Provide an appropriate response.Fill in the blanks to complete the statement.  The graph of P(x) = -0.3(x - 10)2 - 5 is a parabola opening  and is  than that of y = x2.

A. up; narrower
B. up; wider
C. down; narrower
D. down; wider


Answer: D

Mathematics

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Construct a truth table for the statement.(p ? ~q) ? t

A.

TTTF
T T F F
T F T T
T F F F
F T T F
F T F F
F F T F
F F F F
B.
TTTF
T T F F
T F T F
T F F F
F T T F
F T F T
F F T T
F F F F
C.
TTTF
T T F F
T F T F
T F F F
F T T F
F T F T
F F T T
F F F T
D.
TTTT
T T F T
T F T T
T F F F
F T T F
F T F T
F F T T
F F F T

Mathematics

Write the number as the product of prime factors.828

A. 2 ? 2 ? 2 ? 3 ? 3 ? 23 B. 2 ? 2 ? 3 ? 3 ? 23 C. 2 ? 2 ? 2 ? 2 ? 23 D. 3 ? 3 ? 3 ? 3 ? 23

Mathematics

Solve the problem.Ignoring friction, the time , t (in seconds), required for a block to slide down an inclined plane is given by the formula  where b is the length of the base in feet and  per second is the acceleration of gravity. How long does it take a block to slide down an inclined plane with a base of 12 feet at an angle of  Round your answer to three decimal places.

A. 0.354 sec B. 6.962 sec C. 0.868 sec D. 1.227 sec

Mathematics

Find the equation of the line through the given pair of points in standard form using only integers.(-3, 0) and (0, 4)

A. 4x - 3y = 12 B. 4x - 3y = -12 C. 4x + 3y = -12 D. -4x - 3y = -12

Mathematics