2 years ago

Help meeeeeee pleasee

Mathematics

1 answer:

k0ka [10]2 years ago

8 0

Answer:

12x6=42 sorry if im wrong

Step-by-step explanation:

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natta225 [31]

Answer:

1/3

Step-by-step explanation:

4 0

2 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,

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

where the $c_i$ are positive integer coefficients from the binomial expansion. By Euler's theorem,

$\left(32^{(\cdots)\right)^6 \equiv 1 \pmod9$

so that

$32^{37^{32}} \equiv 32\cdot1 \equiv \boxed{5} \pmod9$

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2 years ago

How much dollars is in 14 quarters and 5 nickels

marishachu [46]

Answer:

$4.25

Step-by-step explanation:

4 quarters is 1 dollar

1 nickel is 5 cent

14 divided by 4 = 3.5

3.5 + 5 times 5 = $4.25

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Measuring tool or observer of force being applied to the ball

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3 years ago

a salt truck drops 39 kilograms of salt per minute. how many grams of salt does the truck drop per second

PilotLPTM [1.2K]

Multiply by 1 minute/60 seconds

the minutes cancel out and youre left with 0.65 kilograms per second

you then multiply by 1000 grams/1 kilogram

the kilograms cancel out and youre left with 650 grams per second

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3 years ago

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