $a+b+c=0$. What are the possible value(s) for $\frac{a}{|a|}+\frac{b}{|b|}+\frac{c}{|c|}+\frac{abc}{|abc|}$?
$\text{(A) }0\qquad\text{(B) }1\text{ and }-1\qquad\text{(C) }2\text{ and }-2\qquad\text{(D) }0,2,\text{ and... |
# Tanisha is planning a backyard party. She will serve hamburgers, potato salad, strawberry shortcake, and lemonade. Including Tanisha, 28 people will be at the party. Use this information to help Tanisha plan her party. Tanisha expects that each person will drink two 8−ounce glasses of lemonade at the party, and makes... |
# MSC # 27 – Transpose and Apply
The Vedic Mathematics Sutra or word formula “Transpose and Apply” has a much wider application than the “transposition” which we know in Algebra as a short cut of the “golden rule’ of Algebra: do unto one side of the equation, what you do on the other side.
We first introduced this Su... |
# Find the Surface Area of a Cuboid
In this worksheet, students will learn the formula for finding the surface area of a cuboid and use it to solve simple problems.
Key stage: KS 4
Year: GCSE
GCSE Subjects: Maths
GCSE Boards: AQA, Eduqas, Pearson Edexcel, OCR,
Curriculum topic: Geometry and Measures, Mens... |
The MathBlog Percentage Calculator allows you to easily and quickly perform a variety of percentage calculations to meet all your needs. Whether you’re figuring out discounts, tips, or changes in values, use the calculators below to help you find the answers in just a few clicks.
## What is percentage of $$x$$?
What ... |
#### Please solve RD Sharma Class 12 Chapter 21 Differential Equations Exercise Case Study Based Question (CSBQ) Question 1 Subquestion (v) maths textbook solution.
Answer: option(b) $r=(27+63 t)^{\frac{1}{3}}$
Hint: Here the case is given of inflate , so use formula $4 \pi r^{2} \frac{d r}{d t}=-\lambda$ and solve ... |
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# Properties of Altitude
Reviewed by:
Last updated date: 02nd Aug 2024
Total views: 170.1k
Views today: 4.70k
## Overview of Properties of Altitude
Have you ever wondered what that line which falls perpendicular to either of the sides of a tria... |
### Home > MC1 > Chapter 1 > Lesson 1.1.3 > Problem1-22
1-22.
Study the dot patterns in parts (a) and (b) below. Assume that each pattern continues to increase by the same number of dots and in the same locations for each figure. For each pattern, sketch the $4$th and $5$th figures and then predict how many dots will... |
# Trigonometry/For Enthusiasts/Regular Polygons
A regular polygon is a polygon with all its sides the same length and all its angles equal. A polygon can have any number (three or more) of sides so there are infinitely many different regular polygons.
### Interior Angles of Regular PolygonsEdit
To demonstrate that a... |
# Adding 3 Digit Numbers Using Standard Algorithm
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Team Digital
Adding 3 Digit Numbers Using Standard Algorithm
CCSS.MATH.CONTENT.4.NBT.B.4
### In this Video
Mr. Squeaks is taking off on the trip of a lifetime! He is going to visit a magical place that his beloved grandp... |
RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions - GMS - Learning Simply
Students' favourite free learning app with LIVE online classes, instant doubt resolution, unlimited practice for classes 6-12, personalized study app for Maths, Science, Social Studies, video e-learning, online tuto... |
# Introducing Volume.
## By FutureSchoolVideos
This video is an introduction to understanding volume and standard units. The instructor uses animated blocks to help him describe volume.
# Volume of a Pyramid, Deriving the Formula
## By mathematicsonline
complete explanation for volume of a pyramid here: http://pyt... |
# 7.2b Interquartile Range 1
Measures of Dispersion (Part 2)
7.2b Interquartile Range 1
(A) Interquartile Range of Ungrouped Data
Example 1:
Find the interquartile range of the following data.
(a) 7, 5, 1, 3, 6, 11, 8
(b) 12, 4, 6, 18, 9, 16, 2, 14
Solution:
(a) Rearrange the data according to ascending order.
Int... |
We have already learned how to operate with integers (addition, subtraction, multiplication, and division) as well as its order of operation. Test your skills in addition of fraction in this quiz below. Fill in the blanks with the correct answer. Good luck!
A quiz on addition of integers.
How to Add Positive and Nega... |
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# 4.2: Trig Proofs
Difficulty Level: At Grade Created by: CK-12
This activity is intended to supplement Trigonometry, Chapter 3, Lesson 2.
ID: 9776
Time required: 30 minutes
## Activ... |
Simplify Square Root of 12000
Here we will show you two methods that you can use to simplify the square root of 12000. In other words, we will show you how to find the square root of 12000 in its simplest radical form using two different methods.
To be more specific, we have created an illustration below showing what... |
Smartick is a fun way to learn math!
Dec31
# Addition With and Without Carrying
In today’s post, we are going to learn how to solve addition problems with and without carrying. We will also see some examples of exercises that children complete in Smartick.
But first, let’s review what addition is!
Index
Addition ... |
# Let's Describe Algorithms Better
I was reading a cryptography textbook, and I came across an algorithm that reminded me why I often dislike descriptions of algorithms in textbooks. This is a short post going over this example, and thinking about how to improve these descriptions.
Specifically, I often dislike the i... |
Trigonometric Functions
# Trigonometric Functions
Edited By Team Careers360 | Updated on Aug 14, 2023 04:44 PM IST
Introduction:
One of the most important concepts in mathematics is trigonometry. The measuring of angles and sides of a triangle is the subject of trigonometry. Normally, trigonometry is used to solve p... |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$... |
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Get Full Access to Elementary Statistics - 12 Edition - Chapter 3.3 - Problem 19bsc
Get Full Access to Elementary Statistics - 12 Edition - Chapter 3.3 - Problem 19bsc
×
# In Exercises, find the range, variance, and | Ch 3.3 - 19BSC
ISBN: 9780321836960 18
## Solution for problem 19BSC Chapter 3.3
Elementary Stat... |
# Which ordered pair is a solution of the equation y=x-4?
a. (2,6)
b. (6,2)
c. (-2,6)
d. (3,1)
A)(-1,-5)
B) (0,-3)
C)(2,6)***??
D)(3,1)
## if (2,6) is right then
6 = 2 -4
but it is not so
try a
-5 = -1 -4
-5 = -5 that seems to work
## To determine which ordered pair is a solution of the equation y = x - 4, you ne... |
# A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond
## 1 Answer
Toolbox:
• Given $E_1, E_2, E_3.....E_n$ are mutually exclusive and exhaustive events, we can find the conditional pr... |
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# The Smallest and Greatest Number
## What is Greatest Number and the Smallest Number in Maths?
The smallest number in maths is 1. There is no end to numbers in mathematics. In mathematics, 1 is the smallest number and the largest number has no end.... |
# 1999 AHSME Problems/Problem 23
## Problem
The equiangular convex hexagon $ABCDEF$ has $AB = 1, BC = 4, CD = 2,$ and $DE = 4.$ The area of the hexagon is $\mathrm{(A) \ } \frac {15}2\sqrt{3} \qquad \mathrm{(B) \ }9\sqrt{3} \qquad \mathrm{(C) \ }16 \qquad \mathrm{(D) \ }\frac{39}4\sqrt{3} \qquad \mathrm{(E) \ } \frac... |
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# geometric progression
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When the same constant is added to the numbers \$60,\$ \$100,\$ and \$110,\$ a three-term geometric sequence arises. What is the common ratio of the resulting sequence?
Sep 8, 2023
#1
+850
+3
When the same constant is added to the numbers \$60,\$ \$100,\$ and \$110,\$ a three-ter... |
# Additive and Multiplicative Rules for Probability
## Apply tree diagrams to calculations.
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Additive and Multiplicative Rules for Probability
### The Additive and Multiplicative Rules
#### Venn Diagrams
When the probabilit... |
# Eureka Math Algebra 2 Module 3 Lesson 6 Answer Key
## Engage NY Eureka Math Algebra 2 Module 3 Lesson 6 Answer Key
### Eureka Math Algebra 2 Module 3 Lesson 6 Exercise Answer Key
Exercises 1 – 3:
Exercise 1.
Assume that there is initially 1 cm of water in the tank, and the height of the water doubles every 10 sec... |
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# Basic Concepts Of Trigonometry
Trigonometry is a branch of mathematics. It is a central of mathematics. Trigonometry is all about the relation between the sides and angles of the triangles. The father of the trigonometry is “Hipparchus” introduce first... |
# The Commutative Property
Introducing terms such as the commutative property of arithmetic to kids in basic mathematics is in general the time we start to completely lose and confuse them! This is because we start to use language that they are not familiar with.
If we break these terms down to language they are fam... |
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# Combinations
## Using lists and tree diagrams.
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Practice Combinations
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Define and Apply Combinations
A lottery system consists of 40 balls numbered 1 through 40. In the Big 5, five balls are selected from these 40 balls. You need to m... |
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Students can download Maths Chapter 8 Statistics Ex 8.3 Questions and Answers, Notes, Samacheer Kalvi 9th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.
## Tamilnadu Samacheer Kalvi 9th Maths Solu... |
# lim_(x->0)(1/x^2-1/sin^2x)= ?
Nov 26, 2016
$- \frac{1}{3}$
#### Explanation:
We have
$\frac{1}{x} ^ 2 - \frac{1}{\sin} ^ 2 x = \frac{{\sin}^{2} x - {x}^{2}}{{x}^{2} {\sin}^{2} x} = \frac{{\left(\sin \frac{x}{x}\right)}^{2} - 1}{1 - {\cos}^{2} x} =$
$= \left(\frac{\sin \frac{x}{x} + 1}{1 + \cos x}\right) \left(\... |
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