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Home » 10 Hidden Paldean Fates Cards You Need to Collect Today! - Dyverse

10 Hidden Paldean Fates Cards You Need to Collect Today! - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 P(t) = \frac{1000}{1 + 9e^{-0.5t}}

📌 Find the time \(t\) when the population reaches half of its carrying capacity.

📌 Solution:** The carrying capacity \(K\) of the logistic model is the maximum population, which is 1000 in this case. Half of the carrying capacity is \(500\). We set \(P(t) = 500\) and solve for \(t\):

📌 = \frac{1000}{1 + 9e^{-0.5t}}

📌 Multiply both sides by the denominator:

📌 500(1 + 9e^{-0.5t}) = 1000

📌 Divide both sides by 500:

📌 + 9e^{-0.5t} = 2

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\[ c^2 = a^2 + b^2 \]
ここで、\(a = 8\)，\(b = 15\) です。
\[ c^2 = 8^2 + 15^2 = 64 + 225 = 289 \]
したがって、斜辺 \(c\) は：
\[ c = \sqrt{289} = 17 \]
3x - y = 5
まず、2番目の式から \(y\) を求めます：
\[ 3x - y = 5 \implies y = 3x - 5 \]
\(y = 3x - 5\) を1番目の式に代入します：
\[ 2x + 3(3x - 5) = 12 \]

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