This is a problem in batch processing of materials using a mixing tank. the mixing tank has inflow and outflow tubes and a stirrer that keeps the concentration uniform at all points in the tank. the tank is initially filled by a volume v of solution, formed by dissolving a given solute in a solvent, with concentration c0(measured in kg/l)? ; the inflow tube carries a solution of different concentration cin than the initial concentration; the volumetric flowrate is qin the outflow flowrate is qout and, due to the well-mixed assumption, the outflow concentration has the same concentration as the instantaneous concentration of the tank. (i) derive the differential equation governing the instantaneous concentration in the tank; (ii) assume the tank volume is 1000 l, the volume initially contains 10 kg of salt, the rate of inflow is 2 l/s, the inflow concentration is 0.005 kg/l and that qin = qout (in other words, the outflow pipe carries away the overflow). calculate and plot the instantaneous concentration of salt c(t); (iii) calculate the time required to produce a solution of concentration 0.008 kg/l.

Points d and e are midpoints of the sides of triangle abc. the perimeter of the triangle is 48 units. what is the value of t? ο ο ο ο 7t +

What is the distance between (–2 1/2,-3) and (1, –3)?

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.