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Home » \[ (8p + 4q + 2r + s) - (p + q + r + s) = 14 - 3 \] - AMAZONAWS

\[ (8p + 4q + 2r + s) - (p + q + r + s) = 14 - 3 \] - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 \cdot 100 = 0.10 \cdot (100 + x) \implies 15 = 10 + 0.10x \implies 5 = 0.10x \implies x = 50

📌 liters of pure water must be added.

📌 A car accelerates uniformly from rest to 30 m/s in 10 seconds. Determine the distance traveled during this time.

📌 Using \( s = ut + \frac{1}{2}at^2 \), with \( u = 0 \), \( v = at = 30 \), so \( a = 3 \, \text{m/s}^2 \), and \( t = 10 \):

📌 s = 0 + \frac{1}{2}(3)(10)^2 = \frac{1}{2} \cdot 3 \cdot 100 = 150 \, \text{m}

📌 The distance traveled is 150 meters.

📌 A circle has circumference \( 20\pi \) cm. Find the area of a sector with central angle \( 72^\circ \).

📌 First, find radius: \( C = 2\pi r = 20\pi \implies r = 10 \, \text{cm} \).

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