The restriction are that neither h nor g may equal zero as that would lead to division by zero.

The simplification after units cancel is:

(3(gh)^3)/100 or if you prefer

0.03(gh)^3

6 0

3 years ago

Compute F(s), the Laplace transform of f(t) = e^(5t) (t^2 +4t +7)

MakcuM [25]

Recall that

$\mathcal L_s\{t^ne^{ct}\}=\dfrac{n!}{(s-c)^{n+1}}$

Then

$F(s)=\dfrac2{(s-5)^3}+\dfrac4{(s-5)^2}+\dfrac7{s-5}$

3 0

2 years ago

A square has a perimeter of 40 m what is the length of each side

zubka84 [21]

Answer:

10m

Step-by-step explanation:

Perimeter means adding up all of the sides of a shape.

One property of a square is that all lengths of a square are the same.

We also know squares have 4 sides.

Lets set up an expression to solve the length for each side with variable S representing the length of a side:

4 * S = 40

Divide each side by 4:

S = 10

Therefore, each side of the square has a length 10m

7 0

1 year ago

Find the length of the diagonal of a square with perimeter 32.

snow_lady [41]

Answer:

i think A. because she is 4/2

7 0

2 years ago