must the number of people at a party who do not know an odd number of other people be even?
Solution
In a graph theory, know that “the number of vertices of odd degree is even”.
By applying the above principle to the graph with each person as a vertex and an edge between
two people who do not know each other. Then yes. it must the number of people at a party who
do not know an odd number of other people be even.
On the basis of the general solubility rules given in the table belo.pdf
1. On the basis of the general solubility rules given in the table below, predict which of the
following substances are likely to be soluble in water. (Select all that apply.)
zinc chloride
lead(II) sulfate
magnesium carbonate
ammonium carbonate Simple Rules for the Solubility of Salts in Water 1. Most nitrate (NO) salts
are soluble. 2. Most salts containing the alkali metal ions (Li", Na, K, Cst, Rb*) and the
ammonium ion (NH,) are soluble. 3. Most chloride, bromide, and iodide salts are soluble.
Notable exceptions are salts contain- ing the ions Ag", Pb", and Hgr. 4. Most sulfate salts are
soluble. Notable exceptions are BaSO4. PbSO4, Hg,SO, and CaSO4. 5. Most hydroxide salts are
only slightly soluble. The important soluble hydroxides are NaOH and KOH. The compounds
BalOH), Sr(OH), and Ca(OH), are marginally soluble. 6. Most sulfide (S), carbonate (CO²),
chromate (Cro.?"), and phosphate (PO.') salts are only slightly soluble.
Solution
There are no such rules about the solubility of ZnCl2 so it is not be soluble in water.
According to rule four lead sulphate is soluble.
According to rule 6, Magnesium carbonate may be soluble in water.
From rule 2 and 6 so ammonium carbonate is soluble in water.