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Calculus
The time it takes to complete a certain job varies inversely to the number of people
working on that job. If it takes 36 hours for 9 carpenters to frame a house, then how long will it take 63 carpenters to do the same job?*
working on that job. If it takes 36 hours for 9 carpenters to frame a house, then how long will it take 63 carpenters to do the same job?*
Calculus
The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If V = 550.0 in.3 when T = 500° and P = 10 lb/in .2, what is the volume when T = 350° and P = 15 lb/in.2?*
Calculus
At what interest rate must $4800 be compounded annually to equal $9051.12 after 13 yr? (Round to the nearest percent.)*
Calculus
The volume V of a 19-gram object varies inversely with the density Q in grams per milliliters, V = 19/Q. Find lim V.
Calculus
Northwest Molded molds plastic handles which cost $0.70 per handle to mold. The fixed cost to run the molding machine is $5799 per week. If the company sells the handles for $
3.70 each, how many handles must be molded weekly to break even?
3.70 each, how many handles must be molded weekly to break even?
Calculus
A rectangular piece of cardboard measuring 15 inches by 24 inches is to be made into a box with an open top by cutting equal size squares from each comer and folding up the sides.
Let x represent the length of a side of each such square. For what value of x will the volume be a maximum? If necessary, round to 2 decimal places.
Let x represent the length of a side of each such square. For what value of x will the volume be a maximum? If necessary, round to 2 decimal places.
Calculus
The time T necessary to make an enlargement of a photo negative varies directly as the area A of the enlargement. If 168 seconds are required to make a 3-by-7 enlargement, find
the time required for a 5-by-10 enlargement.
the time required for a 5-by-10 enlargement.
Calculus
The polynomial G(x) = -0.006x4 + 0.140x3 - 0.53x2 + 1.79x measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase between 12 and 13 seconds?
Calculus
Insert two geometric means between 4 and 500.
Calculus
A certain culture initially contains 10000 bacteria and increases 20% every hour.
a) Find a formula for the number N(t) of bacteria present after t hours.
b) How many bacteria are in the culture at the end of 10 hours?
a) Find a formula for the number N(t) of bacteria present after t hours.
b) How many bacteria are in the culture at the end of 10 hours?
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#340153 on Dec 2023
#340153 on Dec 2023