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3 years ago

Round 743214 to the nearest ten thousand

Mathematics

1 answer:

MrRa [10]3 years ago

4 0

The answer is 740,000. I hope this helps!

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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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3 years ago

In the table, what are the domain and range of the function relating the pressure and volume of an ideal gas at a constant tempe

jasenka [17]

In the table what are the donain and range of the function relating the pressure and volume of an idea

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3 years ago

two irregular pentagons are constructed so that every side has length of 1 unit. Does this necessarily mean that these figures a

algol [13]

Answer:

la repuedta es la tila idnjxnfozmsuzndybdjsnshsbsb

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3 years ago

Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of

vovangra [49]

Answer:

their down payment is 30%

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The height of a pyramid-shaped sculpture with a square base is one half the length of each side. The volume of the sculpture is

Nimfa-mama [501]

The volume of a pyramid is V = 1/3 x base length^2 x height

Let X = base length.

We are told the height is 1/2 the length, so height would be 1/2x

Now we have:

972 = 1/3 * x^2 * 1/2x

Simplifying we get:

972 = 1/6x^3

Multiply both sides by 6:

5832 = x^3

Take the cube root of both sides:

x = 18

The length of the base is 18 inches.

The height is 1/2 that, so the height would be 18/2 = 9 inches.

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4 years ago