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Home » The area \(A\) of an equilateral triangle with side \(s\) is: - Portal da AcÃºstica

The area \(A\) of an equilateral triangle with side \(s\) is: - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 #### 0.2541

📌 An entomologist tracks a bee colony that starts with 12,000 bees. Each day, 4% of the bees die, but 800 new bees are born. What is the bee population after 3 days?

📌 Day 1: Start with 12,000. After 4% die: 12,000 × 0.96 = <<12000*0.96=11520>>11,520. Add 800: 11,520 + 800 = <<11520+800=12320>>12,320.

📌 Day 2: 12,320 × 0.96 = <<12320*0.96=11827.2>>11,827.2 → add 800: 11,827.2 + 800 = <<11827.2+800=12627.2>>12,627.2.

📌 Day 3: 12,627.2 × 0.96 = <<12627.2*0.96=12108.912>>12,108.912 → add 800: 12,108.912 + 800 = <<12108.912+800=12908.912>>12,908.912.

📌 Rounded to nearest whole bee: 12,909.

📌 #### 12909

📌 A soil scientist uses spectroscopy to classify soil types across 200 plots: 30% sandy, 50% loamy, 20% clay. She samples 5 plots from each type. If she runs a chemical analysis on each, what is the minimum number of samples that must be high-clay to ensure at least 3 samples are from high-clay plots, assuming worst-case random placement?

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