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whole house water filtration system for well water - Redraw

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 Two straight sides: \(2 \times 15 = 30\) meters.

📌 Total perimeter:

📌 P = 30 + 10\pi

📌 Thus, the perimeter is \(\boxed{30 + 10\pi \text{ meters}}\).Question: A palynologist observes that the number of pollen grains in a sample grows quadratically over time. If on day 2 there are 120 grains, on day 4 there are 360 grains, and on day 6 there are 720 grains, find the quadratic polynomial $ p(t) $ that models the number of pollen grains on day $ t $.

📌 Solution: Let $ p(t) = at^2 + bt + c $. Using the given data:

📌 $ p(2) = 4a + 2b + c = 120 $

📌 $ p(4) = 16a + 4b + c = 360 $

📌 $ p(6) = 36a + 6b + c = 720 $

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