2 years ago

Identify the equation of a line in slope-intercept form that is parallel to y = 2.5x + 5 and passes through (2, 3).

Mathematics

1 answer:

Feliz [49]2 years ago

7 0

Answer:

y=2.5x-2

Step-by-step explanation:

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baker has 3 1/2 bags of flour. each bag holds 5 1/3 pounds of flour . how many pounds of flour does the baker have in all.

vlada-n [284]

3.5 since its asking how many he has, he has 3.5 its not askint how many bags he needs or how much a bag holds

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2 years ago

Read 2 more answers

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,

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