2. So for this question, you do the distributive property, which is multiplying the term outside of the parenthesis by the terms in the parenthesis. In this case, the outside term is 1/2. 8x * 1/2 = 4x and 1/2 * -16 is -8. That brings us to 4x - 8, which is our answer. Therefore, the correct answer choice is B.
3. Okay. In this problem, we are talking about the sum of 12 and a number. That's 12 + n, because sum means the answer to the addition problem D is out, because we don't do distributive property in this case. The sum of 12 + n is 4n. The expression is 12 + n = 4n. The answer is B.
25 yogurt dips
i took this quiz and that was the answer
18/8
8/8
1/8 = 0.125
1+0.125=1.125
Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:![\mathcal{L}[t \cos 5t]=(-1)F'(s)](https://tex.z-dn.net/?f=%5Cmathcal%7BL%7D%5Bt%20%5Ccos%205t%5D%3D%28-1%29F%27%28s%29)
with ![F(s)=\mathcal{L}[\cos 5t]](https://tex.z-dn.net/?f=F%28s%29%3D%5Cmathcal%7BL%7D%5B%5Ccos%205t%5D)
.
Now, 
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that 
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation, 
, then the Laplace transform we were searching is 
