All categories

3 years ago

Take Test w1: Whole N X

Mathematics

1 answer:

ser-zykov [4K]3 years ago

6 0

Answer:

330

Step-by-step explanation:

12.times 25 equals 300 plus 30 equals 330

You might be interested in

Use cylindrical coordinates. find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 =

sashaice [31]

Let $R$ be the solid. Then the volume is

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$

which follows from the facts that

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta$
(by computing the Jacobian)

and

$z=x^2+y^2=r^2\implies z+z^2=72\implies z=-9\text{ or }z=8$
(we take the positive solution, since it's clear that $R$ lies above the $x$ - $y$ plane)
$r^2+z^2=72\implies z=\pm\sqrt{72-r^2}$
(again, taking the positive root for the same reason)
$z=r^2\implies 8=r^2\implies r=\sqrt8$

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}r(\sqrt{72-r^2}-r^2)\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}(r\sqrt{72-r^2}-r^3)\,\mathrm dr$
$=\dfrac{32(27\sqrt2-35)\pi}3$

7 0

3 years ago

3 x + 2 y = − 6. help me find the y and the x x y -4 0 0 –3

Maru [420]

Answer:

x = 0 and y = -3

Step-by-step explanation:

3 (0) = 0

2 (-3) = -6

So the answer would be x = 0 and y = -3

5 0

3 years ago

445 rounded to the nearest 100 is

Vlad [161]

Its 400 ..... hope that helps :)

6 0

4 years ago

Read 2 more answers

PLEASE HELP! Thank you!!

Aliun [14]

1. x is less then or equal to -1 or x is greater then or equal to 5.

2. x is greater then -4 and x is less than or equal to -1

The reason it is equal to or not is because above the original number there is a dot. If it is not filled in, it is considered open. This would leave it as greater than or less than. If it were filled in, it would be considered closed. Leaving it as greater than or equal to or less than or equal to.

3 0

3 years ago

Find the equation of the line specified. The slope is -4, and it passes through ( 5, 8).

ollegr [7]

Answer:

B. y= -4x + 28

Step-by-step explanation:

To find the equation of this line first put it into slope-point form, $y-y_{1} =m(x-x_{1})$ where $y_{1}$ and $x_{1}$ are the y and x coordinates and m is the slope. So plug in the information to get the equation, y-8=-4(x-5). Then solve for y,

First, distribute the -4

y-8=-4x+20

Next, add 8 to both sides

y=-4x+28

4 0

3 years ago

Read 2 more answers