Which is the simplified form of p⁰?
2 answers:
Answer:
1
Step-by-step explanation:
p⁰=1 because it is basically saying and when simplifying fractional exponents we can flip the bottom exponent up to the top if we change the sign, leaving us with : (p⁵-p⁵)=p⁰. This helps us because we also know that when we have a fraction that is the same on the top and the bottom:
for example, it can simplify down to one. This means that p⁰=1.
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Answer:
The expression for the number of bacteria after t hours is
Step-by-step explanation:
When introduced into a nutrient broth, the culture grows at a rate proportional to its size.
This means that the size of the population, after t hours, is modeled by the following differential equation:
In which R is the growth rate.
The solution of this differential equation is:
In which P(0) is the initial population.
A culture of the bacterium Salmonella enteritidis initially contains 50 cells.
This means that , and so:
After 1.5 hours, the population has increased to 775.
This means that . We use this to find r. So
The expression is:
The expression for the number of bacteria after t hours is