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kvv77 [185]
3 years ago
15

FREEBEE POINTSSSSSSSSSSSSSSSSSS

Mathematics
2 answers:
dmitriy555 [2]3 years ago
8 0

Answer:

b 12 hats for $48

Step-by-step explanation:

hram777 [196]3 years ago
4 0

Answer:

I think that the answer is B.

Step-by-step explanation:

Hope this helps :)

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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
1 year ago
In ΔDEF, what is sin D, in simplified form?
Igoryamba

Answer: second option.

Step-by-step explanation:

You must apply sin\alpha=\frac{opposite}{hypotenuse}

Then, given the right triangle and the angle D, the opposite side and the hypotenuse of the triangle are the following:

opposite=20\\hypotenuse=25

Therefore, when you substitute values, you have:

sinD=\frac{20}{25}

Reduce the fraction, then you obtain:

 sinD=\frac{4}{5}

5 0
3 years ago
Read 2 more answers
Ashley is a software saleswoman. Her base salary is $1,500, and she makes an additional $60 for every copy pf history is fun she
SSSSS [86.1K]

Answer:

2,880

Step-by-step explanation:

P + 60N = x

1500 + 60(23) = x

1500 + 1380 = x

2880 = x

7 0
2 years ago
Which exponential function goes through the points (1, 8) and (4, 64)?
Mama L [17]
An exponential function can be expressed as:

y=ab^x  we have two points so we can solve

64/8=(ab^4)/(ab^1)

8=b^3

2=b, now we have:

y=a(2^x), using point (4,64)

64=a(2^4)

64=16a

4=a so

y=4(2^x)
6 0
3 years ago
One less than twice a number is four less than its square.
IrinaK [193]

Answer:

The correct answer is 3.

8 0
2 years ago
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