Aball is thrown upward from the top of a building. the function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds: f(t) = −16t2 + 32t + 384 the average rate of change of f(t) from t = 4 seconds to t = 6 seconds is feet per second

The number of revolutions of two pulleys is inversely proportional to their diameters. if a 24-inch diameter pulley making 400 revolutions per minute is belted to an 8-inch diameter pulley, find the number of revolutions per minute of the smaller pulley.

Select the correct answer from each drop-down menu. let c(g) be the total cost, including shoe rental, for bowling g games at pin town lanes. c(g) = 5g+3 so, c(6) = 8? 33? 30? or 14? this means that for a $6 shoe rental? for $6 per game? for 6 games? for a total cost of $6? , the games are $8 each? total cost is $33? number of games is 14? or total cost is $30? reset next

To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.