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dezoksy [38]
2 years ago
10

Calculate volume of a planet if radius is 6050 and answer in scientific notation

Mathematics
1 answer:
Gre4nikov [31]2 years ago
6 0

Answer:

9.3*10^11

Step-by-step explanation:

4/3πr^3=9.3*10^11

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4x - 6 + x + 3<br><br> ASAP BRAINLIEST
Pachacha [2.7K]

Answer:

5x - 3

Step-by-step explanation:

Add like terms: (4x + x) + (-6 + 3) = 5x - 3

3 0
3 years ago
Read 2 more answers
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
Can u help me do this
chubhunter [2.5K]
There will be 2 books left over if he fills each box.
7 · 4 = 28
30 - 28 = 2

Good Luck
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3 years ago
It takes 2 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, 13 inches tall. How long will it take the same h
spin [16.1K]

Answer:

46.74 minutes

4 0
3 years ago
A ladder leaning against a building makes an angle of 65 degrees with the ground and reaches a point on the building 20 feet abo
lesya692 [45]
22 feet. Using the sine rule theory: 20/sin(65)=x/sin(90). You know that it's 90 degrees because you assume the ground and the building make a 90 degree angle. So, you cross multiply and get 20sin(90)/xsin(65) and solve for x.
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3 years ago
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