Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
Answer:
D. $67.50
Step-by-step explanation:
A ticket costs $5.25, a drink costs $2.00, and a popcorn costs 4.00. Each person in the group buys all of these. So we know that each person is paying:
4.00 + 2.00 + 5.25 = 11.25
Since there are 6 people in the group we can multiply that by 6:
11.25 * 6 = 67.50
Answer:
18q^2 - 52q + 32
Step-by-step explanation:
We can use the Distributive Property to solve this.
(2q-4)(9q-8)
2q(9q) + 2q(-8) + -4(9q) + -4(-8)
18q^2 - 16q - 36q + 32
18q^2 - 52q + 32
18q^2 - 52q + 32
Answer:
13402
Step-by-step explanation:
PV= $299,132
I/YR= 4.48% or 0.0448
N= 216
PMT= $13402
(Excel works great with this and will solve it for you, use the PMT function and insert the numbers provided. It will show a (-) but that is because a positive PV is placed.)
