Factor the expression. Express your answer so that only positive exponents occur. x8/5 + x2/5

A. x2/5(x6/5)
B. x2/5(x6/5 - 1)
C. x2/5(x6/5 + x)
D. x2/5(x6/5 + 1)


Answer: D

Mathematics

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Solve the problem.A plane flying the 3057-mile trip from City A to City B has a 30-mph tailwind. The flight's point of no return is the point at which the flight time required to return to City A is the same as the time required to continue to City B. If the speed of the plane in still air is 430 mph, how far from City A is the point of no return? Round your answer to the nearest mile.

A. 2986 miles B. 1529 miles C. 1422 miles D. 1635 miles

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Verify the identity.cos  = -sin x

What will be an ideal response?

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Find the derivative of the function.y = 2 cos 2x

A.  = 2 sin 2x
B.  = 4 sin 2x
C.  = -4 sin 2x
D.  = -2 sin 2x

Mathematics

A small home business creates muffins, bones, and cookies for dogs. In addition to other ingredients, each muffin requires 2 units of beef, 3 units of chicken, and 2 units of liver. Each bone requires 1 unit of beef, 1 unit of chicken, and 1 unit of liver. Each cookie requires 2 units of beef, 1 unit of chicken, and 1.5 units of liver. Find the numbers of muffins, bones, and cookies that the company can create with the given amounts of ingredients. ? 900 units of beef 700 units of chicken 800 units of liver ?

A. 200 muffins, 500  bones, 200 cookies B. 200 muffins, 500  bones, 0 cookies C. 0 muffins, 0  bones, 700 cookies D. 500 muffins,  0 bones, 200 cookies E. 0 muffins, 500  bones, 200 cookies

Mathematics