daleearnhardt1oytpxl daleearnhardt1oytpxl
  • 09-01-2018
  • Mathematics
contestada

A 29 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1342. What is the substance's half-life in days? To the nearest tenth.

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sagansiniard
sagansiniard sagansiniard
  • 09-01-2018
Here are the variables:
[tex]n_{0}=29\text{ grams}\\ n=14.5\text{ grams}\\ k\approx.1342[/tex]

Here are the details:
[tex]14.5=29e^{-.1342t}\\ .5=e^{-.1342t}\\ \ln(.5)=\ln(e^{-.1342})\\ \ln(.5)=-.1342t\\ ^{\ln(.5)}/_{-.1342}=t\\ 5.2\approx t[/tex]

Here is your answer:
[tex]5.2\approx t[/tex]

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