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

03/05/22

#### Can the sides of a triangle have lengths 2, 14, and 14?

I don't know how to do this.

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...

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=

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:

02/27/21

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

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

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

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

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

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

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?

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

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