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Answer :
Final answer:
The population of bacteria will be 640 after 812 minutes.
Explanation:
To find the population of bacteria 812 minutes from now, we need to determine how many times the population will double within that time frame. Since the doubling time is 203 minutes, we can divide 812 by 203 to get the number of doubling cycles. 812 ÷ 203 = 4 doubling cycles.
Each doubling cycle doubles the population, so if we start with 40 bacteria, after 4 doubling cycles, the population will be 40 x 2 x 2 x 2 x 2 = 640 bacteria.
Therefore, the population will be 640 bacteria 812 minutes from now.
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