Solve the problem.The grade resistance F of a car traveling up or down a hill is modeled by the equation F = W sin ?, where W is the weight of the car and ? is the angle of the hill's grade (? > 0 for uphill travel, ? < 0 for downhill travel). What is the grade resistance (to the nearest pound) of a 3000-lb car traveling uphill on a 3° grade ()?

A. 157 lb
B. 3003 lb
C. -3003 lb
D. -157 lb


Answer: A

Mathematics

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Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum , using the indicated point in the kth subinterval for ck.f(x) = -2x - 1, [0, 2], left-hand endpoint

A.

B.

C.

D.

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Find the required part of the geometric sequence.Find a formula for the nth term of a geometric sequence with third term -  and sixth term - .

A. an = - 1 + 
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C. an = - 1
D. an =  + (n - 1)

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Answer the question.The binomial 64x2 + 256 is the sum of two squares that can be factored. Why is this possible?

What will be an ideal response?

Mathematics

Solve the problem.A system for tracking ships indicated that a ship lies on a hyperbolic path described by  The process is repeated and the ship is found to lie on a hyperbolic path described by  If it is known that the ship is located in the first quadrant of the coordinate system, determine its exact location.

A. (-6, -4) B. (4, 6) C. (6, 4) D. (-4, -6)

Mathematics