Answer:
29 = 6 + k
k = 23
Step-by-step explanation:
The equation for that would be:
29 = 6 + k
and the answer would be:
29 = 6 + k
-6 -6
23 = k
k = 23
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) :


Answer:
x=5
Step-by-step explanation:
This is because the inscribed angle of the circle or angle EFG is equal to the twice of the degree of the arc EG. Therefore, we can create this equation:
12+40=2(8x+10)
12+40=16x+20
20=4x
x=5
Answer:
or
Step-by-step explanation:
The given quadratic equation is

Group the constant terms on the right hand side.


Divide through by 5.

Add the square of half the coefficient of x., which is
to both sides of the equation.

The left hand side is now a perfect square.

Take the square root of both sides;



or 
or 
or 
Total of 7 packs. 12 pencils in a pack. 7x12 = 84