Answer:
8 degrees
Step-by-step explanation:
Your really just counting up from -6 to 2.
How many cycles will occur between t=2 and t=3.5 seconds?
The number of cycles that will occur between t = 2 and t = 3.5 seconds is 384.
Given, y = 8 sin(512πt)
where t = time in seconds.
The standard equation of a sine wave is:
y = A sin(2πfx + B) + C
where A exists the amplitude
f exists the frequency
B exists the phase shift
C is the vertical offset.
In this case:
2πf = 512π
f = 256
This means there are 256 cycles per second.
The number of cycles between t = 2 and t = 3.5 exists:
(3.5 − 2) × 256
= 384
Therefore, the number of cycles that will occur between t = 2 and t = 3.5 seconds is 384.
To learn more about the standard equation of a sine wave
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Answer:
384
Step-by-step explanation:
Standard equation of a sine wave is:
y = A sin(2πf x + B) + C
where A is the amplitude, f is the frequency, B is the phase shift, and C is the vertical offset.
In this case:
2πf = 512π
f = 256
This means there are 256 cycles per second. The number of cycles between t = 2 and t = 3.5 is:
(3.5 − 2) × 256
384
Answer: 20 ft
Step-by-step explanation:
The mirror is set away from the flagpole on the same scale set away from her.
The distance she stand's away from the mirror is 1/4 of the length of the distance between the mirror and the flag pole because she's 1/4 of the flagpole's size.
This means her size x4 is the size for the flag pole. This checks out because 12x4=48
So to find the height we must do 5x4
5x4=20
Answer:
Currently, Randy has 3 rows of carrots with 3 plants in each row, which gives a total of 3 * 3 = 9 plants.
Next year, Randy plans to plant 4 times the number of rows. Therefore, he will have 4 * 3 = 12 rows of carrots.
If each row still has 3 plants, then next year Randy will have a total of 12 * 3 = 36 plants.
Answer: 36 plants
Step-by-step explanation: 4 times the amount of rows is 12 (4x3) and 12 x 3 (amount of plants in each row) is equal to 36 plants