Write the shaded area in the figure as a mixed number and as an improper fraction.
A. 2
; 
B. 1
; 
C. 1
; 
D. 2
; 
Answer: C
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Answer the question.You are hiking on a mountainside, following a trail that slopes downward for a short distance and then begins to climb again. At the bottom of this local "dip", what can be said about the relationship between the trail's direction and the contour of the mountainside? [Hint - Think of the trail as a constrained path, g(x, y) = c, on the mountainside's surface, altitude = f(x, y). Consider only infinitesimal displacements.]
A. At the bottom of the dip, the trail is headed along the mountain's contour line which passes through that point. B. At the bottom of the dip, the trail is headed perpendicular to the mountain's contour line which passes through that point. C. At the bottom of the dip, the trail is headed in the direction of the mountain's steepest ascent. D. The mountainside rises in all directions relative to the dip.
Multiply the polynomials using a special product formula. Express the answer as a single polynomial in standard form.(x + 4)3
A. x3 + 12x2 + 12x + 64 B. x3 + 12x2 + 48x + 64 C. x3 + 4x2 + 8x + 64 D. x3 + 12x2 + 8x + 64
Find the center and radius of the the circle.(x + 3)2 + (y + 6)2 = 16
A. Center: (-3, 6); Radius: 4 B. Center: (-3, -6); Radius: 4 C. Center: (3, 6); Radius: 4 D. Center: (3, -6); Radius: 4
Solve the problem.Your bank account has $84 in it when you write checks for $28, 
and $53. You then deposit 
and 
. How much is in the account? Are you overdrawn?
A. $73, no B. $-148, yes C. $20, no D. $148, no