Write a proportion that models the situation described. Then, solve the proportion for x.If 3.3 ounces of oil are to be added to 23.1 gallons of gasoline, then x ounces of oil should be added to 51.1 gallons of gasoline.

A.  = ; x = 357.7 ounces
B.  = ; x = 7.2 ounces
C.  = ; x = 7.5 ounces
D.  = ; x = 7.3 ounces


Answer: D

Mathematics

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Provide an appropriate response.Graph the function f(x) = |x| + 1 and identify its domain and range.

A. Domain: (-?, ?); range: [-1, ?)

B. Domain: (-?, ?); range: [0, -?)

C. Domain: (-?, ?); range: [1, -?)

D. Domain: (-?, ?); range: [1, ?)

Mathematics

Solve.Find the volume of the solid generated by revolving the region in the first quadrant bounded by the x-axis and the curve y = sin 2x, 0 ? x ?  about the line x = .

A. ?2
B. ?2 - ?
C.
D. ?

Mathematics

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.(logam - logan) + 4logak

A. loga 
B. logamk4n
C. loga 
D. loga

Mathematics

Solve the problem.Alan wants to invest a total of $6000 in mutual funds and a certificate of deposit (CD). He wants to invest no more in mutual funds than half the amount he invests in the CD. His expected return on mutual funds is 9% and on the CD is 4%. How much money should Alan invest in each area in order to have the largest return on his investments? What is his maximum one-year return?

A. Maximum one-year return is $240 when he invests $0 in mutual funds and $6000 in the CD. B. Maximum one-year return is $440 when he invests $4000 in mutual funds and $2000 in the CD. C. Maximum one-year return is $540 when he invests $6000 in mutual funds and $0 in the CD. D. Maximum one-year return is $340 when he invests $2000 in mutual funds and $4000 in the CD.

Mathematics