Suppose you have a dataset { x } = { ( x ( 1 ) , x ( 2 ) ) } consisting of 2-dimensional vectors. you observe that var ( { x ( 1 ) } ) = 9 and var ( { x ( 2 ) } ) = 4 and also that cov ( { ( x ( 1 ) , x ( 2 ) ) } ) = 6 . what is covmat ( { x } ) ? find the eigenvalues of covmat ( { x } ) . what do the eigenvalues say about the shape of the blob of the dataset { x } ?

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? 1. define a variable for the situation. 2. write an inequality that represents the situation. 3.solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. 4. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

Simplify. −4x^2 (5x^4−3x^2+x−2) −20x^6−12x^4+8x^3−8x^2 −20x^6+12x^4−4x^3+8x^2 −20x^8+12x^4−4x^2+8x −20x^6+12x^4+4x^3−8x^2

The angles in a triangle are represented by 5x, 8x, and 2x+9. what is the value of ? a.10.8 b.11.4 c.9.7 d.7.2