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 2100-lb car traveling downhill on a 5° grade (? = -5°)?
A. 183 lb
B. -183 lb
C. -2105 lb
D. 2105 lb
Answer: B
Mathematics
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Factor by grouping. If prime, so state.12x2 - 15xy + 8xy - 10y2
A. (12x + 2y)(x - 5y) B. (3x + 2)(4x - 5) C. (3x - 2y)(4x - 5y) D. (3x + 2y)(4x - 5y)
Mathematics
Find the domain of the rational expression. 
A. {x|x is a real number and x ? 0} B. {x|x is a real number} C. {x|x is a real number and x ? 5} D. {x|x is a real number and x ? 5 and x ? 0}
Mathematics
Use coordinate vectors to determine whether the given polynomials are linearly dependent in P2. Let B be the standard basis of the space P2 of polynomials, that is, let B = 
. 1 + 2t + t2, 3 - 9t2, 1 + 4t + 5t2
A. Linearly independent B. Linearly dependent
Mathematics
Find the given power. Write answer in rectangular form.
6
A. -1 B. 1 C. -i D. i
Mathematics