Solve the problem.The average daily temperature T of a city in the United States is approximated by T = 55 - 23 cos
(t -30)where t is in days, 1 ? t ? 365, and t = 1 corresponds to January 1. Find the period of T.
Fill in the blank(s) with the appropriate word(s).
365 days
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Find an equation for the tangent to the curve at the given point.y = x - x2, (-4, -20)
A. y = -9x + 16 B. y = 9x + 16 C. y = -7x + 16 D. y = -7x - 16
Angela and Ben want to divide fairly the chocolate-strawberry cake shown below. The total cost of the cake was $6.00. Angela values strawberry three times as much as she values chocolate, while Ben values chocolate twice as much as he values strawberry.
Which of the following is a fair division of the cake?
A. Angela gets the piece shown below, Ben gets the remaining piece.
B. Angela gets the chocolate half, Ben gets the strawberry half.
C. Angela gets the strawberry half, Ben gets the chocolate half.
D. Angela gets the piece shown below, Ben gets the remaining piece.
E. none of these
Find the vertex, focus, and directrix of the parabola.
?
?
A. Vertex: (0,0); Focus: ; Directrix:
B. Vertex: (0,0); Focus: ; Directrix:
C. Vertex: (0,0); Focus: ; Directrix:
D. Vertex: (0,0); Focus: ; Directrix:
E. Vertex: (0,0); Focus: ; Directrix:
Find a unit vector in the direction of u
?
?
A.
B.
C.
D.
E.