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# PRACTICE QUESTIONS FOR CLASS 9 MATH
Problem 1 :
Solve the given equation below x + 2 log27 9 = 0
(A) -4/3 (B) 1/2 (C) 2/5
Problem 2 :
In the given, ∠A = 64° , ∠ABC = 58°. If BO and CO are the bisectors of ∠ABC and ∠ACB respectively of ΔABC, find x° and y°
(A) 58, 122 (B) 114, 25 (C) 110,... | HuggingFaceTB/finemath | |
hw2-sol
# hw2-sol - AMS 311(Fall 2009 Joe Mitchell PROBABILITY THEORY...
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AMS 311 (Fall, 2009) Joe Mitchell PROBABILITY THEORY Homework Set # 2 – Solution Notes (1). (12 points) Suppose that two fair dice have been tossed and the total of their top faces... | HuggingFaceTB/finemath | |
Conversion formula
The conversion factor from pounds to kilograms is 0.45359237, which means that 1 pound is equal to 0.45359237 kilograms:
1 lb = 0.45359237 kg
To convert 135 pounds into kilograms we have to multiply 135 by the conversion factor in order to get the mass amount from pounds to kilograms. We can also ... | HuggingFaceTB/finemath | |
# Mathematics Questions and Answers – Calculus Application – Motion Under Gravity
«
»
This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Calculus Application – Motion Under Gravity”.
1. A particle is projected vertically upwards with a velocity of 196 m/sec. What will the time of rise?
a)... | HuggingFaceTB/finemath | |
# Active particles as mobile microelectrodes for selective bacteria electroporation and transport
## Abstract
Self-propelling micromotors are emerging as a promising micro- and nanoscale tool for single-cell analysis. We have recently shown that the field gradients necessary to manipulate matter via dielectrophoresis... | open-web-math/open-web-math | |
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!
#### Online Quiz (WorksheetABCD)
Questions Per Quiz = 2 4 6 8 10
### Grade 3 - Mathematics2.7 Division Rules for 0 and 1
Rules for 0: : Zero divided by any number (except 0) equals zero. 0 ÷ 8 = 0, 0 ÷ 5 = 0 We cannot... | HuggingFaceTB/finemath | |
# How much foam is required to fully absorb the impact of dropping a barbell?
I’m working on a project for my home gym. I want to be able to drop a loaded barbell without bothering my downstairs neighbors. My main approach is to use 2 blocks of dense foam on which to drop the barbell (when loaded with weights, barbell... | HuggingFaceTB/finemath | |
# Square Root of a Perfect Square by Using the Long Division Method
To find the square root of a perfect square by using the long division method is easy when the numbers are very large since, the method of finding their square roots by factorization becomes lengthy and difficult.
### Steps of Long Division Method fo... | HuggingFaceTB/finemath | |
#### Provide Solution For R.D.Sharma Maths Class 12 Chapter 18 Indefinite Integrals Exercise Revision Exercise Question 37 Maths Textbook Solution.
$\frac{\cos ^{5} x}{5}-\frac{\cos ^{7} x}{7}+C$
Given:
$\int \sin ^{3} x \cos ^{4} x d x$
Hint:
To solve the statement we will convert cos into sin and use some form... | HuggingFaceTB/finemath | |
# & dding ubtracting ractions.
## Presentation on theme: "& dding ubtracting ractions."— Presentation transcript:
& dding ubtracting ractions
Adding & Subtracting Fractions Teacher Notes:
Use this presentation to teach the steps for adding and subtracting fractions with unlike denominators. It is assumed that studen... | HuggingFaceTB/finemath | |
A Direct Digital Synthesizer with Arbitrary Modulus
Suppose you have a system with a 10 MHz sample clock, and you want to generate a sampled sinewave at any frequency below 5 MHz on 500 kHz spacing; i.e., 0.5, 1.0, 1.5, … MHz. In other words, f = k*fs/20, where k is an integer and fs is sample frequency. This articl... | HuggingFaceTB/finemath | |
# No, You Can’t Say What 6/2(1+2) Equals
I am made aware that a section of Twitter argues about how to evaluate an expression. There may be more than one of these going around, but the expression I’ve seen is:
$6 \div 2\left(1 + 2\right) =$
Many people feel that the challenge is knowing the order of operations. This... | HuggingFaceTB/finemath | |
## DEV Community
Dave Saunders
Posted on • Updated on • Originally published at baseclass.io
# What is Dynamic Programming?
(If you like this, you'll also like the BaseClass newsletter!)
