The slope of an eight-step staircase is 0.6. If each step is 12" deep, how high is each step? What is the total vertical change from the bottom to the top of the staircase? What is the total horizontal change in the staircase?

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7.2" ; 57.6" ; 84"

Mathematics

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Verify that the given equation is an identity.e-4x = cosh 4x - sinh4x

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Mathematics

Provide an appropriate response. A measurement of an object is an estimate. Seven different measurements are taken for an object whose exact measurement is 67 cm. These measurements are 67.3 cm, 65.9 cm, 67.1 cm, 68.3 cm, 66.9 cm, 66.9 cm, and 66.4 cm. On the average, what is the difference in the measurement and the exact measurement of the object? Explain your answers.

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Mathematics

Factor completely.5x2 - 5x - 30

A. 5(x - 2)(x + 3) B. Prime C. 5(x + 2)(x - 3) D. (5x + 10)(x - 3)

Mathematics

The sides in the pair of figures are proportional. Find the missing length(s).

A. x = 10.5 B. x = 16 C. x = 12 D. x = 13.5

Mathematics