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Irina18 [472]
3 years ago
13

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

ncreased to 570. (a) Find an expression for the number of bacteria after t hours. P(t)
Biology
1 answer:
Naddika [18.5K]3 years ago
5 0

Answer:

p(t)=100e^ln5.7t

Explanation:

The growth rate of bacteria is directly proportional to its size and shows the exponential growth. The initial bacteria amount is 100 and later increased to 570.

The number of bacteria after t hours is

p(t)=100e^kt where k is the relative growth rate. and t is the time.

Here p (t) = 570 and t = 1 hour, then K =

 420=100e^k(1)  

K = ln(5.7)

Put the value of K in original equation then,

p(t)=100e^ln(5.7)t

Thus, the expression for the number of bacteria after t hours is p(t)=100e^ln(5.7)t .

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Answer:

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Explanation:

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Explanation:

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Jobisdone [24]

Answer:

I am so sorry if this is too late but your answer is in the explanation.

Explanation:

Weakness and nausea are the responses of vomiting and fever. Because people tend to feel weak and uneasy after vomiting. Body temperature also increases resulting headache and body cramp.

       The stimulus that causes he response is coldness and weakness. And the purpose of the response of a fever is that it raises the body temperatures so that the bacteria and germs that causes the fever get kill or destroy that are sensitive to temperature changes.

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