Show that the distance measure defined as the angle between two data vectors, x and y, satisfies the metric axioms given on page 70. Specifically, angle between two data vectors is arccos( cos(x, y) ), so d(x, y) = arccos( cos(x, y) )Show for distance measure arccos( cos(x, y) )A) Positivity1) d(x, x) >= 0 for all x and y,2) d(x, y) == 0 onlY if x == y. B) Symmetryd(x, y) == d(y, x) for all x and y. C) Triangle Inequalityd(x, z) < d(x, y) + d(y, z) for all points x, y, and z. D) Explain in simple English the intuition for why would arccos( cos(x, y) ) satisfy the same properties (A, B,C above) as the Euclidean distance.

The average human heart beats 72 beats per minute. how many times does it beat in 15 seconds?

Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?

Gexpressions: practice question 3 of 5 jackson wants to study the popularity of his music video by tracking the number of views the video gets on his website. the expression below represents the total number of views that jackson's video receives n days after he begins tracking the nu views, where b is the rate at which the number of views changes. alb)" select the statement that would accurately describe the effect of tripling a, the initial number of views before jackson beginst the rate at which the number of views changes, b, will triple. the total number of views the video has after n days, a(b)", will not change. the total number of days since jackson begins tracking views, n, will be reduced by one-third. the total number of views the video has after n days, alb)", will triple. submit