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Home » The derivative of \( 2x \) is \( 2 \). - Abu Waleed Tea

The derivative of \( 2x \) is \( 2 \). - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A science journalist is analyzing the growth of a certain species of algae. The algae population doubles every 3 days. If the initial population is 500 cells, what will be the population after 15 days?

📌 The population doubles every 3 days, so after 15 days, the number of doubling periods is \( \frac{15}{3} = 5 \).

📌 The population after 15 days is \( 500 \times 2^5 = 500 \times 32 = 16000 \).

📌 A technology consultant is evaluating cloud storage solutions for a business. If a business needs to store 2 petabytes of data and each server has a capacity of 50 terabytes, how many servers are needed?

📌 Convert 2 petabytes to terabytes: \( 2 \times 1024 = 2048 \) terabytes.

📌 Number of servers needed: \( \frac{2048}{50} = 40.96 \), which rounded up is 41 servers.

📌 In a study on vaccine distribution, 80% of a town's population of 10,000 are vaccinated. If 5% of vaccinated people experience mild side effects, how many vaccinated individuals experience side effects?

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