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- The initial number of bacteria present is equal to 270 bacteria.
- The number of bacteria that will be in the petty dish after 12 hours is 167818 bacteria.
<h3>What is an exponential function?</h3>
An exponential function can be defined as a mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:
f(x) = eˣ
<h3>How to calculate the initial number of bacteria?</h3>
B(t) = 150e^0.585t
When t = 1, we have:
B(1) = 150e^0.585(1)
B(1) = 150e^0.585
B(1) = 269.25 ≈ 270 bacteria.
<h3>How many bacteria will be in the petty dish after 12 hours?</h3>
B(12) = 150e^0.585(12)
B(12) = 150e^7.02
B(12) = 167817.99 ≈ 167818 bacteria.
Read more on exponential functions here: brainly.com/question/27866047
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Explanation: Hope this helps
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The answer is:
The dwarves doubt Bilbo's abilities as a burglar because he is a hobbit
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