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Correct is;

A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.

(a) What is the meaning of the derivative f '(x)?

What are its units?

(b) In practical terms, what does it mean to say that f '(2000) = 10?

(c) Which do you think is greater,

f '(200) or f '(600)? What about f '(4000)?

Answer:

A) f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.

It's unit is $/yard

B) f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.

C) f' (200) > f'(600)

f'(4000) > f'(600)

Step-by-step explanation:

A) Since the cost of producing x yards of this fabric is C = f(x) dollars. f'(x) simply means the rate of change of C with respect to x.

In clearer terms, the derivative f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.

It's unit is $/yard

B) To say f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.

C) f '(200) is greater than f'(600) because the cost of making the 600th yard will be less than the cost of the 200th yard. Reason for this is due to economics of scale as the manufacturer will certainly make more efficient use of fixed costs of production.

As more units are produced, there may likely be more overtime costs and thus the rate of increase cost of production will likely increase faster.

Thus;

f'(4000) > f'(600)

Answer:

y=4x+3

y=-2x+3

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!

Answer :

13.25 x 64

=848

Answer:

453x  ^64 /4

​

Step-by-step explanation:

Answer:

The expected value of this policy to the insurance company is $206.97

Step-by-step explanation:

Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290

Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710

Expected Value E(X) = ∑xp(x)

E(X) = $290*(0.999563) + (-$189,710* 0.000437)

E(X) = $289.87327 - $82.90327

E(X) = $206.97

Thus, the expected value of this policy to the insurance company is $206.97

Answer:

b 15/4

Step-by-step explanation:

Answer: Less than 1

Step-by-step explanation: 4.23 x 10^-5 simply translated to 0.0000423

which is less than 1.

Answer:

less than 1

Step-by-step explanation:

4.23 * 10^5 is less than 1

Answer:

8<2x

Step-by-step explanation:

Answer:

8<2x

Step-by-step explanation:

I hope this helped! :D

Answer:

now using the formula (a-b) (a2+ab+b2)=a3-b3

=>x3-63

x3-216#answer

The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36). Then the correct option is B.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The cubic polynomial is given below.

⇒ x³ + 216

Then the cubic polynomial is written as,

⇒ x³ + 6 × 6 × 6

⇒ x³ + 6³

We know that the formula of a³ + b³ is given as,

a³ + b³ = (a + b)(a² – ab + b²)

Compare the expression, we have a = x and b = 6. Then the expression will be

x³ + 6³ = (x + 6)(x² – 6x + 6²)

x³ + 6³ = (x + 6)(x² – 6x + 36)

The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36).

Then the correct option is B.

More about the factorization link is given below.

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Answer:

( 5 , - 2 )

Step-by-step explanation:

( 10 × [tex]\frac{1}{2}[/tex] , - 4 × [tex]\frac{1}{2}[/tex] ) = (5, - 2)

Answer:

The minimum sample size required is 97.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this confidence interval is:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]\hat p=0.20\\MOE=0.08\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is, z = 1.96.

Compute the minimum sample size required as follows:

[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

[tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97[/tex]

Thus, the minimum sample size required is 97.

Answer:

I don't have algebra but I suggest looking it up and it might show you at the very top.

Step-by-step explanation:

Hope this helps you:)

Answer:

The other number is 5/9.

Step-by-step explanation:

16/3 = 48/5 * x

x = 5/9

Answer:

22≥4m-2=6

5-3m<-13=6

Step-by-step explanation:

The inequalities  22 ≥ 4m - 2 or 5 - 3m ≤ - 13 is m ≤ 6 or m ≥ 6.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

22 ≥ 4m - 2.

4m ≤ 22 + 2.

4m ≤ 24.

m ≤ 24/4.

m ≤ 6.

5 - 3m ≤ - 13.

- 3m ≤ - 13 - 5.

- 3m ≤ - 18.

3m ≥ 18.

m ≥ 18/3.

m ≥ 6.

