A machine completes 1000 tasks in [tex]4.3 \times 10^{-2}[/tex] seconds. How many tasks will be completed in 2 hours? Leave your answer in scientific notation.

You need to find out how many times (4.3 x 10^-2 seconds) goes into 2 hours, and however many times that is, the machine will do that many thousand tasks. It's just a simple division problem.
2 hours = 7,200 seconds
(7.2 x 10^3 seconds) / (4.3 x 10^-2 seconds) = 1.674 418 605 x 10^5 times (rounded)
The machine completes 1.674 418 60 x 10^8 tasks, and it's working on the next one when the two hours expire.

Answered by AL2006 | 2024-06-10

In 2 hours, the machine will complete approximately 1.68 × 1 0 8 tasks. This was calculated by converting hours to seconds, and then determining the rate of task completion. Finally, the total tasks completed in the given time were calculated and expressed in scientific notation.
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Answered by AL2006 | 2025-02-05