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:
(7-2) x 2 -1 = 9
Step-by-step explanation:
(7-2) = 5 x 2 =10 -1 = 9
A - side of small map
a+6 - side of larger map
(a+6)² - area of larger map
(a+6)² = 121
(a+6)² = 11² |√(...)
a+6 = 11 |-6
a+6-6 = 11-6
<span>a = 5
</span>Answer A. <span>5 inches by 5 inches</span>
Answer:
(9-j)-3
Step-by-step explanation:
Let's start from the beginning and subtract j from 9. Because the word "from" is used, 9 will be the first number and j will be the second number.
We have 9-j
Now, we have to subtract 3 from the final answer. So, we have (9-j)-3
Answer:
Step-by-step explanation:
plug in 3 , 5 and 17 for n
8 + 3(3 -1) = 8 + 6 = 14
8 + 3(5-1) = 8 + 12 = 20
8 + 3(17-1) = 8 + 48 = 56
