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Home » "His Hand Reaching Out—You’ll Never Believe What Happened Next! 🔥 - go-checkin.com

"His Hand Reaching Out—You’ll Never Believe What Happened Next! 🔥 - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 5**Question:** A volcanologist is using a mathematical model to predict lava flow rates from a volcano. If the flow rate \( f(t) \) is given by \( f(t) = 3t^2 + 5t + 2 \), expand the expression for \( f(t+1) \).

📌 To expand \( f(t+1) \), substitute \( t+1 \) into the function:

📌 f(t+1) = 3(t+1)^2 + 5(t+1) + 2

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But 141 is not a perfect square — check if 137, 138, etc., work. Try a...
Try \( n = 11 \): numbers 10, 11, 12
Sum of squares: \( 100 + 121 + 144 = 365 \) → too low
Try \( n = 12 \): 11, 12, 13 → \( 121 + 144 + 169 = 434 \) → too high
Try \( n = 11.5 \)? Not integer — but integers must be whole.
Wait — recheck equation:
3n² + 2 = 425 → 3n² = 423 → n² = 141 → n = √141 ≈ 11.87 → not integer.
But problem says "three consecutive integers" — must be integers.
Try brute-force: let x = smallest, then x² + (x+1)² + (x+2)² = 425
x² + x² + 2x + 1 + x² + 4x + 4 = 425

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