What conversion factor should be used to convert from gigaliters to liters?

The TV has a volume of 2,808 in³. The width measures 24 inches, and the height measures 18 inches. What is the depth of the TV?

Klio2033 [76]

Answer:

quisiera ayudarte pero no hablo inglés

4 0

3 years ago

Marine biologists have determined that when a shark detectsthe presence of blood in the water, it will swim in the directionin w

siniylev [52]

Solution :

a). The level curves of the function :

$C(x,y) = e^{-(x^2+2y^2)/10^4}$

are actually the curves

$e^{-(x^2+2y^2)/10^4}=k$

where k is a positive constant.

The equation is equivalent to

$x^2+2y^2=K$

$\Rightarrow \frac{x^2}{(\sqrt K)^2}+\frac{y^2}{(\sqrt {K/2})^2}=1, \text{ where}\ K = -10^4 \ln k$

which is a family of ellipses.

We sketch the level curves for K =1,2,3 and 4.

If the shark always swim in the direction of maximum increase of blood concentration, its direction at any point would coincide with the gradient vector.

Then we know the shark's path is perpendicular to the level curves it intersects.

b). We have :

$\triangledown C= \frac{\partial C}{\partial x}i+\frac{\partial C}{\partial y}j$

$\Rightarrow \triangledown C =-\frac{2}{10^4}e^{-(x^2+2y^2)/10^4}(xi+2yj),$ and

$\triangledown C$ points in the direction of most rapid increase in concentration, which means $\triangledown C$ is tangent to the most rapid increase curve.

$r(t)=x(t)i+y(t)j$ is a parametrization of the most $\text{rapid increase curve}$ , then

$\frac{dx}{dt}=\frac{dx}{dt}i+\frac{dy}{dt}j$ is a tangent to the curve.

So then we have that $\frac{dr}{dt}=\lambda \triangledown C$

$\Rightarrow \frac{dx}{dt}=-\frac{2\lambda x}{10^4}e^{-(x^2+2y^2)/10^4}, \frac{dy}{dt}=-\frac{4\lambda y}{10^4}e^{-(x^2+2y^2)/10^4}$

∴ $\frac{dy}{dx}=\frac{dy/dt}{dx/dt}=\frac{2y}{x}$

Using separation of variables,

$\frac{dy}{y}=2\frac{dx}{x}$

$\int\frac{dy}{y}=2\int \frac{dx}{x}$

$\ln y=2 \ln x$

⇒ y = kx^2 for some constant k

but we know that $y(x_0)=y_0$

$\Rightarrow kx_0^2=y_0$

$\Rightarrow k =\frac{y_0}{x_0^2}$

∴ The path of the shark will follow is along the parabola

$y=\frac{y_0}{x_0^2}x^2$

$y=y_0\left(\frac{x}{x_0}\right)^2$

7 0

3 years ago

I NEED HELP WITH THIS PLEASEEE!!!!!

Galina-37 [17]

Answers:
The area for the square on the left is 81m^2. This is found because all sides of this square are the same, so the length and width are the same. Just multiply 9 x 9.

The area for the triangle is 31.5m^2. We find the left side is 9 meters because the triangle shares the same side as the square on the left side. We also find the bottom side is 7 because that is the length of each side of that square because all sides on a square is the same. We then multiply 9 times 7, getting 63, we divide this by 2 because it’s a triangle.

The square on the right has the area of 225 because both length and width is 15.

4 0

3 years ago

The class sold 5 boxes of chocolate. jay sold 5, susan sold 8 james sold 9 how many did josh sell?

GarryVolchara [31]

Answer:

josh sold 3

Step-by-step explanation:

5 0

3 years ago

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Hakuna Matata!

geniusboy [140]

Answer: Choke me, like you hate me

But you love me

Lowkey wanna date me

When you f.ck me

Touch me with the lights off, and my chains on

Baby, I'm not the right one you should wait on

She's a freak, lil' bad h-o-e

Gaspare told me kill it, I said lemme grab my death note

She pull me in, like a lasso

Sayin' that she know me, I don't even know her though

Ain't no dad-dy issues, then I won't even bother

She say I kill her cat, like I'm Luka Magnotta

Real bad b.tch, p.ssy bald like Saitama

They used to hate me, now they want me

B.tch, I feel like I'm Gaara

Girl, you f.ckin' with the wrong one

F.ck his team, f.ck your clique, b.tch I'm on one

F.ck your stream, f.ck your clip, you ain't saw one

Got your b.tch on my d.ck, like she want one

Step-by-step explanation: STAN CORPSE HUSBAND 2021

8 0

3 years ago

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