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Broad Topics > Numbers and the Number System > Factors and multiples Common Divisor
Age 14 to 16 Challenge Level:
Find the largest integer which divides ... | HuggingFaceTB/finemath | |
# Jee Advanced Year 2006 Maths Solutions
## Maths Year 2006 Maths Jee Advanced Solutions
Free Jee Advanced video solutions with Jee Advanced 2006 question paper for Maths. Doubtnut provides Jee Advanced solution of 2006 for Maths with Jee Advanced 2006 question paper.
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• 3 M... | HuggingFaceTB/finemath | |
, , 1 Comment Rectangles are mathematical shapes that are formed by joining four straight lines at right angles with one another. It belongs to the family of parallelogram and each of its side is parallel to the other side. A rectangle is one of the very initial shapes that the children learn to recognize when they get... | HuggingFaceTB/finemath | |
MULTIPLY MIXED NUMBERS
CORRECT:
ATTEMPTS:
SCORE:
PERCENT
WHOLE
NUMERATOR
DENOMINATOR
# MULTIPLY MIXED FRACTIONS INSTRUCTIONS
The following image was made from
Multiply Fractions-Strict is similar to the previous program MULTIPLY FRACTIONS except that both factors may be mixed numbers and the product must be written ... | HuggingFaceTB/finemath | |
# SML310 Mini-Project 3: Statistical Inference and Multi-Level Models
### Overview
For this mini-project, we are concerned with statistical inference and generative models. You will be “generating” fake data – i.e., writing functions that use random-number generators to create a new dataset. If you are using R, you m... | HuggingFaceTB/finemath | |
# Solving Linear ODE using Python
## Better Code
Even now, we are inputting the transformed equation instead of giving the differential equation itself. I played around a bit to fix this. If laplace_transform cannot handle derivatives, let’s take things to our own hands:
The added function dLaplace finds the Laplace... | HuggingFaceTB/finemath | |
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Post subject: Re: GL Assessment VR - where it is won and lostPosted: Sun Apr 29, 2018 9:21 am
Joined: Wed Jan 11, 2006 7:10 pm
Posts: 9180
Loca... | HuggingFaceTB/finemath | |
#### FP10.1: Demonstrate understanding of factors of whole numbers by determining the: prime factors, greatest common factor, least common multiple, principal square root, and cube root.
FP10.1.a: Develop, generalize, explain, and apply strategies for determining the greatest common factors or least common multiples.
... | HuggingFaceTB/finemath | |
# What is the least amount of time by which you can toast all the three breads you have?
+1 vote
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It takes ten minutes to toast a bread (five minutes for each side).
You are toasting the bread in a pan that can accommodate only two breads at one time.
What is the least amount of time by which you can toast ... | HuggingFaceTB/finemath | |
# symmetric closure of a relation
0. Finally, the concepts of reflexive, symmetric and transitive closure are The reflexive, transitive closure of a relation R is the smallest relation that contains R and that is both reflexive and transitive. Reflexive and symmetric properties are sets of reflexive and symmetric bina... | HuggingFaceTB/finemath | |
Umattinog768
2023-03-25
What is the square root of 3 divided by 2 .
paumEFupbom2lda
The solution will be $\sqrt{\frac{3}{2}}=\sqrt{\frac{6}{4}}=\sqrt{\frac{6}{{2}^{2}}}=\frac{\sqrt{6}}{\sqrt{{2}^{2}}}=\frac{\sqrt{6}}{2}$ and answer $\sqrt{\frac{3}{2}}=\frac{\sqrt{6}}{2}\approx 1.2247$ | HuggingFaceTB/finemath | |
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# TUGAS KHUSUS
TEORITIS
## A. DATA PERHITUNGAN FURNACE
Data diambil pada hari senin,12 Mei 2014
FURNACE
-
=816,2oC = 1501,16 oF
Temperatur stack
= 400oC = 752oF
## Temperatur dinding dalam furnace
= 797.2 oC = 1466,96 oF
= 60 oC = 140 oF
CRUDE OIL
-
= 0,8430 kg/m3
## Temperatur cr... | HuggingFaceTB/finemath | |
# 54.19 kg to lbs - 54.19 kilograms to pounds
Before we go to the more practical part - this is 54.19 kg how much lbs calculation - we are going to tell you a little bit of theoretical information about these two units - kilograms and pounds. So let’s move on.
