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Home » \frac1a + \frac1b \geq \frac4a + b = 4 - Portal da AcÃºstica

\frac1a + \frac1b \geq \frac4a + b = 4 - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The bioinformatician aligns DNA sequences using a server that costs $0.04 per 1,000 base pair alignment. She processes 450 sequences, each 8,000 base pairs long. If her budget is $150, how much money remains after alignment?

📌 Total base pairs: 450 × 8,000 = 3,600,000.

📌 Alignment cost: (3,600,000 / 1,000) × $0.04 = 3,600 × 0.04 = $144.

📌 Remaining budget: $150 - $144 = $6.

📌 An AI startup’s algorithm optimizes irrigation, reducing water use by 35% compared to baseline. If a farm previously used 2.4 million gallons per month, how many gallons are saved annually with the new system?

📌 Monthly savings: 35% of 2,400,000 = 0.35 × 2,400,000 = 840,000 gallons.

📌 Annual savings: 840,000 × 12 = 10,080,000 gallons.

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