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1 year ago

A jug contained314 pints of milk at the start of a baking class. At the end of the class, only 3 fluid ounces were left.

Mathematics

1 answer:

I am Lyosha [343]1 year ago

3 0

Answer:

i dont now (:

Step-by-step explanation:

get smart

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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

dem82 [27]

Answer:

I = 91.125

Step-by-step explanation:

Given that:

$I = \int \int_E \int zdV$ 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 $y^2 + z^2 = 81$

∴ $z^2 = 81 - y^2$

$z = \sqrt{81 - y^2}$

Thus, z lies between 0 to $\sqrt{81 - y^2}$

GIven curve x = 0 and y = 9x

$x =\dfrac{y}{9}$

As such,x lies between 0 to $\dfrac{y}{9}$

Given curve x = 0 , $x =\dfrac{y}{9}$ and z = 0, $y^2 + z^2 = 81$

y = 0 and

$y^2 = 81 \\ \\ y = \sqrt{81} \\ \\ y = 9$

∴ y lies between 0 and 9

Then $I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \int^{\sqrt{81-y^2}}_{z=0} \ zdzdxdy$

$I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \begin {bmatrix} \dfrac{z^2}{2} \end {bmatrix} ^ {\sqrt {{81-y^2}}}_{0} \ dxdy$

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

$I = \int^9_{y=0} \int^{\dfrac{y}{9}}_{x=0} \begin {bmatrix} \dfrac{{81 -y^2} }{2} \end {bmatrix} \ dxdy$

$I = \int^9_{y=0} \begin {bmatrix} \dfrac{{81x -xy^2} }{2} \end {bmatrix} ^{\dfrac{y}{9}}_{0} \ dy$

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

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

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

$I = \dfrac{1}{18} \begin {bmatrix} {81 \ \dfrac{y^2}{2} - \dfrac{y^4}{4}} \end {bmatrix}^9_0$

$I = \dfrac{1}{18} \begin {bmatrix} {40.5 \ (9^2) - \dfrac{9^4}{4}} \end {bmatrix}$

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

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

I = 91.125

4 0

3 years ago

What decimal number is about equal to 1/6?

baherus [9]

Answer:

Step-by-step explanation: 0.16

6 0

1 year ago

Read 2 more answers

A publisher requires 2∕3 of a page of advertisements for every 5 pages in a magazine. If a magazine has 98 pages, to the nearest

Eddi Din [679]

Answer:

$\boxed{13}$ pages

Step-by-step explanation:

Divide the total number of pages by 5 to get how many sets of every 5 pages will contain 2/3 of a page of advertisements.

$\frac{98}{5} = 19.6$

Multiply this value by $\frac{2}{3}$ to get the total number of pages.

$19.6 * \frac{2}{3} \approxeq 13$ pages

4 0

2 years ago

Find the location of the x-intercept, the location of the y-intercept, and the slope for the line

I am Lyosha [343]

Answer:

x intercept (15/4,0)

y intercept (0,2)

slope 8/15

Step-by-step explanation:

15y − 8x = 30.

To find the x intercept, set y =0

15(0) -8x = 30

8x = 30

Divide each side by 8 to solve for x

8x/8 = 30/8

x = 15/4

To find the y intercept, set x =0

15y -8(0) = 30

15y = 30

Divide each side by 15

15y/15 = 30/15

y =2

To find the slope we solve the equation for y

15y − 8x = 30.

Add 8x to each side

15y − 8x+8x =8x +30.

15y = 8x +30

Divide each side by 15

15y/15 = 8x/15 +30/15

y = 8/15x +2

The slope is 8/15

4 0

2 years ago

A job candidate at a large job fair can be classified as unacceptable, provisional, or acceptable. Based on past experience, a h

svp [43]

Answer:

chisquare = 31.667

degree of freedom = 2

Step-by-step explanation:

Formula for chisquare test = (O-E)²/E

total number observations= 60 + 25 + 15 = 100

Estimated E,

80% x 100 = 80

15%x100 = 15

5% x 100 = 5

chisquare =

$\frac{(60-80)^{2} }{80} +\frac{(25-15)^{2} }{15}+\frac{(15-5)^{2} }{5}\\$

= 5 + 6.67 + 20

= 31.667

from the calculation above the value of the chisquare statistic = 31.67

the degree of freedom is the number of samples in the test n - 1

= 3-1

= 2

I have solve this question also in a tabular form to aid understanding in the file i uploaded.

thank you and good luck!

4 0

2 years ago