Can anyone identify the center & radius of these

Help plz!!!!!!!!! *tysm*

Dennis_Churaev [7]

-7.5x = -5.61 - 0.39

x = -6 /-7.5

x = 0.8

5 0

2 years ago

Use spherical coordinates. evaluate (9 − x2 − y2) dv, where h is the solid hemisphere x2 + y2 + z2 ≤ 4, z ≥ 0.

avanturin [10]

In spherical coordinates, we have

$\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\varphi\end{cases}$

which gives volume element

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$

and so the triple integral is given by

$\displaystyle\iiint_H(9-x^2-y^2)\,\mathrm dV$
$=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9-\rho^2\sin^2\varphi)\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$
$=\displaystyle2\pi\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9\rho^2\sin\varphi-\rho^4\sin^3\varphi)\,\mathrm d\rho\,\mathrm d\varphi$
$=\dfrac{592\pi}{15}$

4 0

3 years ago

E

laiz [17]

Answer:

44x +56y = 95

Step-by-step explanation:

To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.

The midpoint is the average of the coordinate values:

((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)

The differences of the coordinates are ...

(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)

Then the perpendicular bisector equation can be written ...

Δx(x -h) +Δy(y -k) = 0

5.5(x -0.25) +7(y -1.5) = 0

5.5x -1.375 +7y -10.5 = 0

Multiplying by 8 and subtracting the constant, we get ...

44x +56y = 95 . . . . equation of the perpendicular bisector

8 0

3 years ago

She runs for 6.4 miles at a speed of 4 miles per hour. For how many hours does she run?

Alexxandr [17]

4 miles per hour
6.4 miles ...? hours

6.4 / 4 = 1.6 hours

answer
she runs 1.6 hours for 6.4 miles

6 0

2 years ago

Read 2 more answers

An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $13

krek1111 [17]

Answer:

The number of half-page advertisements is 4.

The number of Full-page advertisements is 11.

Step-by-step explanation:

According to the Question,

Given, An advertising company charges $60 per half-page advertisement and $100 per full-page advertisement. Michael has a budget of $1340 to purchase 15 advertisements.

Let, 'x' be the number of half-page advertisements and 'y' be the number of full-page advertisements.

Thus, 60x + 100y is the money charged, and given that he has a budget of $ 1340.

60x + 100y = 1340

And, the number of advertisements is 15. So, the other equation is

x + y = 15

Now, We have Two Equations,

60x + 100y = 1340 and x + y = 15

the solution of the system is Put x=(15-y) in Equation 60x + 100y = 1340

60 (15-y) + 100y = 1340

900 - 60y + 100y = 1340

40y = 1340 - 900

40y = 440

y = 440/40

y = 11 So, For x = 15 - y ⇒ 15-11 ⇒ x=4 .

Thus, the number of half-page advertisements is 4 and The number of Full-page advertisements is 11 .

6 0

2 years ago