The cost of producing x units of a certain commodity is given by p (x) =1000 + ∫ ^x to 0 mc (s)ds, where p is in dollars and m (x) is marginal cost in dollars per unit. b. suppose the production schedule is such that the company produces five units each day. that is, the number of units produced is x= 5t, where t is in days, and t = 0 corresponds to the beginning of production. write an equation for the cost of production p as a function of time t. c. use your equation for p (t) from part b to find dp/dt . be sure to indicate units and describe what dp/dt represents.

Asmall internet mail-order company keeps track of the number of orders it fills per day for many years and determines that the distribution of the variable "orders filled per day" is right-skewed and has the following five-number summary: minimum = 20 q1 = 32 median = 46 q3 = 63 maximum = 80 suppose we take random samples of size 40 from this distribution and calculate the range for each of our samples. (i cant put in the graph, but its approximately normal with center between 56 and 57, with a range of 53 to 60). a) there are two dots on the graph at 53. explain what these values represent. b) is the sample range an unbiased estimator of the population? use the dotplot above to justify your answer.

Ill give you free points and brainliest if you me with the correct answer every time you hit the brakes, you are attempting to overcome a. potential energy b. kinetic energy c. static electricity d. the force of impact

Based on what you've learned about the professions, which ones appeal to you as a potential career and why? if none interest you as a future career, indicate another career you're interested in and explain why that career interests you.