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Home » Compute \( \left(\frac12\right)^3 = \frac18 \) - Aurero

Compute \( \left(\frac12\right)^3 = \frac18 \) - Aurero

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 r^{1.5} pprox \sqrt{2.3^3} = \sqrt{12.167} pprox 3.49

📌 Numerator: $ 1 + 2.3 + 5.29 + 12.167 pprox 20.757 $

📌 ThenQuestion: A plant biologist is studying a population of genetically modified wheat plants. The number of plants that survive after $ t $ weeks is modeled by the function $ S(t) = rac{t^2 + 5t + 6}{t + 2} $. What is the simplified expression for $ S(t) $, and what is the smallest integer value of $ t $ for which $ S(t) $ is an integer?

📌 We begin by simplifying the expression for $ S(t) $:

📌 S(t) = rac{t^2 + 5t + 6}{t + 2}

📌 t^2 + 5t + 6 = (t + 2)(t + 3)

📌 S(t) = rac{(t + 2)(t + 3)}{t + 2}

📌 eq -2 $, we can cancel $ t + 2 $:

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