what is The slope of The line

Step-by-step explanation:

true

hope it helps!

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Answer:

150

Step-by-step explanation:

I hope I'm right

Answer:

8 months for cost to be same, cost will be $408

Step-by-step explanation:

x = months

176 + 29x = 0 + 51x

176 = 22x

8 = x

176 + (29*8) = 408

0 + (51*8) = 408

Answer:

a. The number of units which will minimize average cost is approximately 5,130 units.

b. The firm should produce 12,500 items, x, for maximum profit.

c. The number of items, x, that will produce a maximum profit is 60 items.

Step-by-step explanation:

Note: This question is not complete as there are some signs are omitted there. The complete question is therefore provided before answering the question as follows:

1. If the total cost function for a product is C(x) = 200(0.02x + 6)^3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?

2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?

3. If the profit function for a product is P(x) = 3600x + 60x2 - x3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?

The explanation to the answer is now given as follows:

1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?

Given;

C(x) = 200(0.02x + 6)^3 ……………………………………….. (1)

We first simplify (0.02x + 6)^3 as follows:

(0.02x + 6)^3 = (0.02x + 6)(0.02x + 6)(0.02x + 6)

First, we have:

(0.02x + 6)(0.02x + 6) = 0.004x^2 + 0.12x + 0.12x + 36 = 0.004x^2 + 0.24x + 36

Second, we have:

(0.02x + 6)^3 = 0.004x^2 + 0.24x + 36(0.02x + 6)

(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 7.20x + 0.0024x^2 + 1.44x + 216

(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 0.0024x^2 + 7.20x + 1.44x + 216

(0.02x + 6)^3 = 0.00008x^3 + 0.0504x^2 + 8.64x + 216

Therefore, we have:

C(x) = 200(0.02x + 6)^3 = 200(0.00008x^3 + 0.0504x^2 + 8.64x + 216)

C(x) = 0.016x^3 + 10.08x^2 + 1,728x + 43,200

Therefore, the average cost (AC) can be calculated as follows:

AC(x) = C(x) / x = (0.016x^3 + 10.08x^2 + 1,728x + 43,200) / x

AC(x) = (0.016x^3 + 10.08x^2 + 1,728x + 43,200)x^(-1)

AC(x) = 0.016x^2 + 10.08x + 1,728 + 43,200x^(-1) …………………………. (2)

Taking the derivative of equation (2) with respect to x, equating to 0 and solve for x, we have:

0.032x + 10.08 - (43,300 / x^2) = 0

0.032x + 10.08 = 43,300 / x^2

X^2 * 0.32x = 43,300 – 10.08

0.32x^3 = 43,189.92

x^3 = 43,189.92 / 0.32

x^3 = 134,968.50

x = 134,968.50^(1/3)

x = 51.30

Since it is stated in the question that x represents the number of hundreds of units produced, we simply multiply by 100 as follows:

x = 51.30 * 100 = 5,130

Therefore, the number of units which will minimize average cost is approximately 5,130 units.

2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?

P(x) = R(x) - C(x) ……………. (3)

Where;

P(x) = Profit = ?

R(x) = 450x-1/100x^2

C(x) = 500 + 200x

Substituting the equations into equation (3), we have:

P(x) = 450x - 1/100x^2 - (500 + 200x)

P(x) = 450x - 0.01x^2 - 500 - 200x

P(x) = 450x - 200x - 0.01x^2 - 500

P(x) = 250x - 0.01x^2 – 500 …………………………………. (4)

Taking the derivative of equation (4) with respect to x, equating to 0 and solve for x, we have:

250 - 0.02x = 0

250 = 0.02x

x = 250 / 0.02

x = 12,500 items

Therefore, the firm should produce 12,500 items, x, for maximum profit.

3. If the profit function for a product is P(x) = 3600x + 60x2 – x^3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?

Given;

P(x) = 3600x + 60x2 – x^3 - 72,000 …………………………. (5)

Taking the derivative of equation (5) with respect to x, equating to 0 and solve for x, we have:

3600 + 120x - 3x^2 = 0

Divide through by 3, we have:

1200 + 40x – x^2 = 0

1200 + 60x – 20x – x^2 = 0

60(20 + x) – x(20 + x) = 0

(60 – x)(20 + x) = 0

Therefore,

x = 60, or x = - 20

The negative value of x (i.e. x = - 20) will be will be ignored because it has no economic significance. Therefore, the number of items, x, that will produce a maximum profit is 60 items.

Answer:

(a). [tex]\frac{3}{7}[/tex]

(b). [tex]\frac{4}{13}[/tex]

Step-by-step explanation:

(a). Odds in favor of winning a new T.V. = [tex]\frac{4}{7}[/tex]

    Or probability of not winning a new T.V. = [tex]\frac{4}{7}[/tex]

    Since, Probability to win a T.V. + Probability of not winning the new T.V. = 1

    Probability of winning a new T.V. = 1 - Probability of not winning a new T.V.

                                                            = 1 - [tex]\frac{4}{7}[/tex]

                                                            = [tex]\frac{7-4}{7}[/tex]

                                                            = [tex]\frac{3}{7}[/tex]

(b). Probability of winning the match + probability of not winning the match = 1

     [tex]\frac{9}{13}[/tex] + Probability of not winning the match = 1

     Probability of not winning the match = 1 - [tex]\frac{9}{13}[/tex]

                                                                   = [tex]\frac{13-9}{13}[/tex]      

                                                                   = [tex]\frac{4}{13}[/tex]

Answer:

The last one

Step-by-step explanation:

Answer:

D, Divide both sides by -4.6

Step-by-step explanation:

You want to get the x and the regular integers on separate sides of the equals sign, so you divide the -4.6 to get the x on its own side of the equals sign. That's the first step to solving the equation.

