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Answer:
C 3x +1 = y
Step-by-step explanation:
x-values increase by 1 from row to row.
y-values increase by 3 from row to row.
The slope of the linear function is the ratio of the y-increase to the x-increase:
m = ∆y/∆x = 3/1 = 3
The only offered choice with an x-coefficient of 3 is ...
C 3x +1 = y
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If you check this against the table entries, you find it fits.
3(1) +1 = 4
3(2) +1 = 7
and so on.
Answer:
the area in square yards is 100πyd^2
Step-by-step explanation:
The computation of the area is shown below:
Area = πr^2
= π10^2
= 100πyd^2
Hence, the area in square yards is 100πyd^2
We simply applied the above formula to determine the area
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
