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liq [111]
3 years ago
8

Juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f(x) =

10(0.98)x to represent the amount of radioactive material that will remain after x hours in the container. Rounded to the nearest tenth, how much radioactive material will remain after 10 hours?
Mathematics
2 answers:
Misha Larkins [42]3 years ago
6 0
Rounded to the nearest tenth would remain is 8.2 units is the answer. Just took the test.
Maslowich3 years ago
5 0

Answer: There is approximately 8.2 amount of radioactive material that will remain after 10 hours.

Step-by-step explanation:

Since we have given that

f(x)=10(0.98)^x

where, f(x) represents the amount of radioactive material that will remain after x hours in the container.

Since we have given that x = 10 hours.

So, our equation becomes,

f(10)=10\times (0.98)^{10}\\\\f(10)\approx 8.17\\\\f(10)\approx 8.2

Hence, there is approximately 8.2 amount of radioactive material that will remain after 10 hours.

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