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A reaction that is spontaneous as written


Write a java program to print all natural numbers from 1 to n - using while loop

Write a function called fizz_buzz that takes a number.

If the number is divisible by 3, it should return “Fizz”.

If it is divisible by 5, it should return “Buzz”.

If it is divisible by both 3 and 5, it should return “FizzBuzz”.

Otherwise, it should return the same number.





1) The first law of thermodynamics is a version of the law of conservation of energy. What does this mean in terms of the exchange of heat and work in a closed system?

     Two different products P1 and P2 can be manufactured by one or both of two different machines M1 and M2. The unit processing time of either product on either machine is the same. The daily capacity of machine M1 is 200 units (of either P1 or P2 or a mixture of both) and the daily capacity of machine M2 is 250 units. The shop supervisor wants to balance the products schedule of the two machines such that the total number of units produced on one machine is within 5 units of the number produced on the other. The profit per unit of P1 is $10, and that of P1 is $15. Set up the problem as an LP in equation form.


The value of serum sodium in healthy adults approximately follows a normal distribution with a mean of 141meq/l and standard deviation of 3meq/l

(a) What is the probability that a normal healthy adult will have a serum sodium value above 147meq/l ( 5 marks)

(b) What is the probability that a normal healthy adult will have a serum sodium value below 130 meq/l ( 5 marks)

(c) What is the probability that a normal healthy adult will have a serum sodium value between 132 and 150meq/l (5 marks)


Write C++ program by using while loop to display the following output


+---------+

|  *  |

|  /*\  |

| //*\\ |

| ///*\\\ |

| \\\*/// |

| \\//  |

|  \*/  |

|  *  |

+---------+

| \\\*/// |

| \\//  |

|  \*/  |

|  *  |

|  *  |

|  *  |

|  /*\  |

| //*\\ |

| ///*\\\ |

+---------+


Given a sequence ((xn,yn)) is R2 .prove that if ((xn,yn)) is bounded ,then (xn) and (yn) are bounded.

The maize grown in Mphumalanga is used primarily to feed livestock. Suppose that the current "foot and mouth disease" scare were to lead to a significant drop in the size of cattle herds nationwide. What impact would you expect in the market for maize?


Solve each of the following problems. Follow Polya's four stages of problem solving in your solution.



3. A palindromic number or numeral palindrome is a "symmetrical" number like 16461, which remains the same when its digits are reversed. The term palindromic is derived from palindrome, which refers to a word like rotor that remains unchanged under reversal of its letters. How many palindromes are there between 0 and 1000?



4. Matt is half as old as James will be when Matt is twice as old as James is now. In five years, the sum of Matt's and James' ages will be 100. How old are Matt and James now?



5. Find the digit 120 places to the right of the decimal point in the decimal representation of 9/13


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