The following figure is composed of one large and three small semicircles. Find the shaded area enclosed by the four semicircles. Give the exact answer.


12? feet2

Mathematics

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Provide an appropriate response.Students in several classes are asked to rank their choices for days to come to campus to make presentations as a final project. There are three days where a big enough venue is available for each of the classes, Monday (M), Tuesday (T) and Friday (F). The results are shown in the following preference table.Number of Votes 120654015First ChoiceFFTMSecond ChoiceTMFTThird ChoiceMTMF??????a. How many students voted? b. How many students selected the days in the order M, T, F?c. How many students selected Friday as their first choice for a presentation day?d. How many students selected Tuesday as their first choice for a presentation day?

A. a. 240, b. 40, c. 185, d. 15 B. a. 240, b. 15, c. 185, d. 40 C. a. 240, b. 15, c. 65, d. 15 D. a. 240, b. 40, c. 120, d. 40

Mathematics

Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. ? 0

A. (-?, -8] or [-4, ?)

B. (-8, -4]

C. (-?, -8) or [-4, ?)

D. [-4, ?)

Mathematics

Change the exponential expression to an equivalent expression involving a logarithm.65 = 7776

A. log6 7776 = 5 B. log7776 6 = 5 C. log1/5 7776 = 6 D. log5 7776 = 6

Mathematics

Evaluate the function.f(x) = (x - 4)(x + 2); Find f(-5).

A. 27 B. 3 C. 63 D. 7

Mathematics