Solve the problem.The 9 ft wall shown here stands 30 feet from the building. Find the length of the shortest straight beam that will reach to the side of the building from the ground outside the wall.

A. 53.3 ft
B. 52.3 ft
C. 39 ft
D. 51.3 ft


Answer: B

Mathematics

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Use integration by parts to establish a reduction formula for the integral.

A.  = - 2xn-1 e- x2 - 2(n - 1) 
B.  = n xn-1 e- x2 + 2n 
C.  = - xn e- x2 +  
D.  = - xn-1 e- x2 +  

Mathematics

Find the probability.The distribution of B.A. degrees conferred by a local college is listed below, by major.  Major FrequencyEnglish2073Mathematics2164Chemistry318Physics856Liberal Arts1358Business1676Engineering    8689313What is the probability that a randomly selected degree is in English or Mathematics? Round your answer to three decimal places.

A. 0.424 B. 0.517 C. 0.010 D. 0.455

Mathematics

Find the expectation of a dice with 4 sides. The sides are numerated from 1 to 4 consistently.

a.  2.5 b.  0.25 c.  1 d.  10

Mathematics

Find the horizontal asymptote, if any, of the graph of the rational function.f(x) = 

A. y = 0 B. y = - 2 C. y = 1 D. no horizontal asymptote

Mathematics