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Home » The solution is \(\boxed12\). - American Beagle Club

The solution is \(\boxed12\). - American Beagle Club

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 #### $5632.45

📌 A geologist estimates that a rock layer erodes at 0.8 cm per year. If the layer is currently 24 cm thick, how many years until only 8 cm remains?

📌 Erosion needed: \(24 \, \text{cm} - 8 \, \text{cm} = 16 \, \text{cm}\)

📌 Years required: \(16 \, \text{cm} \div 0.8 \, \text{cm/year} = 20 \, \text{years}\)

📌 #### 20 years

📌 A biology researcher tracks bacterial growth: starting with 500 bacteria, doubling every 3 hours. How many bacteria are present after 12 hours?

📌 Number of doubling periods: \(12 \div 3 = 4\)

📌 Final count: \(500 \times 2^4 = 500 \times 16 = 8000\)

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#### \( f^{-1}(x) = rac{x + 3}{x - 2} \)
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