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Home » For \(\tan 30^\circ\), we use the identity for the tangent of 30 degrees: - Londonproperty

For \(\tan 30^\circ\), we use the identity for the tangent of 30 degrees: - Londonproperty

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 Time elapsed: 5:00 PM - 8:00 AM = 9 hours.

📌 Number of half-lives for Drug A: 9 / 4 = <<9/4=2.25>>2.25.

📌 Remaining = 200 × (1/2)^2.25 = 200 × (0.5)^2.25 ≈ 200 × 0.2107 = <<200*0.2107=42.14>>42.14 mg.

📌 #### 42.14

📌 A seismologist uses machine learning to classify 1,200 seismic events over a month. The algorithm correctly identifies 94% of earthquakes, incorrectly flagging 3% of non-seismic noise as quakes. If 15% of the events are actual earthquakes, how many false positives were recorded?

📌 Total events: 1,200.

📌 Actual earthquakes: 15% of 1200 = 0.15 × 1200 = <<0.15*1200=180>>180.

📌 Non-seismic events: 1200 - 180 = <<1200-180=1020>>1020.

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