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ankoles
[38]
3 years ago
14
a 29 gram sample of a substance that's used to preserve fruits and vegetables has a k-value of 0.1359. Find the substance's half
life in days. Round to nearest tenth
Mathematics
Answer
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2
answers:
kaheart
[24]
3 years ago
6
0
Okay well
a(t)= amount of substance remaining after t days
assuming exponential decay, a(t)=29e^-0.1359t
now, find the half, set a(t)= half the original and solve for t
14.5=29e^-0.1359t
0.5=e^-0.1359t
In(0.5)=In(e^-0.1359t)
In(0.5)=-o.1359t
t=in(0.5)/(-0.1359)= (aprox) 5.1 days
Send
Aleksandr
[31]
3 years ago
5
0
for plato the answer is 5.1!!
Send
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