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Determine the functions f: R -> R are onto, f(x) = |x| + x



Let A = {1, 2, 3, 4} and B = {0, 3, 6, 8, 12, 15}. Consider a rule f (x) = x² - 1, x∈A, then show that f is a mapping from A to B.



The following sets have been defined using the | notation. Re-write them by listing some of the elements.


i. {p | p is a capital city, p is in Europe}


ii. {z | 3z = n2, z and n are natural numbers}



A. 200.0 g of Ca(C2H3O2)2 was found in the chemistry laboratory. 

      Calculate

          i. the molecular mass of 1 mole Ca(C2H3O2) 2.

         ii. the number of  moles of Ca(C2H3O2)2  that exists   

        iii. the number of Ca(C2H3O2)2 molecules present

        iv.  the volume at STP  if Ca(C2H3O2)2 is converted to gas.

        v.  the molarity of a solution made by dissolving 200.0 g of      

                Ca(C2H3O2)2 in 200 ml of water


b)  Answer the following stoichiometry questions by referring to the equation below:

2 KClO3    2 KCl + 3 O2

i.        If 1.50 moles of KClO3 decomposes, what is the mass of O2 that will be produced?

ii.       If 80.0 grams of O2 was produced, how many moles of KClO3                  are decomposed?

iii.    Find the mass of KClO3 needed if we need to produce 2.75                                 moles of KCl.

Let the charge q and -q be placed alternatively along the x-axis at position x=2m,x=3m,x=5m and x=8 m.what is the electric field at x=0 due to these changes?

Determine whether the following reactions will occur by determining the voltage produced. (3 marks each)

a. Ag(s) + HCl(aq) 

b. Mg(s) + FeSO4(aq) 



3. The most common method of producing bromine involves oxidizing bromine ions (Br- ) to bromine liquid (Br2) using chlorine gas (Cl2). What is the E for this reaction? 2 marks


1. By what mass (in grams) will a chromium cathode increase when it is coupled to a magnesium half-cell in which the magnesium anode loses 1.53 grams? (assuming chromium ions in solution are Cr3+).


Draw Dienes block to show how to find solution to:

b) 102 - 45


In the given table on the below, solve for Pearson r and interpret the result

X 80,84,86,87,89,90,91,93,94,96

Y 78,83,80,84,89,90,88,91,93,96



Solve for r and interpret the result

X 2,4,6,7,10

Y 8,10,12,6,16


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