A particle, initially at rest, moves along the x-axis so that it’s acceleration at any time t>0 is given by a(t)=12t^2-4. The position of the particle when t=1 is x(1)=3 A) find the values of t for which the particle is at rest.
B) write an expression for the position X(t) of the particle at any time t>or equal to 0.
C) Find the total distance traveled by the particle from t=0 to t=2.

Select the correct answer. joshua likes to read. he read 6 books when he was 6 years old. every year he doubled the number of books he read the previous year. how many total books did he read between the ages of 6 and 10? a. 60 b. 90 c.186 d.187

Colby and jaquan are growing bacteria in an experiment in a laboratory. colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. jaquan starts with 80 of a different type of bacteria that doubles every 3 hours. let x equal number of days. colbys experiment follows the model: a.) y=50*2^x b.) y=50*2^8x c.) y=50*2^12x jaquans experiment follows the model: a.)80*2^x b.)80*2^8x c.)80*2^12x

3. a sum of $2700 is to be given in the form of 63 prizes. if the prize is of either $100 or $25, find the number of prizes of each type.