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Home » Solar output after d days: 120 × (1.10)^d - jntua results

Solar output after d days: 120 × (1.10)^d - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 ight)\left(1 - rac{1}{3}

📌 ight) = 12 imes rac{1}{2} imes rac{2}{3} = 4.

📌 So, among every 12 consecutive integers, exactly 4 are relatively prime to 12.

📌 Now, the total number of full cycles of 12 in 120 is:

📌 $ rac{120}{12} = 10 $.

📌 So, there are $ 10 imes 4 = 40 $ such plants.

📌 Thus, the number of plants that exhibit the trait is $ oxed{40} $.

📌 Question: A mechanical engineer is designing a gear system where one gear rotates every 18 seconds and another every 30 seconds. If both start synchronized, after how many seconds will they first align at the starting position again?

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