Let R be the rectangle consisting of all points (x, y) such that 2 ? x ? 3, 0 ? y ? 2. Calculate Enter just an integer.

Fill in the blank(s) with the appropriate word(s).


Answer: 7

Mathematics

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A company installs 5,000 light bulbs. The lifetimes of the lightbulbs are approximately normally distributed with a mean of 500 hours and a standard deviation of 100 hours. Find the approximate number of bulbs that can be expected to last the indicated amount of time.Between 290 hours and 500 hours

A. 2,410 B. 2,913 C. 2,413 D. 2,911

Mathematics

If AB = 17 cm = , what is the perimeter of ?ABC?


(a) 24 cm
(b) 51 cm
(c) 61 cm
(d) 34 cm

Mathematics

Solve the problem.The graph of y = f(x) gives the speed limit y along a rural highway after traveling x miles. (i) Evaluate f(12), f(33), and f(36). (ii) At what x-values is the graph discontinuous?

A. 60, 60, 75; f(6), f(12), f(18), f(36), and f(42) B. 75, 67.5, 75; f(12), f(18), f(30), f(36), and f(42) C. 67.5, 75, 90; f(6), f(12), f(18), f(30), and f(36) D. 60, 75, 75; f(3), f(12), f(24), f(30), and f(36)

Mathematics

Find f(x) and g(x) such that h(x) = (f ? g)(x).h(x) =  + 1

A. f(x) = , g(x) = 1
B. f(x) = , g(x) =  + 1 
C. f(x) = x, g(x) =  + 1 
D. f(x) = x + 1, g(x) = 

Mathematics