How to convert 54.19 kg to lbs? 54.19 kilograms it is equ... | HuggingFaceTB/finemath | |
# how to calculate the check digit (EAN-13) barcode symbologies ?
• 08-05-2009, 09:15 AM
hwkong1688
how to calculate the check digit (EAN-13) barcode symbologies ?
Hi all friends,
(1 textbox and 1 command button)
pls help me write the code in VB6 into command button click event, when i click the command button the b... | HuggingFaceTB/finemath | |
# Problem: A uniform stationary ladder of length L = 3.7 m and mass M = 19 kg leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is μ = 0.44. The ladder makes an angle θ = 56° with respect to the floor. A painter of m... | HuggingFaceTB/finemath | |
## Time value of money Cheat Sheet by NatalieMoore Cheatography
Future Value of Annuity Due (Formula) Calculation with. Three approaches exist to calculate the present or future value of an annuity amount, known as a time-value-of-money calculation. You can use a formula and either a regular or financial calculator to... | HuggingFaceTB/finemath | |
0
0
0
1
# Recommendation System Challenge
## Introduction
Recommender systems have been playing a pivotal role in various business settings like e-commerce sites, social media platforms, and other platforms involving user interaction with other users or products. Recommender systems provide valuable insights to g... | open-web-math/open-web-math | |
## Note on Parallelogram
• Note
• Things to remember
• Videos
• Exercise
• Quiz
A quadrilateral having opposite sides parallel is called the parallelogram.
In a parallelogram,
1. Opposite sides are equal.
2. Opposite angles are equal.
3. Diagonals bisect each other.
4. Area = base $$\times$$ height = b $$\times$$ h
... | HuggingFaceTB/finemath | |
## Tuesday, October 3, 2017
### a Truchet puzzle mystery
I thought it would be fun to create a page of Truchet puzzles, and while doing this I noticed something that surprised me: even though they were randomly generated, all puzzles of the same size had the exact same level of complexity.
a single puzzle piece
that... | HuggingFaceTB/finemath | |
IIT-JEE
Apne doubts clear karein ab Whatsapp (600 300 8001) par bhi. Try it now.
Click Question to Get Free Answers
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Question From class 10 Chapter PROBABILITY
One card is drawn from a well-shuffled deck of 52 cards. Find the the probability of drawing <br> (i) an ac... | HuggingFaceTB/finemath | |
# calculate angle of rectangle where most upper corner is in vertical line with lowest
I'm developing a website. For design I need to calculate the angle of a rectangle which is needed to get the top left corner in a vertical line with the bottom right one.
Example: I've a square/rectangle with the dimensions 10×10 c... | HuggingFaceTB/finemath | |
The OEIS is supported by the many generous donors to the OEIS Foundation.
Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discove... | HuggingFaceTB/finemath | |
Short Circuit Capacity: Basic Calculations and Transformer Sizing
Copyright © 2001 Francis J. Martino Short circuit capacity calculation is used for many applications: sizing of transformers, selecting the interrupting capacity ratings of circuit breakers and fuses, determining if a line reactor is required for use wi... | HuggingFaceTB/finemath | |
# 算法题：使用Map查找链表中的循环长度
2021年4月14日14:27:52 发表评论 534 次浏览
## 本文概述
1. 遍历链表的每个节点, 并保持位置从一个开始。在每个节点之后增加位置。
2. 检查Map中是否存在该节点。
3. 如果Map不包含该节点的地址, 则将其及其位置插入Map。
4. 如果Map已经包含该节点的地址, 则返回其位置之间的差。
5. 如果找不到这样的节点, 则返回0。
## C ++
``````//C++ program to find length of loop
//in a linked list using Map
#include <bits/stdc++.h>
using... | HuggingFaceTB/finemath | |
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# Transformation of Exponential Functions
Sep 15, 2022
## Key Concepts
• Move the graph of an exponential function vertically.
• Explain about the horizontal translation of an exponential graph.
• Compare two different transformations of f(x)=2
### Transformation of Exponentia... | HuggingFaceTB/finemath | |
# Percentage
Fullscreen Mode ## Percentage
We have a pizza for 4 people. How much percent of pizza each people can get? The answer is 25%, but how do we calculate percentages? Let’s learn now.
Percentage is a way of representing a number as a fraction of 100. It is used to express a part of a whole in terms of a per... | HuggingFaceTB/finemath | |
Arithmetic Derivative
Get Arithmetic Derivative essential facts below. View Videos or join the Arithmetic Derivative discussion. Add Arithmetic Derivative to your PopFlock.com topic list for future reference or share this resource on social media.
