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Home » Find the time \(t\) when the population reaches half of its carrying capacity. - Sterling Industries

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

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 点 \((1, 2)\) を通り傾き \(-\frac{1}{2}\) の直線の式は次のとおりです:

📌 y - 2 = -\frac{1}{2}(x - 1)

📌 y - 2 = -\frac{1}{2}x + \frac{1}{2} \implies y = -\frac{1}{2}x + \frac{5}{2}

📌 この直線と \(y = 2x + 3\) の交点を見つけるために、方程式を等しくします:

📌 2x + 3 = -\frac{1}{2}x + \frac{5}{2}

📌 分数をなくすために両辺に 2 を掛けます:

📌 4x + 6 = -x + 5

📌 5x = -1 \implies x = -\frac{1}{5}

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