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Home » D: $\sin 65^\circ - \sin 15^\circ$ - Feedz API

D: $\sin 65^\circ - \sin 15^\circ$ - Feedz API

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 Total trip time: 0.6 + 0.9 + 0.5 = <<0.6+0.9+0.5=2.0>>2.0 seconds

📌 Distance traveled: 1.5 m/s × 2.0 s = <<1.5*2=3.0>>3.0 meters

📌 An experimental chemist is testing a battery material that loses 2% of its charge capacity each time it is charged. If it starts at 1000 mAh, after how many full charge cycles will its capacity drop below 700 mAh?

📌 Capacity after n cycles: 1000 × (0.98)^n

📌 Solve: 1000 × (0.98)^n < 700 → (0.98)^n < 0.7

📌 Take log: n × log(0.98) < log(0.7) → n > log(0.7)/log(0.98) ≈ (-0.3567)/(-0.00868) ≈ <<0.3567/0.00868≈41.07>>41.07

📌 So n = 42 full cycles.

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