Solve the quadratic equation. Express imaginary solutions in a + bi form.x2 + 144 = 0

A. {-12i}
B. {±144i}
C. {±12i}
D. {12i}


Answer: C

Mathematics

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Find the center of mass of a thin plate covering the given region with the given density function.The region between the x-axis and the curve y = , 1 ? x ? 2, with density ?(x) = 

A.  =  = 
B.  =  = 
C.  =  = 
D.  =  = 

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Consider the sample space of 36 equally likely outcomes to the experiment in which a pair of dice is rolled. Determine whether the events A and B are mutually exclusive.A: One of the numbers is four.B: The sum is greater than 11.

A. Yes B. No

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Solve the problem.An open-top box is to be made by cutting small identical squares from each corner of a  sheet of tin and bending up the sides. If each corner square is x inches on a side, the volume of the box (in in.3) is given by V(x) = 144x - 48x2 + 4x3. By sketching the graph of V(x), estimate what values of x result in a box with a volume greater than 64 in3.

A. 0.1 in. ? x ? 5.0 in. B. 1.0 in. ? x ? 3.0 in. C. 1.5 in. ? x ? 2.5 in. D. 0.54 in. ? x ? 4 in.

Mathematics