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red lobster and hooters restaurant closures - AssociationVoting

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 Solution: The concentration follows an arithmetic sequence: $ a = 3 $, $ d = 4 $. We want the smallest $ n $ such that:

📌 Question: A chemical engineer is evaluating a renewable energy project where the efficiency of a carbon capture unit increases by 2% every month, starting at 70%. After how many months will the efficiency first reach at least 90%?

📌 Solution: The efficiency follows an arithmetic sequence: $ a = 70 $, $ d = 2 $. We want the smallest $ n $ such that:

📌 $(2 - t)(1) + (1 + 2t)(-2) + (-2 - t)(1) = 0$

📌 Question: A volcanic fissures edge is modeled by the line $x = 5 - 3t$, $y = 2 + t$, $z = -1 + 4t$. Determine the integer coordinates of the point on this line closest to a seismic sensor at $(1, 5, -3)$.

📌 $(-4 + 3t)(-3) + (3 - t)(1) + (-2 - 4t)(4) = 0$

📌 Question: Given three vertices of a regular tetrahedron at $(0, 0, 0)$, $(1, 1, 1)$, and $(1, 0, 0)$, find the coordinates of the fourth vertex with integer components.

📌 The inequality holds when the expression is negative or zero. Include $ p = 5 $ for equality. Exclude $ p = 1 $.

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