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Home » Solve for \( x \) in the equation \( 2x^2 - 4x - 6 = 0 \). - Abu Waleed Tea

Solve for \( x \) in the equation \( 2x^2 - 4x - 6 = 0 \). - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \[ \binom{24}{4} = \frac{24 \times 23 \times 22 \times 21}{4 \times 3 \times 2 \times 1} = 10,626 \]

📌 \[ \frac{540}{10,626} \]

📌 \[ \frac{540}{10,626} = \frac{90}{1,771} \]

📌 \[\boxed{\frac{90}{1,771}}\]

📌 A social impact strategist is organizing a technology education initiative where participants can choose from 4 coding workshops, 6 design workshops, and 5 entrepreneurship workshops. If a participant randomly selects 3 workshops, what is the probability that they choose one from each category?

📌 To find the probability of selecting one workshop from each category, we calculate the number of favorable outcomes and divide by the total number of outcomes.

📌 First, calculate the total number of ways to choose 3 workshops from 15:

📌 Next, calculate the number of ways to select 1 coding workshop from 4:

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+ 9e^{-0.5t} = 2
9e^{-0.5t} = 1
e^{-0.5t} = \frac{1}{9}
-0.5t = \ln\left(\frac{1}{9}\right) = -\ln 9
Solve for \(t\):
t = \frac{-\ln 9}{-0.5} = \frac{\ln 9}{0.5} = 2 \ln 9 = \ln(9^2) = \ln...
Alternatively, express the final result clearly:
t = \frac{\ln 9}{0.5} = 2 \ln 9 = 2 \ln(3^2) = 4 \ln 3
Thus, the time when the population reaches 500 is:
\boxed{2 \ln 9}

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