answer:Key elements include understanding kinship relations, respecting sacred sites, avoiding photography, avoiding references to the deceased, and recognizing the differences between Indigenous and non-Indigenous cultures.

answer:An empty product, by definition, is equal to 1. An empty sum is defined as 0. You can think of it as a generalization of the idea that a^0=1 and 0!=1. More generally, if you have a finite set, X, and a function f:Xto mathbb R, then for any subset Asubset X, you can define: prod_{xin A} f(x) this product has the property that if A,Bsubset X and Acap B=emptyset then prod_{xin Acup B} f(x) = left(prod_{xin A} f(x)right)left(prod_{xin B} f(x)right) For this to be defined for all subsets of A, we have to define it for A=emptyset. The only value for prod_{xin emptyset} f(x) that keeps the above property is 1. In this case, the set of values of i such that 4leq ileq0 is empty, so this is an empty product. The empty product is defined to be 1.

answer:Using the formula for the future value of an annuity, we have: ``` FV = PMT * [(1 + i)^n - 1] / i ``` where: * FV is the future value (1,500,000) * PMT is the monthly payment (unknown) * i is the monthly interest rate (6.5% / 12 = 0.005417) * n is the number of months (20 * 12 = 240) Solving for PMT, we get: ``` PMT = FV * i / [(1 + i)^n - 1] ``` ``` PMT = 1,500,000 * 0.005417 / [(1 + 0.005417)^240 - 1] ``` ``` PMT = 4,564.67 ``` Therefore, you need to deposit 4,564.67 each month into your account to reach your retirement goal.

answer:To normalize the vector, we divide each component by the vector's magnitude. The magnitude is calculated as follows: text{Magnitude} = sqrt{left(frac{1}{3}right)^2 + left(-frac{8}{3}right)^2 + left(-frac{2}{3}right)^2 + left(frac{2}{3}right)^2 + left(-frac{8}{3}right)^2} text{Magnitude} = sqrt{frac{1}{9} + frac{64}{9} + frac{4}{9} + frac{4}{9} + frac{64}{9}} text{Magnitude} = sqrt{frac{137}{9}} text{Magnitude} = frac{sqrt{137}}{3} Now, the normalized vector is: left( begin{array}{c} frac{frac{1}{3}}{frac{sqrt{137}}{3}} frac{-frac{8}{3}}{frac{sqrt{137}}{3}} frac{-frac{2}{3}}{frac{sqrt{137}}{3}} frac{frac{2}{3}}{frac{sqrt{137}}{3}} frac{-frac{8}{3}}{frac{sqrt{137}}{3}} end{array} right) left( begin{array}{c} frac{1}{sqrt{137}} -frac{8}{sqrt{137}} -frac{2}{sqrt{137}} frac{2}{sqrt{137}} -frac{8}{sqrt{137}} end{array} right)