Solve the problem.A sensor light installed on the edge of a home can detect motion for a distance of 
in front and with a range of motion of 
Over what area will the sensor detect motion and become illuminated? Round your answer to two decimal places.
A. 12,468.98 ft2
B. 12,469.08 ft2
C. 6234.39 ft2
D. 6234.49 ft2
Answer: D
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Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = i + 2j, w = 3i + j
A. v1 = 
(3i + j), v2 = - 
i + 
j
B. v1 = 
(3i + j), v2 = 
i + 
j
C. v1 = 
(3i + j), v2 = 
i + 
j
D. v1 = 
(3i + j), v2 = - 
i + 
j
Evaluate the expression for the given values of the variables, if possible.
, for g = 14, h = 7
A. 14 B. -2 C. 3 D. 6
Write the binomial expansion of the expression.(3x2 - y)5
A. 243x10 + 405x8y + 270x6y2 + 90x4y3 + 15x2y4 + y5 B. - 243x10 + 405x8y - 270x6y2 + 90x4y3 - 15x2y4 + y5 C. 243x10 - 405x8y - 270x6y2 - 90x4y3 - 15x2y4 - y5 D. 243x10 - 405x8y + 270x6y2 - 90x4y3 + 15x2y4 - y5
A boy is riding a scooter whose wheels are 5 inches in diameter. If the wheels rotate at 550 rpm, find the speed at which he is traveling in mi/h.
(a) 6.6 mi/h (b) 5.5 mi/h (c) 9.3 mi/h (d) 11 mi/h (e) 8.2 mi/h