Answer:
Area =
Step-by-step explanation:
<u>The Complete Question:</u>
A rectangle has height and width
. What is the area of the rectangle in terms of x?
<u>Solution:</u>
The formula for the area of a rectangle is:
Area = Height * Width
Both the expressions for height and width is given, so we just need to multiply both the expressions to get an expression, in x, for the area of the rectangle. The algebra is shown below:
This is the area of the rectangle.
Answer:
The doubling time is of 27.65 minutes.
Step-by-step explanation:
Exponential equation of growth:
The exponential equation for population growth is given by:
In which P(0) is the initial value and k is the growth rate.
A freshly inoculated bacterial culture of Streptococcus contains 100 cells.
This means that . So
When the culture is checked 60 minutes later, it is determined that there are 450 cells present.
This means that , and we use this to find k. So
So
Doubling time:
This is t for which P(t) = 2P(0) = 200. So
The doubling time is of 27.65 minutes.