(with steps ) find the inverse laplace transform, f(t), of the function: (7s^2 - 15s + 50)/(s(s^2 + 25))

R=

Step-by-step explanation:

Using partial fraction decomposition to get a simpler denominator for the inverse transform:

Multiple  both sides by

Separate in equations by grouping by the degree of the s:

Solving for A and C:

Substitute the value of A in the first separated equation to find the value of B:

Returning to the partial fraction decomposition:

Applying the inverse Laplace transform:

Using the next formulas:

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98