Find the trigonometric form of the complex number shown below.

-4 + 4i

A. 4
B. 2
C. 8
D. 4
E. 8


Answer: E

Mathematics

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Determine whether the function is a probability density function over the given interval.f(x) = 10x  over 

A. Yes B. No

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Suppose three center cubes are removed from a large 3 x 3 cube and the resulting figure is dipped in red paint. How many cubes have red paint on 1 face? 2 faces? 3 faces? 4 faces? 5 faces? 6 faces? Explain.

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Convert the measurement to degrees Fahrenheit. Round your answer to the nearest tenth of a degree if necessary.143°C

A. 138.8°F B. 289.4°F C. 111.4°F D. 315.0°F

Mathematics

Solve the problem.Suppose an animal feed to be mixed from soybean meal and oats must contain at least 100 lb of protein, 20 lb of fat, and 12 lb of mineral ash. Each 100-lb sack of soybean meal costs $20 and contains 50 lb of protein, 10 lb of fat, and 8 lb of mineral ash. Each 100-lb sack of alfalfa costs $11 and contains 30 lb of protein, 8 lb of fat, and 3 lb of mineral ash. How many sacks of each should be used to satisfy the minimum requirements at minimum cost?

A.  sacks of soybeans and  sacks of alfalfa
B. 2 sacks of soybeans and 0 sacks of alfalfa
C. 0 sacks of soybeans and 2 sacks of alfalfa
D.  sack of soybeans and  sack of alfalfa

Mathematics