## What is it, and why should I care?
Dynamic programming is the process of breaking down a larger problem into smaller problem... | HuggingFaceTB/finemath | |
# Mastering Chemical Kinetics | A Comprehensive Guide to Integrated Rate Laws and Reaction Dynamics
December 21, 2023
Integrated rate laws are essential tools in chemical kinetics, offering a quantitative lens to view how reactant concentrations change over time. These laws vary with the reaction order:
• Zeroth Rat... | HuggingFaceTB/finemath | |
# algebra
How much water must be added to 60 liters of 60 percent alcohol mixture to reduce it to a mixture of 50 percent alcohol concentration? What if 30 percent alcohol mixture is added instead of water?
1. 0
2. 0
3. 5
1. This is very similar to the other question you asked, where I've put up a solution.
Give thi... | HuggingFaceTB/finemath | |
# Bakery Algorithm in Process Synchronization
The Bakery algorithm is one of the simplest known solutions to the mutual exclusion problem for the general case of N process. Bakery Algorithm is a critical section solution for N processes. The algorithm preserves the first come first serve property.
• Before entering i... | HuggingFaceTB/finemath | |
1. ## Differentiation: Tangents and Normals help please
I have looked through loads of various notes and stuff and I'm sure I'm doing nothing wrong but my textbook keeps telling me I'm wrong.
Can someone help me with these two questions, very clearly showing ALL working please?
1) Find the equation of the tangent to... | HuggingFaceTB/finemath | |
636222 (number)
636,222 (six hundred thirty-six thousand two hundred twenty-two) is an even six-digits composite number following 636221 and preceding 636223. In scientific notation, it is written as 6.36222 × 105. The sum of its digits is 21. It has a total of 4 prime factors and 16 positive divisors. There are 209,8... | HuggingFaceTB/finemath | |
You are Here: Home >< Physics
# Trampoline Oscillation watch
1. A student is bouncing on a trampoline. At her highest point, her feet are 95 cm above the trampoline. When she lands, the trampoline sags 15 cm before propelling her back up.
How long is she in contact with the trampoline?
Angular frequency (omega)=2pi... | HuggingFaceTB/finemath | |
+0
# algebra question
0
36
1
Consider the polynomial
(x^2 - 47x + 1)(x^2 - 47x + 2)(x^2 - 47x + 3) ... (x^2 - 47x + 999)
What is the product of the real roots of this polynomial? I don't know what to do here.
Dec 30, 2020
#1
+60
+1
First, notice that the quadratics in the expression only have real roots when i... | HuggingFaceTB/finemath | |
# Average value
## Homework Statement
find the average value of cos^2(x) [0,(pi/4)]
## Homework Equations
I don't think i'm doing it correctly I know the formula,(I won't put my attempt because I don't have math symbols on my computer) but I get 1 as the answer every time which doesn't seem correct
## The Attempt ... | HuggingFaceTB/finemath | |
# What is the answer to the square root of 50 + square root of 8 - square root of 18?
Jul 30, 2015
=color(green)(4sqrt2
#### Explanation:
Prime factorising each of the numbers in order to simplify the terms:
$\sqrt{50} = \sqrt{5 \cdot 5 \cdot 2} = 5 \sqrt{2}$
$\sqrt{8} = \sqrt{2 \cdot 2 \cdot 2} = 2 \sqrt{2}$
$\... | HuggingFaceTB/finemath | |
# Thread: characteristic function of triangular distribution
1. ## characteristic function of triangular distribution
Suppose I have:
$\displaystyle f(x)=(1-|x|)1_{(-1,1)}(x)$
I want to show that its characteristic function is:
$\displaystyle \varphi (u)= 2(1-cosu)/u^2$
I let
$\displaystyle E(e^{iux})=\int_{-1}^... | HuggingFaceTB/finemath | |
Where does COST fit in, was COMM: Where does MPI fit in?
J
Jeffrey D. Brandt
Donald Pittendrigh wrote:
>
>I am having some real problems coming to grips
>with the real issue of this MPI thread and
>would appreciate it if some one could explain
>what the real issue is here
>
<snip>
>
>Maybe I am missing something, if... | open-web-math/open-web-math | |
Enzo and beatriz are playing games at their local arcade. incredibly, enzo wins 5 tickets from every
Enzo and beatriz are playing games at their local arcade.
incredibly, enzo wins 5 tickets from every game, and beatriz wins 11 tickets from every game. when they stopped playing games, enzo and beatriz had won the same... | HuggingFaceTB/finemath | |
# Derivative of a definite integral
• I
• Ahmed Mehedi
In summary: This will also serve the purpose I guess. But, both of the approaches have one serious flaw. In the first line we are assuming equality between two integrals. While in the third line we are deriving the equality between the two integrands of the 1st li... | HuggingFaceTB/finemath | |
# Five Guys How Much
Posted on
If you are looking for the answer of five guys how much, you’ve got the right page. We have approximately 10 FAQ regarding five guys how much. Read it below.
