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Home » Subtract the first equation from the second: - Leaselab

Subtract the first equation from the second: - Leaselab

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A radioactive substance decays exponentially, halving every 8 days. If the initial mass is 128 grams, how many grams remain after 32 days?

📌 Number of half-lives: \( rac{32}{8} = 4 \)

📌 Remaining mass: \( 128 imes \left(rac{1}{2}

📌 ight)^4 = 128 imes rac{1}{16} = 8 \) grams.

📌 A circle is inscribed in a square with side length 14 cm. What is the area, in square centimeters, of the circle?

📌 Radius of circle = half of side = \( rac{14}{2} = 7 \) cm

📌 Area = \( \pi r^2 = \pi imes 49 = 49\pi \) cmÂ².

📌 #### \( 49\pi \)

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