Solve the problem.Let (a, b) and (c, d) be two points in the first quadrant, and let ? be the angle between the line segment connecting (a, b) with the origin and the line segment connecting (c, d) with the origin. It can be shown thatcos ? =
.Find ? if
and
style="vertical-align: -4.0px;" /> Give your answer in degrees rounded to the nearest hundredth.
A. 111.50°
B. 55.68°
C. 40.43°
D. 78.62°
Answer: C
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Solve the problem.Rats are kept in a cage with two compartments (A and B). Rats in A move to B with probability 0.7. Rats in B move to A with probability 0.2. Find the long-term trend for rats in each compartment. Round numbers to the nearest thousandth.
A.
B.
C.
D.
Find the indicated sum.
A.
B.
C. -
D. 54
Solve the problem.The half-life of plutonium-234 is 9 hours. If 30 milligrams is present now, how much will be present in 3 days? (Round your answer to three decimal places.)
A. 23.811 B. 0.117 C. 2.976 D. 17.23
Add or subtract as indicated. Express the answer as a single polynomial in standard form.(3x4 - 4x3) + (8x4 - 3x3)
A. 4x7 B. 4x14 C. 11x4 - 7x3 D. 11x8 - 7x6