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Home » \barx = \frac1.2 + 3.82 = \frac5.02 = 2.5 - go-checkin.com

\barx = \frac1.2 + 3.82 = \frac5.02 = 2.5 - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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:

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

📌 Calculate \( (1 - 0.05)^{10} = 0.95^{10} \).

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A robotics engineer programs a drone to ascend 3 meters in the first s...
This is a geometric series: first term a = 3, ratio r = 0.95, n = 10 t...
Sum = a(1 − r^n)/(1 − r) = 3×(1 − 0.95^10)/(1 − 0.95)
0.95^10 ≈ 0.5987 → 1 − 0.5987 = 0.4013
Denominator: 0.05 → Sum = 3 × 0.4013 / 0.05 = 3 × 8.026 = <<3*8.026=24...
#### 24.1
An experimental chemist develops a catalyst that increases reaction ef...
Initial inefficiency: 20%. Each hour, 5% of the current inefficiency i...
after 1 hr: 20 × 0.95 = 19
after 2 hr: 19 × 0.95 = 18.05

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