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:
a or b
Step-by-step explanation:
if I did the math right it's a but I tried another way and got b, so I'm sorry if that was no help at all
Answer:
13 pears in the 21st bag
Step-by-step explanation:
mean = total number of pears/total number of bags
8 = x/21
x = 168
number of pears in 20 bags = (6 x 2) + (7 x 6) + (8 x 9) + (9 x 1) + (10 x 2)
= 155
number of pears in the 21st bag = 168 - 155
= 13
Plot the point first and then use the slope from that point<span> - 3270801. ... </span>Plot the point first and then use the slope from that point (-4,3<span>) </span>M=-1/2<span>. 0</span>
B+B=2
assuming that B is 1 I will say that 4 is C.
4+1*2= 10 is your answer.