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easiest cocktails with vodka - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 P(t) = P_0 \cdot 2^{t/k}

📌 This expression arises because the publications double every \(k\) years, implying that after \(k\) years, the count is \(2P_0\), after \(2k\) years, it is \(2^2 P_0\), and so on. Thus, the general formula for the number of publications at any time \(t\) is:

📌 To find \(P(2k)\), substitute \(t = 2k\) into the formula:

📌 P(2k) = P_0 \cdot 2^{2k/k} = P_0 \cdot 2^2 = 4P_0

📌 Thus, the number of publications after \(2k\) years is:

📌 \boxed{4P_0}

📌 Question:** A deep sea microbiologist is studying the population growth of a chemosynthetic bacterium. The population \(P(t)\) at time \(t\) (in hours) follows the logistic growth model:

📌 P(t) = \frac{1000}{1 + 9e^{-0.5t}}

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