Solve the problem.A piece of rectangular sheet metal is 21 inches wide. It is to be made into a rain gutter by turning up equal edges to form parallel sides. Let x represent the length of each of the parallel sides. For what value of x will the area of the cross section be a maximum (and thus maximize the amount of water that the gutter will hold)? If necessary, round to 2 decimal places.

A. 84 in.
B. 42 in.
C. 5.25 in.
D. 10.5 in.


Answer: C

Mathematics

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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = -2x + 2y

A. Domain: all points in the xy-plane; range: real numbers z ? 0; level curves: lines  c ? 0
B. Domain: all points in the xy-plane; range: real numbers z ? 0 ; level curves: lines  c ? 0
C. Domain: all points in the xy-plane; range: all real numbers; level curves: lines 
D. Domain: all points in the xy-plane; range: all real numbers; level curves: lines  c > 0

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Let U = {q, r, s, t, u, v, w, x, y, z}, A = {q, s, u, w, y}, B = {q, s, y, z}, and C = {v, w, x, y, z}. List the elements in the following set.

A. {t, v, x} B. {r, t, v, x} C. {s, u, w} D. {r, s, t, u, v, w, x, z}

Mathematics

Use a formula from the list provided to find the area of the figure. 

A. 7.9 square yards B. 30.36 square yards C. 15.8 square yards D. 15.18 square yards

Mathematics

Write the number in decimal notation without the use of exponents.5.201 × 10-6

A. -5,201,000 B. 0.0000005201 C. 0.00005201 D. 0.000005201

Mathematics