Arithmetic Derivative
In number theory, the Lagarias arithmetic derivat... | HuggingFaceTB/finemath | |
# What Is Denser, Vinegar Or Water?
The studying aim of this module is to provide an explanation for the awareness of solutions to a particular problem or software program in the maximum appropriate manner.
There are many one-of-a-kind processes to quantitatively describe the eye of a solution. For instance, molarity... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
What is the LCM of 54 and 42?
The lcm of 54 and 42 is 378.
Steps to find LCM
1. Find the prime factorization of 54
54 = 2 × 3 × 3 × 3
2. Find the prime factorization of 42
42 = 2 × 3 × 7
3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to fi... | HuggingFaceTB/finemath | |
# Advanced Work Rate GMAT Problem
#### Work Rate Problem Introduction &Challenges
Hi guys! Today we’re going to look at a super challenging work rate problem. This is one of those keystone problems, where if you have this problem really, really down then it indicates that you won’t have a problem with any work rate p... | HuggingFaceTB/finemath | |
# Multiple Bets: Parlays, Teasers & More
Did you know that you can wager on more than one game and one outcome at the same time? All you have to do is add more than one wager to your bet slip. Suddenly, at the bottom, you’ll see a variety of different options to place bets. Below, in our multiple bets guide, we go thr... | HuggingFaceTB/finemath | |
frac{1}{2 - \sqrt{3}} = ? * \sqrt{3} - 2 * 2 + \sqrt{3} * : Quant Question Archive [LOCKED]
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 07 Dec 2016, 12:13
# Chicago-Booth
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced... | HuggingFaceTB/finemath | |
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Start learning today, and be successful in your academic & professional career. Start Today!
Charlotte Vilkus
Geometric Terms and Notation
Slide Duration:
Section 1: Basic Math
Signed Numbers
18m 58s
Intro
0:00
The Basics: Signed Numbers
0:13
How to Think of Negative Numbers
0:39
Signed Numbers on the Number Li... | HuggingFaceTB/finemath | |
# How to Create a Nested Formula with IF and AND Functions in Excel
Get FREE Advanced Excel Exercises with Solutions!
Human being likes to get everything with less effort or without effort. We prefer shortcuts in almost every aspect of our life. It would be much preferable for us to do a calculation in a single compl... | HuggingFaceTB/finemath | |
# Why do we say the upper limit is the variable?
## Main Question or Discussion Point
While doing work, I always see notation like:
F(x) = ∫0xf(t)dt - first equation
F(x) = ∫1xf(t)dt
What is the exact reasoning we always use the upper limit? What is the lower limit was a variable? From FTC 2, the answer for the fi... | HuggingFaceTB/finemath | |
##### Simplify the rational expression.
label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5
Simplify the rational expression.
2x - 16 / 2x + 8
a. x + 4 / x - 8
b. x - 8 / x + 4
c. x - 8 / 2x + 8
d. 2 ( x + 8 / x - 4 )
Apr 30th, 2015
Explanation; 2x-16/2x +8. Factor num... | HuggingFaceTB/finemath | |
# college algebra
1. divide and simplify x^2+x-56/x^1-1 / x-7/2x+2
2. find the product in simplest from for x^2+x-6/2x^2-x-3 * x^7-2x^6+4x^5/x^4+8x
3. perform the indicated operations and simplify: 2/3x +4/3x^2 y^4 -6/2x^4 y^5
4. perform the indicated operation and simplify x/x-1 + 2x+3/x^2-1
5. build the fraction 3+x... | HuggingFaceTB/finemath | |
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A165331 Number of iterations until a fixed point or cycle is reached when repeatedly replacing a number with the sum of the cubes of its digits. 6
0, 0, 7, 3, 4, 6, 10, 6, 6, 4, 1, 8, 5,... | HuggingFaceTB/finemath | |
## My research and investigations
### The Proof Path
When doing a math proof, it’s like walking along the math landscape: your proof is a path (a logical path) from the hypotheses (starting point) to the conclusion (finishing point).
