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The equation 6x3 = 43x2 + 79x is solved in the Summa of Luca Pacioli as follows; "Add the number to the cose to form a number, and then you get one cubo equal to 7 1/6 censi plus 18 1/6, after you have reduced to one cubo [divided all the terms by 6]. Then divide the censi in half and multiply this half by itself, and add it onto the number. It will be 31/1/144 and the cosa is equal to the root on this plus, which is half of censi
Show that Pacioli's answer is incorrect. What was he thinking of in presenting his rule?
Three workers sort 66 boxes in a day. One of the workers is three times more productive than the second worker and twice as productive as the third worker. How many boxes did the second most productive worker sort?
a small bakery starting out they have a 80000 family loan and 38250 business loan from bank all repaind in 10 yrs, what is the integer that represents the total.
Let f be Lebesgue integrable on [0,1]. Prove that the limit, as k goes to infinity, of the integral from 0 to 1 of (x^k)f(x)dx is equal to 0.
A firm has an opportunity to invest $80000 today that will yield $92000 in one year. if the interest rates are 5% what is the net present value (NPV0 of this interest?
rtain bacteria population is known to triples every 90 minutes. Suppose that there are initially 170 bacteria.
Information on a packet of seeds claims that the germination rate is 92%. The packet contains 160 seeds. We will treat the packet as a random sample of seeds. Find the standard error of the proportion. Show 4 decimal places in your answer.
The number of staff personnel needed to handle patients at a medical center is determined by the mean time that patients must wait before being attended to by a physician. For a random sample of 100 previously recorded emergencies, the sample mean..
Prestige Builders has a development of new homes. There are four different floor plans, seven exterior colors, and an option of either a two-car or a three-car garage. How many choices are there for one home?
There were 5000 jackets manufactured. Customers returened 24. What percent of the jackets were retured?
A particle is moving along the curve y=42x+5 . As the particle passes through the point (212), its x-coordinate increases at a rate of 4 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Calculate the work done in moving the object from x = 1 ft to x = 12 ft. (round your answer to two decimal places).
In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worker t hours after starting work could be modeled by the formula.
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