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Home » G. Reduces to 1/4 - Moon Smoking

G. Reduces to 1/4 - Moon Smoking

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 Diagonal: \( \sqrt{4^2 + 5^2 + 6^2} = \sqrt{16 + 25 + 36} = \sqrt{77} \).

📌 \( \sqrt{77} \approx 8.77 \) cm.

📌 #### 8.771. A virologist is testing a new antiviral compound on a culture of 1000 virus particles. After applying the compound, 60% of the viruses are neutralized in the first hour. In the second hour, 30% of the remaining viruses are neutralized. How many virus particles remain active after two hours?

📌 First hour: 1000 × 0.60 = 600 neutralized → 1000 - 600 = 400 remaining

📌 Second hour: 400 × 0.30 = 120 neutralized → 400 - 120 = 280 remaining

📌 A seismologist is analyzing fault line activity and detects aftershocks following a major earthquake. On the first day, 24 aftershocks are recorded. On each subsequent day, the number of aftershocks decreases by half. How many total aftershocks are recorded by the end of the fourth day?

📌 Day 2: 24 ÷ 2 = 12

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