Janiya found that her playlist will play for 3.8×10^2 seconds, 6.3¯¯¯ ×10^5 minutes, 1.05¯¯¯¯¯ ×10^4 hours, or 4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×10^2 days. Which answer uses the most appropriate units?(1 point)
6.3¯¯¯ ×10^5 minutes
4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×10^2 days
3.8×10^7 seconds
1.05 ¯¯¯¯¯¯ ×10^4 hours
The answer that uses the most appropriate units is 4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×10^2 days.
The answer that uses the most appropriate units would be "4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×10^2 days."
To determine which answer uses the most appropriate units, we need to convert all the given options to the same unit of time. Let's convert all the options to seconds.
1 minute = 60 seconds
1 hour = 60 minutes = 3600 seconds
1 day = 24 hours = 1440 minutes = 86400 seconds
Now, let's convert each option:
6.3¯¯¯¯ × 10^5 minutes = 6.3 × 10^5 minutes × 60 seconds/minute = 3.78 × 10^7 seconds
4.39814¯¯¯¯¯¯¯¯¯¯¯¯ × 10^2 days = 4.39814 × 10^2 days × 24 hours/day × 60 minutes/hour × 60 seconds/minute = 3.8 × 10^7 seconds
1.05¯¯¯¯ × 10^4 hours = 1.05 × 10^4 hours × 60 minutes/hour × 60 seconds/minute = 3.78 × 10^7 seconds
3.8 × 10^2 seconds = 3.8 × 10^2 seconds
From the conversions, we can see that all the options are equivalent to 3.8 × 10^7 seconds. Therefore, the answer that uses the most appropriate units is 3.8 × 10^7 seconds.