At most nate can run 0.1 of a mile in a minute. if he is given 13.9 minutes to run as far as he can, how many miles dan nate run in that time?

(can you explain what to do)

Aparking lot is to be 400 feet wide and 370 feet deep. how many standard-sized cars fit in this lot considering a double-loaded (w4) two way traffic set up, an angle of 90° and a sw of 9’ 0’’? (do not consider handicapped parking spaces, and consider 15’ for turning aisles). show your work.

The ratio of men to women working for a company is 4 to 5 . if there are 90 women working for the company, what is the total number of employees?

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).