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Home » But this is not among choices. Let’s compute exactly: - Baxtercollege

But this is not among choices. Let’s compute exactly: - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 So, $ N = 500 \times 2^{12/3} = 500 \times 2^4 = 500 \times 16 = 8000 $.

📌 There are 8000 bacteria after 12 hours.

📌 A seismologist uses AI to predict aftershocks and models the frequency of secondary tremors as inversely proportional to time after the main quake. If there are 48 aftershocks in the first hour, how many are expected in the third hour (assuming proportional decay per hour)?

📌 Since frequency is inversely proportional to time, the number of tremors in hour $ t $ is $ f(t) = \frac{k}{t} $.

📌 But over hour 1: $ f(1) = k/1 = 48 $, so $ k = 48 $.

📌 However, if the model assumes cumulative tremors proportional to $ \sum 1/t $ over discrete hours, then the expected number in hour 3 is proportional to $ 1/3 $.

📌 But if the total tremors up to hour 3 are 48 (integrated), then total = $ k(\frac{1}{1} + \frac{1}{2} + \frac{1}{3}) \approx k(1 + 0.5 + 0.333) = k(1.833) $.

📌 Given 48 in first hour, total up to hour 3 is $ 48 + 24 + 16 + 8 $? Wait — better interpretation: if frequency in hour $ t $ is $ k/t $, and total in hour 1 is $ k/1 = 48 $, so $ k = 48 $.

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