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Home » 9(x-2)^2 + 4(y+2)^2 - 52 = -36 - Simpleprint

9(x-2)^2 + 4(y+2)^2 - 52 = -36 - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 A GPS tracking device is used by an ornithologist to study bird migration. A bird travels 300 km north, then 400 km east, and finally 300 km south. What is the bird's net displacement from its starting point?

📌 The bird moves 300 km north and then 300 km south, so these distances cancel each other out in the north-south direction, resulting in zero net movement in that direction.

📌 The bird moves 400 km east, which is the only remaining movement.

📌 The net displacement is therefore 400 km east.

📌 #### 400 km east

📌 An environmental remediation team is cleaning up a contaminated site. If they remove contaminants at a rate of 5 % per day, and the site initially contains 10,000 kg of contaminants, how much will remain after 10 days?

📌 Use the exponential decay formula:

📌 \( \text{Remaining contaminants} = 10,000 \times (1 - 0.05)^{10} \).

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