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Novosadov [1.4K]
3 years ago
9

Can anyone solve this, 4(-8m+5)=-32m-26

Mathematics
2 answers:
REY [17]3 years ago
7 0

Answer: No solution

Step-by-step explanation:

<u> Given expression</u>

4 (-8m + 5) = -32m - 26

<u>Expand the parentheses and apply the distributive property</u>

-32m - 20 = -32m - 26

<u>Add 32m on both sides</u>

-32m - 20 + 32m = -32m - 26 + 32m

\boxed{-20\neq -26}

Since the resulting integer on both sides does not equal, this means the equation has <u>no solution</u>.

Hope this helps!! :)

Please let me know if you have any questions

MakcuM [25]3 years ago
4 0
There is no solution because it would be a negative number.
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Let f be defined by the function f(x) = 1/(x^2+9)
riadik2000 [5.3K]

(a)

\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}

Substitute <em>x</em> = 3 tan(<em>t</em> ) and d<em>x</em> = 3 sec²(<em>t </em>) d<em>t</em> :

\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt

=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}

(b) The series

\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}

converges by comparison to the convergent <em>p</em>-series,

\displaystyle\sum_{n=3}^\infty\frac1{n^2}

(c) The series

\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}

converges absolutely, since

\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}

That is, ∑ (-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ converges absolutely because ∑ |(-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ| = ∑ (<em>n</em> ² + 9)/<em>e</em>ⁿ in turn converges by comparison to a geometric series.

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3 years ago
Please Help!!!
JulsSmile [24]

Answer:

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8 0
2 years ago
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Dennis_Churaev [7]

Answer:

The value is 8500

Step-by-step explanation:

Of means multiply and is means equals

6% * V = 510

Change percent to decimal form

.06V = 510

Divide each side by .06

V = 510/.06

V =8500

6 0
3 years ago
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I need explanations. I don't understand this. Please click on the picture.
AlekseyPX
1. find the area of the two triangles, including the shaded section. the formula for this is a=1/2bh

the height and base are both 24 inches. this is because you add the 10 from the side of the square to the 14 that is given

so:

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since there are two triangles, you would multiply the area by 2

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a=576 sq. inches

now, since you only need the unshaded section, you have to take away the shaded section, which is a square. to do this, you must calculate the area of the square and take it away from the area of both triangles.

a=576-(lw)
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