## Help me po guys at pakikita po paano nyo nakuha
Ask: Help me po guys at pakikita po paano nyo nakuha yung answer pls
1. if 5... | HuggingFaceTB/finemath | |
# [FAQ] Why am I getting negative A.I.C. scores?
#### TheEcologist
##### Global Moderator
Why am I getting negative A.I.C. scores?
It is correct that negative A.I.C. sent up red flags for you as it may tell you that something went wrong in your analysis - as logically log-likelihoods (or AICs) cant really be negativ... | HuggingFaceTB/finemath | |
# Kg/H To Kw Calculator
Mass Flow Rate (kg/h):
Specific Heat (kJ/kg·K):
Temperature Change (K):
Power Output (kW):
The Kg/H to kW Calculator is a valuable tool for converting the mass flow rate of a substance, given in kilograms per hour (kg/h), to the power output in kilowatts (kW). This conversion is essential i... | HuggingFaceTB/finemath | |
What is the composition of relations like this? With no transitive relations between them?
Given
$R_1 = \{(1,2),(5,3)\}\quad\quad R_2 = \{(6,4),(5,7)\}$
What is $R_2 \circ R_1$?
Because in my understanding, using the example
$R_3 = \{(1,2),(3,4)\} \quad\quad R_4 = \{ (2,5),(6,7)\}$
Then $R_4\circ R_3 = \{(1,5)\}.... | HuggingFaceTB/finemath | |
x/x^2lnx
• Jan 22nd 2013, 03:21 AM
Boo
x/x^2lnx
All!
Please, how do I get f'(x) and f''(x) if I have f(x)=x/(x^lnx)?
Many thanks!
• Jan 22nd 2013, 05:49 AM
topsquark
Re: x/x^2lnx
Quote:
Originally Posted by Boo
All!
Please, how do I get f'(x) and f''(x) if I have f(x)=x/(x^lnx)?
Many thanks!
Which do you have? $\d... | HuggingFaceTB/finemath | |
Toggle Accessibility Tools
# 7-6 What Do You Expect? - Concepts and Explanations
## Probability
A number from 0 to 1 that describes the likelihood that an event will occur.
### Example
If a bag contains a red marble, a white marble, and a blue marble, then the probability of drawing a red marble is 1 out of 3 or 1... | HuggingFaceTB/finemath | |
# Higher Unit 2 Outcome 2 What is Integration
## Presentation on theme: "Higher Unit 2 Outcome 2 What is Integration"— Presentation transcript:
Higher Unit 2 Outcome 2 What is Integration
The Process of Integration ( Type 1 ) Area under a curve ( Type 2 ) Area under a curve above and below x-axis ( Type 3) Area betwe... | HuggingFaceTB/finemath | |
# How do I do a power analysis?
## How do I do a power analysis?
5 Steps for Calculating Sample SizeSpecify a hypothesis test. Specify the significance level of the test. Specify the smallest effect size that is of scientific interest. Estimate the values of other parameters necessary to compute the power function. S... | HuggingFaceTB/finemath | |
TESTING INFINTE SERIES FOR CONVERGENCE-2
.
With both the basic and limit comparison tests, we chose , a series we compare with -- the one we're testing. The basic test sometimes fails because we're unable to specify that the terms of are always less/greater than or equal to the terms in .That's when we use the limit ... | HuggingFaceTB/finemath | |
# Applied algebra
ED was out of town tasking Mike and myself with assuring that the boys got to where they needed to get. Ever organized, ED had made plans for her friend and my sister to transport the boys with us as backup. To no one’s surprise, glitches appeared in the schedule. The movement of people in and out of... | HuggingFaceTB/finemath | |
1. ## Abstract Algebra
A little help needed. Prove: C(bab^-1)=bC(a)b^-1. I know that the centralizer states that every element a commutes with a. so can i say by definition of a centralizer b and its inverse doesnt commute therefore the right side is true? Thanks!!!
2. I didn't quite understand what you meant, but yo... | HuggingFaceTB/finemath | |
BrainDen.com - Brain Teasers
# bonanova
Moderator
6972
66
## Posts posted by bonanova
1. ### Pair of Aces
Matt the mathematician overheard the two boys talkin' and
pushed Alex a little farther: "But what if you could continue
cuttin' the deck until the cards were all gone? Do you know
what yer odds would be t... | HuggingFaceTB/finemath | |
1. ## Logarithm bases
Im very confused with problem and i hope you can help me.
