Determine whether the sequence is arithmetic. If so, find the common difference.
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7, 12, 17, 22, 27, ...
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A. Arithmetic sequence, d = 5
B. Arithmetic sequence, d = 10
C. Arithmetic sequence, d = -5
D. Arithmetic sequence, d = -27
E. Not an arithmetic sequence
Answer: A
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You put a drink in the freezer to cool. When it is chilled, you take the drink out but, being forgetful, leave it sitting on the kitchen counter. The temperature D, in degrees, of the drink t minutes after it is put in the freezer is given by
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.
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During the period from 5 minutes after it is put in the freezer until 20 minutes after, when is the drink the warmest, and what is its warmest temperature? Be careful. You are asked for the warmest temperature, not the coldest. Round your answers to two decimal places.
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A. It reaches its warmest temperature of 45.13 degrees after 5.00 minutes. B. It reaches its warmest temperature of 5.00 degrees after 45.13 minutes. C. It reaches its warmest temperature of 20.00 degrees after 54.93 minutes. D. It reaches its warmest temperature of 54.93 degrees after 20.00 minutes.
Solve the system.x2 + 2xy + y2 = 9x2 + 2xy - y2 = -9
A. {(0, 3), (0, -3), (6, 3), (6, -3)} B. {(0, 3), (0, -3), (6, 3), (-6, -3)} C. {(0, 3), (0, -3), (-6, 3), (-6, -3)} D. {(0, 3), (0, -3), (-6, 3), (6, -3)}
Find an equation for the sphere with the given center and radius.Center (-3, 3, 0), radius = 1
A. x2 + y2 + z2 - 6x - 6y = -17 B. x2 + y2 + z2 + 6x + 6y = -17 C. x2 + y2 + z2 - 6x + 6y = -17 D. x2 + y2 + z2 + 6x - 6y = -17
Use a sum or difference identity to find the exact value.sin 
A. 
B. 
C. 
D. 