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Cerrena [4.2K]
2 years ago
8

Rewrite the equation by completing the square.

Mathematics
1 answer:
ser-zykov [4K]2 years ago
4 0

Answer:

4 × 2 + 20×

Step-by-step explanation:

please your questions are mixed up

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What is the value of 5^4 over 5^6
Tasya [4]
5^4
------
5^6
625
-----
15,625
625/15625=25

7 0
3 years ago
99 POINT QUESTION, PLUS BRAINLIEST!!!
sattari [20]
We know, that the <span>area of the surface generated by revolving the curve y about the x-axis is given by:

\boxed{A=2\pi\cdot\int\limits_a^by\sqrt{1+\left(y'\right)^2}\, dx}

In this case a = 0, b = 15, y=\dfrac{x^3}{15} and:

y'=\left(\dfrac{x^3}{15}\right)'=\dfrac{3x^2}{15}=\boxed{\dfrac{x^2}{5}}

So there will be:

A=2\pi\cdot\int\limits_0^{15}\dfrac{x^3}{15}\cdot\sqrt{1+\left(\dfrac{x^2}{5}\right)^2}\, dx=\dfrac{2\pi}{15}\cdot\int\limits_0^{15}x^3\cdot\sqrt{1+\dfrac{x^4}{25}}\,\, dx=\left(\star\right)\\\\-------------------------------\\\\&#10;\int x^3\cdot\sqrt{1+\dfrac{x^4}{25}}\,\,dx=\int\sqrt{1+\dfrac{x^4}{25}}\cdot x^3\,dx=\left|\begin{array}{c}t=1+\dfrac{x^4}{25}\\\\dt=\dfrac{4x^3}{25}\,dx\\\\\dfrac{25}{4}\,dt=x^3\,dx\end{array}\right|=\\\\\\

=\int\sqrt{t}\cdot\dfrac{25}{4}\,dt=\dfrac{25}{4}\int\sqrt{t}\,dt=\dfrac{25}{4}\int t^\frac{1}{2}\,dt=\dfrac{25}{4}\cdot\dfrac{t^{\frac{1}{2}+1}}{\frac{1}{2}+1}= \dfrac{25}{4}\cdot\dfrac{t^{\frac{3}{2}}}{\frac{3}{2}}=\\\\\\=\dfrac{25\cdot2}{4\cdot3}\,t^\frac{3}{2}=\boxed{\dfrac{25}{6}\,\left(1+\dfrac{x^4}{25}\right)^\frac{3}{2}}\\\\-------------------------------\\\\

\left(\star\right)=\dfrac{2\pi}{15}\cdot\int\limits_0^{15}x^3\cdot\sqrt{1+\dfrac{x^4}{25}}\,\, dx=\dfrac{2\pi}{15}\cdot\dfrac{25}{6}\cdot\left[\left(1+\dfrac{x^4}{25}\right)^\frac{3}{2}\right]_0^{15}=\\\\\\=&#10;\dfrac{5\pi}{9}\left[\left(1+\dfrac{15^4}{25}\right)^\frac{3}{2}-\left(1+\dfrac{0^4}{25}\right)^\frac{3}{2}\right]=\dfrac{5\pi}{9}\left[2026^\frac{3}{2}-1^\frac{3}{2}\right]=\\\\\\=&#10;\boxed{\dfrac{5\Big(2026^\frac{3}{2}-1\Big)}{9}\pi}

Answer C.
</span>
3 0
3 years ago
Please help me!!! i hate math well most of it any way lol.
Alja [10]

Answer:

y= 2x

Y = total earned. X= the number of cups sold.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help me someone !!
adelina 88 [10]

Answer:

6^{\frac{-1}{3}}

Step-by-step explanation:

put them both in exponential form and then since they are both base 6, you can add the exponents.

6^{\frac{1}{6}} *6^{\frac{-3}{6} }

4 0
3 years ago
The Cinema Center consists of four theaters: Cinemas I, II, III, and IV. The admission price for one feature at the Center is $5
zzz [600]

Answer:

a) Matrix B = \left[\begin{array}{c}5\\7\\9\end{array}\right]

b) Matrix AB = \left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]

c) $12,695

Step-by-step explanation:

Matrix A = \left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right]

a) Matrix B = \left[\begin{array}{c}5\\7\\9\end{array}\right]

Gross Receipt = AB

\left[\begin{array}{ccc}225&110&70\\95&160&225\\280&65&110\\0&240&225\end{array}\right] . \left[\begin{array}{c}5\\7\\9\end{array}\right] = \left[\begin{array}{c}2525\\3620\\2845\\3705\end{array}\right]

c) Total revenue is the sum of receipts from 4 cinemas given in part b

Hence,

Total revenue = $2525 + $3620 + $2845 + $3705 = $12,695

3 0
3 years ago
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