Solve the problem.Jo and Nancy use a metal alloy that is 22% copper to make jewelry. How many ounces of a 18% alloy must be mixed with a 28% alloy to form 90 ounces of the desired alloy?

A. 56 ounces
B. 36 ounces
C. 41 ounces
D. 54 ounces


Answer: D

Mathematics

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Solve the problem.A solar station is to be built at ground level on the east-west line between two buildings as shown below. The distance between the two buildings is 100 meters, the height of the taller building is  and the height of the smaller building is 40 meters. How far from the taller building should the station be placed in order to maximize the number of hours it will be in the sun on a day when the sun passes directly overhead? Note that  ? = ? - cot-1   - cot-1 

style="vertical-align: -17.0px;" />and find the value of x which maximizes ?.

A. 52.3 meters
B. 53.9 meters
C. 47.7 meters
D. 46.1 meters

Mathematics

Find the volume of the cone. Use ? ? 3.14.Find the volume of a cone with the following dimensions: r = 3 in., h = 19 in.Round your answer to the nearest tenth if necessary.

A. V ? 268.5 in.3 B. V ? 358 in.3 C. V ? 179 in.3 D. V ? 119.3 in.3

Mathematics

For the curve given by r(t) = (2sint, 5t, 2cost), find the unit normal vector.

What will be an ideal response?

Mathematics

Find the special products using patterns.(c + d)(c - d)

A. c2 - 2cd - d2 B. c2 + d2 C. c2 - cd + d2 D. c2 - d2

Mathematics