Solve the problem.Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected net winnings?

A. -$1.00
B. $0.00
C. -$0.40
D. -$0.50


Answer: D

Mathematics

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Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 49t2, y = 7t, -? ? t ? ?

A. y = x2

Entire parabola, right to left (from first quadrant to origin to second quadrant)
B. x = y2

Entire parabola, top to bottom (from first quadrant to origin to fourth quadrant)
C. y = x2

Entire parabola, left to right (from second quadrant to origin to first quadrant)
D. x = y2

Entire parabola, bottom to top (from fourth quadrant to origin to first quadrant)

Mathematics

Find the absolute value of the complex number.z = 5 + 7i

A.
B. 2i
C. i
D. 2

Mathematics

Write the partial fraction decomposition of the rational expression.

A.  +  + 
B.  +  + 
C.  +  + 
D.  + 

Mathematics

Convert as indicated. If necessary, round to the nearest tenth of a degree.A weather forecaster has predicted a high temperature of 37°C for tomorrow. Find this temperature in degrees Fahrenheit.

A. 98.6°F B. -11.4°F C. 34.6°F D. 52.6°F

Mathematics