An environmental agency is analyzing water samples from 81 lakes for pollution. Five of the lakes have dangerously high levels of dioxin. Six of the lakes are randomly selected from the sample. Using technology, how many ways could one polluted lake and five non-polluted lakes be chosen?

If 1/√5+1/√5+1=p+q√r , find the values of p, q and r

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.

You spend $13 to rent five movies for the weekend. new releases cost $3 and regular movies rent for $2. how many of the movies you rented were new releases and how many were regular movies? answer by substitution of systems.