Find the number of subsets of the set.{1, 2, 3, . . . , 8}

A. 512
B. 252
C. 256
D. 16


Answer: C

Mathematics

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Solve the problem.A projectile is fired straight upward. The function  describes the height of the projectile, f(t), in feet, t seconds after firing. Factor the polynomial  and write the function in factored form. Use the factored form of the function to find f(2).

A. f(t) = -8t(2t - 7); 48 ft B. f(t) = -8t(2t - 7); 80 ft C. f(t) = t(-16t + 56); 48 ft D. f(t) = t(-16t + 56); 80 ft

Mathematics

Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola. -  = 1

A. center: (0, 0)
transverse axis: x = 0
vertices: (0, -9) and (0, 9)  
foci: (-, 0) and (, 0)
asymptotes: y = - x and y = x
B. center: (0, 0)
transverse axis: y = 0
vertices: (-2, 0) and (2, 0)  
foci: (-, 0) and (, 0)
asymptotes: y = - x and y = x
C. center:(0, 0)
transverse axis: y = 0
vertices: (-9, 0) and (9, 0)  
foci: (-, 0) and (, 0)
asymptotes: y = - x and y = x
D. center: (0, 0)
transverse axis: y = 0
vertices: (-9, 0) and (9, 0)  
foci: (-2, 0) and (2, 0)
asymptotes: y = - x and y = x

Mathematics

Solve the problem.A local bank advertises that it pays interest on savings accounts at the rate of 3% compounded monthly. Find the effective rate. Round answer to two decimal places.

A. 36% B. 3.40% C. 3.04% D. 3.44%

Mathematics

Solve the problem.A tree casts a shadow 20 m long. At the same time, the shadow cast by a 68-cm tall statue is 82 cm long. Find the height of the tree. Round results to the nearest unit.

A. 17 m B. 23 m C. 16 m D. 24 m

Mathematics