Need this quick! this is worth 15 points! also, will mark brainliest! thx so much : )

provide the divisibility for:

7^6+7^5-7^4 by 11

5^5-5^4+5^3 by 7

again!

11 does divide (7^6+7^5-7^4) into 5

7 does divide (5^5-5^4+5^3) into 3

Step-by-step explanation:

I don't know what method your teacher wants you to use but am assuming no calculators are allowed. To solve this I would first do some thinking:

(I write 11 divides x as 11|x):

We can for sure tell that 11 does not divide the factor 7^4 because 7 is prime and so tough luck. but the remaining factor is more amenable

ad so, clearly, 11 divides the second factor into 5.

As for the second expression, similar thing:

Again, 5 is prime, so 7 won't ever, never divide 5^3. Second term:

means 7 divides the expression to 3!

4

step-by-step explanation:

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: