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3 years ago

In football, the team that has the ball has four chances to gain at least ten yards, if

Mathematics

1 answer:

guajiro [1.7K]3 years ago

4 0

Answer:

A, C, D I think

Step-by-step explanation:

Hope this helps and feel free to answer my recent question ! :)

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16.75 + 3.2d – 4 + 6d = 51.39

Naya [18.7K]

It’s 4.2 because it’s and given and you add then yeah you get the point

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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.

5 0

3 years ago

Find the volume of a cylinder that has a diameter of 6 and a height of 9. Leave your answer in terms of (pie)

laiz [17]

V = π x r² x h

V= π x 6² x9

V= 324 π

5 0

3 years ago

Read 2 more answers

Picture is attached. help

Svetradugi [14.3K]

True. Polynomial means consisting of several terms. A<span>n expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variables.
For example:
f(x) = x3 + 2x 1/2

Since there are two parts to this equation, it is polynomial.
I hope I helped.</span>

8 0

3 years ago

Questions:<br>1) 2x2 + 5x + 2 = 0

xz_007 [3.2K]

Answer:

x = -1/2 and -2

Step-by-step explanation:

Solve for <em>x</em>: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Using the quadratic formula: Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

7 0

3 years ago

Read 2 more answers