2 years ago

Module six review and discussion-based assessment

Mathematics

2 answers:

netineya [11]2 years ago

7 0

Answer:

okay what's your question?

Step-by-step explanation:

Oksana_A [137]2 years ago

6 0

Uhhh ok what is that

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If 5 people receive 8 brownies, what is the fraction form of how many brownies each person will equally receive

Rufina [12.5K]

8 brownies divided by 5 people=8/5=1 3/5

8 0

1 year 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

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

7 0

1 year ago

What is the equation of the following line?<br><br> (-3,9)<br><br> (0,0)

elena55 [62]

Answer:

$y=-3x$

Step-by-step explanation:

8 0

1 year ago

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) Every two out of three kids sang at the talent show. What percent of the kids did not sing at the talent show? (round)

SCORPION-xisa [38]

The answer is 33 percent

hope this helps!

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2 years ago

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What are some of the cities where jazz first developed during the 1920s and 1930s? Why do you think these particular cities beca

Rus_ich [418]

Answer:

Although New Orleans is usually credited with being the birthplace of jazz, similar music also began happening not long after in other cities, including Chicago, Kansas City, and Saint Louis.

Step-by-step explanation:

hope it helps but it is not all the answers .

6 0

2 years ago

Module six review and discussion-based assessment​

Module six review and discussion-based assessment