-3 1/2 is another way it can be written
Answer:
180 fb*lb
45 ft*lb
Step-by-step explanation:
We have that the work is equal to:
W = F * d
but when the force is constant and in this case, it is changing.
therefore it would be:

Where a = 0 and b = 30.
F (x) = 0.4 * x
Therefore, we replace and we would be left with:

We integrate and we have:
W = 0.4 / 2 * x ^ 2
W = 0.2 * (x ^ 2) from 0 to 30, we replace:
W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)
W = 180 ft * lb
Now in the second part it is the same, but the integral would be from 0 to 15.
we replace:
W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)
W = 45 ft * lb
Simplifying
5x + 2 = 3x + -4
Reorder the terms:
2 + 5x = 3x + -4
Reorder the terms:
2 + 5x = -4 + 3x
Solving
2 + 5x = -4 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
2 + 5x + -3x = -4 + 3x + -3x
Combine like terms: 5x + -3x = 2x
2 + 2x = -4 + 3x + -3x
Combine like terms: 3x + -3x = 0
2 + 2x = -4 + 0
2 + 2x = -4
Add '-2' to each side of the equation.
2 + -2 + 2x = -4 + -2
Combine like terms: 2 + -2 = 0
0 + 2x = -4 + -2
2x = -4 + -2
Combine like terms: -4 + -2 = -6
2x = -6
Divide each side by '2'.
x = -3
Simplifying
x = -3
The rule to represent the aritmathic sequence would be :
A(n) = 130 + (n-1) 13
the height in 13 days would be :
A(n) = 130 + (14-1) 13
A(n) = 130 + 169
= 299 inches