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 11.32 hours of sunlight at the summer solstice and 7.89 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 = 1.715 sin + 9.605
B. y = 11.32 sin + 9.605
C. y = 11.32 sin + 7.89
D. y = 1.715 sin + 9.605
Answer: D
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Solve the problem by writing and using a system of linear equations.Find the amount of a 11% saline solution a lab assistant should add to 60 cc (cubic centimeters) of a 21% saline solution in order to have a 14% solution.
A. 190 cc B. 10 cc C. 40 cc D. 140 cc
Find the probability.Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 5 possible answers.
A.
B.
C.
D.
Find the domain and range for the function.
A. D: (-3, 4); R: (0, 4) B. D: [3, 4]; R: [0, 4] C. D: [0, 4]; R: [-3, 4] D. D: [-3, 4]; R: [0, 4]
Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula., -
,
, -
, ...
A. an = -
(n - 1)
B. an = n - 1
C. an = n - 1-
D. an = -
(n - 1)