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A solid cylinder of mass 4kg and radius 40cm rotates about its axis with a frequency of 1/pi what is its rotational kinetic energy?










Research has shown that 55% of new Small Medium Enterprises (SMEs) are started by graduates while 45% are started by non-graduates. It is also known that 70% of SMEs started by graduates are successful i.e they suvived beyond 3 years, while only 10% of those started by non-graduates are successful.


a. What is the probability that a new SME is successfull

b. What is the probability that a new SME is successful and it was not started by a graduate

c. If it is know that a new SME is successful, what is the probability that it was not started by a graduatre


Describe the importance of selectively permeable membranes and compare the



functions of carrier proteins and channel proteins.

Describe the ways that membrane proteins associate with the lipid bilayer.

How would you use a teacher-centered media resource to explain the meaning of ( 7 x 9) to a grade 5 learner. Use two different illustrations to show your understanding.


b)  Answer the following stoichiometry questions by referring to the equation below:

2

KClO3               2 KCl + 3 O2

i.        If 1.50 moles of KClO3 decomposes, what is the mass of O2 that will be produced?

ii.       If 80.0 grams of O2 was produced, how many moles of KClO3 are decomposed?

iii.    Find the mass of KClO3 needed if we need to produce 2.75 moles of KCl.

200.0 g of Ca(C2H3O2)2 was found in the chemistry laboratory. 

      Calculate

          i. the molecular mass of 1 mole Ca(C2H3O2) 2.

         ii. the number of  moles of Ca(C2H3O2)2  that exists   

        iii. the number of Ca(C2H3O2)2 molecules present

        iv.  the volume at STP  if Ca(C2H3O2)2 is converted to gas.

        v.  the molarity of a solution made by dissolving 200.0 g of      

                Ca(C2H3O2)2 in 200 ml of water

       


A wheel rotating at 490 rev/min accelerate uniformly at 0.5 rad/s2 for 30 second.


1 .find the angular velocity after 30s


2 . pulley peripheral speed


3 . angle turned through by a wheel during this time

Calculate the number of atoms of He(g) that are needed to exert a pressure of 4.0 atm in a 15 mL container at a temperature of -23℃


When three coins are tossed,the probability distribution for the random variable x representing the number of heads that occurs is given below compute the variance and standard deviation of the probability distribution


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