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Home » The Hidden Guru Star Trek Moment: Nurse Chapel You Haven’t Seen! - 500apps

The Hidden Guru Star Trek Moment: Nurse Chapel You Haven’t Seen! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 A company’s profit \(P(x)\) in thousands of dollars is modeled by \(P(x) = -2x^2 + 12x - 16\), where \(x\) is the number of units sold in hundreds. Find the number of units sold to maximize profit.

📌 The maximum occurs at \(x = -\frac{b}{2a}\).

📌 Here, \(a = -2\), \(b = 12\).

📌 \(x = -\frac{12}{2(-2)} = 3\).

📌 So, 300 units are sold.

📌 A sequence is defined by \(a_1 = 2\) and \(a_{n+1} = 3a_n + 1\). Find \(a_4\).

📌 \(a_2 = 3(2) + 1 = 7\).

📌 \(a_3 = 3(7) + 1 = 22\).

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