How to calculate the nth term of the fallowing sequences, giving the answer in the form p/q, where p, q ∈ Z
log_{1/5}(125) , log_{1/125}(125) , log_{1/625}(125)
log_{4}(64) , log_{8}(x) , log_{32}(64)
Also describe how to obtain the th... | HuggingFaceTB/finemath | |
English | Español
# Try our Free Online Math Solver!
Online Math Solver
Depdendent Variable
Number of equations to solve: 23456789
Equ. #1:
Equ. #2:
Equ. #3:
Equ. #4:
Equ. #5:
Equ. #6:
Equ. #7:
Equ. #8:
Equ. #9:
Solve for:
Dependent Variable
Number of inequalities to solve: 23456789
Ineq. #... | HuggingFaceTB/finemath | |
# How to find the steady state solution
consider and determine the steady state solution of the differential equation below.
dy/dx = y(y-1)(y+1)
We can separate the variables, break the integrand into partial fractions, and integrate the fractions easily.
Solving gives y = the square root of 1 / (1 - e^(2t)).
as t... | HuggingFaceTB/finemath | |
The Closure of a Set in a Topological Space
The Closure of a Set in a Topological Space
Recall from the Accumulation Points of a Set in a Topological Space that if $(X, \tau)$ is a topological space and $A \subseteq X$ then a point $x \in X$ is called an accumulation point of $A$ if every open neighbourhood $U$ ($U \... | HuggingFaceTB/finemath | |
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Tutorial 3 - Linear Function
# Tutorial 3 - Linear Function
Ratings: (0)|Views: 11|Likes:
### Availability:
See more
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08/16/2014
pdf
t... | HuggingFaceTB/finemath | |
### Which of the following metric spaces are complete? (NBHM 2006)
Which of the following metric spaces is complete?
1. $X_1=(0,1), d(x,y)=|\tan x-\tan y|$
2. $X_2=[0,1], d(x,y)=\frac{|x-y|}{1+|x-y|}$
3. $X_3=\mathbb{Q}, d(x,y)=1\forall x\neq y$
4. $X_4=\mathbb{R}, d(x,y)=|e^x-e^y|$
Solution :
1. (not complete) ... | HuggingFaceTB/finemath | |
## 182518
182,518 (one hundred eighty-two thousand five hundred eighteen) is an even six-digits composite number following 182517 and preceding 182519. In scientific notation, it is written as 1.82518 × 105. The sum of its digits is 25. It has a total of 3 prime factors and 8 positive divisors. There are 78,216 positi... | HuggingFaceTB/finemath | |
# pascal triangle logic
Legal. Approach #1: nCr formula ie- n!/(n-r)!r! Properties of Pascalâs Triangle: The sum of all the elements of a row is twice the sum of all the elements of its preceding row. This triangle named after the French mathematician Blaise Pascal. Subscribe : http://bit.ly/XvMMy1Website : http://w... | HuggingFaceTB/finemath | |
## 3x+5=x+9 is- =-..
Question
3x+5=x+9 is….
………………
in progress 0
7 months 2021-10-07T21:58:42+00:00 2 Answers 0 views 0
Step-by-step explanation:
Simplifying
3x + -5 = x + -9
Reorder the terms:
-5 + 3x = x + -9
Reorder the terms:
-5 + 3x = -9 + x
Solving
-5 + 3x = -9 + x
Solving for variable ‘x’.
Move a... | HuggingFaceTB/finemath | |
# How do you find equilibrium constant for a reversable reaction?
Mar 17, 2014
(a) Write the equilibrium expression for the reaction.
(b) Determine the molar concentrations or partial pressures of each species involved.
(c) Substitute into the equilibrium expression and solve for K.
1.Calculate the value of the equi... | HuggingFaceTB/finemath | |
MATHEMATICS SCHOOL
MATH WORKSHEETS, TESTS, QUIZZES, FLASH CARDS, etc.
# 1 grade worksheets: number 3, digit 3, addition and subtraction 3
## First grade math worksheets: number and digit 3, subtraction and addition of 3
### 1. Numbers 1 to 10. Addition and subtraction 3.
1.1. Count the numbers of objects and solve ... | HuggingFaceTB/finemath | |
# Area Problem #34
What fraction is shaded?
