Every nine hours, the size of a bacterium culture triples. It will take three hours for the culture to grow to have 9,000 bacteria. Assuming the number of bacteria is denoted by Q(t), then Q(t) = Q0e kt for some value Q0 and some number k is true. a) Find out what Q0 and k are. b) How many bacteria are present at the point in time when t = 0? d) After ten hours, how many germs are still present? Do you see how to handle this problem in a "simple" way?

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter26: Customary (english) Units Of Measure
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Every nine hours, the size of a bacterium culture triples. It will take three hours for the culture to grow to have 9,000 bacteria. Assuming the number of bacteria is denoted by Q(t), then Q(t) = Q0e kt for some value Q0 and some number k is true.

  1. a) Find out what Q0 and k are.
  2. b) How many bacteria are present at the point in time when t = 0?
  3. d) After ten hours, how many germs are still present? Do you see how to handle this problem in a "simple" way?
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