Solve.A rectangular garden has vegetables planted in a 36-ft by 21-ft area. The vegetables are surrounded by a 2-ft border of flowers. By what percent is the area for planting vegetables increased if the 2-ft border of flowers is removed?
A. 32.3%
B. 33.4%
C. 11.5%
D. 12.6%
Answer: A
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Find the nth term of the geometric sequence with the given values.a = -3, r = 2, n = 6
A. 192 B. 384 C. -32 D. -96
Factor the polynomial completely.64x3 + y3
A. (4x + y)(16x2 + y2) B. (64x + y)(x2 - 4xy + y2) C. (4x + y)(16x2 - 4xy + y2) D. (4x - y)(16x2 + 4xy + y2)
Use these sets to find the following. Identify any disjoint sets.Let U = {7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17}, M = {7, 9, 11, 13}, N = {8, 10, 12, 14, 16}, and
(U ? ?) ? R'
A. ?; R' and (U ? ?) are disjoint sets. B. R, or {7, 8, 9, 10} C. U, or {7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17} D. {11, 12, 13, 14, 15, 16, 17}
The demand function for a product is where p is in millions of dollars and x is the number of thousands of units. If the equilibrium price is $6 million, what is the consumer's surplus? Round your answer to the nearest million dollars.
?
A. 114 million dollars B. 149 million dollars C. 83 million dollars D. 88 million dollars E. 174 million dollars