What is the vertex of the parabola represented by y = - x^2 + 6x – 5?
2 answers:
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Answer:
3.21 grams
Step-by-step explanation:
First we are finding the radioactive decay constant using the formula:
lambda =
where
lambda is the radioactive decay constant.
is the half life of the radioactive substance.
We know from our problem that Rutherfordium- 265 has a half-life of 13 hours, so let's replace the value in our formula.
lambda =
lambda = 0.0533 per hour
Now we can use the decay formula to find the remaining quantity of the substance:
where
is the ending amount
is the beginning amount
is the time (in hours)
We know from our problem that there is a 149g sample of Rutherfordium- 265 left at 12am on October 19th, so . Notice that there are exactly 3 days from 12 am October 19th to 12 am October 22nd, so we have
; therefore
. Now we can replace all the values in our formula:
We can conclude that 3.21 grams of Rutherfordium- 265 would remain on October 22nd at 12 am.