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3 years ago

Please help pic below

Mathematics

1 answer:

kvasek [131]3 years ago

7 0

Πr^2=area 9=r 9^2=81π=254.47

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What is the equation of the line that passes through the point (-1, -7) and has a<br> slope of 2?

o-na [289]

Answer:

(a,b)------>(-1,-7)let

now

m(x-a)=(y-b)

2(x+1)=(y+7)(where m=slope

2x+2=y+7

2x-y=7-2

2x-y=5 is a required equation.

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3 years ago

DURING A REGULAR HALF-HOUR TV SHOW THERE ARE 8 MINUTES OF COMMERCIALS. IF EACH COMMERCIAL IS 0.25 MINUTES LONG HOW MANY COMMERCI

kirza4 [7]

Ok so there are 8 min of commercials and if each commercial is .25 minutes. what I did was 8 × 60 to get how many seconds there were. which = 480 and then I did .25 min × 60 and got 15 so I subtracted 15 from 480 and got 7.75
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3 years ago

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Which is the simplified version of:

melisa1 [442]

Answer:

The answer is letter D

Step-by-step explanation:

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3 years ago

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Find the flux of F=(x^5+y^5+z^5-2x-3y-4z)i+sin(2y)j+4zsin^2(y)k across the surface of the tetrahedron bounded by the coordinate

Tju [1.3M]

Use the divergence theorem.

$\mathbf F(x,y,z)=(x^5+y^5+z^5-2x-3y-4z)\,\mathbf i+\sin2y\,\mathbf j+4z\sin^2y\,\mathbf k$
$\implies(\nabla\cdot\mathbf F)(x,y,z)=\dfrac{\partial(x^5+y^5+z^5-2x-3y-4z)}{\partial x}+\dfrac{\partial(\sin2y)}{\partial y}+\dfrac{\partial(4z\sin^2y)}{\partial z}=5x^4-2+2\cos2y+4\sin^2y$

The flux of $\mathbf F$ across the tetrahedron's surface $S$ is then given by the integral of $\nabla\cdot\mathbf F$ over the interior of the tetrahedron $\mathbf R$ .

$\displaystyle\iint_S\mathbf F\cdot\mathrm dS=\iiint_T\nabla\cdot\mathbf F\,\mathrm dV$
$=\displaystyle\int_{x=0}^{x=1}\int_{y=0}^{y=1-x}\int_{z=0}^{z=1-x-y}(5x^4-2+2\cos2y+4\sin^2y)\,\mathrm dz\,\mathrm dy\,\mathrm dx$
$=\dfrac1{42}$

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3 years ago

The ratio of boys and girls in Mrs specks s class is 2 of 3 There is 18 girls what is the total number of students in Mrs.specks

My name is Ann [436]

Answer: 30 students in total

Step-by-step explanation: 2x+ 3x is 5x right. The 18 girls are the 3x. That means the 6 people is 1x. If there are 5 x people in total that means that there are 30 students

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3 years ago