Radioactive technetium-99m is often used in diagnostic medicine because it has relatively short half-life but lasts long enough to get the needed testing done on the patient. If its half-life is 6 hours, how much of the radioactive material from a 2.5ml injection will be in the body in 30 hours? Write your answer rounded to nearest hundredth.

0.08 ml

Step-by-step explanation:

Given that

The half life is 6 hours

The injection is 2.5 ml

And, it remains in the body till 30 hours

We need to find out that how much of the  radioactive material remains in the body

So,

= 2.5 × (1 ÷ 2) ^(30 ÷ 6)

= 2.5 × (1 ÷ 2) ^5

= 0.0781

= 0.08 ml

step-by-step explanation:

if x = 2 you have to find x to finish the problem