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Home » Set \( P(t) = 2P_0 \): - Redraw

Set \( P(t) = 2P_0 \): - Redraw

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 v_y = v \cdot \sin(\theta) = 30 \cdot \sin(30^\circ) = 30 \cdot 0.5 = 15 \, \text{m/s}

📌 Use the kinematic equation:

📌 v_y^2 = 2gh \Rightarrow h = \frac{v_y^2}{2g} = \frac{15^2}{2 \cdot 9.8} = \frac{225}{19.6} \approx 11.48 \, \text{m}

📌 #### 11.48

📌 A STEM student is modeling bacterial growth with the function \(N(t) = 500 \cdot e^{0.4t}\), where \(N\) is the number of bacteria after \(t\) hours. How many bacteria are present after 5 hours? Round to the nearest whole number.

📌 N(5) = 500 \cdot e^{0.4 \cdot 5} = 500 \cdot e^{2} \approx 500 \cdot 7.389 = 3694.5

📌 Round to nearest whole number: 3695

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