59,606 Answered Questions for the topic Math

Math

04/16/24

A die is rolled 12 times. Find the probability of rolling exactly 1 five
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04/16/24

Application of Antiderivatives in PVA (position, velocity, acceleration)
A child throws a ball straight up. If the ball is to reach a height of 9.8m, what is the minimum initial velocity that must be imparted to the ball? Assume the initial height of the ball is 1m.... more
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Math

04/15/24

Z score tables with percentage of people above a number
The results of a certain medical test are normally distributed with a mean of 130and a standard deviation of 14.​(A reading above 118is considered​ unhealthy). Use the given table to find the... more
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04/15/24

Given the vector u → = 〈 - 5 , - 1 〉 , find the magnitude and angle in which the vector points (measured counterclockwise from the positive x-axis, 0 ≤ θ < 2 π
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Math

04/15/24

How to get the velocity and the displacement from acceleration
Suppose that a particle moves along a straight line with acceleration defined by a(t) = t − 3, where 0 ≤ t ≤ 6 (in meters per second per second). Find the velocity (in meters per second) and... more
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Math Physics

04/15/24

Please assist with Vector addition using Graphical and Analytical methods - Horizontal Force Board
After doing an experiment on vector addition using a Horizontal force board (Gravesand Apparatus), with the need to use graphical and analytical methods of vector addition. For the Horizontal force... more
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Math Physics

04/15/24

Vector addition using Vertical force board
After doing an experiment on vector addition using a Vertical force board (Gravesand Apparatus), with the need to use graphical and analytical methods of vector addition. For the Vertical force... more
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04/15/24

Please need assistance with Vector Addition using Graphical and Analytical methods
After doing an experiment on vector addition using a Horizontal force board (Gravesand Apparatus), with the need to use graphical and analytical methods of vector addition. For the Horizontal force... more
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04/15/24

Need help with Vector addition using a Graphical and analytical methods?
After doing an experiment on vector addition using a Horizontal force board (Gravesand Apparatus), with the need to use graphical and analytical methods of vector addition. For the Horizontal force... more
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Math

04/15/24

Do you know what is the answer?
Miko has three pieces of string with lengths of 140 cm, 168 cm and 210 cm.She wants to cut all three pieces of string into smaller pieces of equal length such that there is no leftover string.(a)... more
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Math

04/15/24

Do you know what is the answer?
Miko has three pieces of string with lengths of 140 cm, 168 cm and 210 cm.She wants to cut all three pieces of string into smaller pieces of equal length such that there is no leftover string.(a)... more
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Math Algebra 1

04/15/24

What is equation for translated 1 unit right and 5 units down?
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04/15/24

Doppler-effect problem
Please help.I found this interesting problem on the internet, but I don't know how to start it:These are the questions:At what frequency do astronauts hear the hum?What frequency should the radio... more
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Math

04/14/24

Please help with this problem
The point (19,4) is on the graph of y=f(x) a) A point on the graph of y=g(x), where g(x)=f(x−1) is      b) A point on the graph of y=g(x) , where g(x)=f(x)−4 is      c) A point on the... more
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Math

04/14/24

Please I need some help
Given that f(x)=−3x^2+2x and g(x)=2x−1, determine each of the following. Make sure to fully simplify your answer.(a) (f∘g)(x)=   (b) (g∘f)(x)=   (c) (f∘f)(x)=   (d) (g∘g)(x)= 
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Math

04/14/24

Can some please help with this one
Find two nontrivial functions f(x) and g(x) so f(g(x))=(−5−7x)^3=f(x) =   g(x) =   
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04/14/24

Linear Algebra Differential Equations
Consider the following differential systemy′1 = y1 − 3y2 + 4y3 − 5y4 + y5y′2 = −y1 + 2y2 + y4y′3 = y2 + y3 + y4 − y5y′4 = y1 − 4y2 + 4y3 − 3y4 − y5y'5 = −3y2 + 4y3 − 5y4 +... more
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04/14/24

Linear Algebra Diagonalization & Probability

There are 3 telecommunication service providers in a certain country, namely telco A,B, and C. Every year,• about 4% of the subscribers of telco A will change to telco B, and 4% of subscribersof... more
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04/14/24

Linear Algebra Orthonormal Sets
Let a1 = (0 1 -1 0 1), a2 = (-1 0 1 -1 1), a3 = (1 1 1 1 0), a4 = (1 1 1 -1 0)(a) Find an orthonormal set {q1, q2, q3, q4} such that span{a1,...,ai} = span{q1,...,qi} for i = 1, 2, 3, 4. Give exact... more
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Math

04/14/24

Can some please help me hear
Consider the functions f(x)=−4x+9 and g(x)=√−x . Determine each of the following. f∘g(x)=  Give the domain of f∘g(x).    g∘f(x)=   Give the domain of g∘f(x).  
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04/14/24

Math/pre-calc Decay Rate Question
Radioactive substance: Polonium Decay Rate, k: ___% per minute Half life, T: 44.6 Minutes
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04/14/24

Math/Pre-calc, Doubling Time Question
Complete the following table. Population Growth​ Rate, k Doubling​ Time, T Country A 1.61.6​% x Country B x 3232
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04/14/24

Math, Pre-calculus
In​ 2012, the population of a city was 5.27 million. The exponential growth rate was 1.95% per year.​a) Find the exponential growth function.​b) Estimate the population of the city in 2018.​c) When... more
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04/14/24

Simplification of unity cube root
If given that ω is a cube root of unity and using the properties ω, how can I simplify (1 + 2ω + 3ω2)(3 + 2ω + ω2)?
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04/14/24

Finding the roots of a given equation
How can I show that the three roots of the equation z3 = 1 are:ω = (-1+ i√(3))/2,ω2 = (-1- i√(3))/2ω3 = 1
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