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Morgarella [4.7K]
3 years ago
15

How to do slope intercept form again?!

Mathematics
1 answer:
earnstyle [38]3 years ago
3 0
I don't know what is the correct answer
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What is 5/3 to the power of 2
OleMash [197]
(5/3)= 1.667
1.667*1.667= 2.778
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3 years ago
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What is x minus 4.7 divided by 3 =-8
AleksandrR [38]
X= -193 over 30
Or X= -6.43 recurring
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3 years ago
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3x = 1/9 what is x<br> Please respond quick
SOVA2 [1]
X=1/27 decimal form=0.037 repeating
3 0
2 years ago
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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
Your fitness tracker overestimates the number of steps you take by 5%. The trackers indicates that you took 7350 steps today. Wr
ivolga24 [154]

Answer:

7,000

Step-by-step explanation:

The number of actual steps is x.

x + x(.05) = 7350    This is actual steps plus the extra 5% equals the number shown on the tracker.

Pull out x

x (1+.05) = 7350

x (1.05) = 7350     Divide by 1.05

(x (1.05))/1.05 = 7350/1.05

x = 7,000

5 0
3 years ago
Read 2 more answers
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