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adelina 88 [10]

2 years ago

12

Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters

and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams.

1 answer:

grigory [225]2 years ago

5 0

Answer:

The density of the material must be at least 1.5 g/cm³.

Step-by-step explanation:

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Prove that for every pair of integers m and n, if n − m is even, then n 2 − m is also even. (You may freely use the fact that th

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Answer with Step-by-step explanation:

We are given that n and m are two integers

We have to prove that if n-m is even , then $n^2-m$ is also even.

We know that sum of two odd numbers is even.Sum of an odd number and even number is odd.

Product of an odd number and even number is even.

Case 1.Suppose m and n are both even n=4 , m=2

$4-2=2$

$(4)^2-2=14 =Even$

Case 2.Suppose m odd and n odd

n=9,m=5

$9-5=4$

$(9)^2-5=76=Even$

Hence, proved.

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Step-by-step explanation:

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