Perform the indicated operations and simplify the result. Leave the answer in factored form. ? 

A.
B.
C.
D.


Answer: B

Mathematics

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Determine the values of the given functions as indicated rounded to four decimal places. Find sin 15° by using 15° = 60° - 45°.

A. 0.2679 B. 0.9659 C. 0.7071 D. 0.2588

Mathematics

Solve the problem.The orbit of a planet around a sun is an ellipse with the sun at one focus. The aphelion of a planet is its greatest distance from the sun, its perihelion is its shortest distance, and its mean distance is the length of the semimajor axis of the elliptical orbit. If a planet has a perihelion of 330.6 million miles and a mean distance of 333 million miles, write an equation for the orbit of the planet around the sun.

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Provide an appropriate response.Years ago, people used fountain pens. The ink was very "wet" and so a blotter was used to absorb "wet" ink left on the surface of the paper. Suppose you have a single sheet of graph paper and that you have just used your fountain pen to graph the one-to-one function f. Explain how, if the ink is "wet", you could now obtain the graph of f-1 using only your sheet of graph paper. (Hint: Fold the sheet of graph paper.)

What will be an ideal response?

Mathematics

A standard deck of cards contains 52 cards. There are 13 cards of each of the four suits: clubs, diamonds, hearts, and spades. In each suit, there is one card of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace.One card is dealt from a standard deck. Find the probability of being dealt an 8 of diamonds.

A.
B.
C.
D.

Mathematics