The Falls Incline Railway in Niagara Falls, Ontario, Canada is an inclined railway that was designed to carry people from the City of Niagara Falls to Queen Victoria Park. The railway is approximately 170 feet long with a 40% uphill grade (see figure). Using the origin of a rectangular coordinate system as the base of the inclined plane, find the equation of the line that models the railway track.
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Answer: B
Mathematics
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Without graphing, determine whether the graph of the quadratic function opens up or opens down. Also, determine of the graph will be wider or narrower than the graph of y = x2.f(x) = -4 + 5x2 - 3
A. down, narrower B. up, narrower C. down, wider D. up, wider
Mathematics
Find a formula for the nth term of the sequence.0, 0, 2, 2, 0, 0, 2, 2 (alternating 0's and 2's in pairs)
A. an = 1 - (-1)n(n-1) B. an = 1 + (-1)n(n+1) C. an = 1 + (-1)n(n-1) D. an = 1 + (-1)n(n + 1)/2
Mathematics
Graph.f(x) = 3x2 + 2x - 5
A.
B.
C.
D.
Mathematics
For the transition matrix, find the probability that state 2 changes to state 4 after 5 repetitions of the experiment.
A. 0.13385 B. 0.26600 C. 0.00032 D. none of these
Mathematics