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A sunflower grows according to the logistic model \(H(t) = \frac{250}{1 + 24e^{-0.5t}}\) cm, where \(t\) is weeks.
  1. What is the maximum possible height (carrying capacity)?
  2. Calculate the height at \(t=0\).
  3. How many weeks does it take to reach 125 cm?

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