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A person runs 800m at an average speed of 6.0m/s and then the next 800 M at an average speed of 8.0 m/s. What is the total time required?
At what temperature on the Fahrenheit scale will temperature on a centigrade scale be three times that on a Fahrenheit scale?
Prices to a concert cost N$ 200 for an adult and N$ 150 for a child, the convert venue can accommodate at most 240 people. The organizers are giving a N$ 20 discount to every adult and N$ 10 discount for every child but do not want the total discounted to exceed N$ 3200. Draw a graph and use it to answer the following questions. 1. How many tickets all together should the organizers sell in order to maximize their sales amount? 2. How many tickets of each type ( adult and child) should they sell to get a maximum sales amount? 3. What is the maximum sales amount the organizers can make? 4.If the profit is calculated as follows: profit = total sales - total discount amount. How much profit will the organizers from the maximum sales?
A couple is planning a wedding and they need to decide how many quests on the bride’s side as well as the groom’s side to invite.The has agreed that the bride can invite at most 60 quests. Since the bride’s friends and family are very fancy it costs N$ 300 per quest on her side while it only costs N$ 150 per quest on the groom’s side and they have a budget of N$ 30000. Each quest on the bride’s side will receive 4 drink tickets and each quest on the groom’s side will receive 3 drink tickets and no more than 500 drink tickets can be given. Keeping in mind that both the bride and groom must have quests ( neither of them can attend the wedding without any of their friends or family present ) Draw a graph and use it to answer the following questions: (i) what is the maximum number of quests that can attend the wedding? (II) How many quests will the bride and the groom each invite?
A truck travels at a speed of 80.0 km/h and has a mass of 2 000 kg. What is its kinetic energy?
How many lattice vibration modes are there in each branch of the Brillouin zone, if a solid contains (a) 100 and (b) 1000000 primitive cells?
A mole of gas has a volume of 10 m3 and a temperature of 300 K. At condition when pressure and temperature are constant, work has been done to compress the gas so that the volume is 5 m3. calculate the temperature and pressure of the gas at the end of the process.
Obtain an expression for the entropy of an assembly of photons. Using this expression, show that the equation for the adiabate of a photon gas is given by pV4/3= constant.
Derive an expression for the partition function of an ideal monoatomic gas. Hence obtain an expression for its entropy.
Write the van der Waal's equation of state for a real gas. Obtain the expressions for critical volume, critical pressure and critical temperature for this gas. Calculate the critical

temperature of He if the critical pressure is

2.5 atm and critical density is 0.069 g cm -3.
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