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stepladder [879]
3 years ago
15

A water pumps 40 gallons a minute. How long will it take to empty a 2,000 gallon tank?

Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:

50 minutes

Step-by-step explanation:

Water pumps 40 gallons per minute, therefore it would take 50 minutes to pump 2,000 gallons.

2000/40 = 50 minutes

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3 years ago
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Find the missing side. Round your answer to the nearest hundredth.<br> х<br> 28°<br> 42 in<br> in
sleet_krkn [62]

Answer:

The length of the missing side x = 47.57 in    

Step-by-step explanation:

Given

Ф = 28°

The length of the side adjacent to the angle Ф is = 42 in

To determine

The hypotenuse x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

substitute adjacent = 42 in, hypotenuse = x and Ф = 28°

cos 28° = 42 / x

x = 42 / cos 28°

x = 47.57 in      

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6 0
3 years ago
Suppose that surface σ is parameterized by r(u,v)=⟨ucos(3v),usin(3v),v⟩, 0≤u≤7 and 0≤v≤2π3 and f(x,y,z)=x2+y2+z2. Set up the sur
Bad White [126]

Looks like you have most of the details already, but you're missing one crucial piece.

\sigma is parameterized by

\vec r(u,v)=\langle u\cos3v,u\sin3v,v\rangle

for 0\le u\le7 and 0\le v\le\frac{2\pi}3, and a normal vector to this surface is

\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\left\langle\sin3v,-\cos3v,3u\right\rangle

with norm

\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|=\sqrt{\sin^23v+(-\cos3v)^2+(3u)^2}=\sqrt{9u^2+1}

So the integral of f(x,y,z)=x^2+y^2+z^2 is

\displaystyle\iint_\sigma f(x,y,z)\,\mathrm dA=\boxed{\int_0^{2\pi/3}\int_0^7(u^2+v^2)\sqrt{9u^2+1}\,\mathrm du\,\mathrm dv}

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3 years ago
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earnstyle [38]
So I'm guessing that the x2 is your way of saying 2 is the exponent right? In that case the equation would be 8x^2 + 12x
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8 0
4 years ago
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Anita collects shells and stones in a ratio of 1:2.
omeli [17]

Answer:

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Step-by-step explanation:

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