Solve.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 455.7 million miles and a mean distance of 458 million miles, write an equation for the orbit of the planet around the sun.

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


Answer: B

Mathematics

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Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.The numbers below represent the test scores of nine students. 28, 68, 27, 84, 35, 26, 83, 55, 27Find the standard deviation.

A. 26.5 B. 6.0 C. 24.8 D. 23.3

Mathematics

Translate to an equation and solve. less than 1 times k is 

A.  ? k =  ;  
B.  ? k =  ;  
C. 1 ? k -  =  ;  
D. 1 ? k -  =  ;  

Mathematics

Solve the problem.Show that df = -  dx +  dy -  dz is exact.

What will be an ideal response?

Mathematics

Find the probability.A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 3?

A.
B.
C. 16
D.

Mathematics