Todd plans to run at least 5 miles each week for his health. has a circular route in the neighborhood to run. Once around that route is 420 yards. If runs that route 30 times during the​ week, will he cover at least 5 ​miles? Explain.

Enter the number of complex zeros for the polynomial function f(x) = x 4+ 5x² +6

Suppose a store sells an average of 80 cases of soda per day. assume that each case contains 24 cans of soda and that the store is open 10 hours per day. find the average number of soda that the store sells per hour.

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.