## 5 thoughts on “Area Problem #34”
1. Halil Akansel says:
%50
• Halil Akansel says:
3/8
2. Phil Lawroski says:
3/8
3. Phil Lawroski says:
3/8 – The hexagon is composed of 6 equilateral triangles with sides of 1. The bottom of the shaded area is an equilateral trian... | HuggingFaceTB/finemath | |
# Decimals - Hundredths
Home > By Subject > Place Value > With Decimals - Hundredths
1 whole unit can be split into 100 equal parts. Each part is one hundredth
Or we can show the same thing this way:
One (1) whole unit Split into ten equal parts (tenths) Each tenth split into ten equal parts Each part is one hundr... | HuggingFaceTB/finemath | |
# How do you find the slope of the line x + y = 7?
Aug 21, 2015
$m = - 1$
#### Explanation:
You can easily find the slope of any line by rewriting its equation in sloper-intercept form, which for a general line looks line this
$\textcolor{b l u e}{y = m x + b} \text{ }$, with
$m$ - the slope of the line;
$b$ - th... | HuggingFaceTB/finemath | |
# The Fundamental Group of the Circle, Part 1
Welcome to part one of a six-part series where we prove that the fundamental group of the circle $\pi_1(S^1)$ is isomorphic to $\mathbb{Z}$. This proof follows that from Hatcher's Algebraic Topology section 1.1, and so I will assume the reader knows the definition of a hom... | HuggingFaceTB/finemath | |
# Math
posted by Ramin
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 25 feet high?
Recall that the volume of a r... | HuggingFaceTB/finemath | |
maths revision
```PART ONE
Reference
Quick
Mathematics
Important points and formulas
Third Edition (May 2009)
Content
No.
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Topic / sub topic
Natural numbers
Whole Numbers
Integers
Ratio... | HuggingFaceTB/finemath | |
Q. 1 B5.0( 5 Votes )
# Who is telling the truth?a. The temperature of a substance is measured in Joules.b. Heat flows from an object at a higher temperature to an object at a lower temperature.c. Joule is the unit of heat.d. Objects contract on heating.e. Atoms of solid are freef. The average kinetic energy of atoms i... | HuggingFaceTB/finemath | |
# Is this series interesting?
• I
Jehannum
While working on a probability problem I accidentally found this relationship:
$$\frac a b = \frac a {(b-1)} - \frac a {{(b-1)}^2} + \frac a {{(b-1)}^3} - \frac a {{(b-1)}^4} + ~...$$
I have done a bit of work on it myself, and have tried to research similar series. It seems... | HuggingFaceTB/finemath | |
posted by on .
hi i need help differentiating these..
1. y = cos(3x^2 + 2x)
2. y = ln(3x^2 + 5)
thank you
• Calculus grade 12 - ,
use the old chain rule:
y = cos(u)
y' = -sin(u) u' = -sin(3x^2+2x)(6x+2)
y = ln(u)
y' = 1/u u' = 1/(3x^2+5) * 6x = 6x/(3x^2+5) | HuggingFaceTB/finemath | |
# Reduction Formula for Primitive of a x + b over Power of Quadratic
## Theorem
Let $n \in \Z_{\ge 2}$.
Let:
$\map {I_n} {a, b} := \ds \int \dfrac {a x + b} {\paren {x^2 + A x + B}^n} \rd x$
Then:
$\map {I_n} {a, b} = \dfrac {b A - 2 a B + \paren {2 b - a A} x} {\paren {n - 1} \paren {4 B - A^2} \paren {x^2 + A x... | HuggingFaceTB/finemath | |
A New Stellar Companion to GJ 1292
Abstract
I present the discovery of a new stellar companion to GJ 1292 detected with the NN-EXPLORE Exoplanet and Stellar Speckle Imager at the 3.5 m WIYN Telescope. The companion was detected at an angular separation of 0.″1244, a position angle of 44°, and a delta magnitude of 0.97... | open-web-math/open-web-math | |
# Math
posted by .
x^3 + 8x^2 = 20x
How do I find the root of ^ that equation?
2x^2-10x+12 = 0
^ I found that one by...
2(x-3)(x-2)
x-3 = 0
x = 3
x-2 = 0
x =2
^ Is that the correct way to solve for that one
• Math -
## Similar Questions
1. ### math,factoring,help
Can someone please show me step by step how t... | HuggingFaceTB/finemath | |
# How to evaluate sums in the form $\sum_{k=-\infty}^\infty e^{-\pi n k^2}$
Online, one may find the values of the following sums: $$\sum_{k=-\infty}^\infty e^{-\pi k^2}=\frac{\pi^{1/4}}{\Gamma(3/4)}$$ $$\sum_{k=-\infty}^\infty e^{-2\pi k^2}=\frac{\pi^{1/4}(6+4\sqrt 2)^{1/4}}{2\Gamma(3/4)}$$ $$\sum_{k=-\infty}^\infty ... | HuggingFaceTB/finemath | |
# Deriving the Lorentz Boost for an Arbitrary Direction
## Homework Statement
So, I'm working through a relativity book and I'm having trouble deriving the Lorentz transformation for an arbitrary direction $$v=(v_{x},v_{y},v_{z})$$:
$$$\begin{pmatrix} {ct}'\\ {x}'\\ {y}'\\ {z}' \end{pmatrix}=\begin{pmatrix} \gamma &... | HuggingFaceTB/finemath | |
TheGuyg7 Posts: 3, Reputation: 1 New Member #1 Jul 2, 2012, 06:45 AM
Fraction question
I understand the rules about adding fractions but I'm trying to visualize it and that's where the confusion sets in.
