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2 years ago

Heather wants to make a 36% acid solution.

Mathematics

1 answer:

bonufazy [111]2 years ago

4 0

Answer:

.72x + .27 = .36(x + 3)

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Consider the force field and circle defined below.

grin007 [14]

By Green's theorem,

$\displaystyle\int_{x^2+y^2=9}\vec F(x,y)\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(xy)}{\partial x}-\frac{\partial(x^2)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=\iint_Dy\,\mathrm dx\,\mathrm dy$

where $C$ is the circle $x^2+y^2=9$ and $D$ is the interior of $C$ , or the disk $x^2+y^2\le1$ .

Convert to polar coordinates, taking

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta$

Then the work done by $\vec F$ on the particle is

$\displaystyle\iint_Dy\,\mathrm dx\,\mathrm dy=\int_0^{2\pi}\int_0^3(r\sin\theta)r\,\mathrm dr\,\mathrm d\theta=\left(\int_0^{2\pi}\sin\theta\,\mathrm d\theta\right)\left(\int_0^3r^2\,\mathrm dr\right)=\boxed0$

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2 years ago

Draw an example of a line with a consistent slope (nonvertical straight line). Add 2 slope triangles and provide their slopes to

Eva8 [605]

Answer:

no entiendo :C

Step-by-step explanation:

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2 years ago

Find a cubic function with the given zeros. -6, 7, -4

Nookie1986 [14]

$f(x)=a(x-x_1)(x-x_2)(x-x_3)\\\\x_1=-6;\ x_2=7;\ x_3=-4\\\\f(x)=(x+6)(x-7)(x+4)=(x^2-x-42)(x+4)\\\\=x^3+3x^2-46x-168$

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2 years ago

Work out the length of CD <br> Answer to 3 significant figures

vladimir1956 [14]

Answer:

Step-by-step explanation:

I can be wrong but i most likely sure it is correct because a triangle is 180 degrees you have to add 102 with 52 take that total and subtract it with 180 to find that angle is what you need to find the length. Again i am not sure but might be right.

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3 years ago

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Simplify.<br> 10y-5y<br> Tfgfffgghjjjjb

sweet [91]

Its 5y sorry if it’s wrong

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2 years ago