IDNLearn.com: Where curiosity meets clarity and questions find their answers. Discover comprehensive answers to your questions from our community of knowledgeable experts.
Sagot :
Isolating t, we have that:
a) We would have the inverse function, which would given the number of hours until there are N bacteria.
b) [tex]t = -\ln{\left(\frac{5000}{N(t)}\right)[/tex]
What is the mathematical model?
The number of bacterial cells after t hours in their sample once the medicine is introduced is modeled by the equation:
[tex]N(t) = 5000e^{-t}[/tex]
Item a:
Isolating t, we would have the inverse function, which would given the number of hours until there are N bacteria.
Item b:
[tex]N(t) = 5000e^{-t}[/tex]
[tex]e^{-t} = \frac{5000}{N(t)}[/tex]
[tex]\ln{e^{-t}} = \ln{\left(\frac{5000}{N(t)}\right)[/tex]
[tex]-t = \ln{\left(\frac{5000}{N(t)}\right)[/tex]
[tex]t = -\ln{\left(\frac{5000}{N(t)}\right)[/tex]
You can learn more about inverse logarithmic functions at https://brainly.com/question/26499627
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.