Say I have 1/4 + 1/4, sure if you follow the rules you end up with 2/4 or 50%, but what if you took the same proble... | HuggingFaceTB/finemath | |
Instagram
Email: enquiry@singaporetuitioncenter.com
Phone: +65 8787 0198
Singapore Tuition Center
Download this Additional Mathematics paper from Chung Cheng High 2020 Prelim Papers and let's figure out another important question. Download latest free test papers for all levels Singapore Mathematics here. This quest... | HuggingFaceTB/finemath | |
# Homomorphisms in Abstract Algebra
How many Homomorphisms are there from S3 to the Klein 4 Group?
I am only thinking of constructing a group table. Can someone explain the problem, this is NOT a homework problem, but for additional practice for final.
-
One of the fundamental isomorphism theorems states that, if $... | open-web-math/open-web-math | |
# math
the first term of the arithmetic sequence is -37 and the second term is-30 what is the smallest positive term of the sequence?
1. 👍 0
2. 👎 0
3. 👁 120
## Similar Questions
1. ### math
Determine whether each sequence is arithmetic or geometric. Find the next three terms. 1. 14, 19, 24, 29, . . . (1 point) ... | HuggingFaceTB/finemath | |
213 views
$A$ owes $B$, $\text₹1120$ payable $2$ years hence and $B$ owes $A$, $\text₹1081.50$ payable $6$ months hence. If they decide to settle their accounts forthwith by payment of ready money and the rate of interest be $6\%$ per annum, then who should pay and how much:
1. $A, \text₹50$
2. $B, \text₹50$
3. $A, \... | HuggingFaceTB/finemath | |
Lemma 27.16.1. Let $X = \mathop{\mathrm{Spec}}(R)$ be an affine scheme. The quasi-coherent sheaf of $\mathcal{O}_ X$-modules $\widetilde M$ is a finite type $\mathcal{O}_ X$-module if and only if $M$ is a finite $R$-module.
Proof. Assume $\widetilde M$ is a finite type $\mathcal{O}_ X$-module. This means there exists... | open-web-math/open-web-math | |
# ST104a Statistics Assignment Exercise 1 – UK.
Subject Code & Title : ST104a Statistics
In this exercise you will practice aspects of data visualisation and descriptive statistics. In statistical analysis, there are usually simply too many numbers to make sense of just by staring at them. Data visualisation and descr... | HuggingFaceTB/finemath | |
# You want to buy t-shirts and shorts. T-Shirts cost \$10 each and shorts cost \$15 each. If
You want to buy t-shirts and shorts. T-Shirts cost \$10 each and shorts cost \$15 each. If you have \$90 to buy a
total of 8 t-shirts and shorts, how many of each can you buy? Let x represent the number of t-shirts
and y repr... | HuggingFaceTB/finemath | |
+0
# What is square root of i?
+20
644
7
+7220
$$\sqrt{i}=\sqrt{\sqrt{-1}}$$
And are there any other ways to present this special number?
I also knows $$\sqrt{i}=(-1)^{\frac{1}{4}}=e^{\frac{i\pi}{4}}$$
Jul 12, 2016
edited by MaxWong Jul 12, 2016
edited by MaxWong Jul 12, 2016
#3
+97561
+35
http://www.wolframa... | HuggingFaceTB/finemath | |
# Video: Stating the System of Inequalities That Describes a Given Situation
A shepherd wants to build a rectangular sheep barn. The length of the barn must be more than 88 m, and its perimeter must be less than 253 m. Derive the system of inequalities that describes the situation, denoting the length of the barn by �... | HuggingFaceTB/finemath | |
# Тус с. Син ПетеORFind the surface area of cube of an edge 8cm.
Тус с. Син Пете
OR
Find the surface area of cube of an edge 8cm.
### 2 thoughts on “Тус с. Син Пете<br />OR<br />Find the surface area of cube of an edge 8cm.”
1. Surface area of cube = 6a^2
Length of side of cube = 8cm
Surface area of cube = 6 (8)^... | HuggingFaceTB/finemath | |
# 0.3 Gravity and mechanical energy (Page 6/9)
Page 6 / 9
$KE=\frac{1}{2}m{v}^{2}$
Consider the $1\phantom{\rule{2pt}{0ex}}\mathrm{kg}$ suitcase on the cupboard that was discussed earlier. When the suitcase falls, it will gain velocity (fall faster), until it reaches the ground with a maximum velocity. The suitcase... | HuggingFaceTB/finemath | |
# Q-Exam
If tg α = 0.9, Calculating sin α, cos α, cotg α .
