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playstation state of play games - Dyverse

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 \( S_{10} = 3(100) + 5(10) = 300 + 50 = 350 \)

📌 \( S_9 = 3(81) + 5(9) = 243 + 45 = 288 \)

📌 \( a_{10} = 350 - 288 = 62 \)

📌 #### 10th term: 62

📌 A ball is thrown upward from a 45-meter tall building with initial velocity 20 m/s. Its height is modeled by \( h(t) = -5t^2 + 20t + 45 \). When does it hit the ground?

📌 Set \( h(t) = 0 \): \( -5t^2 + 20t + 45 = 0 \)

📌 Divide by -5: \( t^2 - 4t - 9 = 0 \)

📌 Use quadratic formula: \( t = \frac{4 \pm \sqrt{16 + 36}}{2} = \frac{4 \pm \sqrt{52}}{2} = \frac{4 \pm 2\sqrt{13}}{2} = 2 \pm \sqrt{13} \)

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