Find u ? v for the two vectors given. Round your answer to three decimal places.A vector u of length 2 pointing 45° to the left of the positive y-axis and a vector v of length 9 pointing 15° to the right of the negative y-axis.
A. -9.526
B. -12.728
C. -17.387
D. -15.588
Answer: D
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Decide if the number is rational or irrational.
A. Irrational B. Rational
Find the center of mass of a thin plate covering the given region with the given density function.The triangular region cut from the first quadrant by the line y = -x + 3, with density ?(x) = x
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
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Provide an appropriate response.The only consecutive whole numbers that are both prime numbers are and .
A. 1 and 2 B. 6 and 7 C. 2 and 3 D. 0 and 1
Suppose it takes 12 hours to fill a rectangular swimming pool of uniform depth. How long will it take to fill a similarly shaped swimming pool if all of the dimensions are doubled? ? __________ hours
Fill in the blank(s) with the appropriate word(s).