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Home » From Seed to Banana Splendor: How These Plants Transform Any Garden! - Baxtercollege

From Seed to Banana Splendor: How These Plants Transform Any Garden! - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Thus, the sum of the roots is \(\boxed{\frac{9}{4}}\).

📌 A science communicator is explaining the exponential growth of bacteria in a petri dish. If the growth is modeled by the equation \( 5e^{kt} = 100 \), where \( k \) and \( t \) are positive, solve for \( t \) when \( k = 0.3 \).

📌 Start by isolating the exponential term:

📌 e^{0.3t} = \frac{100}{5} = 20

📌 Take the natural logarithm of both sides to solve for \( t \):

📌 \ln(e^{0.3t}) = \ln(20)

📌 0.3t = \ln(20)

📌 Now solve for \( t \):

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