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twilight zone golden earring - ClickBalance

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 \( b_2 = M(b_1) = M(1) = 1 - \frac{1^4}{4} = 1 - \frac{1}{4} = \frac{3}{4} \)

📌 \( b_3 = M(b_2) = M\left(\frac{3}{4}\right) = \frac{3}{4} - \frac{\left(\frac{3}{4}\right)^4}{4} \)

📌 Compute \( \left(\frac{3}{4}\right)^4 = \frac{81}{256} \), so:

📌 b_3 = \frac{3}{4} - \frac{1}{4} \cdot \frac{81}{256} = \frac{3}{4} - \frac{81}{1024}

📌 Convert \( \frac{3}{4} = \frac{768}{1024} \):

📌 b_3 = \frac{768 - 81}{1024} = \frac{687}{1024}

📌 \boxed{\frac{687}{1024}}.

📌 \]Question: An environmental educator in Toronto is planning a circular garden with a diameter of 10 meters for a school project. A straight walking path of 6 meters is to be laid across the garden, not passing through the center. What is the shortest distance from the center of the garden to this path?

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