Let p represent "I eat too much," let q represent "I exercise," and let r represent "the food is good." Write the compound statement in symbols.If the food is good or I eat too much, then I exercise.

A. (r ? p) ? q
B. (r ? p) ? q
C. r ? (p ? q)
D. r ? p ? q


Answer: B

Mathematics

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The mean is sometimes called the arithmetic mean to distinguish it from other possible means. For example, a different mean, called the geometric mean (G.M.), is used in business and economics for finding average rates of change, average rates of growth, or average ratios. This mean is defined to be the nth root of the product of the numbers. For example, the geometric mean of the numbers 4, 5, and 6 isFind the arithmetic and geometric means for the numbers 2, 4, 5, 7, 7, 8 and 11.Round your answers to the nearest hundredth, if necessary.

The arithmetic mean is__________The geometric mean is__________ What will be an ideal response?

Mathematics

Evaluate the expression and simplify completely. ? 

A.
B.
C.
D.

Mathematics

Find an equation for the ellipse described. Graph the equation.Center at (-5, 2); focus at (-7, 2); contains the point (-10, 2)

A.  +  = 1

B.  +  = 1

C.  +  = 1

D.  +  = 1

Mathematics

Solve the problem.The work W (in joules) done by a force F (in newtons) moving an object through a distance x (in meters) is given by W = . Find a formula for W, if F = kx and k is a constant.

A. W = k + C
B. W =  + C
C. W = kx2 + C
D. W =  + C

Mathematics