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Home » Final cases = $ 10 \times 2^5 = 10 \times 32 = 320 $. - Abu Waleed Tea

Final cases = $ 10 \times 2^5 = 10 \times 32 = 320 $. - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Here, \( a = 4 \) and \( b = -9 \). Therefore, the sum of the roots is:

📌 -\frac{-9}{4} = \frac{9}{4}

📌 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)

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