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Home » Use the Pythagorean theorem to compute the diagonal \(d\) of the rectangle: - Crosslake

Use the Pythagorean theorem to compute the diagonal \(d\) of the rectangle: - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 #### 0.595

📌 A pharmacologist is developing a drug with a half-life of 6 hours, meaning the concentration halves every 6 hours. If a patient is administered 320 mg initially, how much of the drug remains in the body after 18 hours?

📌 Number of half-lives in 18 hours: 18 / 6 = <<18/6=3>>3.

📌 Remaining amount = 320 × (1/2)³ = 320 × 1/8 = <<320/8=40>>40 mg.

📌 A seismologist uses AI to analyze seismic wave patterns from 8 different earthquake events. Each event generates 1.8 terabytes of raw waveform data. After initial processing, data size is reduced by 40%. If storage costs $0.023 per gigabyte per year, what is the annual storage cost for all processed data?

📌 Total raw data: 8 × 1.8 = <<8*1.8=14.4>>14.4 TB = 14,400 GB.

📌 After 40% compression, size becomes 14,400 × 0.6 = <<14400*0.6=8640>>8,640 GB.

📌 Annual cost: 8640 × 0.023 = <<8640*0.023=198.72>>198.72 dollars.

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