Other Math Answers

Find the equation in the from ax^2+bx+c=0 whose sum and product roots are respectively 3/2, —5/2.

A leading process engineering company bought three (3) major pieces of equipment:

a shell and tube heat exchanger; a storage tank and a three-phase vertical separator.

The company purchased the exact same type of equipment three (3) times within a

ten (10) year period.

Due to audit concerns and missing receipts, you are tasked with determining the cost of EACH

piece of equipment in $US, using The Gauss-Jordan Matrix Method. You are only provided with the total cost(US$) of the following:

1st Time: 3 tanks + 4 heat exchangers + 2 vertical separators cost US$157,500

2nd Time: 2 tanks + 1 heat exchanger + 3 vertical separators cost US$90,000

3rd Time: 5 tanks + 3 heat exchangers + 2 vertical separators cost US$149,500

A motor bike was originally listed at $769.99. The price was first discounted to $550.54, followed by a final discounted price of $449.79. What was the single equivalent rate of discount at the final price? (leave answer to 2 decimal places)

 8                     Given that pH = - log [H+]

(a)              Find the pH of a solution which has a [H⁺] concentration of 

                                               i.     0.01 mol dm^-3

                                             ii.     0.004 mol dm^-3

            Determine the [H⁺] concentration of a solution with a pH of 3.8

1. The number x is multiplied by itself and the result y is less than the number x.

For example, x*x = x² = y and y < x. 

i.   State a set name in which numbers behave in such an assertion above.

ii.     State any number in the stated set in (a) above and verify the assertion. 

(a)               A chemical preparation has a theoretical yield of 16.50g, the actual yield was 12.375g.  Express the actual yield as a percentage of the theoretical yield.

(b)               The experimental value of the water of hydration of copper sulfate was calculated as 36.1%.  What mass of a sample of 18g of hydrated copper sulphate is water?  Write your answer correct to three significant figures.

(c)       A reaction produces a compound at a rate of 12 gmin^-1.  A catalyst raises this rate to 16.5 g min^-1. What is the percentage increase?

a.      Express the roots of (−14+3i)^−2/5 complex number in polar form. 

a.      Let A and B and C be sets, prove that A∩(BC) = (A∩B) ( A∩C). 

b. a.      The number x is multiplied by itself and the result y is less than the number x.

For example, x*x = x² = y and y < x. 

i.   State a set name in which numbers behave in such an assertion above.

ii.     State any number in the stated set in (a) above and verify the assertion. 

The present ages of Andy and Mike are in the ratio 5 : 3. If Andy had been 7 years older and Mike 7 years younger, the age of Andy would have been 3 times the age of Mike. Find their present ages.

If 10^x/2 + 10^-x/2 =4, prove that x = log(7 + 4√3)