109 Answered Questions for the topic Advanced Math

24d

Let f: A→B be a function, and X⊆A.Prove or disprove: f(f^−1(f(X)))=f(X).

More clearly written: Let f: A→B be a function, and X⊆A.Prove or disprove: f(f-1(f(X)))=f(X).I'm not sure where to even begin with this question...

04/07/21

Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.

Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.{ 7/2 , 7/4, 7/8, 7/16, 7/32, ....)assume the first term is a1an=
Advanced Math Trigonometry

02/27/21

The minute hand is 12 feet long. How far does the tip of the minute sweep between 9:00 and 9:50?

This is for trig/advanced math

12/12/20

Solid Mechanics

A steel strip, which has an allowable tensile stress σmax = 165 MPa is rolled up around a spool of radius R. What is the smallest value of R if the strip width b = 10 mm and the strip thickness t =... more
Advanced Math Calculus

11/30/20

Help me with this one.

A cone circumscribes a sphere of radius 5 inches. If another sphere circumscribes this cone, what is the minimum surface area of this sphere circumscribing the cone that has a smaller sphere inside... more
Advanced Math Calculus

05/20/20

The Fundamental Theorem of Calculus

Annual sales (in millions of units) of a certain brand of tablet computers are expected to grow in accordance with the functionf(t) = 0.18t2 + 0.16t + 2.64  (0 ≤ t ≤ 8)Per year, where t is measured... more
Advanced Math Precalculus

10/31/19

Express the function H in the form f(g(x)). Use non-identity functions for f(x) and g(x).

H(x)=|8-x6|f(x)=?g(x)=?

03/18/19

Lin runs 5 laps around a track in 6 minutes. How many laps per minute is that?

Please add an explanation. Minutes per lap is 1.2 minutes.
Advanced Math Math Probability

03/13/19

Probability Distribution and Expected Value of X

The city council consists of 6 Democrats, 5 Republicans, and 2 Independents. A committee of 3 councilpersons is randomly selected (to study solid waste removal in St. Moritz, 6 days, 5 nights, all... more
Advanced Math Math Probability

03/13/19

Find Probability distribution and the expected value

A non-profit organization sells 10,000 raffle tickets at $1 per ticket. There is one grand prize of $3,000, 4 prizes of $500 each and 10 prizes worth $50 each. You buy one of the tickets. Let the... more
Advanced Math

09/10/18

The perimeter of a rectangular window is 24 feet. The width of the window is 4 feet more than the length. What are the dementions of the window?

The perimeter of a rectangular window is 24 feet. The width of the window is 4 feet more than the length. What are the dementions of the window?
Advanced Math

08/16/18

the vertex is (-3,-13) and the y-intercept is -4. what is f(x)?

I am having trouble doing this problem. I’m doing the correct work but seem to be getting the wrong answer every time.

04/27/18

With what frequency does the spring oscillate?

Suppose that a weight on a spring has initial position s(0) and period P. If s(0) = -5 in. and P = 2.5 sec, find afunction s given by s(t) = a cos ωtthat models the displacement of the... more

Solving a decimal word problem using a two-step linear inequality.

Rachel is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.   Company A charges $97 and allows unlimited mileage. Company B has... more

How to prove distinct Fibonacci numbers

8) How to prove that every positive integer can be written as the sum of one or more distinct non-consecutive Fibonacci numbers?9) How to prove that the sum of any set of distinct non-consecutive... more

02/11/18

Show that the set GL(n, R) of invertible n × n real matrices is open in the space of n × n matrices (metric spaces, Real analysis)

Show that the set GL(n, R) of invertible n × n real matrices is open in the space of n × n matrices, with the metric being the Euclidean metric in Rn^2 when a matrix is identified with a long, n2... more

Prove that sup(a, b)=sup[a, b]=b and inf(a, b)=inf[a, b]=a. Is completeness relevant?

Denoting, as usual, by (a, b) an ”open interval”, {x : a<x< b} and by [a, b] the corresponding ”closed interval”, {x : a≤x≤b} of real numbers, prove that sup(a, b)=sup[a, b]=b and inf(a,... more
Advanced Math Math Algebra Algebra Help

12/04/17

Traditional IRA ADVANCED ALGEBRA

Yon made contributions to a Traditional IRA over the course of 35 working years. Her contributions averaged $2,000 annually. Yon was in the 28% tax bracket during her working years. The average... more

11/20/17

A Medicine bottle is 5/12 filled. 75ml is poured out and 1/3 of it remains. What is the total capacity of mixture that was in the bottle when it was full?

Please reply ASAP! For those concerned, this is a Selective High School Trial Test question. 

08/20/17

Differential Equations

Consider the rate of change equation dy/dt = 0.5y(2+y)(y-8) which has been created toprovide predictions about the future population of rabbits over time.   a) For what values of y is y(t)... more

08/20/17

Differential Equations

The letter y appears in two places in the differential equation dy/dt = 0.3y. Is it appropriate tothink of both occurrences of y as function of t? Explain.

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