A certain strain of bacteria divides every three hours. If a colony is started with 50 bacteria, then the time t (in hours) required for the colony to grow to N bacteria is given by . Find the time required for the colony to grow to five million bacteria.

(a) 458.61 hr
(b) 49.83 hr
(c) 45.86 hr
(d) 35.86 hr
(e) none of these


(b) 49.83 hr

Mathematics

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Find the indicated quantities for the appropriate geometric sequence.The sum of the first three terms of a geometric sequence equals thirty-one times the first term. Find the common ratio.

A. -6, 5 B. -5, 6 C. -6, -5 D. 5, 6

Mathematics

Identify the standard form of the argument.p ? q? q

A. Fallacy of the Converse B. Law of Syllogism C. Disjunctive Syllogism D. Fallacy of the Inverse

Mathematics

Find the probability.Suppose we select, without looking, one marble from a bag containing 8 red marbles, 3 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue?

A. 0
B. 9
C.
D.

Mathematics

Provide an appropriate response.Let f(x) = x3 - x and g(x) = 2x2 + 9x. Find (f - g)(-2)

A. 20 B. -36 C. 4 D. 0

Mathematics