A force F(x)=(−5. 0x 2 7. 0x)N acts on a particle. (a) How much work does the force do on the particle as it moves from x=2. 0m to x=5. 0m?? (b) Picking a convenient reference point of the potential energy to be zero at x=[infinity], find the potential energy for this force.

The scatter plot graph shows the average annual income for a certain profession based on the number of years of experience which of the following is most likely to be the equation of the trend line for this set of data? a. i=5350e +37100 b. i=5350e-37100 c. i=5350e d. e=5350e+37100

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.