Acolony of bacteria is being grown in a 96 cm² area. every 24 hours, the bacteria reproduce and covers twice the area they occupied at the previous day. if after 20 days they covered the whole area, how many days it took to cover an area of 48 cm² ?

Acar with a mass of 600 kg is traveling at a velocity of 10m/s. how much kinetic energy does it have?

Karianne and lucius are analyzing a linear function on a graph. karianne says that unit rate is equal to rate of change, but that slope is calculated differently. lucius says that unit rate, rate of change, and slope are calculated the same way. who is correct? explain your answer.

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.