Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function.P(x) = 8x5 - 9x4 + 3x3 - 4

A. 1 positive; 1 or 3 negative
B. 0, 2, or 4 positive; 0 negative
C. 1 or 3 positive; 1 or 3 negative
D. 1 or 3 positive; 0 negative


Answer: D

Mathematics

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Solve the problem.The amount of energy collected by a solar panel depends on the intensity of the sun's rays and the area of the panel. Let the vector I represent the intensity, in watts per square centimeter, having the direction of the sun's rays. Let the vector A represent the area, in square centimeters, whose direction is the orientation of a solar panel. See the figure. The total number of watts collected by the panel is given by  Suppose I =  and A = 

style="vertical-align: -4.0px;" />. (i) Find  and and interpret the meaning of each; (ii) Compute W and interpret its meaning; (iii) If the solar panel is to collect the maximum number of watts, what must be true about I and A? 

A. (i) = 0.081; the intensity of the sun's rays is approximately 0.081 W/cm2 = 583; the area of the solar panel is approximately 583 cm2.
(ii) W = 47; 47 watts of energy is collected. 
(iii) Vectors  I and should be parallel with the solar panels facing the sun.
B. (i) = 0.057; the intensity of the sun's rays is approximately 0.057 W/cm2 = 400; the area of the solar panel is approximately 400 cm2.
(ii) W = 47; 47 watts of energy is collected. 
(iii) Vectors  I and should be orthogonal with the solar panels at a 45° angle to the sun.
C. (i) = 0.081; the intensity of the sun's rays is approximately 0.081 W/cm2 = 583; the area of the solar panel is approximately 583 cm2.
(ii) W = 41; 41 watts of energy is collected. 
(iii) Vectors  I and should be parallel with the solar panels facing the sun.
D. (i) = 0.007; the intensity of the sun's rays is approximately 0.007 W/cm2 = 340,000; the area of the solar panel is approximately 340,000 cm2.
(ii) W = 41; 41 watts of energy is collected. 
(iii) Vectors  I and should be perpendicular with the solar panels at a 90° angle to the sun.

Mathematics

Graph the circle if possible.(x - 3)2 + y2 = 25

A.

B.

C.

D.

Mathematics

Find the product and simplify. Assume all variables represent nonnegative real numbers.(3 - 10 )

A. 28
B. -2
C. 18 - 10
D. -2

Mathematics

Change the hexadecimal number to binary form.

Fill in the blank(s) with the appropriate word(s).

Mathematics