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A cylindrical jug that carries 5 ℓ of water when it is filled to the brim, has a height of 20 cm


5: An object of mass m is projected with initial velocity v0 at an angle of θ degrees

to the horizontal. discuss the motion(position, velocity, acceleration) of the object

throughout the period of the flight. With appropriate choice of values for param￾eters (m, v0 and θ), plot the velocity and acceleration as functions of time on the

same graph. Discuss these graphs. Assume that the surrounding air offers no resistance


1. A cement factory recently lowered its price from $60 to $40. As it did, the number of cement bags sold increased from 240000 to 280000.



I) what is the cement factory elasticity of demand? Interpret the result intuitively.



II) given that elasticity, did it make sense for the cement factory to lower its price?

Create a c++ program the counts and display the odd and even numbers among the ten input values using a two dimensional array.


First row - 10 input numbers

Second row - even numbers

Third row - odd numbers


What is the probability that a hired bike will be deemed beyond repair provided that the wheels get damaged independently of each other



Deduce and explain the effects of mutations:

a) in the operator, so that the repressor is no longer able to bind.

b) in lacI, so that the repressor is no longer synthesized.

c) in the promoter, so that RNA polymerase no longer binds.

d) in lacI, so that the repressor no longer binds to lactose.

e) in lacY that causes transcription to terminate in the middle of the gene.

f) location unknown, which prevents the lac mRNA from being degraded. 


Which of the following can cause demand-pull inflation? [1] A decrease in interest rates which leads to an increase in consumption and investment spending. [2] An increase in government spending on social wealth and education. [3] A rise in the cost of imported intermediate goods due to a depreciation of the domestic currency.


Thabi and Senzo are marking 180 scripts for grade 12.



Thabi took 3 minutes to finish 1 paper.



Senzo took 1,5 minutes to finish 1 paper.



How long will it take them to finish 180 scripts?


Assume the service life is distributed normally, a random sample of several electronic stuff with a service life (years): 6, 7, 7, 7, 6, 8, 8, 7, 6.

Does this indicate that the average lifespan of a shaker from Onix is not the same as 7

year? Do hypothesis testing with a significance level:

a. 1%

b. 5%

c. 10%


Create a class named 'Rectangle' with two data members- length and breadth and a function to calculate the area which is 'length*breadth'. The class has three constructors which are:


1 - having no parameter - values of both length and breadth are assigned zero.

2 - having two numbers as parameters - the two numbers are assigned as length and breadth respectively.

3 - having one number as parameter - both length and breadth are assigned that number.

Now, create objects of the 'Rectangle' class having none, one and two parameters and print their areas.



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