Answer :
We start with the initial time of [tex]$5:00$[/tex] am. To find the time that is [tex]$13$[/tex] hours later, we follow these steps:
1. In a 24-hour clock, [tex]$5:00$[/tex] am is represented as hour [tex]$5$[/tex].
2. Add [tex]$13$[/tex] hours to the starting hour:
[tex]$$5 + 13 = 18.$$[/tex]
3. The time in a 24-hour format now is [tex]$18:00$[/tex], which corresponds to [tex]$6:00$[/tex] on a 12-hour clock.
4. Since [tex]$18:00$[/tex] is past noon, it is in the pm period. Thus, the final time is:
[tex]$$6:00 \text{ pm}.$$[/tex]
So, [tex]$13$[/tex] hours after [tex]$5:00$[/tex] am is [tex]$6:00$[/tex] pm.
1. In a 24-hour clock, [tex]$5:00$[/tex] am is represented as hour [tex]$5$[/tex].
2. Add [tex]$13$[/tex] hours to the starting hour:
[tex]$$5 + 13 = 18.$$[/tex]
3. The time in a 24-hour format now is [tex]$18:00$[/tex], which corresponds to [tex]$6:00$[/tex] on a 12-hour clock.
4. Since [tex]$18:00$[/tex] is past noon, it is in the pm period. Thus, the final time is:
[tex]$$6:00 \text{ pm}.$$[/tex]
So, [tex]$13$[/tex] hours after [tex]$5:00$[/tex] am is [tex]$6:00$[/tex] pm.