$240
Step-by-step explanation:
300×0.80 OR 300-(300×0.20)
Answer:

Step-by-step explanation:

take derivative with respect to t

derivative of e^t is e^t
derivative of 0.23t is 0.23

Apply chain rule


Answer:
not sure
Step-by-step explanation:
Answer:



Step-by-step explanation:
The question is unreadable, however the real polynomial is:
The polynomial fraction is:

And the decomposition is:

The solution is as follows:

Substitute the expression for P

Expand the numerator of the polynomial

Take LCM

Cancel out both denominators

Represent f(x) as A and g(x) as B

Open bracket



By comparison:
---- (1)
---- (2)
Make B the subject in (1)

Substitute
in (2)

Multiply through by 2



Collect Like Terms




Recall that:





A = -1 and B = 6
---- (1)
---- (2)
So:




And the decomposition is:

Answer:
The volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³
Step-by-step explanation:
Total Height of the punch bowl = 10 inches
Diameter of the bowl = d = 14 inches
Since, radius is half of the diameter, the radius of the bowl would be = r = 7 inches.
The shape of punch bowl is given to be cylindrical and we have to find the volume of the bowl. The formula to calculate the volume of a cylinder is:

Here, h represents the height.
We have to find the volume to fill the bowl till 1 inch from the top. Since, the height of bowl is 10 inches, we have to fill it to 9 inches. Therefore, the value of height(h) which we will substitute in the formula will be 9. Using the values in the formula gives us:

This means, the volume required to fill the punch bowl till 1 inch from the top is 1385.44 inches³