Find the angle between vectors v and w. Round the answer to the nearest tenth of a degree.v = , w = 

A. -29.7°
B. 7.1°
C. 119.7°
D. 82.9°


Answer: B

Mathematics

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Solve the problem.The hydrogen ion concentration of a substance is about 8.7 × 10-7 moles per liter. Find the pH. Round to the nearest tenth. Use the formula pH = -log [H+].

A. 6.5 B. -7.9 C. 6.1 D. 7.9

Mathematics

Find the vertex, focus, and directrix of the parabola.x2 = 8y

A. vertex: (0, 0)
focus: (-2, 0)
directrix: x = 2

B. vertex: (0, 0)
focus: (2, 0)
directrix: x = -2

C. vertex: (0, 0)
focus: (0, 2)
directrix: y = -2

D. vertex: (0, 0)
focus: (0, -2)
directrix: y = 2

Mathematics

Sketch the right triangle and find the length of the side not given. If necessary, approximate the length to the nearest thousandth.leg = 5, leg = 12

A. 2.646 B. 13 C. 10.909 D. 4.123

Mathematics

Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.2 + 2 ?  + 2 ? 2 + ... + 2 ? n - 1 = 

What will be an ideal response?

Mathematics