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At the petrochemical facility, 1 m3 of the liquid mixture of 40% benzene and 60% toluene was pumped in a cone-roof tank at 25oC. The vapor space above the liquid is saturated with mixture vapor of b
Find out the number of ways to distribute 10 orange drinks, 2 lemon drinks to four thirsty students such so that each student gets at least one drink, and the lemon drinks go to different students.
Determine the vapor pressure of propane at 30 Celcius by using Clausius-Clapyron equation. Given vapor pressure of propane as function of temperature as follows:
According to the wildlife experts, the rate at which crickets chirp is function of temperature; specifically, C= T-40 where C is the number of chirps every 15 sec and T is the temperature in degrees
Suggest the system of equations represented by the augmented matrix . For which values of r, s is there (a) no solution? (b) exactly one solution? (c) infinitely many solutions? Justify your answers
Doni bought $91 dollars worth of sheets at the weekend sale when a $1.60 was marked off every article. She returned the sheets on thrusday when everything was regular price. Since Doni is a good cus
Blackbeard, bluebeard, and redbeard were feeling pleased with themselves. They had just plundered another ship as well as taken the stash of gold and bared the in blackbeards back yard. They decided
Let X = {a,b,c,d}. List the open sets for a nontrivial topology on X such that the resulting space is not Hausdorff.
You're using an unreliable Wi-Fi connection. You send three emails - one to your bank, one to magazine, and one to your professor. Each email has a 30% chance of going through, independently of whe
An oil company is drilling for oil at three sites. According to the geological tests, the probabilities of determining oil at these three sites are 0.30, 0.15, and 0.20, respectively.
Dystopia county has three bridges. In the next year, Elder bridge has 11% chance of collapse, the Younger bridge has 4% chance of collapse, and the Ancient bridge has 20% chance of collapse. Determ
Determine the present value of ordinary annuity which has payments of $1100 per year for 19 years at 5% compounded annually.
Determine the exponential generating function of the partitions of the set [n], all of whose classes have a prime number of elements.
In a ballroom dance class, participants are divided in couples for each drill session. One partner leads and other follows for three minutes, and then the couple switches roles for next three minute
It is well known that infants born to mothers who smoke tend to be small and prone to the range of ailments. It is conjectured that also they look abnormal.
There're 20 people sitting in waiting room. The usher in charge should select 5 of these people to go to the green sanctuary and 3 of these people to go to the red sanctuary. In how many different m
Find out the singular points of the equation (x^2 + 2x)^2 Y" - 4xY' +5Y = 0 and classify them as regular or irregular.
You bring a bag of 12 snacks to animal shelter and discover that there're 18 animals there. To be fair, you don't want to provide more than one snack to any individual animal. How many manners are
Compute the probability that if 3 alphabetic letters are selected (no ordering), no letters are repeated? The probability that no letters are repeated is
The coordinates of the max for the solution curve. The value of t there the solution crosses the t-axis.
Producers will make 2000 refrigerators available when unit price is $330. At the unit price of 390, 6000 refrigerator will be marketed. Compute the equation relating the unit prive of refrigator to
Traffic signs are regulated by Manual upon Uniform Traffic Control Devices. The perimeter of some traffic signs should be 138 inches. It's length should be 9 inches longer than it's width. Determin
Helga's tennis outfits can be made up from 5 different shirts, 4 different shorts, 2 pairs of socks, and 2 pairs of shoes. But, she may choose to not wear socks. In how many manners can Helga dress
Let G = {(1), (12)(34), (1234)(56), (13)(24), (1432)(56), (56)(13), (14)(23), (24)(56)}. Determine the stabilizer of 1 and the orbit of 1.
Since matter is made of electrically charged particles, why don't we and the objects around us feel electric forces all the time?