A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.a1 = 1, an+1 = 2an
A. 1, 2, 4, 8, 16
B. 2, 4, 8, 16, 32
C. 2, 3, 4, 5, 6
D. 1, 3, 5, 7, 9
Answer: A
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Solve the problem.Peter's Construction Company needs to cut an arch for the top of a doorway. The arch needs to be 14 feet wide and 4 feet high. The arch will be a section of a circle, drawn using a stretched string with a pencil attached at the end as a compass. Using the coordinate system as shown in the drawing, find the coordinates of the point that would be the center of the circle. Also find the radius of the circle. Round to the hundredths place.?a = 7
A. (0, -3.79); 7.79 B. (0, -3.88); 7.88 C. (0, -41.25); 45.25 D. (0, -4.13); 8.13
Graph the equation. Find seven solutions in your table of values for the equation by using integers for x, starting with -3 and ending with 3.y = 1 - x2
A.
B.
C.
D.
Solve the problem. Assume that relative maximum and minimum values are absolute maximum and minimum values.A company that manufactures tennis rackets has determined that the demand functions for the two types of rackets they produce are given by and
where q1 is the price of the standard tennis racket, q2 is the price of the competition tennis racket, x is the weekly demand for standard rackets, and y is the weekly demand for competition rackets. How many of each type of racket must be produced to maximize revenue?
A. 26 standard rackets and 25 competitive rackets B. 26 standard rackets and 26 competitive rackets C. 25 standard rackets and 26 competitive rackets D. 25 standard rackets and 25 competitive rackets
Solve the problem.Suppose the demand for a certain item is given by , where p represents the price of the item. Find D'(p), the rate of change of demand with respect to price.
A. D'(p) = -8p2 + 7 B. D'(p) = -4p + 7 C. D'(p) = -4p2 + 7 D. D'(p) = -8p + 7