Research was done to study the facial expressions of people, since facial expression clearly shows the emotional state of a person. researchers found that people who smiled a lot lived longer than those who didn't smile much.

which statement can be inferred from the passage?

smiling prolongs human life.

smiling is associated with human longevity.

smiling decreases a person's life span.

there is no link between smiling and human longevity.

Jonathan can throw a baseball 10 1/3 yards. his brother joey can throw a baseball 13 1/2 yards. how much father can joey throw the ball?

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i. e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

Which of the following points is a solution to the system of equations shown? y - x = -1 x + y = -5