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BARSIC [14]
2 years ago
5

Complete the solution of the equation Find the value of y when x equals 11. 7x-9y=23

Mathematics
1 answer:
Setler79 [48]2 years ago
8 0
Replace the variable x with it's value in the equation and solve for y.

7(11) - 9y = 23

77 - 9y = 23

Subtract both sides by 77.

77 - 9y - 77 = 23 - 77

-9y = -54

Divide both sides by -9.

-9y / -9 = -54 / -9

y = 6

So, 6 is the answer.
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Find the volume of the solid that lies inside both the cylinder x 2 y 2 = 1 and the sphere x 2 y 2 z 2 = 16
IrinaVladis [17]

The volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16 is 24.74 cubic units.

<h3>What is the volume of the solid?</h3>

Find the volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 16

From the sphere and cylinder, the cylindrical coordinate will be

z = \pm \sqrt{16 - r^2}

And the radius of the cylinder is |r| < 1 and the 0 ≤ θ ≤ 2π.

Then the volume will be given as

\rm V = \int _0^{2\pi} \int _0^1 \int _{- \sqrt{16 - r^2}}^{\sqrt{16-r^2}} \left ( r \ dz \ dr \ d\theta  \right ) \\\\\\V = 2\pi \int_0^1 \left ( 2r\sqrt{16-r^2} \right ) \ dr\\\\\\V = 4\pi \left [ -\dfrac{1}{3} (16 - r^2)^{3/2} \right ]\\\\\\V = \dfrac{4\pi}{3} \left ( 16^{3/2} - 15^{3/2} \right )\\\\\\V = 24.74

More about the volume of the solid link is given below.

brainly.com/question/23705404

#SPJ4

7 0
2 years ago
If a football team has a 90% chance of making a field goal for 3 points and a 35% chance of making a touchdown for 7 points, fin
sertanlavr [38]

Answer:

(35/100)×7

24.5

>

*****25.*****

5 0
3 years ago
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