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A system has constant volume (∆V=0) and the heat around the system increases by 50 J


A. What is the sign for heat (q) for the system?

B. What is ∆V equal to?

C. What is the value of internal energy of the system in Joules?


For a certain first order reaction, half life is 100s, how long will it take to be 75% completed

Assume that the total cost of a competitive firm is given by,TC=6Q2-16Q+12, and the total revenue of the firm is given by, TR=2Q2

Then find

A.The firms profit maximization level of output.

B.Profit

C.does the firm generate profit or incur loss at 5 unit of output?


A block system of tire pullings has an efficiency of 70%.Calculate, the effort that will be required to raise a load of 42.00N


The average height of students in a freshman class of a certain school has been 165.24 cm with a population standard deviation of 5.56 cm. Is there a reason to believe that there has been a change in the average height if a random sample of 37 students in the present freshman class has an average height of 169.42 cm? Use a 0.01 level of significance.


An electrical firm produces light bulbs that have a length of life that is approximately normally distributed with a mean of 650 hours and a population standard deviation of 20 hours. A new version of light bulbs is being produced and is assumed to be better than the previous version. To test this claim, a random sample of 52 new light bulbs are tested. Would you agree with this claim if the random sample showed an average of 760 hours? Use a 0.01 level of significance.


It is claimed that a car is driven on the average less than 28700 kilometers per year with a population standard deviation of 2100 kilometers. To test this claim, a random sample of 58 car owners are asked to keep a record of the kilometers they travelled. Would you agree with this claim if the random sample showed an average of 22500 kilometers? Use a 0.01 level of significance


The average height of students in a freshman class of a certain school has been 161.27 cm with a population standard deviation of 6.5 cm. Is there a reason to believe that there has been a change in the average height if a random sample of 45 students in the present freshman class has an average height of 150.6 cm? Use a 0.05 level of significance.


Compound prepared in lab was found to be 3,4 di-bromo hexane write all the possible structures of it and specify them as R and S. Give stereochemical relationship between all the isomers. Can the isomers of the above compound be separated based upon physical properties? 


A tax system is progressive if …


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