A particle moves along the x -axis so that at time t≥0 its position is given by x(t)=2t3+3t2−36t+50 . What is the total distance traveled by the particle over the time interval 0≤t≤5 ?

Acentral angle measuring 160 degrees intercepts an arc in a circle whose radius is 4. what is the length of the arc the circle formed by this central angle? round the length of the arc to the nearest hundredth of a unit. a) 4.19 units b) 6.28 units c) 12.57 units d) 12.57 square units

Jacob is graphing the line represented by the equation  −6x−5y=12.−6x−5y=12.  he first plots the  x-x-  and  y-interceptsy-intercepts  as follows.    which statement is correct regarding the intercepts on the graph?

Atotal of 505 tickets were sold for a school play they were either adult tickets or student tickets they were 55 more student tickets so than adult tickets how many adult tickets were sold ?