AT&T; LTE 9:10 PM @ 31%(1} webassign.net 2:34:30 This exercise uses the populati

Question

AT&T; LTE 9:10 PM @ 31%(1} webassign.net 2:34:30 This exercise uses the population growth model. A certain culture of the bacterium Rhodobacter sphaeroides initially has 40 bacteria and is observed to double every 4 hours. (a) Find an exponential modelfor the number of bacteria in the culture after t hours. (b) Estimate the number of bacteria after 17 hours. (Round your answer to the nearest whole number) bacteria (c) After how many hours will the bacteria count reach 1 million? (Round your answer to one decimal place.) hr Find x rounded to one decimal place. Write the first trigonometric function in terms of the second for 0 in the given quadrant. tan(0), cos(0); 8 in Quadrant IV tan(e) Find the angle in degrees, rounded to one decimal.

Explanation / Answer

1) doubling time in 4 hours

n(t) = 40 (2)^t/4

b) bactera after 17 hours

n(t) = 40 (2)^(17/4)

n(t) = 761 bacterias

c) 1000000 = 40 (2)^t/4

1000000/ 40 = 2^t/4

25000 = 2^t/4

ln 25000 = t/4 (ln 2)

t/4 = ln 25000 / ln 2

t = 58.4 hours

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