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2 years ago

Which expression is equivalent to -6(-2/3+2x)

Mathematics

2 answers:

lys-0071 [83]2 years ago

6 0

4-12x hope this helps

Elenna [48]2 years ago

5 0

Answer:

4−12x

Step-by-step explanation:

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-5(p+11)<br><br><br> help please

zmey [24]

Answer:

-5p-55

Step-by-step explanation:

multiply -5 by p and -5 by 11

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3 years ago

Simplify these problems to help me understand on how to do the problems

KATRIN_1 [288]

Answer:

Step-by-step explanation:

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3 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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3 years ago

The exam scores of all 500 students were recorded and it was determined that these scores were normally distributed. If Jane's s

olganol [36]

The answer to this is D i did the math i am positive it is right

7 0

3 years ago

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A circle has a sector with area 33 pi and a central angle of 11/6 pi radians. What is the area of a circle?

Mashutka [201]

Answer:

36π

Step-by-step explanation:

The area of a circle is given as:

$A = \pi r^2$

where r = radius of the circle

The area of a sector of a circle is given as:

$A_s = \frac{\alpha }{2\pi} * \pi r^2$

where α = central angle in radians

Since $\pi r^2$ is the area of a circle, A, this implies that:

$A_s = \frac{\alpha }{360} * A$

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.

Therefore, the area of the circle, A, is:

$33 \pi = \frac{\frac{11 \pi}{6} }{2 \pi} * A\\\\33\pi = \frac{11}{12} * A\\\\=> A = \frac{33\pi * 12}{11}\\ \\A = \frac{396 \pi}{11} \\\\A = 36\pi$

The area of the circle is 36π.

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3 years ago

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