Result
cotg α = 1.11
sin α = 0.74
cos α = 0.67
#### Solution:
Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):
Be the first to comment!
#### To solve this example are needed these knowledge from mathematics:
M... | HuggingFaceTB/finemath | |
# Thread: How to make a proper guess at a particular solution
1. ## How to make a proper guess at a particular solution
]My question is how do you from a proper guess at the particuliar solution of a differential equation for example.
Say this is the right hand of the equation
$\displaystyle sin(2t)+te^t+4$
I know... | HuggingFaceTB/finemath | |
# In Fourth Grade
• Fourth grade students represented and solved addition and subtraction of fractions with equal denominators, added and subtracted whole numbers and decimals, multiplied and divided with fluency one- and two-step problems, and represented multi-step problems involving the four operations. Students al... | HuggingFaceTB/finemath | |
1. ## Trig Functions
Hi all,
can someone please check to see if i have this questions correct from a worksheet.
simplify the expression:
(cosec x ) / (tanx + cot x)
= (1/sin x)/[(sin x/cosx) + {(1/sinx) / (sin x / cos x)}]
= (1/sinx)/(1/cosx)
if that makes sense.
how do you guys actually make fractions on here?
... | HuggingFaceTB/finemath | |
Stat 160 Practice Midterm Exam Key
The following 5 questions refer to the following situation. We wish to predict the mileage per gallon of automobiles based on the level of octane contained in the gasoline used. The following table gives data on the mileage per gallon obtained by a test automobile when using gasoline... | HuggingFaceTB/finemath | |
# Discrete Probability Distributions
Probability distributions are fundamental tools in statistics and data science, providing a way to model and understand the uncertainty in various phenomena. Discrete probability distributions, such as the binomial and Poisson distributions, deal with outcomes that can be counted a... | HuggingFaceTB/finemath | |
## Algebra 1
$(2w-1)(2w+3)$
Rewrite 4w as -2w + 6w $4w^{2} + 4w - 3 = 4w^{2} - 2w + 6w -3$ Factor out GCF of each pair of terms, which would be $2w(2w-1) + 3(2w-1)$ Now use distributive property = $(2w-1)(2w+3)$ | HuggingFaceTB/finemath | |
So in general, an eigenvalue of a real matrix could be a nonreal complex number. I have searched online and I found two related posts on similar issue, but did not help me in finding a solution. We want our solutions to only have real numbers in them, however since our solutions to systems are of the form, $\vec x = \v... | open-web-math/open-web-math | |
Question
Distance Formula (b) Two vertices of an isosceles triangle are and . Find the third vertex if the length of each of the two equal sides is 3 . 13. (a) Let be a quadrilateral whose vertices are and respectively. Prove that is a parallelogram. Is it a rectangle?
## Filo tutor solutions (1)
Learn from their 1-... | HuggingFaceTB/finemath | |
Solutions by everydaycalculation.com
## Divide 10/2 with 2/60
1st number: 5 0/2, 2nd number: 2/60
10/2 ÷ 2/60 is 150/1.
#### Steps for dividing fractions
1. Find the reciprocal of the divisor
Reciprocal of 2/60: 60/2
2. Now, multiply it with the dividend
So, 10/2 ÷ 2/60 = 10/2 × 60/2
3. = 10 × 60/2 × 2 = 600/4
4. ... | HuggingFaceTB/finemath | |
# Maximum, function with three variables
• Apr 9th 2011, 11:28 PM
Schdero
Maximum, function with three variables
Hi everybody!
