3 years ago

Bring the help!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

matrenka [14]3 years ago

8 0

The answer to the problem is -8.58.

You might be interested in

Please answer asap don’t troll!!!

zubka84 [21]

you will do as you said yes yes i is fine with me but i’m going on the right now so bye bye u it was correct that

8 0

3 years ago

Convert 25 miles into kilometres

Airida [17]

Answer:

1 miles= 1.609km

so, 25x1.609 = 40.225km

3 0

2 years ago

Given f(x) = 9-3x and g(x) = - 6x + 3, find (f + g)(x).

disa [49]

Answer:4

Step-by-step explanation:

6 0

2 years ago

The circumference of a circle is 12pi feet. What is the diameter?

zaharov [31]

Answer:The diameter is 12cm

Step-by-step explanation:

4 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,

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

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