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did anybody win the powerball jackpot last night - Imagemakers

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 Substitute $ a = 2889 $, $ b = -17316 $ into (i):

📌 7(2889) + 3(-17316) + c = 38 \Rightarrow 20223 - 51948 + c = 38 \Rightarrow c = 31725

📌 Now use (1):

📌 - 17316 + 31725 + d = 20 \Rightarrow (2889 - 17316) = -14427, \quad -14427 + 31725 = 17298

📌 \Rightarrow 17298 + d = 20 \Rightarrow d = -17278

📌 Thus, $ E(0) = d = -17278 $.

📌 \boxed{-17278}

📌 Question: A behavioral researcher finds that the attention span $ A(t) $ (in minutes) of children during a tech-based activity after $ t $ hours is modeled by a quadratic $ A(t) = pt^2 + qt + r $. If $ A(1) = 25 $, $ A(2) = 32 $, and $ A(3) = 33 $, find the maximum attention span predicted by this model.

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