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Home » Maximum occurs when the cosine term is 1, i.e., - Get link 4share

Maximum occurs when the cosine term is 1, i.e., - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Total mixture = 35 + 49 = <<35+49=84>>84 grams

📌 #### 84A bioinformatician is analyzing a genome sequence that is 3.2 billion base pairs long. She uses a computational tool that processes 4 million base pairs per minute. If the analysis must be completed within 2 hours, how many parallel processing units are needed to finish on time?

📌 First, calculate the total base pairs: 3.2 billion = 3,200,000,000.

📌 Each minute, one unit processes 4 million = 4,000,000 base pairs.

📌 One unit processes in 2 hours: 2 × 60 = 120 minutes → 120 × 4,000,000 = 480,000,000 base pairs.

📌 Total needed: 3,200,000,000 ÷ 480,000,000 = 6.666... units.

📌 Since units must be whole and the work must be completed, round up to 7.

📌 An entrepreneur’s AI-driven farm uses drones to monitor crops across 1,800 acres. Each drone covers 120 acres per flight, but due to battery constraints, only 8 flights can be completed per day per drone. If the system requires daily coverage of all acres, what is the minimum number of drones needed?

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The equation is \( \frac{4 + x}{10 + x} = 0.6 \).
Solving, \( 4 + x = 0.6(10 + x) \) leads to \( 4 + x = 6 + 0.6x \).
Simplifying, \( 0.4x = 2 \) gives \( x = 5 \).
Check using the Pythagorean theorem: \( 7^2 + 24^2 = 49 + 576 = 625 \)...
A car rental company charges $50 per day plus $0.20 per mile driven. I...
Daily charge is \( 3 \times 50 = 150 \) dollars.
Mileage charge is \( 150 \times 0.20 = 30 \) dollars.
Total cost is \( 150 + 30 = 180 \) dollars.
The difference is \( (n+1)^2 - n^2 = 2n + 1 = 35 \).
Solving \( 2n + 1 = 35 \) gives \( 2n = 34 \) and \( n = 17 \).

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