To determine which answer uses the most appropriate units, let's convert the different time measurements to a common unit (for example, days) for comparison.
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Seconds to Days: \[ \text{Seconds in a day} = 60 \text{ seconds/minute} \times 60 \text{ minutes/hour} \times 24 \text{ hours/day} = 86400 \text{ seconds/day} \] \[ 3.8 \times 10^7 \text{ seconds} = \frac{3.8 \times 10^7}{86400} \approx 439.5 \text{ days} \]
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Minutes to Days: \[ \text{Minutes in a day} = 60 \text{ minutes/hour} \times 24 \text{ hours/day} = 1440 \text{ minutes/day} \] \[ 6.3 \times 10^5 \text{ minutes} = \frac{6.3 \times 10^5}{1440} \approx 437.5 \text{ days} \]
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Hours to Days: \[ 1.05 \times 10^4 \text{ hours} = \frac{1.05 \times 10^4}{24} \approx 437.5 \text{ days} \]
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Days: \[ 4.39814 \times 10^2 \text{ days} = 439.814 \text{ days} \]
Now let's summarize the results:
- 3.8 × 10^7 seconds ≈ 439.5 days
- 6.3 × 10^5 minutes ≈ 437.5 days
- 1.05 × 10^4 hours ≈ 437.5 days
- 4.39814 × 10^2 days = 439.814 days
The answer that uses the most appropriate units, which is the most easily understood and is measured in days, is: 4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×10^2 days