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Home » Question: A fish population in a polluted lake is modeled by the function - Simpleprint

Question: A fish population in a polluted lake is modeled by the function - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Simplify both sides:

📌 + 2b = 4 + 3b

📌 Subtract \(4\) from both sides:

📌 Subtract \(2b\) from both sides:

📌 Thus, the value of \(b\) is:

📌 A hydrologist is modeling the area of a triangular aquifer section using the formula for the area of a triangle, \(A = \frac{1}{2}bh\). If the base \(b = 4\) units and the height \(h = 5\) units, compute the square of the area of the triangle.

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\boxed{\frac{4(\sqrt{x} - 2)}{x - 4}}
Question:** A patent attorney is reviewing a patent that involves a fo...
We know the identity:
p^3 + q^3 = (p+q)(p^2 - pq + q^2)
Given \( p+q = 10 \) and \( p^2 + q^2 = 58 \), we first find \( pq \)...
10^2 = 58 + 2pq
= 58 + 2pq
2pq = 42 \quad \Rightarrow \quad pq = 21
p^3 + q^3 = (p+q)(p^2 - pq + q^2) = 10(58 - 21)
p^3 + q^3 = 10 \times 37 = 370

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