Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 7x; R(x) = 9x − 0.001x2

Answer:

1- 96 cm (squared)

2- 44 ft (squared)

Step-by-step explanation:

Because solving these two solids as wholes would be too dificult, break them into pieces

1: (7*2*3) and (6*3*3)

7*2*3=42

6*3*3=54

Then add: 54+42= 96

*Repeat on other question*

Hope this helps! :)

Answer:

70.4 meters

Step-by-step explanation:

A to B: 40²+10²=c² = 1600+100=c² = 1700=c² = c=√1700 = 41.23

B to C: 25²+15²=c² = 625+225=c² = 850=c² = c=√850 = 29.15

41.23+29.15=70.38

Cash paid to the suppliers is 35,56,530$

Given here, The Amount of raw material purchased by company is 35,71,723$.

Firstly, we calculate decrease in Accounts payable = 115492$ - 110685$

= 4807$.

Now, cash paid to the suppliers is calculated by,

Cash paid to the suppliers= Purchases of raw material + Decrease in Account payable.

= 35,71,723$ + 4807$

= 35,56,530$

Thus, the cash paid to the suppliers is 35,56,530$.

The amount of Accounts Payable on a company's balance sheet is significant. If AP rises over the previous period, it indicates that the business is using credit rather than cash to purchase more goods and services. A company's accounts payable (AP) will decline if it is paying its commitments from the prior period more quickly than it is acquiring new things on credit.

Management of accounts payable is essential for controlling a company's cash flow. The top component of the cash flow statement, the cash flow from operational activities, shows the net change in AP from the prior period when the indirect method is used to create the cash flow statement.

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Answer:

i am pretty sure its 11

Step-by-step explanation:

bc if you look at the nymber next to 0 its .6 and they say 5 and up round UP!!

Answer:

11

Step-by-step explanation:

Rounded to Nearest Whole Number =  

11

Rounded to Nearest Tenth =  

10

Rounded to Nearest Hundredth =  

0

Rounded to Nearest Thousandth =

0

A. Mix C, with 4 cups of concentrate and 8 cups of cold water, will make the most "lemony" juice. This is because it has the highest ratio of concentrate to water among the given recipes.

B. Mix B, with 1 cup of concentrate and 4 cups of cold water, will make the least "lemony" juice. This is because it has the lowest ratio of concentrate to water among the given recipes. With less concentrate, the flavor of the juice will be milder and less pronounced.

C. To make juice for 240 campers, each camper receiving ½ a cup of juice, we can calculate the total amount of juice needed. Since there are 240 campers and each camper gets ½ a cup, the total amount of juice required is 240 * 0.5 = 120 cups.

For Mix A, the ratio of concentrate to water is 2:3. To find the amount of concentrate needed, we can set up the equation 2x + 3x = 120, where x represents the number of cups of concentrate needed. Solving the equation, we get 5x = 120, which gives x = 24. Therefore, we need 24 cups of concentrate and 36 cups of water for Mix A. Similarly, for Mix B, the ratio of concentrate to water is 1:4. Setting up the equation x + 4x = 120, we find that x = 20. Hence, we need 20 cups of concentrate and 80 cups of water for Mix B. For Mix C, the ratio of concentrate to water is 4:8, which simplifies to 1:2. Therefore, we need 120 cups of concentrate and 240 cups of water for Mix C. For Mix D, the ratio of concentrate to water is 3:5. Setting up the equation 3x + 5x = 120, we find that x = 12. Thus, we need 36 cups of concentrate and 60 cups of water for Mix D. Lastly, for Mix E, the ratio of concentrate to water is 3:4. Setting up the equation 3x + 4x = 120, we find that x = 15. Hence, we need 45 cups of concentrate and 60 cups of water for Mix E.

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Answer:

1/2 x 1/8 = 1/16 in fraction form.

Answer:

This needs more information. The only thing I can think is x^2 + 51^2 = 168^2 which would be 26623

Step-by-step explanation:

This needs more information.

The overlap degree is high.

Team 1 data:

73, 74, 75, 75, 75, 76, 76, 76, 77, 77, 78, 80

So, Median = n/2 + 1 = 12/2 + 1= 6+  7 th term

= 76

Now, Range = 80 - 73 = 7

Mean of data = 912 /12 = 76

Team 2 data:

74, 75, 76, 76, 77, 77, 77, 77, 78, 78, 79, 80

So, Median = n/2 + 1 = 12/2 + 1= 6+  7 th term

= 77

Now, Range = 80 - 74 = 6

Mean of data = 924/12 = 77

So, the degree of overlap = 77 - 76 = 1 and the overlap degree is high.

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we need 27 ounces of the 11% alcohol solution and 9 ounces of the 23% alcohol solution to obtain 36 ounces of a 14% solution.

Let x be the number of ounces of the 11% alcohol solution, and y be the number of ounces of the 23% alcohol solution. Then we have:

x + y = 36 (total amount of solution)

0.11x + 0.23y = 0.14(36) (total amount of alcohol)

Simplifying the second equation, we get:

0.11x + 0.23y = 5.04

Multiplying the first equation by 0.11 and subtracting from the second equation, we get:

0.12y = 1.08

y = 9

Substituting y = 9 into the first equation, we get:

x + 9 = 36

x = 27

what is numbers?

