1. A ball is thrown upwards with a velocity of 32 ft/sec from the top of a building. The height of the ball, s, in feet can be modeled by s(t) = -16(t + 3) (t-5) or s(t) = -16(t - 1)^2 or s(t) = -16t^2 + 32t + 240 where t is greater than or equal to zero in seconds.
a. Write the form that is most useful when finding the maximum height of the ball.
s(t) = __
b. What is the max height of the ball? ___ When did it occur? ___
c. Write the form that is most useful when finding the time the ball was in the air.
s(t) = __
d. How long was the ball in the air?
e. What is the height of the building?

Mike wants to make meatloaf. his recipe uses a total of 8 pounds of meat. if he uses a 3 to 1 ratio of beef to pork, how much pork will he use? enter your answer as a mixed number in simplest terms.

Suppose that 15 inches of wire cost 60 cents. at the same rate, how much (in cents) will 12 inches of wire cost

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 > ?