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2 years ago

Is the quotient 2/3 • 3/8 grater or less than 1

Mathematics

1 answer:

satela [25.4K]2 years ago

4 0

the answer is less than because when you multiple 2/3 by 3/8 you get 6/24 but then you simplify and you get 1/4 which is less than 1

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My question is this can you help me

jok3333 [9.3K]

Answer:

It's 1/4

Step-by-step explanation:

It's closer to 0 than the other fractions

4 0

2 years ago

The closure property states that the sum of two polynomials is a .

bija089 [108]

Is a polynomial

hope this helped

8 0

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.

5 0

2 years ago

A national military bureau for a certain country collects data on active members in the military. Results are published in a nat

Artemon [7]

Answer:

9.193259%

Step-by-step explanation:

In order to obtain the percentage of military members in the reserves who are Black, we will have to multiply the percentage of Black military members in the reserve by the percentage of military members in the reserve. This is calculated as follows:

Military members in the reserves who are Black (%) = 77.1771% × 11.9119%

= 9.193259%

Therefore, he percentage of military members in the reserves who are Black is 9.193259% .

Example

For example, let assume the total number of active members in the military is 100.

To obtain the number of military members who are in the reserves, we multiply 77.1771% by 100. This gives us 78 approximately.

To obtain the number of military members in the reserves who are Black, we multiply 11.9119% by 78 we got above who are active military members in the reserves. This gives us 9 members approximately.

I wish you the best.

3 0

3 years ago

Read 2 more answers

What is perimeter? What is area? How can you find the perimeters and areas of triangles, parallelograms, rectangles, squares, an

marusya05 [52]

The perimeter of a figure is the total distance around the edge of the figure. The area of a flat, or plane figure is the number of unit squares that can be contained within it. The unit square is usually some standard unit, like a square foot or a square inch. I don't really know the rest but I did the first two lol

3 0

2 years ago