I have a function, which encompassed formerly two variables and three constants. I found the maximum of this function. For some analysis I'm doing, I have to make one of the constants a variab... | HuggingFaceTB/finemath | |
# The height of a tent is 9m it's Base diameter is 24m what is slant height. Find the cost of the canvas cloth required if it costs 14 per Sq.m
2
by mdazhar488
2016-01-14T15:00:08+05:30
Diameter = 24 m
Height = 9 m
Slant Height = l
So, l²= r²+h²
l²= 12²+9²
l²= 144+81
l² = 225
l = √225
l = 15
C.S.A of Cone = πrl
=22/7... | HuggingFaceTB/finemath | |
Q. 305.0( 1 Vote )
# Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:A. Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).B. Both Assertion (A) and Reason (R) are true but Reason (... | HuggingFaceTB/finemath | |
# Trigonometry
for most questions arc and sector area are measured in readians (unless specified)
Just remember:
TO CONVERT
divide by (pi) and the multiply by 180
(pi)/4 ------> 45
divide by 180, multiply by (Pi)
60 --------> (Pi)/3
ANGLES TO REMEMBER
DEGREES 0 30 45 60 ... | HuggingFaceTB/finemath | |
# If 15tan^2+4sec^2=23,then find (sec+cosec)^2-sin^2
Sunil Raikwar
9 years ago
15tan^2 x +4(tan^2 x+1)=23
= 19tan^2 x +4 = 23
= 19tan^2 x = 19
= tan^2 x =1
= tanx= 1
therefore
secx=root2
cosecx=root2
sinx=1/root2
(secx+cosecx)^2-sin^2 x =(2root2)^2-1/2=8-1/2=15/2
Paramjeet Singh Khalsa
20 Points
5 years ago
15 tan²∅... | HuggingFaceTB/finemath | |
# During practice, a basketball player hits 70% of his free throws. If he missed 12 free throws, how
many free throws did he attempt during practice?
1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. so 30% of his shots = 12
.3x = 12
x = 12/.3 = 40
he took 40 shots
check:
70% of 40 = 28
so he hit 28 , must have missed 12
1. 👍
2. ... | HuggingFaceTB/finemath | |
## Look And Say, Revisited
### March 28, 2011
We calculated the look and say sequence in a previous exercise, and mentioned there that the sequence has some fascinating mathematical properties. One of them is that, if Ln is the number of digits in the n-th element of the sequence, then $\lim_{n \rightarrow \infty} \f... | HuggingFaceTB/finemath | |
# Video: Understanding Standard Position
Does the ordered pair (ray πΆπ΄, ray πΆπ·) express an angle in standard position?
01:41
### Video Transcript
Does the ordered pair given by the ray joining πΆπ΄ and the ray joining πΆ to π· express an angle in standard position?
We know that for an angle to ... | HuggingFaceTB/finemath | |
# Stanford EE274: Data Compression I 2023 I Lecture 3 - Kraft Inequality, Entropy, Introduction to SCL
()
## Prefix Codes
• Prefix codes simplify the decoding process by ensuring that no code word is a prefix of another code word.
• A good code has the length of the encoding of a symbol roughly equal to the logarith... | HuggingFaceTB/finemath | |
29. RELATIONSHIP OF (C+V) (C-V) MATHEMATICS WITH GRAVITATIONAL FORCE AND CHARGE FORCES (c+v) (c-v) mathematics gives important clues on the existence of a mechanism in nature. This mechanism is called FIELD mechanism. Lets have a look at these two equations. Gosh
where do these come from? What is it g... | HuggingFaceTB/finemath | |
# Rehan Sattar # Data Structures 101: Tree Traversal - BFS
## A simple and visual guide for you to understand Tree Traversal using BFS
Assalam u Alaikum & Hello everyone! 👋
In the previous article, we learned about Tree Traversals and how to traverse a tree using the Depth First Search (DFS) Technique. We also lear... | HuggingFaceTB/finemath | |
# Object Orientation
Here we are going to discuss the concept of lagging and leading scheme on DNA System using four-dimensional space (4D). A mathematical extension of the concept of three-dimensional space (3D) originated by 43 out of 89 objects of bilateral 9 sums.
``````---+-----+-----
1 | {1} |{43}
---+-----+---... | HuggingFaceTB/finemath | |
Select Board & Class
# Board Paper of Class 10 2008 Maths (SET 1) - Solutions
General Instructions:
1. All questions are compulsory.
2. The question paper consists of 30 questions divided into four sections – A, B, C and D. Section A comprises of ten questions of 1 mark each, Section B comprises of five questions of ... | HuggingFaceTB/finemath | |
# Evaluate the sum to infinity
#### anemone
##### MHB POTW Director
Staff member
Evaluate $\dfrac{1}{3^2+1}+\dfrac{1}{4^2+2}+\dfrac{1}{5^2+3}+\cdots$
#### MarkFL
Staff member
My solution:
$$\displaystyle S=\sum_{k=1}^{\infty}\left(\frac{1}{(k+2)^2+k} \right)=\sum_{k=1}^{\infty}\left(\frac{1}{(k+1)(k+4)} \right)$$
... | HuggingFaceTB/finemath | |
# How To Calculate Resistance In A Parallel Circuit Example
By | January 23, 2023
Understanding electrical resistance in a parallel circuit can sometimes feel like a daunting task, but fortunately it isn’t too difficult. Knowing how to calculate resistance in a parallel circuit example is essential for any electrical... | HuggingFaceTB/finemath |
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