A liter of water contains about 3.35 x 10^25 molecules. A certain river discharges about 2.3 x 10^8 L of water every second. About how many molecules does the river charge every minute? Write your answer in scientific notation.

Solve for x -2.3(r - 1.2 ) = -9.66 enter you answer as decimal.

Asquare picture with sides of 32 inches is to be mounted on a square mat with sides of 52 inches. find the area of the mat that will remain uncovered by the picture.

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.