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?

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

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

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

the correct answer option is d. la = πrs.

step-by-step explanation:

we know that for a right cone, the lateral surface area is given by:

lateral area of right cone =

here the value under the square root is equal to slant height so replacing this value by in the formula to get:

lateral area of right cone =

therefore, the correct answer option is d.