112 Answered Questions for the topic Advanced Math

Advanced Math Discrete Math

04/25/22

Come up with a way to produce the set A⊂ℚ (then B=ℚ∖A) out of the sequence of (rational) numbers {a_n}.
Let {a_n} be a Cauchy sequence. The equivalence class of this sequence is a real number. Construct the Dedekind cut (A|B) which presents this real number.Specifically, you need to come up with a... more
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Advanced Math

03/05/22

Can the sides of a triangle have lengths 2, 14, and 14?
I don't know how to do this.
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09/25/21

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...
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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=
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04/07/21

For the sequence an=an−1+an−2 and a1=4,a2=5,

For the sequence an=an−1+ an−2 and a1 = 4,a2 = 5, What are the terms?1st term: 2nd term: 3rd term:4th term:
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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
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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
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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
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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
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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)=?
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Advanced Math Math 7th Grade

10/07/19

A robot can complete 4 tasks in 7/10 of an hour. each task takes the same amount of time. how many tasks can the robot complete in one hour
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03/18/19

Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds? Explain your reasoning. Note: 1 pound is about 0.45 kilograms.
The answer is watermelon but I don't know how to get it
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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.
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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
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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
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Advanced Math

11/14/18

Marie measured a city and made a scale drawing. The scale she used was 5 inches = 1 yard. What scale factor does the drawing use?
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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?
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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.
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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
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03/30/18

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
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Advanced Math Algebra Quantatative Math

03/30/18

The length of a rectangle is four times its width. If the area of the rectangle is 100 cm2, find its perimeter.
Answer should be in cm
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03/21/18

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
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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
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01/30/18

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
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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
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