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Calculate the number of grams of solute necessary to prepare a 500.0 mL of a 0.10M

sodium hydroxide solution.


What is the Fourier cosine series for f(x) = 2-π, in the interval 0 ≤ x < 2π?

Quite tiring to write those things separated by commas and a single space, isn't it?

Then let's try coding it instead

Five lines containing a string on each.

A single line containing all the strings separated by a comma and a space.


Have you ever answered a test question that tells you to enumerate a series of things, but the answer must be in a sentence? Quite tiring to write those things separated by commas and a single space, isn't it?

Then let's try coding it instead


In a study of inter spousal aggression and its possible effect on child behavior, the Behavior Problem Checklist (BPC) scores were recorded for 47 children and whose parents were classified as aggressive. The sample mean and standard deviation were 7.92 and 3.45, respectively. For a sample of 38 children whose parents were classified as non-aggressive, the mean and standard deviation of the BPC scores were 5.80 and 2.87, respectively. Do these observations substantiate the conjecture that the children of aggressive families have lower mean BPC than those of non- aggressive families? Use a significance level of 0.05.


Given a list of integers, write a program to print the count of all possible unique combinations of numbers whose sum is equal to k.



Input:



The first line of Input will contain space-separated Integer.



The second line of Input will contain an 8nteger,denoting K.




Sample Input:



2 4 6 1 3




Output:



3

8. A small home business set up with an investment of $ 10,000 for equipment. The business manufactures a



product at a cost of br. 0.64 per unit. If the product sales for Br. 1.20 per unit how many units must be sold



before the business breaks even?

6. XYZ company’s cost function for the next four months is C = 500,000+5Q


(a) Find the BE dollar volume of sales if the selling price is br. 6 / unit


(b) What would be the company’s cost if it decides to shut down operations for the next four months


(c) If, because of strike, the most the company can produce is br. 100,000 units, should it


shutdown? Why or why not?

5. A contractor purchases a piece of equipment for birr 30,000. The equipment requires an average expenditure


of birr 6 per hour for fuel and maintenance and the operator is paid birr 10 per hour. The customers are


charged birr 20 per hour for the use of the equipment. Required:


(a) Write the total cost, total revenue and total profit functions in terms of the number of


hours the machine is used.


(b) Find the number of hours the equipment must be operated for the contractor to breakeven.


(c) What will be the profit (loss) level if the machine is operated for 8,000hours?

3. A firm sells a product for birr 60 per unit. Raw material cost are birr 13 per unit, laborcosts are birr 20 per


unit, and annual fixed costs are birr 340,000.


(a) Determine the profit function.


(b) How many units would have to sold to earn an annual profit of birr 240,000?


(c) Determine the amount of contribution to the fixed cost and profit, if the firm sells


10,000units.

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