Answer:

112

Step-by-step explanation:

16 ounce multiply that by 7. 112. This correct i googed it

Answer:

D

Step-by-step explanation:

We know that MRT = 133 which means that is the total. Angle MRN and NRT are what makes the total angle which is 133. To find what each angle is individually, we can add them both together.

(2g - 2) + (4q - 9) = 133

6q - 11 = 133

6q = 144

q = 24

Best of Luck!

D. (2g - 2)+(4g -9) = 133

Because,

Given, angle MRT = 133°

and MRN = 2g - 2 °

and NRT = 4g - 9°

and MRT = MRN + NRT .........(equation (i))

Placing values in equation (i) we get,

133° = (2g - 2)° + (4g - 9)°

=> 133 = (2g - 2) + (4g - 9)

=> (2g - 2) + (4g - 9) = 133

Answer: 4

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

the rest of the numbers are closer to each other but if you plot these you see that 29 doesnt belong

Answer: -18

Step-by-step explanation:

We want the maximun or minimum of [tex]g(x)=-4x^2+4x-2[/tex]

Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.

To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:

[tex]g'(x)=-8x+4[/tex]

To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have

[tex]0 = -8x+4\\8x=4\\x=\frac{1}{2}[/tex]

So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.

[tex]g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1[/tex]

Therefore, the maximum point [tex]M[/tex] of the function is

[tex]\boxed{M=(0.5,-1)}[/tex]

 Glad to help! Wish you great studies.

If you found this helpful consider giving this answer brainliest ;)

Answer:

9/3 is greater

Step-by-step explanation:

Convert it to decimals.

9/3=3

2 and 3/4= 2.75

Answer:

b

Step-by-step explanation:

because it passes the vertical line test and A does not if you look at x = 1 there are 2 points along that point (1,3) (1,-1)

Answer:

1 1/8  2 1/4 - 1 1/8= 1 1/8

Step-by-step explanation:

Hoped I helped Im Eve btw. Have an amazing day and consider marking this as brainliest if you do thank you in advanced! :3

Answer:

x = 6

y = 9

This is the correct answer. Not satisfied? Check out this answer expert verified answer of the same question but with a step-by-step explanation. This answer is just a simple version of rocioo's correct answer.

Expert Verified Answer (of this same question but with a step-by-step explanation):

This is the link to rocioo's answer. https://brainly.com/question/13675950

Answer:

44.08 or 44.1

Step-by-step explanation:

OK so the basics of this question is that for every 45 feet of the actual skyscraper we have 2 inches in the model. The first thing we do is divide 992/45 which equals 22.04. Know if this was 1 inch for every 45 feet we would be done however we need to multiply this number by 2 to get our answer so 22.04*2 =44.08

Answer:

27*1000=27000ml

600ml

Now, 27000ml+600ml=27600ml

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:

Slopes of the line

(-2,-2) is the answer .............

Answer:

In statistics, scientists or researchers gather data to represent the existing number of population audience that they should target. Statisticians usually lump these data and present them in terms of mean, median or mode. To be more accurate, percentage could also be used. Percentage is generally defined as the number of a specific parameter per 100 units of the whole. In this case, the percentage is defined as the number of students per 100 people of the whole population. The working equation to be used is:

Percentage = Number of Students/Number of Population * 100%

Percentage = 9,860/62,400 * 100

Percentage = 15.8%

Hence, out of the total population, 15.8% are students.

or

Number of students = 9860

Total Population = 62,400

Percentage of students in the population can be calculated by:

(Number of students/Total population) x 100%

Using the values, we get:

Percentage of students = (9860/62400) x 100% = 15.80%

Thus, students constitute 15.80% of the entire population

Answer:

60ft

Step-by-step explanation:

        multiple the length by 2

15 times two equals 30

       multiple the width by two

15 times two equals 30

       add the total lengths and widths

30 plus 30 equals 60

ans=60

Answer:

x should be 101

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Multiply the 2 denominators which gives you 6. P.S make sure to do cross multiplication for the numerator cause if the rest of the question asks for the full answer then you would get it wrong if you don't.

Answer:

x int= -4 y int= 1

Step-by-step explanation:

intercepts refer to the place on the each axis where the line passes through

Answer:

56p + 48q + 88

Step-by-step explanation:

When you see parentheses in math, it usually means that you are distributing (multiplying).

So here you would multiply everything inside the parentheses by 8.

7q x 8 = 56q

6p x 8 = 48p

8 x 11 = 88

56q + 48p + 88

There are no like terms here so the answer cannot be simplified any further.

Answer:

5 + 3 = 8

10 + 6 = 16

15 + 9 = 24

No she will need a total of 48

Step-by-step explanation:

24 + 16 + 8 = 48

Answer:

25 liters blue for a total of 40.

The rest of the table is:

Blue:       White:      Total:

15            9               24

20           12             32

25           15            40

Step-by-step explanation:

I multiplied 8 times 5 to get 40 (the total amount of liters)

Then I also had to multiply 5 by 5 to balance out the equation, and got 25.