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3 years ago

I challenge you to Protobowl, Link in description

Mathematics

2 answers:

Nimfa-mama [501]3 years ago

4 0

Answer:

ok???

Step-by-step explanation:

Svetllana [295]3 years ago

3 0

The answer is true that the west is a true story of the advancement of science math science test test

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Evaluate the expression using the distributive property 8(7+7)

MrRissso [65]

Answer: 112

Step-by-step explanation:

Following PEMDAS, we need to add the numbers in the parenthesis first

8(7+7) becomes 8(14)

Now we just multiply 8 and 14

8(14) = 112

5 0

3 years ago

Read 2 more answers

What is the greatest common factor of 8x and 40

Novay_Z [31]

The GCF of 8x and 40 is 8

6 0

3 years ago

The length of a rectangular is 5/2 unites greater then twice its width if it’s width w which expression gives the perimeter of t

strojnjashka [21]

If width is w the length can be represented as 5/2+2w.

Formula for perimeter is 2l + 2w

So it would be 2w + 2(5/2 + 2w)

OR 2w + 5 + 4w

OR 6w + 5

See if this helps ;)

5 0

3 years ago

WHAT IS THE REMAINDER WHEN <img src="https://tex.z-dn.net/?f=32%5E%7B37%5E%7B32%7D%20%7D" id="TexFormula1" title="32^{37^{32} }"

Feliz [49]

Recall Euler's theorem: if $\gcd(a,n) = 1$ , then

$a^{\phi(n)} \equiv 1 \pmod n$

where $\phi$ is Euler's totient function.

We have $\gcd(9,32) = 1$ - in fact, $\gcd(9,32^k)=1$ for any $k\in\Bbb N$ since $9=3^2$ and $32=2^5$ share no common divisors - as well as $\phi(9) = 6$ .

Now,

$37^{32} = (1 + 36)^{32} \\\\ ~~~~~~~~ = 1 + 36c_1 + 36^2c_2 + 36^3c_3+\cdots+36^{32}c_{32} \\\\ ~~~~~~~~ = 1 + 6 \left(6c_1 + 6^3c_2 + 6^5c_3 + \cdots + 6^{63}c_{32}\right) \\\\ \implies 32^{37^{32}} = 32^{1 + 6(\cdots)} = 32\cdot\left(32^{(\cdots)}\right)^6$