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By the AM-HM inequality: - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 \[ x^2 + 144 = 169 \]

📌 \[ x^2 = 25 \]

📌 \[ x = 5 \] meters.

📌 A train accelerates from rest at 2 m/s² for 10 seconds. How far does it travel?

📌 Using \( s = ut + \frac{1}{2}at^2 \):

📌 \[ s = 0 + \frac{1}{2} \times 2 \times 10^2 \]

📌 \[ s = \frac{1}{2} \times 2 \times 100 = 100 \] meters.

📌 The sum of an arithmetic series is 210, with 10 terms and first term 5. What is the last term?

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