Amanufacturer is producing two types of shoes, types a and b. type a cost $4 to produce and takes one hour. type b costs $5 dollars to produce and takes 1/2 hour. type a yields a profit of $10 and type b yields a profit of $12. the manufacturer has $40 and 7 production hours available. how many of each type of shoe should the manufacturer produce to maximize profit?

What is the value of the expression 9+n/3-6 when n = 12? 1. 5. 7. 12.

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions

Alexandra drove from michigan to colorado to visit her friend. the speed limit on the highway is 70 miles per hour. if alexandra's combined driving time for the trip was 14 hours how many miles did alejandra drive?