The HOL theorem-prover provides an interactive proof manager. When it shows “all go... | HuggingFaceTB/finemath | |
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IMO Result Declared Check here | IMO Level 2 Exam Timing & Guidelines Check here | Register for Maths, Science, English, GK Olympiad Exam Click here | Check Olympiad Exam Dates here | Buy Practice Papers for IMO, IOM, HEO, IOEL etc here | Login here to participa... | HuggingFaceTB/finemath | |
# 47. Quadratic Equations Solutions Part 1
1. For roots to be equal the discriminant has to be zero.
$$D = 4(1 + 3m)^2 - 4(1 + m)(1 + 8m) = 0$$
$$\Rightarrow 4(1 + 9m^2 + 6m - 1 - 9m -8m^2) = 0$$
$$\Rightarrow m^2 - 3m = 0 \therefore m = 0, 3$$
2. Discriminant of the equation is:
$$D = (c + a - b)^2 - 4(b + c - ... | open-web-math/open-web-math | |
New SAT Math Workbook
# Wwwpetersonscom geometry 13 5 a rectangular box with a
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Unformatted text preview: + 6 x=8 + =1 Multiply by 6x. 2 x + 12 = 6 x 12 = 4 x x=3 Therefore, Miriam... | HuggingFaceTB/finemath | |
# (12, 18)
A = 12
B = 18
Sum 30 Difference 6 A × B 216 A ÷ B 0.666667 B ÷ A 1.5 GCD 6 LCM 36 Average 15
## Combination
18564
${}_{ 18 } C_{ 12 } = 18564$
## Sum of squares
468
$12^2 + 18^2 = 468$
## Norm
$\sqrt{ 12^2 + 18^2 } = 21.633307652783937$
## Geometric mean
14.696938456699069
No
## Stirling numb... | HuggingFaceTB/finemath | |
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# L01_a - Oscillations Review(Chapter 12 Oscillations motions...
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Oscillations: Review (Chapter 12) Oscillations: motions that are periodic in time (i.e. repetitive) o Swinging object (pendulum) o Vib... | HuggingFaceTB/finemath | |
# Proof of a convergence of sets in the context of Finite Perimeter sets
Let $$E \subset \mathbb{R}^n$$ be a set of finite perimeter that satisfies $$\mathcal{L}^n (E) < \infty$$. Assume that $$E$$ is symmetric with respect to the hyperplane $$\{x_n = 0\}$$. We know that there exists a sequence $$(E_h)_h$$ of bounded ... | open-web-math/open-web-math | |
How Many Teaspoons is 5ml? – 5 ml is equal to 1.01 teaspoons. 5 ml to tsp converter to calculate how many teaspoons is 5ml. To convert 5 ml to tsp, simply divide 5 ml by 4.929 to get teaspoons.
Likewise, Is 5 mg the same as 5 mL?
In respect to this, is 5ml the same as 5mg? mL is a measurement of volume, while mg is a... | HuggingFaceTB/finemath | |
# Polynomial recursion from sequence recursion
Let $P(n,d)$ denote the number of partitions of $n$ with Durfee square of size $d$ (the largest square that fits inside the diagram of the partition).
The sequence $P(n,d)$ is known to satisfy the recursion
$P(n,d) = 2P(n-d,d) + P(n-2d+1,d-1) - P(n-2d,d)$.
How does one... | HuggingFaceTB/finemath | |
# What is a correlation coefficient? ###### What Is a Correlation Coefficient?
A correlation coefficient is a number that measures the strength and direction of the linear relationship between two variables. 📈📉
Think of it like a music producer 🎧 adjusting the volume on two different tracks. The correlation coeffi... | HuggingFaceTB/finemath | |
# How do you graph f(x)=-x^3+3x using zeros and end behavior?
Aug 28, 2017
$\text{see explanation}$
#### Explanation:
$\text{to obtain zeros solve } f \left(x\right) = 0$
$\Rightarrow - {x}^{3} + 3 x = 0$
$\Rightarrow x \left(3 - {x}^{2}\right) = 0$
$\Rightarrow x = 0 , x = \pm \sqrt{3} \text{ are the zeroes}$
... | HuggingFaceTB/finemath | |
What Is The P Value For T Statistic
What is t statistic p-value?
In this way, T and P are inextricably linked. Consider them simply different ways to quantify the "extremeness" of your results under the null hypothesis. The larger the absolute value of the t-value, the smaller the p-value, and the greater the evidenc... | HuggingFaceTB/finemath | |
# Uber Interview Questions – Deepest Node In a Tree
Tree problem is also one of the most commonly asked coding interview questions. Some people might be afraid of tree at first. However, most tree problems in coding interviews are quite straightforward given that there are not too many operations.
