6a. By the convolution theorem,
6b. Similarly,
7. Take the Laplace transform of both sides, noting that the integral is the convolution of 
and 
.
where 
. Then 
, and
We have the partial fraction decomposition,
Then we can easily compute the inverse transform to solve for f(t) :
There is not a lot of information to go off of...so I think that if he mows for 11 hours a day it would be 330 hours. Also, you did not give how much he makes from this.
330hrs x how much he makes from 11hrs= $
In this question, the speed of the dolphin is already given, but the unit is different. The speed of the dolphin is given as 40 miles per hour and it has to be converted to feet per hour.
We already know that 1 mile = 5280 feet
Then
40 mile = 5280 * 40 feet
= 211200 feet
So the speed in feet per hour will be 211200 feet per hour. I hope the procedure is clear enough for you to understand. You can always use this method for solving similar problems without requiring any help from outside.
So we have lengths a and b and are given:
2a+2b = 66 => a+b = 33 => a= 33-b
a*b = 272
plug in one into the other:
(33-b)b = 272 => -b^2 +33b - 272 = 0
Can be factored as (b-16)(b-17) = 0, if you don't "see" this immediately, use the well known abc formula to find b.
So a=16 and b=17 or vice versa.
Answer:
$22.5
Step-by-step explanation:
25% of $90
25% x 90
0.25 x 90
$22.5
