The answer is 52
x - the number of students in a bus
4 + 9x = 472
9x = 472 - 4
9x = 468
x = 468 / 9
x = 52
What’s something goes up but never comes down?
The problem statement tells you "7 friends were playing basketball".
_____
It appears 5 friends were only playing basketball, 2 friends were playing basketball and having snacks, and 3 friends were only having snacks. Apparently, 10 friends were doing neither of those activities.
It is negative because the plot is going down not up
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