Given the training examples with x=[x()1,x()2]∈ℝ2 above, where a boundary between the positively-labeled examples and the negatively-labeled examples is an ellipse , which of the following feature vector(s) phi(x) will guarantee that the training set {(phi(x()),y()),=1,…,} (where y() are the labels) are linearly separable?

Ou have a 20-ounce bottle of juice. you pour out 14 of the bottle to share with a friend. if you pour out 3 ounces for yourself, what fraction of the 20 ounces will be left in the bottle? clear check 35 25 12 1320

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 9 + 12x + 4x^2