As a result, if you... | HuggingFaceTB/finemath | |
# a + b + c
In the triangle ABC , If ( a + b + c )(a + b - c) = k ab
Prove that : k $$\in \left( 0,2 \right) \quad ,\quad then\quad find\quad m\quad \left( \angle c \right) \quad when\quad k=1\quad$$
Note by Rawan Medhat
2 years, 6 months ago
MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bo... | HuggingFaceTB/finemath | |
# Conversion of Decimal into Binary
The conversion of a number in a binary system to decimal can be termed binary to decimal. The system of numbers is used to represent a format of numbers. Binary numbers are the numbers that are generally used in the process of coding, used in the system of computers to represent a s... | HuggingFaceTB/finemath | |
# The voters in a round table
There are $n$ MPs seated around a circular table, prepared to cast their votes on a single yes-or-no question.
The voting goes by rounds. Each voter raises his hand for 'yes' and keeps it down for 'no'. If a voter's neighbors both vote the same way in one round, he will vote that way in ... | HuggingFaceTB/finemath | |
# Microeconomics chapter 6
Total word count: 1173
Pages: 4
### Calculate the Price
- -
275 words
Looking for Expert Opinion?
Let us have a look at your work and suggest how to improve it!
The price elasticity of supply is equal to the percentage change in quantity supplied divided by the percentage change in price.... | HuggingFaceTB/finemath | |
# Find the lowest floor from which Venus eggs break [duplicate]
Venus gave you two eggs because she wants to test their strength.
She lives in a 100 floor building and she wants to find the first floor above which the eggs break when thrown out of the window.
More formally, there exist exactly one so-called critical... | HuggingFaceTB/finemath | |
# Connection between $$E_{cell}$$, ∆G, and K
Learning Objectives
The connection between cell potential, Gibbs energy and constant equilibrium are directly related in the following multi-part equation:
$\Delta G^o= -RT\ln K_{eq} = -nFE^o_{cell}$
## ∆G: Gibbs Energy
∆G is the change of Gibbs (free) energy for a syst... | open-web-math/open-web-math | |
# Rectangle
The rectangle has a perimeter 75 cm. Diagonal length is 32.5 cm. Determine the length of the sides.
Result
a = 32.038 cm
b = 5.462 cm
#### Solution: Checkout calculation with our calculator of quadratic equations. Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...... | HuggingFaceTB/finemath | |
If v* = (1/v), find the value ofv* + (v*)* + ...
If v* = (1/v), find the value of
v* + (v*)* + ((v*)*)* if v = 1/2.
• a)
3
• b)
7/2
• c)
4
• d)
9/2
• e)
5
If v* = (1/v), find the value ofv* + (v*)* + ((v*)*)* if v = 1/2.a)3b)...
Step 1: Question statement and Inferences
A function has been defined called v* such that v... | HuggingFaceTB/finemath | |
# CHAPTER 10: LINEAR KINEMATICS OF HUMAN MOVEMENT
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## Transcription
1 CHAPTER 10: LINEAR KINEMATICS OF HUMAN MOVEMENT 1. Vector mechanics apply to which of the following? A. displacement B. velocity C. speed... | HuggingFaceTB/finemath | |
University of Southern California
ITS Information Technology Services
Using Mathematica for UNIX
Documentation and Help
There is a man page available for Mathematica. To read the manual page type:
`man math`
Mathematica does not provide help within the math command. There is a command called mathbook which will a... | HuggingFaceTB/finemath | |
# Front End Estimation
There are many ways to estimate an answer. One method is called "Front End Estimation."
The name comes from the way that you round. Instead of rounding each number to a given place value, we round whatever number is in the front.
Take a look at an example:
Use front end estimation to determin... | HuggingFaceTB/finemath | |
# Technical Papers
## Signals and communication Homework 2(8 problems)
Given the analog signal, sampled at the rate of 8000Hz (𝑡) = 3 𝑐𝑜𝑠( 2𝜋 × 1500𝑡) + 2 𝑐𝑜𝑠( 2𝜋 × 4200𝑡) t ≥ 0 Sketch the spectrum of the sampled signal up to 20 KHz Unsampled signal spectrum is; X(jw) —————————–(3/2)————————————- —————————... | HuggingFaceTB/finemath | |
## Search This Blog
### Number Sequence Puzzle
Number Sequence Puzzle
Fill in the blanks:
3 3 5 4 4 ? 5
1. 3 3 5 4 4 4 5 --- 3 is repeated 2(3-1) times. 4 is repeated (4-1)3 times... 5 is just a seperator here.
