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4 years ago

Given: 2x + 3y = 6. What is the y-intercept?

Mathematics

1 answer:

Nitella [24]4 years ago

6 0

<span>Substituting x=0 , we get
2*0+3y = 6
3y=6
y=2 is the y intercept.</span>

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A piggy bank of coins has quarters and dimes totaling $2.90. If there are 8 more dimes than quarters, how many of each coin is i

xenn [34]

Answer:

12 dimes and 4 quarters

Step-by-step explanation:

If a quarter is 25 cents and a dime is 10 cents then:

There are at least 8 dimes, so we have at least 80 cents

And we know there is only 8 more dimes than quarters so the ratio 12 dimes: 4 quarters tells us that this expression is correct

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2 years ago

Calculate the integral s f · ds, where s is the entire surface of the solid half ball x2 + y2 + z2 ≤ 1, z ≥ 0, and f = (x + 3y5)

SSSSS [86.1K]

The divergence theorem applies since $\mathcal S$ is a closed surface. We have

$\displaystyle\iint_{\mathcal S}\mathbf f(x,y,z)\cdot\mathrm d\mathbf S=\iiint_{\mathcal V}\nabla\times\mathbf f(x,y,z)\,\mathrm dV$

where $\mathcal V$ is the space enclosed by the surface $\mathcal S$ . The divergence of the given vector field is

$\nabla\times\mathbf f(x,y,z)=\dfrac{\partial(x+3y^5)}{\partial x}+\dfrac{\partial(y+10xz)}{\partial y}+\dfrac{\partial(z-xy)}{\partial z}=1+1+1=3$

So we can write the volume integral (in spherical coordinates) as

$\displaystyle3\iiint_{\mathcal V}\,\mathrm dV=3\int_{\varphi=0}^{\varphi=\pi/2}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=1}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=\frac{4\pi}3$

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3 years ago

I would also love an explanation!

boyakko [2]

Answer:you go up one over three

Step-by-step explanation:

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3 years ago

While visiting Italy, Tyrone bought an Italian soccer shirt with a cost of 75 euros. If e represents the cost in EUROS, the cost

maria [59]

The answer will be 111.75
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3 years ago

Find the slip of every line that is parallel to the graph of the equation x-8y=-1

LenaWriter [7]

Answer:

1/8

Step-by-step explanation:

x-8y=-1

First, put the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)

-8y = -x-1

y = 1/8x +1/8

The slope is 1/8 and the y intercept is 1/8

The slope for parallel lines is the same for all parallel lines

1/8

8 0

3 years ago