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Home » The power usage \(P(t)\) of a school’s EV charging stations is modeled by: - DNSFLEX

The power usage \(P(t)\) of a school’s EV charging stations is modeled by: - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 x^2(x^2 - 2x + 3) = x^4 - 2x^3 + 3x^2 \\

📌 2x(x^2 - 2x + 3) = 2x^3 - 4x^2 + 6x \\

📌 3(x^2 - 2x + 3) = 3x^2 - 6x + 9

📌 Now combine all terms:

📌 x^4 - 2x^3 + 3x^2 + 2x^3 - 4x^2 + 6x + 3x^2 - 6x + 9

📌 Combine like terms:

📌 x^4 + ( -2x^3 + 2x^3 ) + (3x^2 - 4x^2 + 3x^2) + (6x - 6x) + 9 = x^4 + 2x^2 + 9

📌 Final answer: $ \boxed{x^4 + 2x^2 + 9} $Question: A cartographer is analyzing elevation data from a triangular region defined by points $ A = (1, 2), B = (4, 6), C = (7, 3) $. If the elevation at each vertex is proportional to its respective $ z $-coordinate, and the average elevation over the triangle is $ 12 $, what is the $ z $-coordinate of the centroid of triangle $ ABC $?

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