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Doss [256]
3 years ago
5

Which of the following is an advantage to refinancing?

Mathematics
1 answer:
Artemon [7]3 years ago
5 0

Answer:

c it offers lower interest rates

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the height of scale model building is 15 in. the scale is 5 in. to 32 i. find the height of the actual building in inches and in
zheka24 [161]
Inches =15,feet =180
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3 years ago
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Does this table represent a function? Why or why not?<br><br> Answers above
Mashutka [201]

Answer:

No, because a x-value repeats.

Step-by-step explanation:

A function has x-values that correspond to exactly one y-value. In the given table, <u>the number '5' appears twice as an x-value</u>. This means that the relation is not a function, "because one x-value corresponds to two different y-values."

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2 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.

5 0
3 years ago
Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Check all that apply. (x + 1) (2x + 1) (x + 2) (5x
andreyandreev [35.5K]

Answer:

(5x-2) and (x+2)

Step-by-step explanation:


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3 years ago
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Don’t answer this please only for my friends.l
valentinak56 [21]

Answer:

no

Step-by-step explanation:

hahaahhaahhahaahahahahahhaqha

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3 years ago
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