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Lapatulllka [165]
3 years ago
11

What is the coefficient of the second term of the trinomial?

Mathematics
2 answers:
Schach [20]3 years ago
6 0
This is easy since you are already given the binomials. Just multiply them together.
(3x + 3)(3x + 3)
9x^2 + 9x + 9x + 9
9x^2 + 18x + 9.
The coefficient of term b is 18, so B = 18
spayn [35]3 years ago
3 0

Answer:


Step-by-step explanation:


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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
Kara is training for a 5 kilometer race. On the first day, she runs 0.75 kilometer What percent of the total distance does she r
svetoff [14.1K]

Answer:15 percent

Step-by-step explanation:

(.75) / 5 = 3/20 = 15/100 = 15%

8 0
3 years ago
A wheelchair access ramp has an angle of elevation of 41 degrees. If the ramp reaches to the top of a 26 inch high porch, how lo
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Answer:

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Step-by-step explanation:

7 0
3 years ago
Help Please.<br><br> Let f(x)=186+5e−0.1x . What is f(6) ?
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The answer is 186+5e-0.6

7 0
3 years ago
For which pairs of numbers is 6 a common factor?
Katena32 [7]
Commen factor means you can get integers after division.

A. 20 is not correct

B. Correct

C. Correct

D. 56 is not correct
7 0
2 years ago
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