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Home » The Bitterness and Power: Unbelievable Metalcore Bands Ruling the Scene! - Crankk.io

The Bitterness and Power: Unbelievable Metalcore Bands Ruling the Scene! - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 On day 9, the count is $ 3 \cdot 2^8 = 3 \cdot 256 = 768 > 500 $.

📌 On day 8: $ 3 \cdot 2^7 = 384 < 500 $, so day 9 is the first.

📌 Question: A self-healing polymer film repairs itself over time, with the repair rate modeled by $ r(t) = \sqrt{(t - 8)^2} $ millimeters per hour. For how many integer values of $ t $ is the repair rate exactly 4 mm/hour?

📌 Solution: We are given $ r(t) = \sqrt{(t - 8)^2} $.

📌 But $ \sqrt{(t - 8)^2} = |t - 8| $.

📌 Set this equal to 4:

📌 |t - 8| = 4

📌 This gives two equations:

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