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Mathematics, 11.05.2021 01:00 oliviablue7535

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. =βˆ’2.995cos(365())+14.945
B. =βˆ’2.375cos(2365())+18.155
C. =βˆ’2.816cos(2365())+12.117
D. =βˆ’2.015cos(365())+12.175

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

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

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

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Answers: 3

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