(f) Give a recursive definition of a", where a is a nonzero real number and n is a nonnegative integer.

We are constructing a box from a piece of paper. The paper is a piece of “ledger-sized paper” which measures 11”x17”.  We will remove a square of size “x” inches from each corner and turn up the edges.A piece of ledger paper is the same size as taping the long sides of two pieces of standard 8.5x11 paper together.   Once we remove the squares of size “x” inches from each corner and turn up the edges, we create a box: Label the dimensions of the newly created box using the variable “x”.   h=h=     w=w=                    l=l=         What is the equation that represents the Volume of the box as a function of the cutsize of the box? V(x)=Vx=      What is the restricted domain of this problem? (That is, what x values "make sense"?)  ≤x≤≤x≤     What is the restricted range of this problem? (That is, what V values "make sense"?)  ≤V(x)≤≤Vx≤   (round to 2 decimal places)   To maximize the volume of the newly created box, how much should be cut from each corner? x=x=  inches What is…

At inventory time, 435 pounds of magnet wire for winding motors is available. In ten successive days, 15 pounds, 6 pounds, 24 pounds, 12 pounds, 3 pounds, 8 pounds, 17 pounds, 32 pounds, 16 pounds, and 13 pounds of wire are taken out of stock. How many pounds are left?

You go to the doctor and he gives you 16 milligrams of radioactive dye. After 24 minutes, 5.75 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute. You will spend______ minutes at the doctor's office.

You go to the doctor and he gives you 15 milligrams of radioactive dye. After 24 minutes, 5.5 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute. You will spend minutes at the doctor's office.

Type out the problem step-by-step in full.

I don't fully understand what you did for problem C

At first 1/3 of the children in the room were girls. When 3 boys left, 1/2 of the remaining children were girls. How many girls were in the room?

About 1/3 of Samuel’s paycheck goes to housing, 1/6 goes to utility bills, 1/8 goes for his car, and 1/5 goes for food. How much of his paycheck is left for entertainment?

How could you plug the equation above into a calculator and get the same answer?