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Home » So, the 5th term is \( a_5 = 2 \cdot 3^4 = 2 \cdot 81 = 162 \). - Groen Casting

So, the 5th term is \( a_5 = 2 \cdot 3^4 = 2 \cdot 81 = 162 \). - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Probability of first red card: \(\frac{26}{52} = \frac{1}{2}\).

📌 Probability of second red card: \(\frac{25}{51}\).

📌 Combined probability: \(\frac{1}{2} \times \frac{25}{51} = \frac{25}{102}\).

📌 #### \(\frac{25}{102}\)

📌 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, \(a = -2\), \(b = 12\).

📌 \(x = -\frac{12}{2(-2)} = 3\).

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