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3 years ago

Use the equation

Mathematics

2 answers:

Cerrena [4.2K]3 years ago

7 0

Answer:- The pressure 'p' will be infinity at volume 'V'=0.

Explanation:-

The given equation :- $p=\frac{8.31}{V}$ where p is a rational function dependent on V.

A rational function is undefined for denominator = 0.

In the given function V is the denominator , if V=0 then the function will be undefined.

⇒ p will approach to zero at V=0.

For assistance see the attachment , the graph of the given function represented by vertical assymptote which approaches to 0 but never touches it..

Andreyy893 years ago

4 0

Hello,
The function is undefined for V=0 as well as there being an asymptote at V=0 meaning the pressure approaches infinity

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A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma

Gnoma [55]

Answer:

The value is $C \approx \$76$

Step-by-step explanation:

From the question we are told that

The area of the rectangular pen is $A = 24 \ yard^2$

The cost of material used to make one side is $z = \$ 6$

The cost of material used to make the other sides is $r = \$ 3$

Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

$C = zx + r (x + 2y )$

=> $C = 6x + 3(x + 2y)$

=> $C = 9x + 6y$

Now the area of the fence is mathematically represented as

$A = x* y = 24$

=> $y = \frac{24}{x}$

=> $C = 9x + 6[\frac{24}{x} ]$

=> $C = 9x + [\frac{144}{x} ]$

Now differentiating

$C' = 9 + 144* (-2) x^{-2}$

$C' = 9 - 288x^{-2}$

At minimum $C' = 0$

$9 - 288x^{-2} = 0$

$x^{-2} = 0.03125$

$x = \sqrt{\frac{1}{0.03125} }$

$x = 5.66$

Now substituting for x in the equation above to obtain minimum cost

$C = 9(5.66) + [\frac{144}{5.66} ]$

$C \approx \$76$

8 0

3 years ago

Solve the equation 6x +2y = 10 for y in terms of x gives what function?

Nimfa-mama [501]

Answer:

y = - 3x + 5

Step-by-step explanation:

Given

6x + 2y = 10 ( subtract 6x from both sides )

2y = - 6x + 10 ( divide all terms by 2 )

y = - 3x + 5

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3 years ago

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sveticcg [70]

There are 6 numbers on each die.

The total number of out comes is 6 x 6 = 36.

To get a sum of 4, the combinations are: 1 & 3, 2 & 2 or 3 & 1.

To get a sum of 8, the combinations are: 1 & 7, 2 & 6, 3 & 5, 4 & 4, 7 & 1, 6 & 2, 5 & 3

The total of those combinations are: 3 + 7 = 10 total combinations of a sum of either 4 or 8.

The probability of either is 10/36, which can be reduced to 5/18.

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3 years ago

Which expression is equivalent to 8(u + 3)?

Korolek [52]

Answer:

Step-by-step explanation:

$8(u+3)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(8)(u)+(8)(3)=8u+24$

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3 years ago

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Ipatiy [6.2K]

Answer:

Step-by-step explanation:

To solve this problem we have to find the largest possible greatest common factor, which is 48.

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48/48 = 1

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3 years ago