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Home » Divide: 288 / 120 = 2.4 - Appfinity Technologies

Divide: 288 / 120 = 2.4 - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 a + 2b = a - 2b \Rightarrow 2b = -2b \Rightarrow 4b = 0 \Rightarrow b = 0.

📌 Now substitute $ b = 0 $ into the expression we are to evaluate:

📌 \frac{a^2 + 4b^2}{a^2 - 4b^2} = \frac{a^2 + 0}{a^2 - 0} = \frac{a^2}{a^2} = 1.

📌 Question: A fish population in a polluted lake is modeled by the function

📌 where $ t $ is time in years. Find the time $ t $ at which the rate of change of the population is maximized.

📌 We are given the logistic growth function:

📌 To find the time at which the rate of change is maximized, we compute $ P'(t) $, and then find its maximum.

📌 Let’s denote the denominator as $ D(t) = 1 + 9e^{-0.5t} $, so:

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Total arrangements: $56 \cdot 10 \cdot 120 = 67200$.
Thus, the number of distinct arrangements is $oxed{67200}$.
Question: A genetic modification researcher is testing 4 genetically e...
Solution: Total number of ways to choose 5 varieties from 10: $inom{1...
Number of favorable outcomes: choose 2 edited from 4 and 3 conventiona...
inom{4}{2} = rac{4 \cdot 3}{2 \cdot 1} = 6
inom{6}{3} = rac{6 \cdot 5 \cdot 4}{3 \cdot 2 \cdot 1} = 20
inom{10}{5} = rac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6}{5 \cdot 4 \cdo...
Favorable outcomes: $6 \cdot 20 = 120$.
Probability: $rac{120}{252} = rac{10}{21}$.

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