Answer: D
<u>Step-by-step explanation:</u>
Let x represent the score on her next test


78 + 92 + 88 + 89 + x = 5(90)
347 + x = 450
<u> -347 </u> <u>-347 </u>
x = 103
So if 24 people chose popcorn and there is a total of 60 people surveyed, the fraction would be 24/60. You still need to simplify the fraction, so divide 24/60 by 4 to get 6/15. Hope this helps. -S
Answer:
If I know what diagram you're referring to, which I believe I do, the answer is: ∠1=(1/2)[106°-36°]=35°
You would transform 5x + 2x into the same term with the associative property, adding like terms. If you subsitute the different values into the expressions you notice that both have a rate of change of 7 like an arithmetic sequence. To see if any value will make the two expressions equal you make them equal to each other.
5x + 2x = 7x -1
7x = 7x - 1
0 = -1
No they will never have be a solution to both expressions to make them equal because they're parallel to each other.
Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:
with
.
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