Janiya found that her playlist will play for 3.8 * 10 ^ 2 seconds, 6. overline 3 *10^ 5 minutes , 1. overline 05 *10^ 4 hours, or 4. overline 39814 *10^ 2 days Which answer uses the most appropriate units ? (1 point)
The most appropriate unit for measuring the length of a playlist would be minutes.
To determine which answer uses the most appropriate units, we need to compare the different options given.
The options are:
1. 3.8 * 10^2 seconds
2. 6.3 *10^5 minutes
3. 1.05 *10^4 hours
4. 4.39814 *10^2 days
To make a comparison, we need to convert all the options to the same unit. Let's convert everything to seconds:
1. 3.8 * 10^2 seconds = 3.8 * 100 = 380 seconds
2. 6.3 * 10^5 minutes = 6.3 * 10^5 * 60 seconds = 378000 seconds
3. 1.05 * 10^4 hours = 1.05 * 10^4 * 60 * 60 seconds = 378000 seconds
4. 4.39814 * 10^2 days = 4.39814 * 10^2 * 24 * 60 * 60 seconds = 38003424 seconds
Comparing the results, we can see that the option with the most appropriate units is option 4. It represents the duration in seconds, which is a commonly used unit of time.
Therefore, the answer that uses the most appropriate units is option 4.
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 each option to hours, since it's a common unit.
1 second is equal to 1/3600 hours (there are 3600 seconds in an hour). Therefore, 3.8 * 10^2 seconds is equal to 3.8 * 10^2 * (1/3600) hours.
1 minute is equal to 1/60 hours (there are 60 minutes in an hour). Therefore, 6.3 * 10^5 minutes is equal to 6.3 * 10^5 * (1/60) hours.
1 hour is equal to 1 hour, so 1.05 * 10^4 hours remains the same.
1 day is equal to 24 hours. Therefore, 4.39814 * 10^2 days is equal to 4.39814 * 10^2 * 24 hours.
Now we can compare the converted options:
3.8 * 10^2 * (1/3600) hours = 0.1055555556 hours
6.3 * 10^5 * (1/60) hours = 10500 hours
1.05 * 10^4 hours = 10500 hours
4.39814 * 10^2 * 24 hours = 10557.336 hours
From the options given, the answer 4. overline 39814 *10^ 2 days using 10557.336 hours is the most appropriate unit, since it represents the longest duration.