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krek1111 [17]
3 years ago
15

What the precents and decimals of these fraction 5/8. 66/200. 5 2/5. 2 7/16. has to be simplyed

Mathematics
1 answer:
Anit [1.1K]3 years ago
4 0
To find the percent, divide the top number by the bottom. ex:
1/2 equals 1 divided by 2.
when you put this in a calculator, it will say .5 , this means it is 50% ( you move the decimal over 2 to the right)
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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
2 years ago
How do I solve ?? It’s cylinders
UkoKoshka [18]
V= 3.14r^2h
10/2= r
5^2= 25
(3.14)(25)(6)
V=471
3 0
3 years ago
16) Please help with this question. Please answer with normal text (Ex: pi/4,etc... not math settings).
svetlana [45]
We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2) 

Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))

If you simplify this, you get:
0+cos(x)/0-sin(x) 

Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)
6 0
3 years ago
Jimmy needs to rent a banquet hall for a charity dinner. Facility A charges customers a one-time fee of $500 plus $15 for every
I am Lyosha [343]
I would believe it to be option 2 Because (m) will be meals but for it to be less would be 500+15m>1000+5m
4 0
2 years ago
Whats the meaning of Radius?
rodikova [14]

Answer:

The radius is the line from the center of the circle to the side of the circle

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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