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Home » Thus, the remainder when \( I(10) \) is divided by 7 is \( oxed1 \). - Groen Casting

Thus, the remainder when \( I(10) \) is divided by 7 is \( oxed1 \). - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Each drone covers 120 acres per flight × 8 flights = 960 acres per day.

📌 Number of drones required: 1,800 ÷ 960 = 1.875.

📌 Since drones must be whole, round up to 2.

📌 Day 1: After use, 120 liters used → 500 - 120 = 380 liters left.

📌 90% recycled: 0.9 × 120 = 108 liters added the next day.

📌 Day 2: Start with 380 + 108 = 488 liters. Use 120 → 368. Recycle 108.

📌 Day 3: Start with 368 + 108 = 476 liters. Use 120 → 356. Recycle 108.

📌 After Day 3, water remaining is 356 liters.

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\(2^3 = 8 \equiv 0\)
\(4^3 = 64 \equiv 0\)
\(6^3 = 216 \equiv 0\)
So all even \(n\) satisfy \(n^3 \equiv 0 \pmod{8}\). So condition is \...
Step 2: Solve modulo 125
n^3 \equiv 888 \pmod{125}
Note \(888 \mod 125 = 888 - 7\cdot125 = 888 - 875 = 13\), so:
n^3 \equiv 13 \pmod{125}
We search for a solution to \(n^3 \equiv 13 \pmod{125}\). Try lifting...
Try small values modulo 5 first:

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