There are a total of 114 oak and pine trees on a piece of land. There are 26 fewer oak trees than pine trees. There is a regulation that the number of oak trees on this piece of land cannot exceed one-third of the total number of trees. Find how many oak and pine trees are on this piece of land and determine whether the solution is viable or nonviable. There are 44 oak trees and 70 pine trees. The solution is nonviable.

There are 44 oak trees and 70 pine trees. The solution is viable.

There are 36 oak trees and 78 pine trees. The solution is nonviable.

There are 36 oak trees and 78 pine trees. The solution is viable.

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

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.

What is the slope of the line that passes through the points (–9, 2) and (0, 4)? the slope of the line is