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3 years ago

For brainly and points

Mathematics

1 answer:

Anna [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Given

$\frac{2}{3}$ m + 5 = 17 ( subtract 5 from both sides )

$\frac{2}{3}$ m = 12 ( multiply both sides by 3 to clear the fraction )

2m = 36 ( divide both sides by 2 )

m = 18 → C

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Did I do this correctly?

quester [9]

Answer:

yes

Step-by-step explanation:

you did it right

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2 years ago

Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the co

jeka57 [31]

Answer:

<h2>A. The series CONVERGES</h2>

Step-by-step explanation:

If $\sum a_n$ is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.

$\lim_{n \to \infty} |\frac{a_n_+_1}{a_n}| = \rho$

If $\rho$ < 1, the series converges absolutely

If $\rho > 1$ , the series diverges

If $\rho = 1$ , the test fails.

Given the series $\sum\left\ {\infty} \atop {1} \right \frac{n^2}{5^n}$

To test for convergence or divergence using ratio test, we will use the condition above.

$a_n = \frac{n^2}{5^n} \\a_n_+_1 = \frac{(n+1)^2}{5^{n+1}}$

$\frac{a_n_+_1}{a_n} = \frac{{\frac{(n+1)^2}{5^{n+1}}}}{\frac{n^2}{5^n} }\\\\ \frac{a_n_+_1}{a_n} = {{\frac{(n+1)^2}{5^{n+1}} * \frac{5^n}{n^2}\$

$\frac{a_n_+_1}{a_n} = {{\frac{(n^2+2n+1)}{5^n*5^1}} * \frac{5^n}{n^2}\\$

aₙ₊₁/aₙ =

$\lim_{n \to \infty} |\frac{ n^2+2n+1}{5n^2}| \\\\Dividing\ through\ by \ n^2\\\\\lim_{n \to \infty} |\frac{ n^2/n^2+2n/n^2+1/n^2}{5n^2/n^2}|\\\\\lim_{n \to \infty} |\frac{1+2/n+1/n^2}{5}|\\\\$

note that any constant dividing infinity is equal to zero

$|\frac{1+2/\infty+1/\infty^2}{5}|\\\\$

$\frac{1+0+0}{5}\\ = 1/5$

$\rho = 1/5$

Since The limit of the sequence given is less than 1, hence the series converges.

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2 years ago

What is the equation of the blue graph?

Tanya [424]

G(x) = (x-2)^3
move F(x) = x^2 to the right 2 units

answer
C. G(x) = (x-2)^3

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3 years ago

HELP!!!!!!

Digiron [165]

Answer:

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Step-by-step explanation:

3 movies per month. So 3 n per m.

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2 years ago

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What is the greatest common factor of 7 and 21

forsale [732]

Answer:

Step-by-step explanation: calculate the prime factors of 7 and 21, than find the greatest common factor

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2 years ago

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