Determine whether the vectors v and w are orthogonal.v = < 3, -9 >, w = < -6, -2 >

A. Orthogonal
B. Not orthogonal


Answer: A

Mathematics

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Solve the problem.The functionE(x) = 0.0033x3 - 0.0046x2 + 0.177x + 1.65gives the approximate total earnings of a company, in millions of dollars, where x = 0 corresponds to 1996, x = 1 corresponds to 1997, and so on. This model is valid for the years from 1996 to 2000. Determine the earnings for 1999.

A. $2.5 million B. $2.23 million C. $2.01 million D. $2.31 million

Mathematics

In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below. In the graph that models this situation, the degree of the vertex that represents island B is

A. 4. B. 3. C. 6. D. 5. E. none of these

Mathematics

Solve the problem.A pilot wants to fly on a bearing of 66.8°. By flying due east, he finds that a 50 mph wind, blowing from the south, puts him on course. Find the airspeed of the plane.

A. 117 mph B. 175 mph C. 58 mph D. 127 mph

Mathematics

Assume a clear day and flat terrain in the nearby region. How far could you see, in miles, from the top of this building whose height is given?

Transamerica Pyramid, San Francisco, h = 853 feet
On Earth, the distance to the horizon is given by , where d is in miles to the horizon and h is in feet above sea level. Please round your answer to the nearest tenth.

A) 44.1 miles
B) 37.8 miles
C) 35.8 miles
D) 39.4 miles
E) 47.4 miles

Mathematics