Physicians often treat thyroid cancer with a radioactive form of iodine called iodine – 131 ( I 131 ) . The radiological half-life of I 131 is approximately 8 days, but the biological half-life for most individuals is 4.2 days. The biological half-life is shorter because in addition to I 131 being lost to decay, the iodine is also excreted from the body in urine, sweat, and saliva. For a patient treated with 100 mCi (millicuries) of I 131 , the radioactivity level R (in mCi) after t days is given by R =100 ( 2 ) − t / 4.2 . a. State law mandates that the patient stay in an isolated hospital room for 2 days after treatment with I 131 . Determine the radioactivity level at the end of 2 days. Round to the nearest whole unit. b. After the patient is released from the hospital, the patient is directed to avoid direct human contact until the radioactivity level drops below 30 mCi. For how many days after leaving the hospital will the patient need to stay in isolation? Round to the nearest tenth of a day.
Physicians often treat thyroid cancer with a radioactive form of iodine called iodine – 131 ( I 131 ) . The radiological half-life of I 131 is approximately 8 days, but the biological half-life for most individuals is 4.2 days. The biological half-life is shorter because in addition to I 131 being lost to decay, the iodine is also excreted from the body in urine, sweat, and saliva. For a patient treated with 100 mCi (millicuries) of I 131 , the radioactivity level R (in mCi) after t days is given by R =100 ( 2 ) − t / 4.2 . a. State law mandates that the patient stay in an isolated hospital room for 2 days after treatment with I 131 . Determine the radioactivity level at the end of 2 days. Round to the nearest whole unit. b. After the patient is released from the hospital, the patient is directed to avoid direct human contact until the radioactivity level drops below 30 mCi. For how many days after leaving the hospital will the patient need to stay in isolation? Round to the nearest tenth of a day.
Solution Summary: The author calculates the radioactivity level at the end of 2 days when the physicians treat thyroid cancer with radioactive form of iodine-131.
Physicians often treat thyroid cancer with a radioactive form of iodine called iodine –
131
(
I
131
)
. The radiological half-life of
I
131
is approximately 8 days, but the biological half-life for most individuals is 4.2 days. The biological half-life is shorter because in addition to
I
131
being lost to decay, the iodine is also excreted from the body in urine, sweat, and saliva.
For a patient treated with 100 mCi (millicuries) of
I
131
, the radioactivity level R (in mCi) after t days is given by
R
=100
(
2
)
−
t
/
4.2
.
a. State law mandates that the patient stay in an isolated hospital room for 2 days after treatment with
I
131
. Determine the radioactivity level at the end of 2 days. Round to the nearest whole unit.
b. After the patient is released from the hospital, the patient is directed to avoid direct human contact until the radioactivity level drops below 30 mCi. For how many days after leaving the hospital will the patient need to stay in isolation? Round to the nearest tenth of a day.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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