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vodka [1.7K]
3 years ago
13

Twice a number is decreased by 9, and this sum is multiplied by 4. The result is 8 less than 10 times the number. What is the nu

mber?
Mathematics
1 answer:
Sati [7]3 years ago
7 0

4(2n - 9) = 10n - 8

8n - 36 = 10n - 8

8n - 8n - 36 = 10n - 8n - 8

-36 = 2n - 8

-36 + 8 = 2n - 8 + 8

-28 = 2n

-28/2 = 2n/2

-14 = n

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Evaluate the triple integral ∭EzdV where E is the solid bounded by the cylinder y2+z2=81 and the planes x=0,y=9x and z=0 in the
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Answer:

I = 91.125

Step-by-step explanation:

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I = \int \int_E \int zdV where E is bounded by the cylinder y^2 + z^2 = 81 and the planes x = 0 , y = 9x and z = 0 in the first octant.

The initial activity to carry out is to determine the limits of the region

since curve z = 0 and y^2 + z^2 = 81

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I = \int^9_{y=0}  \begin {bmatrix}  \dfrac{{81(\dfrac{y}{9}) -(\dfrac{y}{9})y^2} }{2}-0 \end {bmatrix}     \ dy

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I = \dfrac{1}{18} \int^9_{y=0}  \begin {bmatrix}  {81 \  y -y^3}  \end {bmatrix}     \ dy

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I = \dfrac{1}{18}  \begin {bmatrix}  3280.5 - 1640.25  \end {bmatrix}

I = \dfrac{1}{18}  \begin {bmatrix}  1640.25  \end {bmatrix}

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