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Home » Use formula: 40 × r³⁰ = 120 - Portal da AcÃºstica

Use formula: 40 × r³⁰ = 120 - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A micropaleontologist analyzes a core sample and finds 450 microfossils in the top 10 cm. The fossil density decreases exponentially with depth, halving every 20 cm. How many microfossils would she expect in a 20–40 cm segment?

📌 Top 10 cm has 450 microfossils.

📌 Density halves every 20 cm, so the decay has a half-life of 20 cm.

📌 From 10–30 cm: depth interval = 20 cm → density halved → expected count = 450 / 2 = 225

📌 From 30–50 cm: another halving → 225 / 2 = 112.5

📌 But we want 20–40 cm: this is 20 to 40, so 10–20 cm and 20–30 cm overlap? Wait:

📌 Better: define depth = d (cm from surface)

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