Factor completely.x2y2 - 36

A. (x2y2 + 6)(x2y2 - 6)
B. (xy - 6)(xy - 6)
C. (xy + 6)(xy - 6)
D. (xy + 36)(xy - 36)


Answer: C

Mathematics

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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 11.29 hours of sunlight at the summer solstice and 7.94 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.)

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B. y = 1.675 sin  + 9.615
C. y = 1.675 sin  + 9.615
D. y = 11.29 sin  + 7.94

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Solve the problem.The function  can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after 

A. 3.35 mg B. 1.22 mg C. 182.99 mg D. 0.14 mg

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Write an equation for the line passing through the given pair of points. Give your final answer in standard form. and  

A. x + 7y = 3 B. x + 6y = 15 C. x - 7y = 3 D. -7x + y = 3

Mathematics

Use Newton's Law of Cooling, T = C + (T0 - C)ekt, to solve the problemA casserole baked at 350°F is taken out of the oven into a kitchen that is 72°F. After 5 minutes, the temperature of the casserole is 312.5°F. After how many minutes will its temperature be 228°F? Round your answer to the nearest minute.

A. 24 min B. 12 min C. 21 min D. 20 min

Mathematics