Answer: The required inverse transform of the given function is

Step-by-step explanation: We are given to find the inverse Laplace transform, f(t), of the following function :

We have the following Laplace formula :

Therefore, we get

Thus, the required inverse transform of the given function is

Answer:
8 inches.
Step-by-step explanation:
From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.
Ab = s ^ 2 = 100
Therefore each side would be:
s = (100) ^ (1/2)
s = 10
So, side of the square base = 10 inches
Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:
Ap = 520/2 = 260
For an area of the square pyramid we have the following equation:
Ap = 2 * x * s + s ^ 2
Where x is the height of each triangular surface and s is the side of the square base
Replacing we have:
260 = 2 * x * 10 + 10 ^ 2
20 * x + 100 = 260
20 * x = 160
x = 160/20
x = 8
Therefore, the value of x is 8 inches.
Answer:
59.52 days
Step-by-step explanation:
So this is a simple problem we can solve easily
If it takes 3 days to read 50 pages then obviously his rate of reading is 50 pages per day
If we divide 992 by 50, then we can find how many 3 day increments it will take him
(992/50 is 19.84)
Now is we multiply 19.84 by 3, we get the total amount of days which is 59.52
I hope I helped and have a wonderful day!
Answer:
8 cm
Step-by-step explanation:
Answer:
12!
Step-by-step explanation: