Solve the problem.Sketch a continuous curve y = f(x) with the following properties: f(2) = 3; f"(x) > 0 for x > 4; and f"(x) < 0 for x < 4 .

What will be an ideal response?


Answers will vary. A general shape is indicated below:


Mathematics

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Find the area of the triangle whose sides have lengths 13 cm, 14 cm, and 15 cm.

What will be an ideal response?

Mathematics

Use the formula for  to solve.In a contest in which 7 contestants are entered, in how many ways can the 5 distinct prizes be awarded?

A. 84 B. 2520 C. 42 D. 21

Mathematics

Find the mean, median, mode, and midrange for the given data. Round to the nearest tenth if necessary.

A. mean = 23.2, median = 22.4, mode = 22.4, midrange = 24.15 B. mean = 23.2, median = 22.4, mode = 22.4, midrange = 6.7 C. mean = 23.2, median = 24.8, mode = 22.4, midrange = 24.15 D. mean = 23.7, median = 22.4, mode = 27.5, midrange = 6.7

Mathematics

Find the exact value of the expression using a sum or difference identity.sin 255°

A.
B.
C.
D.

Mathematics