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igomit [66]
3 years ago
8

Variable expression for 3 times the sum of x and 2

Mathematics
1 answer:
Lynna [10]3 years ago
6 0
3(x+2)
Remember in expressions there’s no equals sign
Hope this helps!!
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Which could be the area of a face of the rectangular prism?
Alex17521 [72]

Answer:

6m squared

Step-by-step explanation:

cause one of the faces is 2 times 3 and that is 6m squared

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3 years ago
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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
Which of the following best defines the quantities that should be measured to find Andy's driving speed? The quantity of time me
chubhunter [2.5K]

The quantity of distance measures in miles depends on the quantity of time measured in hours. is your best choice.

The quantity of time is an independent variable, as it continues to go no matter how much you travel, and so it is the independent.

The quantity of distance depends on your speed and time, and because it depends on these two factors, it is the dependent.

hope this helps

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What is the equivalent fraction for 9/25
Hatshy [7]
Equivalent Fractions for 9/25:
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What is 2+2???????????????????????????????????
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2 + 2 equals to 4

You can do it on the calculator too.

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