Answer:
y = -2.5
Step-by-step explanation:
For such a problem as this, you can replace all sine or cosine functions with their midline value of 0. Then you have ...
f(x) = 0 -2.5
which simplifies to ...
f(x) = -2.5
You can leave the equation like this, or write it as ...
y = -2.5
_____
Perhaps you can see that the midline is the value of any constant added to a sine or cosine function.
5% is equal to .05
so
46*.05= 2.3
2.3 is 5% of 46 :)
Hi again I helped you on your last question, I love helping people. Anyway here's the answer!
16. 0.188 rounded nearest hundredth = 0.19
17. 0.455 rounded nearest hundredth = 0.46
18. 0.538 rounded nearest hundredth = 0.54
19. 0.417 rounded nearest hundredth = 0.42
20. 2.833 rounded nearest hundredth = 2.83
21. 3.667 rounded nearest hundredth = 3.67
The first step for solving this problem is to know that in order to divide by a fraction,, we must multiply by the reciprocal of that fraction. This will look like the following:

× 9x
Write -6x as a difference.

× 9x
Factor out x from x² + 2x.

× 9x
Factor out -8 from -8(x + 2).

× 9x
Factor out x + 2 from the denominator (bottom) of the expression.

× 9x
Reduce the fraction with x + 2

× 9x
Finally,, calculate the product to find your final answer.

This means that the correct answer to your question is going to be option B.
Let me know if you have any further questions.
:)
Answer:
After 120 seconds
Step-by-step explanation:
Here, we want to know the number of seconds after which both spotlights will change colors at the same time again.
Basically, what we want to do here is to
calculate the value with which 30 and 40 have the same multiples or we want to
calculate the lowest common multiple of 30 and 40
The multiples of 30 are 30,60,90,120 etc
The multiples of 40 are 40,80,120 etc
We can see that the lowest common multiple of both is 120
So therefore the spotlights will change colors at the same time after 120 seconds