Show that the following are equivalent metrics for Rn: (i) d1 (x, y) = || x – y ||1 = {n∑i=1 (xi – yi)2}(1/2);

(ii) d2 (x, y) = || x – y ||2 = max1 ≤ i ≤ n |xi – yi|;

(iii) d3 (x, y) = || x – y ||3 = n∑i=1 |xi – yi|.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

susie has 7 apples