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Mariana [72]
3 years ago
5

What is the greatest integer that always divides the difference of the squares of any two different positive odd integers?

Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

Answer:

The greatest integer is 8.

Step-by-step explanation:

Odd positive integers are positively directed numbers that can not be divided into to equal values without a remainder. Examples are: 1, 3, 5, 7, 9 etc.

Given the following positive odd integers:

i. 9 and 3

9^{2} - 3^{2} = 81 - 9

         = 72

ii. 3 and 1,

3^{2} - 1^{2} = 9 - 1

         = 8

iii. 7 and 5

7^{2} - 5^{2} = 49 - 25

         = 24

iv. 21 and 13

21^{2} - 13^{2} = 441 - 169

             = 272

Therefore, it can be observed that the greatest integer that always divides the difference is 8.

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your phone says that 14.5% is equivalent to the decimal 14.5 explain why your friend is incorrect by comparing the fraction -14.
Lelechka [254]
A percent is a proportion of something that can come from a variety of different numbers depending on what you are measuring. 14.5% is not the same as 14.5 because the 14.5% isn’t necessarily 14.5 of a certain amount. For example, $14.50 of the $100 you have could be from your grandparents; making 14.5% of your money from your grandparents but a deposit of $145 into a bank account that already has $855 would mean that 14.5% of the money in that bank account was from that deposit but $145 does not equal $14.50. They just have the same proportion just different on different scales.

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3 years ago
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Step-by-step explanation:

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Then A(t) = 5×(0.5)^(0.25t) = 5×2^(-t/4),

(also known as 5 exp(-λ t) with λ = ln(2)/4, incidentally).


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3 years ago
What is the minimum number of students, each of whom comes from one of the 50 states, who must be enrolled in a university to gu
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Answer:

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We can use the pigeon hole principle to make this the minimum number required.

The pigeon hole principle basically tells us that if you have more "pigeons" than "holes" then there must be one hole with multiple objects in it.

So, using this idea, we see that:

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