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Home » Use the Pythagorean theorem to check if it is a right triangle: - Portal da AcÃºstica

Use the Pythagorean theorem to check if it is a right triangle: - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 #### 2.125

📌 An ichthyologist models fish population growth with the logistic equation $ P(t) = \frac{1000}{1 + 9e^{-0.2t}} $. What is the population at $ t = 10 $ years?

📌 Substitute $ t = 10 $:

📌 $ P(10) = \frac{1000}{1 + 9e^{-2}} $

📌 $ e^{-2} \approx 0.135 $

📌 $ P(10) = \frac{1000}{1 + 9(0.135)} = \frac{1000}{1 + 1.215} = \frac{1000}{2.215} \approx 451.47 $

📌 #### 451.47

📌 A robotic arm’s torque $ \tau $ is given by $ \tau = r \times F $, where $ r = 0.8 $ m and $ F = 50 $ N at a 60° angle. What is the torque?

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