X=40
x+2=42
x+x+2=82
2x=80
x=40
Using an exponential function, it is found that the population of bacteria in the culture after 13 hours is of 1,491,747.
An <em>exponential function</em>, with a <u>doubling time of d, after t hours</u>, is given by:
- In which A(0) is the initial amount.
In this problem:
- The doubling time is of 3 hours, hence .
- The initial population is of 74000 bacteria, hence .
Then:
After 13 hours:
The population of bacteria in the culture after 13 hours is of 1,491,747.
To learn more about exponential functions, you can take a look at brainly.com/question/25958656
The -coordinate of the center of mass is the average value of over the plate, given by the ratio of the integral of to the mass of the plate.
The mass of the plate is
while the integral of over the plate is
and the -coordinate of the center of mass is
It takes one rectangle on the bottom of the prism and 4 triangles to make up the part that looks like a pyraimid