Answer:
5/9
Step-by-step explanation:
20/36=5/9
Answer:
The correct line plot is choice C.
Step-by-step explanation:
If you look at the data values, you'll notice that there are three 
, and the only line plot that depicts this is choice C, so that is the correct answer.
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:
3 inches to the right
Step-by-step explanation:
The first birdhouse is 27.7 inches to the right
The second birdhouse is 24.9 inches to the left or -24.9 ( left is negative)
The distance between is found by adding the distances
27.7 - (24.9)
27.7-24.9 =2.8
2.8
Rounding to the nearest integer
3 inches apart
Using integers
28 - (25)
3 inches
Answer:
A
Step-by-step explanation:
firstly you have to find the rate of change of the various price index in percentage.
A, From 106 to 112:
we find the difference 112-106 = 6
then the rate of change = 6/106 * 100 = 5.66%.
B ,From 112 to 118:
we find the difference 118-112 = 6
then the rate of change = 6/118 * 100 = 5.36%.
C ,From 118 to 124:
we find the difference 124-118 = 6
then the rate of change = 6/124 * 100 = 5.08%.
we can see that the price index with the greatest percentage is A.
