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  • An explorer walks 22km due North and then 45 degrees south of east for 47km.what’s the resultant displacement from the origin?

Discuss the advantages and disadvantage of the β€˜Pluralist theory’ and Marxist theory of employment relations to the State? Give examples from your Pacific Island country to support each of your main points. (500 words)Β (5 marks)


1. Two charges are located on the positive x-axis of a coordinate system. Charge π‘ž1 = 2 Γ— 10βˆ’9𝐢 is 2cm from the origin, and charge π‘ž2 = βˆ’3 Γ— 10βˆ’9𝐢 is 4cm from the origin. What is the total force exerted by these two charges on a charge π‘ž3 = 5 Γ— 10βˆ’9𝐢 located at the origin?


2. A negative charge of βˆ’0.50 Γ— 10βˆ’6𝐢 exerts a repulsive force of magnitude 0.20 N on an unknown charge 0.20 m away. What is the unknown charge (magnitude and sign)?


3. How many excess electrons must be placed on each of two small spheres spaced 3cm apart if the spheres are to have equal charge and if the force of repulsion between them is to be 10βˆ’19𝑁?


4. What is the electric field 30cm from a charge π‘ž = 4 Γ— 10βˆ’9𝐢?


5. The electric field caused by a certain point charge has a magnitude of 5.0 Γ— 103 𝑁 𝐢 at a distance 0.10m from the charge. What is the magnitude of the charge?





Suppose three coins are tosted.Let Y be the random variable representing the number of tails that occur.Find the values of the random variable Y.Make a table to show the values of the random variable

Silver has a face-centered cubic unit cell. How many atoms of Ag are present in each unit cell?


Create an application named TestSandwich_[your name] that instantiates one Sandwich object and demonstrates the use of the set and get methods.Β 

You need a P40,000 per year for 4 years to go to college. Your father invested P50,000 in a 7% account for your education when you were born. If you withdraw the P40,000 at the end of your 17th, 18th, 19th, and 20th years, how much money will be left in the account at the end of your 21st year?





Mr. Arroyo bought a piece of property for P100,000 down payment and 10 deferred semiannual payments of P8,000 starting 3 years from now. If the interest rate is 12% compounded semiannually, what is the present worth of the property?





A man borrowed P200,000 from a bank at 12% compounded monthly, which is payable monthly for 10 years (120 payments). If the first payment is to be made after 3 months, how much is the monthly payment?



There are 7 defective light bulbs in a bin containing 80 light bulbs. In how many ways can you select at

least 6 defective light bulbs when you choose 8 light bulbs at random?


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