2. the answer will be three. With short sequences its easy to justify a lot of answers by convoluted met... | HuggingFaceTB/finemath | |
# Number 75015
### Properties of number 75015
Cross Sum:
Factorization:
3 * 3 * 5 * 1667
Divisors:
1, 3, 5, 9, 15, 45, 1667, 5001, 8335, 15003, 25005, 75015
Count of divisors:
Sum of divisors:
Prime number?
No
Fibonacci number?
No
Bell Number?
No
Catalan Number?
No
Base 2 (Binary):
Base 3 (Ternary):
Base 4 (Quaternar... | HuggingFaceTB/finemath | |
# CBSEtips.in
## Wednesday, 24 February 2021
### CBSE Class 8 Maths - MCQ and Online Tests - Unit 15 - Introduction to Graphs
#### CBSE Class 8 Maths – MCQ and Online Tests – Unit 15 – Introduction to Graphs
Every year CBSE students attend Annual Assessment exams for 6,7,8,9,11th standards. These exams are very co... | HuggingFaceTB/finemath | |
# If selling price is doubled, the profit triples. Find the profit percent ?
## Question
### If selling price is doubled, the profit triples. Find the profit percent ?
`A. 400%`
`B. 300%`
`C. 200%`
`D. 100%`
#### Answer: D. 100%
Solution:
Let the cost price be Rs.100 and selling price be Rs.x, Then
The profit i... | HuggingFaceTB/finemath | |
Cody
# Problems
1 – 18 of 18
Problem Title Likes Solvers Difficulty
#### Problem 45178. An n-sided regular polygon is drawn within a circle whose radius is 'r', what will be the area of the polygon?
Created by: Asif Newaz
Tags polygon, circle
0
20
#### Problem 45195. Calculate the area of a circle
Created by:... | HuggingFaceTB/finemath | |
# Differential fields and rings
If one is to compute the derivative of
$$y=3x+2$$ by $$\frac{\mathrm{d}(3x+2)}{\mathrm{d} x}$$ Would I be working with differential fields? Since differential fields is a first-order theory, but $y$ is a function of $x$ so the derivative function $d$ is a function that takes functions ... | HuggingFaceTB/finemath | |
OpenStudy (anonymous):
help me find the area?
5 years ago
OpenStudy (anonymous):
114in^2 57 in^2 812 in ^2 957 in^2
5 years ago
OpenStudy (anonymous):
@jim_thompson5910
5 years ago
OpenStudy (anonymous):
does anyone know how to do this?
5 years ago
OpenStudy (anonymous):
what does theta mean?
5 years ago
Open... | HuggingFaceTB/finemath | |
3 Tutor System
Starting just at 265/hour
# In the figure, altitudes AD and CE of $$\triangle$$ ABC intersect each other at the point P. Show that: (i) $$\triangle$$ AEP ~ $$\triangle$$ CDP (ii) $$\triangle$$ ABD ~ $$\triangle$$ CBE (iii) $$\triangle$$ AEP ~ $$\triangle$$ ADB (iv) $$\triangle$$ PDC ~ $$\triangle$$ BEC.... | HuggingFaceTB/finemath | |
While the farmer has begun to learn more about SI units, he is as yet uncomfortable with their use and decides that his only viable option is to construct a pool in the form of an equilateral triangle with sides 77 ft in length, since any other variation would either be too large or small. The farmer must now determine... | HuggingFaceTB/finemath | |
1. ## Trigonometric equations
Solve for x
1. $\displaystyle sin3x= \frac{3}{4}$
2. $\displaystyle 4sinx.cosx.cos2x=1$
3. $\displaystyle -cos4x=2$
4. $\displaystyle cos(x+\frac{pi}{18})=\frac{2}{5}$
2. For the second one, you need to know one identity in particular.
$\displaystyle sin(2A) = 2sinAcosA$
[4sin(x)cos(x)... | HuggingFaceTB/finemath | |
# Thread: I am not sure if this is calculus or not
1. ## I am not sure if this is calculus or not
I have to come up with a way to plug in a number (in this case measured in Kilowatts, but that is less important) and calculate how many hours it would take before we run out of fuel. Here is the information I have avail... | HuggingFaceTB/finemath | |
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## Note on radon and iradon transforms and Matlab's iradon on the all-at-once call vs. the one-at-time call
July 17, 2008 page compiled on June 30, 2015 at 11:43pm
This note was motivated by a strange result found when using Matlab iradon.
