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subject to $ x, y > 0 $. - Feedz API

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 Question: A plant biologist studies a circular leaf with a regular hexagonal pattern inscribed within it. If each side of the hexagon is 3 cm, what is the circumference of the leaf?

📌 Solution: For a regular hexagon inscribed in a circle, the side length equals the radius $ r $. Thus, $ r = 3 $ cm. The circumference $ C $ is:

📌 Question: A computational linguist models language evolution as a sphere with radius $ y $ and a hemisphere with radius $ 2y $. What is the ratio of the spheres volume to the hemispheres volume?

📌 A car travels at a constant speed of 60 miles per hour. How far will it travel in 4.5 hours?

📌 A companys revenue increased by 12% in the first year, then by 15% in the second year, starting from $200,000. What is the revenue at the end of the second year?

📌 The revenue at the end of the second year is $257,600.

📌 A rectangular field has a length of 150 meters and a width of 80 meters. What is the length of the diagonal of the field?

📌 The length of the diagonal is approximately 170 meters.

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