The number of minutes of daylight during a day, L(t), at 40° North latitude is modeled by the function 21 L(t)=167.5sin [2pi/365 (t–80.75)] + 731 where t is the number of days after the beginning of the year 2019. (Note: For January 1, 2019, t = 1; and for December 31, 2019, t = 365.) Which of the following is the correct interpretation of L'(364)? A) The number of minutes of daylight is increasing by 1.760 minutes per day on December 30, 2019.
B) The rate at which the number of minutes of daylight is increasing by 0.469 minutes per day per day on December 30, 2019.
C) The number of minutes of daylight is increasing by 0.469 minutes per day on December 30, 2019.
D) The number of minutes of daylight is decreasing by 0.469 minutes per day on December 30, 2019.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

where's the diagram?

step-by-step explanation: