The path of an object can be modeled by the function f(t) = 5t^2+ 3 for all t > 0. Find each of the following:
The position of the object at t = 1 is .
The position of the object at t = 3 is .
The average speed of the object over the interval [1, 3] is .

How many kilograms of a 5% salt solution and how many kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution?

Sketch the vector field vector f( vector r ) = 8vector r in the xy-plane. select all that apply. the length of each vector is 8. the lengths of the vectors decrease as you move away from the origin. all the vectors point away from the origin. all the vectors point in the same direction. all the vectors point towards the origin. the lengths of the vectors increase as you move away from the origin.

There were 25 students who answered to a survey about sports. four-fifths of them like football. how many students like football?