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Home » = (19,44)² + 2a(100) - Appfinity Technologies

= (19,44)² + 2a(100) - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Number of doubling periods = 200 / 50 = 4

📌 Final coverage = 0.5 × 2⁴ = 0.5 × 16 = <<0.5*16=8>>8 km²

📌 A science policy analyst compares electric car efficiency. Model A uses 0.2 kWh/km, and Model B uses 0.15 kWh/km. If both drive 150 km, how much less energy does Model B use?

📌 Energy for Model A = 0.2 × 150 = 30 kWh

📌 Energy for Model B = 0.15 × 150 = 22.5 kWh

📌 Difference = 30 - 22.5 = <<30-22.5=7.5>>7.5 kWh

📌 A robotics engineer designs a robot arm that rotates 120 degrees in 0.8 seconds. How long to complete a full 360-degree rotation at the same speed?

📌 Seconds per degree = 0.8 / 120 = 1/150 sec/degree

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For the equation to hold for all \(k\), we set up the system:
A + B = 0 \quad \text{and} \quad A = 1
Solving this, we find \(A = 1\) and \(B = -1\). Thus:
Now, substitute this into the sum:
This is a telescoping series, where most terms cancel out:
After cancellation, we are left with:
Thus, the sum is:
- \frac{1}{51} = \frac{51}{51} - \frac{1}{51} = \frac{50}{51}
The final answer is:
\boxed{\frac{50}{51}}

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