Factor the sum or difference of two cubes.x3 - 216
A. (x + 6)(x2 - 6x + 36)
B. (x - 6)(x2 + 36)
C. (x + 216)(x2 - 1)
D. (x - 6)(x2 + 6x + 36)
Answer: D
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Find the probability.A family has five children. The probability of having a girl is 1/2. What is the probability of having 2 girls followed by 3 boys? Round to the nearest ten-thousandth.
A. 0.6252 B. 0.3125 C. 0.0313 D. 0.1875
Perform the indicated operation.2239 + 4774
A. 423 B. 524 C. 7013 D. 503
Solve triangle ABC. If necessary, round the answer to the nearest tenth.
A. C = 45°, a = 6.7 ft, c = 8.2 ft B. C = 50°, a = 8.2 ft, c = 6.7 ft C. C = 50°, a = 6.7 ft, c = 8.2 ft D. C = 55°, a = 8.2 ft, c = 6.7 ft
Solve.A ball is dropped from a height of 25 feet. Each time it strikes the ground, it bounces up to 0.7 of the previous height. The total distance the ball has traveled before the second bounce is feet, and the total distance the ball has traveled before bounce n + 1 is 25 +
feet.Use facts about infinite geometric series to calculate the total distance the ball has traveled by the time it has stopped bouncing.
A. 141 feet
B. 140 feet
C. 144 feet
D. 141 feet