Solve the problem.The number of hours of sunlight in a day can be modeled by a sinusoidal function. In the northern hemisphere, the longest day of the year occurs at the summer solstice and the shortest day occurs at the winter solstice. In 2000, these dates were June 22 (the 172nd day of the year) and December 21 (the 356th day of the year), respectively. A town experiences 10.99 hours of sunlight at the summer solstice and 8.42 hours of sunlight at the winter solstice. Find a sinusoidal function 
that fits the data, where x is the day of the year. (Note: There are 366 days in the year 2000.)
A. y = 1.285 sin 
+ 9.705
B. y = 10.99 sin 
+ 8.42
C. y = 10.99 sin 
+ 9.705
D. y = 1.285 sin 
+ 9.705
Answer: D
Mathematics
You might also like to view...
Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series.
A. 3.36 × 10-2 B. 1.68 × 10-1 C. 1.96 × 10-2 D. 6.00 × 10-2
Mathematics
Provide an appropriate response.One of the graphs is that of 
and the other is that of 
. State which is the graph of 
iii
A. i B. ii
Mathematics
Find approximate x-intercepts. Round the coordinates to the nearest tenth if necessary.y = x2 + 4x - 7
A. (1.3, 0), (5.3, 0) B. (-1.3, 0), (5.3, 0) C. (1.3, 0), (-5.3, 0) D. (-1.3, 0), (-5.3, 0)
Mathematics
Find the product.(8y + x)(8y - x)
A. 64y2 - 16xy - x2 B. 64y2- x2 C. 64y2 + 16xy - x2 D. 16y2 - x2
Mathematics