QUESTION IMAGE
Question
what formula would you use to calculate the mass of fermium - 253 remaining after d days?
f(d)=400(0.833)^d
f(d)=400(0.794)^d
f(d)=400(0.500)^d
f(d)=400(0.100)^d
complete
how many grams of fermium will remain after twenty - three days?
done
12.5 g
6.25 g
3.125 g
1.986 g
Step1: Identify the correct formula
The correct formula for the mass of fermium - 253 remaining after $d$ days is $f(d)=400(0.794)^{d}$.
Step2: Substitute $d = 23$ into the formula
We substitute $d = 23$ into $f(d)=400(0.794)^{d}$, so $f(23)=400\times(0.794)^{23}$.
Step3: Calculate the value
$(0.794)^{23}\approx0.015625$, then $f(23)=400\times0.015625 = 6.25$.
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$6.25$ g