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3 years ago

Necesito ayuda con el ejercicio de abajo, es de Física

Mathematics

1 answer:

Kryger [21]3 years ago

4 0

No sé qué forma quieres que lo contestes pero es 278235/133 !

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The table shows the number of practice problems completed in 30 minutes in three samples of 10 randomly selected math students.

horsena [70]

Answer: C. a prediction based on the data is reliable, because the means of the samples are close together.

Step-by-step explanation:

7 0

3 years ago

Simplification 3x-y+2z+2x+3y-z

Nastasia [14]

Answer: $5x + 2y + z$

Step-by-step explanation:

We will collect like terms, then we will add each variable up through addition and subtraction (simplify).

Step 1: Collect like terms.

$(3x + 2x) + (-y + 3y) + (2z - z)$

Step 2: Simplify the expression.

$5x + 2y + z$

~I hope I helped you :)~

6 0

3 years ago

Read 2 more answers

Coral buys a house for £234 900 she pays a 10% deposit. Work out the amount of deposit paid by Carol.

Pavel [41]

The solution would be like this for this specific problem:

Given:

Total amount of the house = £234,900

Find:

Amount of deposit paid = ?

So first, we divide the total amount of the house by the percent of deposit that Carol paid.

= £234,900 / 10%

= £23,490

Another way to solve this is by converting the percent of the deposit into a decimal. We do this by dividing the percentage amount by 100.

= 10% / 100%

= 0.1

Next, we multiply the decimal equivalent of the percentage to the total amount of the house.

= £234,900 * 0.1

= £23,490

So, the amount of deposit that was paid by Carol is £23,490.

6 0

4 years ago

Evaluate the expression [(3^-5)(3^4)]^3

Oksi-84 [34.3K]

Answer:

1/27

Step-by-step explanation:

[(3^-5)(3^4)]^3

= [(3^(-5+4)]^3

= [3^-1]^3

= 3^-3

= 1/3^3

= 1/27

7 0

4 years ago

Read 2 more answers

G verify that the divergence theorem is true for the vector field f on the region

Alenkasestr [34]

$\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1$

Converting to spherical coordinates, we have

$\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi$

On the other hand, we can parameterize the boundary of $E$ by

$\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\pi$ . Now, consider the surface element

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv$

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

$\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv$
$=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi$

as required.

3 0

4 years ago