In matlab, when using iradon to obtain a backprojection image from a... | HuggingFaceTB/finemath | |
# In algorithms for matrix multiplication (eg Strassen), why do we say n is equal to the number of rows and not the number of elements in both matrices?
In Strassen's algorithm, we calculate the time complexity based on n being the number of rows of the square matrix. Why don't we take n to be the total number of entr... | HuggingFaceTB/finemath | |
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### Gram-Schmidt Orthogonalization
Recall from the end of §5.10 above that an orthonormal set of vectors is a set of unit-length vectors that are mutually orthogonal. In other words, an orthonormal vector set is just an orthogon... | HuggingFaceTB/finemath | |
Maximum/Maximal set
Maximum or maximal set with property $P$
When I was reading some textbooks, I noticed that I do not get the meaning of the following two phrases.
($P1$) $\quad$ maximum set with property $P$
($P2$) $\quad$ maximal set with property $P$
In this regard, I have the following two questions.
($Q1$)... | HuggingFaceTB/finemath | |
# 764 weeks in seconds
## Conversion
764 weeks is equivalent to 462067200 seconds.
## Conversion formula How to convert 764 weeks to seconds?
We know (by definition) that: $1\mathrm{wk}=604800\mathrm{sec}$
We can set up a proportion to solve for the number of seconds.
$1 wk 764 wk = 604800 sec x sec$
Now... | HuggingFaceTB/finemath | |
# Posts by Priya
Total # Posts: 273
math
The difference between the simple interest and compound interest on a certain sum for 2 years at the rate of 5% per annum is rupees 205.find the sum.
math
The ranch is 80 meter wide so 80 meter is its breadth and it is 450 meter long so its length is 450 meter Area of rectang... | HuggingFaceTB/finemath | |
# What is the B-field on the axis of a finite Iron-Core Solenoid, a Given Distance Beyond The Tip?
I am building a solenoid electromagnet with a core of known permeability $\mu$. The core needs to stick out slightly beyond the ends of the coils. Let's assume that the magnet is oriented with its core axis aligned to th... | HuggingFaceTB/finemath | |
# How much material will be left if a radioactive isotope has a half life of 1.3 billion years in 3.9 billion years?
##### 1 Answer
Jul 3, 2014
Half-life (t½) is the amount of time required for a quantity to fall to half its value as measured at the beginning of the time period. In this question (t½) is 1.3 billion y... | HuggingFaceTB/finemath | |
This site is supported by donations to The OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A130650 a(n) = smallest k such that A014612(n+1) = A014612(n) + (A014612(n) mod k), or 0 if no such k exists. 7
0, 0, 4, 13, 2, 13, 18, 4, 43, 8, 3, 41, 4, 4, 3, 13, 2, 37, 16, 43, 97, 4, ... | HuggingFaceTB/finemath | |
0
# Is the absolute value of the opposite of 7 the same as the opposite of the absolute value 7?
Updated: 9/20/2023
Wiki User
12y ago
No. The absolute value of the opposite of 7 is 7, but the opposite of the absolute value of seven is -7.
Wiki User
12y ago
Earn +20 pts
Q: Is the absolute value of the opposite o... | HuggingFaceTB/finemath | |
## Encyclopedia > Force (physics)
Article Content
# Force
Redirected from Force (physics)
In physics, a net force acting on a body causes that body to accelerate (i.e. to change its velocity vector). The SI unit used to measure force is the newton.
Statics Where the sum of the forces acting on a body in static equ... | HuggingFaceTB/finemath | |
# Find the slope of the line through each pair of points.
## Presentation on theme: "Find the slope of the line through each pair of points."— Presentation transcript:
Find the slope of the line through each pair of points.
Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, ... | HuggingFaceTB/finemath | |
# Martin puts two bowls of fruit out for his friends.The bowl of grapes has 9 green grapes and 16 red grapes. The bowl of tangerines has 7 seeded and 3 seedless tangerines.
The latter school question and answer asked over students to indicate what they ponder is the main important concern for a student to do in order ... | HuggingFaceTB/finemath | |
Find the exact value of cos 12°
# Find the exact value of cos 12°
Finding the value of \sin 12° could be achieved by looking up trigonometric table or simply calculating using various calculator. An approximate decimal value is given since the exact value of \cos 12° is an irrational number.
