Solve the problem.Dave, Doug, and Cindy want to divide a cake fairly using the lone chooser method. Cindy gets to be the chooser and Dave and Doug are the dividers, with Dave having to make the first division of the cake into two pieces. Suppose that x% represents the value of Dave's share (to Dave), y% represents the value of Doug's share (to Doug), and z% represents the value of Cindy's share (to Cindy). Assuming each player plays the game correctly, which of the following statements is true?
A. x% must be 
%; y must be bigger than x; z must be bigger than or equal to y.
B. y must be bigger than or equal to x; z must be bigger than or equal to y.
C. x% must be 
%; y% must be 
%; z% must be more than 
%.
D. x% + y% + z% = 100%
E. none of these
Answer: E
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Convert from dollars to cents.$0.08
A. 8¢ B. 0.8¢ C. 800¢ D. 80¢
Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = ex+y
A. Domain: all points in the xy-plane; range: all real numbers; level curves: lines x + y = c B. Domain: all points in the xy-plane; range: real numbers z > 0; level curves: lines x + y = c C. Domain: all points in the first quadrant of the xy-plane; range: all real numbers; level curves: lines x + y = c D. Domain: all points in the first quadrant of the xy-plane; range: real numbers z > 0; level curves: lines x + y = c
Solve.In an experiment with a laser beam, the path of a particle orbiting an object is described by the equation 
, where x and y are measured in centimeters from the center of the object. The laser beam follows the path 
. Find the coordinates at which the laser will illuminate the particle (that is, when the particle will pass through the laser beam).
A. (7, 0) and (0, -6) B. (-6, 0) and (0, 7) C. (-7, 0) and (0, 6) D. (6, 0) and (0, -7)
Find the partial fraction decomposition for the rational expression.
A. 
+ 
B. 
+ 
C. 
- 
D. 
- 