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Home » Thus, the smallest positive integer \( n \) is: - Parker Core Knowledge

Thus, the smallest positive integer \( n \) is: - Parker Core Knowledge

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Let the flow rates through the three aquifers be \(x-1\), \(x\), and \(x+1\). The sum of these rates is:

📌 Solving for \(x\), we find:

📌 x = \frac{90}{3} = 30

📌 Thus, the flow rates are \(29\), \(30\), and \(31\) cubic meters per hour. The highest rate is:

📌 \boxed{31}

📌 A marine biotechnology researcher is analyzing the growth of microalgae in controlled conditions. The growth rates (in grams per day) over three consecutive days are represented by three consecutive integers, and their sum is 33 grams. What is the growth rate on the third day?

📌 Let the growth rates on the three consecutive days be \(x\), \(x+1\), and \(x+2\). The sum of these rates is:

📌 x + (x+1) + (x+2) = 3x + 3 = 33

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