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Home » \[ 60 = 2(2w + w) \] - AMAZONAWS

\[ 60 = 2(2w + w) \] - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 A scientist is studying the growth of a bacterial culture. If the culture doubles every 3 hours and starts with 100 bacteria, how many bacteria will there be after 24 hours?

📌 The bacteria double every 3 hours, so in 24 hours, there are \( rac{24}{3} = 8 \) doubling periods.

📌 Starting with 100 bacteria, after 8 doublings:

📌 \( 100 imes 2^8 = 100 imes 256 = 25600 \) bacteria.

📌 A car accelerates uniformly from rest and reaches a speed of 60 m/s in 10 seconds. What is the acceleration of the car in meters per second squared?

📌 Acceleration is change in velocity divided by time:

📌 \( a = rac{60\, ext{m/s} - 0}{10\, ext{s}} = 6\, ext{m/s}^2 \).

📌 The volume of a rectangular prism is 540 cubic centimeters. If the length is 10 cm and the width is 9 cm, what is the height?

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