Answer:
The answer in simplified form would be 6x+12y.
Step-by-step explanation:
Using the Laplace transform to solve the given integral equation f(t) = t, 0 ≤ t < 4 0, t ≥ 4 is 
explanation is given in the image below:
Laplace remodel is an crucial remodel approach that's particularly beneficial in fixing linear regular equations. It unearths very wide programs in var- areas of physics, electrical engineering, manipulate, optics, mathematics and sign processing.
The Laplace transform technique, the function inside the time domain is transformed to a Laplace feature within the frequency area. This Laplace function could be inside the shape of an algebraic equation and it may be solved without difficulty.
Learn more about Laplace transformation here:-brainly.com/question/14487437
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Simple...
you have: (-2,20) and (3,-10,)
Using

to find slope--->>>

=-6
m=-6
Using y=mx+b to find the equation of the line-->>>(Use any of the coordinates)
(-2,20)
20=-6(-2)+b
20=12+b
20=12+b
-12 -12
8=b
y=-6x+8
Thus, your answer.
29.202 divide by 3.14 = 9.3
Circle area is about 9.3 square
Answer:
800 M &Ms
Step-by-step explanation:
First, we can operate on the estimate that the proportion of M&Ms of the sample is equal to the proportion of M&Ms in the giant bag.
Therefore,
number of orange M&Ms in sample / sample size = number of orange M&Ms in bag / bag size
3/50 = 48 / bag size
multiply both sides by 50 to remove a denominator
3 = 48 * 50 / bag size
multiply both sides by bag size to remove the other denominator
3 * bag size = 48 * 50
divide both sides by 3 to isolate bag size
bag size = 48 * 50 / 3
bag size = 800 M &Ms