## Approximate value o... | HuggingFaceTB/finemath | |
# Damped Sine Wave: Definition, Example, Formula
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A damped sine wave is a smooth, periodic oscillation with an amplitude that approaches zero as time goes to infinity. In other words, the wave gets flatter as the x-values get larger.
Damped sine waves are often used to model engineering situations where a ha... | HuggingFaceTB/finemath | |
### Home > CALC > Chapter 9 > Lesson 9.4.2 > Problem9-122
9-122.
Use the graph of $f^\prime(x)$ below to answer the following questions.
1. At what $x$-value(s) does $f(x)$ have a relative minimum?
This occurs when $f(x)$ changes from negative to positive.
2. Where does $f(x)$ have a point of inflection?
This occ... | HuggingFaceTB/finemath | |
# Check if number is palindrome or not in base B
• Last Updated : 17 Mar, 2021
Given an integer N, the task is to check if Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. To complete your prepa... | HuggingFaceTB/finemath | |
# Find Minimum Depth of a Binary Tree
• Difficulty Level : Easy
• Last Updated : 02 Dec, 2021
Given a binary tree, find its minimum depth. The minimum depth is the number of nodes along the shortest path from the root node down to the nearest leaf node.
For example, minimum height of below Binary Tree is 2.
Note th... | HuggingFaceTB/finemath | |
Lemma 10.157.1. Let $k \subset K$ be a finitely generated field extension. The following are equivalent
1. $K$ is a finite separable field extension of $k$,
2. $\Omega _{K/k} = 0$,
3. $K$ is formally unramified over $k$,
4. $K$ is unramified over $k$,
5. $K$ is formally étale over $k$,
6. $K$ is étale over $k$.
... | open-web-math/open-web-math | |
# Overview of Relational Algebra
--- Relational algebra is a fundamental concept in the field of database management systems. It serves as the foundation for designing, querying, and manipulating relational databases. Understanding relational algebra is crucial for anyone aiming to work with databases, whether as a de... | HuggingFaceTB/finemath | |
44 Views
The angle made by the vector $\sqrt{3} \hat{i}+\hat{j}$ with $x$-axis is
(a) $30^{\circ}$
(b) $45^{\circ}$
(c) $60^{\circ}$
(d) $90^{\circ}$
in Physics | 44 Views
The correct option of this question will be (a).
Solution —
Let $\theta$ be the angle made by $\sqrt{3} \hat{i}+\hat{j}$ with $x$-axis.
If... | HuggingFaceTB/finemath | |
# GSEB Solutions Class 12 Maths Chapter 6 Application of Derivatives Ex 6.2
Gujarat Board GSEB Textbook Solutions Class 12 Maths Chapter 6 Application of Derivatives Ex 6.2 Textbook Questions and Answers.
## Gujarat Board Textbook Solutions Class 12 Maths Chapter 6 Application of Derivatives Ex 6.2 Question 1.
Show t... | HuggingFaceTB/finemath | |
Mathematics 76 Online
Andrew4289:
im helpin my lil bro with math and im to high and tired if one of yall can help it would very nice <3 . .Megan wants to know the percentage of students in her class of 35 who are lefthanded. She took three random samples of 7 students each and asked each student, “Are you left or righ... | HuggingFaceTB/finemath | |
# Universal gravitation
• ookt2c
In summary, a synchronous satellite is put in orbit around Jupiter to study the famous red spot. The satellite must have an altitude that allows it to remain above the same point on Jupiter's equator, and the force of gravity must be equal to the centripetal force.
## Homework Stateme... | HuggingFaceTB/finemath | |
It is currently 17 Oct 2017, 21:20
### GMAT Club Daily Prep
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we will pick new questions that match your level based o... | HuggingFaceTB/finemath | |
# Bretschneider's Formula
## Theorem
Let $ABCD$ be a general quadrilateral.
Then the area $\AA$ of $ABCD$ is given by:
$\AA = \sqrt {\paren {s - a} \paren {s - b} \paren {s - c} \paren {s - d} - a b c d \map {\cos^2} {\dfrac {\alpha + \gamma} 2} }$
where:
$a, b, c, d$ are the lengths of the sides of the quadrilat... | HuggingFaceTB/finemath |
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