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serious [3.7K]
3 years ago
11

You can drive 450 on 18 gallons of gas how far can you travel on one gallon

Mathematics
2 answers:
crimeas [40]3 years ago
6 0

Answer:

25 miles

Step-by-step explanation:

valentina_108 [34]3 years ago
3 0

Step-by-step explanation:

I am going to guest 25 mins

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Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive
Ivan

Answer:

(a) The average cost function is \bar{C}(x)=95+\frac{230000}{x}

(b) The marginal average cost function is \bar{C}'(x)=-\frac{230000}{x^2}

(c) The average cost approaches to 95 if the production level is very high.

Step-by-step explanation:

(a) Suppose C(x) is a total cost function. Then the average cost function, denoted by \bar{C}(x), is

\frac{C(x)}{x}

We know that the total cost for making x units of their Senior Executive model is given by the function

C(x) = 95x + 230000

The average cost function is

\bar{C}(x)=\frac{C(x)}{x}=\frac{95x + 230000}{x} \\\bar{C}(x)=95+\frac{230000}{x}

(b) The derivative \bar{C}'(x) of the average cost function, called the marginal average cost function, measures the rate of change of the average cost function with respect to the number of units produced.

The marginal average cost function is

\bar{C}'(x)=\frac{d}{dx}\left(95+\frac{230000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g\\\\\frac{d}{dx}\left(95\right)+\frac{d}{dx}\left(\frac{230000}{x}\right)\\\\\bar{C}'(x)=-\frac{230000}{x^2}

(c) The average cost approaches to 95 if the production level is very high.

\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})\\\\\lim _{x\to a}\left[f\left(x\right)\pm g\left(x\right)\right]=\lim _{x\to a}f\left(x\right)\pm \lim _{x\to a}g\left(x\right)\\\\=\lim _{x\to \infty \:}\left(95\right)+\lim _{x\to \infty \:}\left(\frac{230000}{x}\right)\\\\\lim _{x\to a}c=c\\\lim _{x\to \infty \:}\left(95\right)=95\\\\\mathrm{Apply\:Infinity\:Property:}\:\lim _{x\to \infty }\left(\frac{c}{x^a}\right)=0\\\lim_{x \to \infty} (\frac{230000}{x} )=0

\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})= 95

6 0
3 years ago
Find the value of x.
Artemon [7]

{5}^{2}  +  {x}^{2}  =  {8}^{2}

25 +  {x}^{2}  = 64

Subtract both sides 25

25 - 25 +  {x}^{2}  = 64 - 25

{x}^{2}  = 39

Thus :

x =  \sqrt{39}

x = 6.245

6 0
2 years ago
A comet is cruising through the solar system at a speed of 50,000 kilometers per hour 4 hours time . What is the total distance
Gekata [30.6K]

The answer is 200,000. The reason why is because 50000*4=200,000

6 0
3 years ago
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What's the best definition of the word "ratio?"
ololo11 [35]

Answer:

Compare

Step-by-step explanation:

Or relation I believe so...

7 0
3 years ago
Could somebody help me im slow sorry
Mars2501 [29]

Answer:

I'd say multiply the numerators then the denominators and at the end simplify at least thats how I multiply fractions :)

8 0
3 years ago
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