Use the given transformation to evaluate the integral.   Rwhere R is the parallelogram bounded by the lines    

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A. 5
B. -10
C. 10
D. -5

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Answer: D

Mathematics

Add.73.86 + 3.413 + 7.074 + 4.32

A. 88.667 B. 88.677 C. 89.667 D. 88.767

Graph the function. Show at least one period.y = 4 sin(-4x - ?)

A.

B.

C.

D.

Write an inequality with the same meaning.17 ? x

A. 17 ? x B. x ? 17 C. x > 17 D. x ? 17

Company TKK Corporation, a large conglomerate, has three subsidiaries engaged in producing raw rubber, manufacturing tires, and manufacturing other rubber-based goods. The production of 1 unit of raw rubber requires the consumption of 0.08 unit of rubber, 0.05 unit of tires, and 0.02 unit of other rubber-based goods. To produce 1 unit of tires requires 0.5 unit of raw rubber, 0.09 unit of tires, and 0 units of other rubber-based goods. To produce 1 unit of other rubber-based goods requires 0.2 unit of raw rubber, 0.01 unit of tires, and 0.07 unit of other rubber-based goods. Market research indicates that the demand for the following year will be $400 million for raw rubber, $800 million for tires, and $180 million for other rubber-based products. Suppose the demand for raw rubber

increases by 10%, the demand for tires increases by 20%, and the demand for other rubber-based products decreases by 10%. Find the level of production for each subsidiary in order to satisfy this demand. Round the answers to the nearest tenth, if necessary. a. $198.5 million worth of raw rubber $1,129.7 million worth of tires $1,119.2 million worth of other rubber-based goods b. $1,119.2 million worth of raw rubber $1,129.7 million worth of tires $198.5 million worth of other rubber-based goods c. $689.7 million worth of raw rubber $159.2 million worth of tires $36.5 million worth of other rubber-based goods d. $440 million worth of raw rubber $960 million worth of tires $162 million worth of other rubber-based goods e. $1,138.6 million worth of raw rubber $1,120.1 million worth of tires $237.4 million worth of other rubber-based goods