So, m ≤ 6 or m ≥ 6.

learn more about inequalities here :

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Answer:

There are 48 cups in 3 gallons!

Hope this helped! :)

Answer:

y=4-4/9x x=9-9/4y

Step-by-step explanation:

jyEahahhhhh

The difference in y-values between the coordinates of two points on a line is called the Rise.

The difference in y-values between the coordinates of two points on a line is called the rise or vertical rise. Or The rise is the vertical distance between the two points, which is the difference between their y-coordinates.

The difference in the x-values of two points on a line is called the run.

Slope of line is given by,

[tex]m=\dfrac{rise}{run}[/tex]

Hence,The difference in y-values between the coordinates of two points on a line is called the Rise.

For more details follow the link:

https://brainly.com/question/3605446

Answer:

312500

Step-by-step explanation:

I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong

Answer:

Step-by-step explanation:

15.75 plus .05x = 16.53-.13x

.78=.18x

4.3 hours is your answer

Answer:

c

Step-by-step explanation:

edge2020

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given that;

4(x + 2)² = 36

4( x(x + 2) + 2(x+2) ) = 36

4( x² + 2x + 2x + 4 ) = 36

4( x² + 4x + 4 ) = 36

4x² + 16x + 16 = 36

4x² + 16x + 16 - 36 = 0

4x² + 16x - 20 = 0

We can further simply ( divide through by 4 )

x² + 4x - 5 = 0

Hence,

x = (-b±√(b² - 4ac)) / (2a)

x = (-4±√(4² - (4 × 1 × -5)) / (2×1)

x = (-4±√(16 - (-20)) / (2)

x = (-4±√(16 + 20)) / (2)

x = (-4±√(36)) / 2

x = (-4±6)) / 2

Hence

x = (-4-6)) / 2 and x = (-4+6)) / 2

x = -10/2 and x = 2/2

x = -5 and x = 1

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

Learn more about quadratic equations here: brainly.com/question/1863222

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Answer:

3.5 km

Step-by-step explanation:

its 10.5 divided by 3 to get this answer

plz give me brainliest i need it plz

Answer:

B

Step-by-step explanation:

Y=mx=b

m= slope

b= y- intercept

x&y are variables

Answer: 27.00

Step-by-step explanation:

$50 - $23 = $27

Answer:

$27.00

Step-by-step explanation:

"D"

Answer:

POG

Step-by-step explanation:

poggers + poggers = POGCHAMP

Answer:

only the green and pink line repent a proportional relationship

Answer:

2.21184 or 2.212

Step-by-step explanation:

step 1: 1 dollar and 60 cents (1.6) = 2 dollars and 56 cents is false

Answer:

Step 3

Step-by-step explanation:

I took a quiz and got it right

Answer:

−234.96

Step-by-step explanation:

Hope its the right answer that you're looking for :)

Given:

Mrs. Applegate owns  [tex]\dfrac{3}{19}[/tex] of the business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

To find:

The  fractional part of the business that Mrs. Brown owns.

Solution:

Let Mrs. Charles owns x part of business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

Mrs. Brown owns = 3x part of business.

Mrs. Applegate owns  [tex]=\dfrac{3}{19}[/tex] of the business.

[tex]x+3x+\dfrac{3}{19}=1[/tex]

[tex]4x=1-\dfrac{3}{19}[/tex]

[tex]4x=\dfrac{19-3}{19}[/tex]

[tex]4x=\dfrac{16}{19}[/tex]

Divide both sides by 4.

[tex]x=\dfrac{16}{4\times 19}[/tex]

[tex]x=\dfrac{4}{19}[/tex]

Now,

Mrs. Brown owns  [tex]=3\times x[/tex]

[tex]=3\times \dfrac{4}{19}[/tex]

[tex]=\dfrac{12}{19}[/tex]

Therefore, Mrs. Brown owns  [tex]\dfrac{12}{19}[/tex] of the business.