Beginning with the function y = sin x, which would have range from -1 to 1 and period of 2pi:
Vertical compression of 1/2 compresses the range from -1/2 to 1/2
Phase shift of pi/2 to the left
Horizontal stretch to a period of 4pi, as the crests are at -4pi, 0, 4pi
Vertical shift of 1 unit up moves the range to 1/2 to 3/2
So the first choice looks like a good answer.
Answer:
166.7 cubic inches
Step-by-step explanation:
V = 1/3 x 100 x 5
V = 500/3
V = 166.7 cubic inches
Answer:
I'm not really sure that my answer is correct, but if you divide 640 by 70 you get 9, so Brian can put 9, 70 pound boxes in the truck.
Step-by-step explanation:
Hello there!
What is 25% of 400?

= 
= 100
Thus,
25% of 400 is 100
What is 5% of 20?
Well, we just need to follow the previous steps.

= 
Thus,
5% of 20 is 1
I hope this answer helps. Let me know if you have additional questions about the answer. As always, it is my pleasure helping student like you.
Step-by-step explanation:
sin(2x) + cos(3x)
Use double angle formula sin(2x) = 2 sin x cos x.
Use triple angle formula cos(3x) = 4 cos³x − 3 cos x.
Substitute:
2 sin x cos x + 4 cos³x − 3 cos x