Solve the problem.Mary finds 8 fish at a pet store that she would like to buy, but she can afford only 5 of them. In how many ways can she make her selection? How many ways can she make her selection if he decides that one of the fish is a must?

A. 336; 210
B. 3,360; 420
C. 6,720; 840
D. 56; 35


Answer: D

Mathematics

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Find the indicated derivative for the given vector-valued function .Find r(t) for r(t) = 3t4i- 8t2j + 8tk.

A. r(t) = 36t2- 16x+ 8k
B. r(t) = 12t2- 16tj
C. r(t) = 12t2- 16+ 8k
D. r(t) = 36t2- 16j

Mathematics

Decide whether the figure is convex or not convex.

A. Convex B. Not convex

Mathematics

Determine the real zeros of the polynomial and their multiplicities. Then decide whether the graph touches or crosses the x-axis at each zero.f(x) = 5(x + 2)(x - 3)2

A. -2, multiplicity 1, touches x-axis; 3, multiplicity 2, crosses x-axis B. 2, multiplicity 1, touches x-axis; -3, multiplicity 2, crosses x-axis C. -2, multiplicity 1, crosses x-axis; 3, multiplicity 2, touches x-axis D. 2, multiplicity 1, crosses x-axis; -3, multiplicity 2, touches x-axis

Mathematics

Use your compass and straightedge to construct an angle of 105°.

What will be an ideal response?

Mathematics