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Unlock Your Perfect Town Name with Our Ultimate Town Name Generator! - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Question: A micropaleontologist uses a function $ C(t) = t^3 - 3t^2 + 2t $ to model the concentration of a stable isotope in a sediment layer over time $ t $. What is the value of $ C(2) $?

📌 Substitute $ t = 2 $ into the function:

📌 C(2) = (2)^3 - 3(2)^2 + 2(2) = 8 - 12 + 4 = 0

📌 Thus, the value of $ C(2) $ is $ \boxed{0} $.

📌 Question: Find the largest value of $ x $ that satisfies the equation $ 2x^2 - 10x + 12 = 0 $.

📌 First, factor the quadratic:

📌 2x^2 - 10x + 12 = 2(x^2 - 5x + 6) = 2(x - 2)(x - 3)

📌 x - 2 = 0 \Rightarrow x = 2, \quad x - 3 = 0 \Rightarrow x = 3

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