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3 years ago

No I need 54 inches of wood to build a picture frame. if the wood cost $2.50 a foot, how much will be pay?

Mathematics

1 answer:

tamaranim1 [39]3 years ago

7 0

Answer:

135

Step-by-step explanation:

2 x 54 = 108 and .50 x 54 = 27 so 108 + 27 = 135

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For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x y 32 24 16 8 8

densk [106]

Direct variation is modeled by an equation of y = kx.
If all the pairs of values in the table give us a constant proportion, then that's a direct variation.

As we can see, 8/32 = 1/4 ≠ 8/24 = 1/3. So that's not a direct variation.

The answer choice is D.

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3 years ago

15. Circle all of the expressions equivalent to 9x - y.

UNO [17]

Answer:

I believe a is One of them

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3 years ago

HELP!!! 10 POINTS OFFERED!!THIS IS MY LAST QUESTION!!

Sladkaya [172]

Answer:

A (-2,8) B (-1,5) C (-6,2)

A(-2,-7) B(-5,-8) C(-8,-3)

Step-by-step explanation:

x,y x,y x,y

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when rotation 270 degrees counterclockwise around the origin:

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C(3,-8) to (-8,-3)

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3 years ago

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

Daniela bought a square carpet for her dining room of an area of 9 ft squared. The space of of the dining room is approximately

Anna [14]

Answer:

yes there is because the carpet is 9ft squared but the dinning room floor area is 3.5*3.5= 12.25 so there is still space left even when carpet is put down.

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4 years ago