Solve the problem.The number of bacteria growing in an incubation culture increases with time according to  where t is time in days. Find the number of bacteria when  and .

A. 6900; 172,500
B. 6900; 69,000
C. 6900; 21,562,500
D. 34,500; 172,500


Answer: A

Mathematics

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Determine the probability using a probability tree.A bent coin lands tails up with a probability 0.8. If the coin is flipped three times, determine P(at least one tail appears in the three flips).

A. 0.008 B. 0.992 C. 0.032 D. 0.488

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Solve.A rectangular garden measures 5.8 yd by 24.38 yd. What is its area?

A. 33.64 yd2 B. 282.808 yd2 C. 30.18 yd2 D. 141.404 yd2

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Solve the problem.A person has hired an investment broker to buy stock. The broker has three different stock funds that are of interest, but each is sensitive to a certain economic indicator that is impossible to predict. The indicator will be positive, neutral, or negative. The table below shows the payoffs in thousands of dollars. Find the strategy that the broker should recommend to maximize the expected value of the investment. 

A. Invest in Stock A with probability 0, invest in Stock B with probability 1, and invest in Stock C with probability 0. B. Invest in Stock A with probability 1, invest in Stock B with probability 0, and invest in Stock C with probability 0. C. Invest in Stock A with probability 1/3, invest in Stock B with probability 1/3, and invest in Stock C with probability 1/3. D. Invest in Stock A with probability 5/13, invest in Stock B with probability 0, and invest in Stock C with probability 8/13.

Mathematics

Use the given zero to completely factor P(x) into linear factors.Zero: i; P(x) = 2x5 + 2x4 - 6x3 - 6x2 - 8x - 8

A. (x - 2)(x + 2)(x + 1)(x + (2 + i))(x - (2 - i)) B. (x - 2)(x + 2)(x + 1)(x + i)(x - i) C. (x + 2)(x + 2)(x + 1)(x + i)(x - i) D. (x + 2)(x + 1)(x + (2 + i))(x - (2 - i))

Mathematics