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Mathematics, 11.05.2021 01:00 calistaallen1734

Longest Day, June 20th 2021: 14.93 daylight hours Shortest Day, December 21st 2020: 9.30 daylight hours

Hint: You will need to find the amplitude, vertical shift (midline), and "b" from the period in order to solve this problem.

Question 1
What is the average number of summer hours per day (the midline) for the function?
A. 12.12
B. 24
C. 10.47
D. 11.87

Question 2
What is the amplitude of the function for the number of daylight hours?
A. 2.015
B. 2.995
C. 2.375
D. 2.82

Question 3
What is the period for this function?
A. 91 days
B. 180 days
C. 720 days
D. 365 days

Question 4
Which trig function did you use to model it?
A. -cos
B. cos
C. -sin
D. sin

Question 5
Choose the right function, assuming your function will start at winter solstice in 2020. Pick the one that is closest.
A. =−2.995cos(365())+14.945
B. =−2.375cos(2365())+18.155
C. =−2.816cos(2365())+12.117
D. =−2.015cos(365())+12.175

How many hours of daylight will there be on May 28, 2021?

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How many hours of daylight will there be on November 15, 2021?

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