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diamong [38]
3 years ago
9

The volume of a cube is given by V = x3, where x is the length of an edge of the cube. The area of a square is given by A = x2,

where x is the length of a side of the square. A given cube has a volume of 1,728 cubic inches.
Mathematics
1 answer:
ki77a [65]3 years ago
8 0
X = 12 and A = 144 (If V = 1,728)
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Elena-2011 [213]

Answer:

They correspond. a/b=f/e

Step-by-step explanation:

7 0
3 years ago
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5.40 is 9% of what price? Please show step by step
Rama09 [41]
p\%=\dfrac{p}{100}\\\\9\%=\dfrac{9}{100}=0.09\\\\9\%\ of\ x\ is\ 5.4\to0.09x=5.4\ \ \ \ |divide\ both\ sides\ by\ 0.09\\\\\boxed{x=60}
3 0
3 years ago
The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac
olya-2409 [2.1K]

Answer:

a) \frac{74}{10025}

b) \frac{3x-2}{x(8x+1)}

c) \frac{-24x^2+32x-2}{(8x^2+x)^2}

Step-by-step explanation:

For total cost function c(x), average cost is given by \frac{c(x)}{x} i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., \left ( \frac{c(x)}{x} \right )'

Given:c(x)=\frac{3x-2}{8x+1}

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

a)

At x = 50 units,

\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}

b)

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

c)

Marginal average cost:

Differentiate average cost with respect to x

Take f=3x-2\,,\,g=8x^2+x

using quotient rule, \left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}

Therefore,

\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}

3 0
3 years ago
MATH HELP!!!!!<br><br> If y = 15 when x = 2, what is the value of x when y = 7?
Ede4ka [16]

<u>Direct Variation:</u>  \frac{y}{x} = k

\frac{15}{2} = k

when y = 7:      \frac{7}{x} = \frac{15}{2}

14 = 15x

\frac{14}{15} = x

<u>Inverse variation:</u>   y*x = k

15 * 2 = k

30 = k

when y = 7:      7 * x = 30

x = \frac{30}{7}


3 0
3 years ago
Find the value of x in the picture
Hunter-Best [27]

Answer: x=128\°

Step-by-step explanation:

It is important to remember the following:

Angle\ formed\ by\ two\ chords=\frac{1}{2}(Sum\ of\ intercepted\ arcs)

In this case you can observe in the figure that "x" is an Angle formed by two chords, therefore, you can find its value applying the formula.

Therefore, the value of "x" is this:

x=\frac{1}{2}(202\°+54\°)\\\\x=\frac{1}{2}(256\°)\\\\x=128\°

6 0
3 years ago
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