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does peyton manning have a daughter named lily - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 \text{Population} = 50 \times 3^4 = 50 \times 81 = 4050

📌 But the problem says $ 3^6 = 729 $ times original — so unless additional doubling occurs, the model may be misstated. But based on the stated exponential model $ P(t) = P_0 \cdot 3^t $, after 4 hours:

📌 P(4) = 50 \cdot 3^4 = 50 \cdot 81 = 4050

📌 So the correct population is 4050. The reported $ 3^6 $ factor does not match. However, following the model strictly:

📌 \boxed{4050}

📌 Question: A teacher uses a digital tool where student engagement score $ e $ depends on time $ t $ (in minutes) as $ e(t) = t^2 - 4t + 7 $. If a activity runs for 6 minutes, what is $ e(6) $?

📌 Solution: Substitute $ t = 6 $ into the function:

📌 e(6) = 6^2 - 4(6) + 7 = 36 - 24 + 7 = 19

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