Decide what number must be added to the binomial to make a perfect square trinomial.x2 + 14x

A. 98
B. 7
C. 49
D. 25


Answer: C

Mathematics

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Solve the problem.Find the center of mass of the region of constant density bounded by the paraboloid  and the xy-plane.

A.  = 0,  = 0,  = 27
B.  = 0,  = 0,  = 3
C.  = 0,  = 0,  = 
D.  = 0,  = 0,  = 

Mathematics

Find the particular solution to the given differential equation that satisfies the given conditions.y'' + 8y' + 12y = 0; y' = 0 and y = 3 when x = 0

A. y = - e-6x + e-2x 
B. y = e6x + e2x 
C. y = - e6x + e2x 
D. y = e-6x - e-2x 

Mathematics

Determine whether the statements are logically equivalent.(p ? ~q) ? ~(p ? q), p ? (p ? q)

A. Equivalent B. Not equivalent

Mathematics

First, use front-end rounding to round each number and estimate the answer. Then, find the exact answer.Chi bought 2 items at Lucky Pete's market. She bought a pound of butter for $0.50 and a gallon of milk for $2.69. What was the total amount that she paid for both of these items?

A. Estimate: $ 4; exact:  $1.5 B. Estimate: $ 5; exact:  $1.5 C. Estimate: $ 4; exact:  $3.19 D. Estimate: $ 3; exact:  $3.19

Mathematics