Final answer:
To find the number of sloth blinks in a given time, convert the time to seconds and then divide by the duration of one sloth blink. For 6 days, 13 hours, 43 minutes, and 2 seconds, a sloth will blink approximately 162,223 times.
Step-by-step explanation:
To determine the number of sloth blinks that will occur in a given time frame, first, we need to convert the total time into seconds and then divide it by the duration of one sloth blink. In this case, a sloth blink lasts 3.5 seconds.
The total time is 6 days, 13 hours, 43 minutes, and 2 seconds. We will now convert each unit of time into seconds:
- Days to seconds: 6 days × 24 hours/day × 60 minutes/hour × 60 seconds/minute = 518,400 seconds
- Hours to seconds: 13 hours × 60 minutes/hour × 60 seconds/minute = 46,800 seconds
- Minutes to seconds: 43 minutes × 60 seconds/minute = 2,580 seconds
- And we already have 2 seconds to include.
Adding all of these up, we get a total of 518,400 + 46,800 + 2,580 + 2 = 567,782 seconds. Now, to find the number of sloth blinks we divide this total by the duration of one sloth blink:
±567,782 seconds ÷ 3.5 seconds/blink = 162,223.42857 blinks
Since we cannot have a fraction of a blink, we will round down to the nearest whole number. Therefore, a sloth will blink approximately 162,223 times in 6 days, 13 hours, 43 minutes, and 2 seconds.