Given the position function s(t), s(t) = t2 + 3t + 1, where s is measured in meters and t is in seconds, find the velocity and acceleration of the particle at t = 4 seconds. (5 points) 11 m/sec; 2 m/sec2 2 m/sec; 0 m/sec2 11 m/sec; 0 m/sec2 12 m/sec; 2 m/sec2

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1,find(f+g)(x)

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

Find the distance between (7,-6) and (-3,-9)