In mathematics, numbers are abstract concepts used for counting, measuring, and comparing quantities. There are several types of numbers, including natural numbers, integers, rational numbers, irrational numbers, and real numbers. Numbers are used in various mathematical operations, such as addition, subtraction, multiplication, and division, and are a fundamental concept in mathematics.

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Answer:

Alot of banannas

Step-by-step explanation:

put them in ur butthole

:D

Answer:

Exactly 9.5 bananas.

The exact x-coordinate of the point  is frac{1163}{291}6

The curve is given by {x = t² + 1, y = t² - t}.

Let's find dy/dx in terms of t as follows:

frac{dy}{dx} = frac{dy/dt}{dx/dt} = frac{(2t - 1)}{(2t)} = 1 - frac{1}{2t}

Therefore, when dy/dx = 27, we have:

1 - frac{1}{2t} = 27

Rightarrow 2t - 1 = frac{2}{27}

Rightarrow t = frac{29}{54}

The x-coordinate is given by x = t² + 1, therefore, we have:

x = left(frac{29}{54}right)^2 + 1

= frac{1163}{2916}

Hence, the exact x-coordinate of the point on the curve where the tangent line has slope 27 is frac{1163}{291}6

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The probability that a given voicemail is between 20 and 50 seconds is 0.8185, or 81.85%.

To find the probability that a voicemail is between 20 and 50 seconds, we need to standardize the values and use a standard normal distribution table.

First, we find the z-scores for 20 seconds and 50 seconds:

z1 = (20 - 40) / 10 = -2

z2 = (50 - 40) / 10 = 1

Using a standard normal distribution table, we can find the area to the left of each z-score:

Area to the left of z1 = 0.0228

Area to the left of z2 = 0.8413

To find the probability between 20 and 50 seconds, we subtract the area to the left of z1 from the area to the left of z2:

P(20 < x < 50) = P(-2 < z < 1)

= 0.8413 - 0.0228

= 0.8185

Therefore, the probability that a given voicemail is between 20 and 50 seconds is 0.8185, or 81.85%.

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Answer:

Grade 7

Step-by-step explanation:

The value of |EE| at P(/ 6 , 0.1, 2) is  |20^(-0.5)(cos(5/6) ax + cos(5/6)ay)|.

To find the magnitude |EE| at point P, we substitute the coordinates of P (x, y, z) into the expression for EE and calculate the magnitude using the Pythagorean theorem.

Given EE = 20^(-5y)(cos(5x) ax + cos(5x)ay), we evaluate it at P(/6, 0.1, 2):

|EE| = |20^(-5y)(cos(5x) ax + cos(5x)ay)|

Substituting the coordinates of P, we have:

|EE| = |20^(-5(0.1))(cos(5(/6)) ax + cos(5(/6))ay)|

Simplifying further:

|EE| = |20^(-0.5)(cos(5/6) ax + cos(5/6)ay)|

To find a unit vector in the direction of E at point P, we divide the vector EE by its magnitude |EE|.

Unit vector in the direction of E at P = EE / |EE|

Substituting the values, we have:

Unit vector in the direction of E at P = (20^(-5y)(cos(5x) ax + cos(5x)ay)) / |EE|

Finally, to find the equation of the direction line passing through point P, we use the parametric form of the line equation, which is:

(x - x₀) / a = (y - y₀) / b = (z - z₀) / c

where (x₀, y₀, z₀) is the given point on the line and (a, b, c) is the direction vector. In this case, the direction vector is the unit vector in the direction of E at point P. Substitute the values of P and the direction vector into the equation, and simplify if necessary to obtain the equation of the line passing through P.

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The value of |EE| at P(/ 6 , 0.1, 2) is  |20^(-0.5)(cos(5/6) ax + cos(5/6)ay)|.

To find the magnitude |EE| at point P, we substitute the coordinates of P (x, y, z) into the expression for EE and calculate the magnitude using the Pythagorean theorem.

Given EE = 20^(-5y)(cos(5x) ax + cos(5x)ay), we evaluate it at P(/6, 0.1, 2):

|EE| = |20^(-5y)(cos(5x) ax + cos(5x)ay)|

Substituting the coordinates of P, we have:

|EE| = |20^(-5(0.1))(cos(5(/6)) ax + cos(5(/6))ay)|

Simplifying further:

|EE| = |20^(-0.5)(cos(5/6) ax + cos(5/6)ay)|

To find a unit vector in the direction of E at point P, we divide the vector EE by its magnitude |EE|.

Unit vector in the direction of E at P = EE / |EE|

Substituting the values, we have:

Unit vector in the direction of E at P = (20^(-5y)(cos(5x) ax + cos(5x)ay)) / |EE|

Finally, to find the equation of the direction line passing through point P, we use the parametric form of the line equation, which is:

(x - x₀) / a = (y - y₀) / b = (z - z₀) / c

where (x₀, y₀, z₀) is the given point on the line and (a, b, c) is the direction vector. In this case, the direction vector is the unit vector in the direction of E at point P. Substitute the values of P and the direction vector into the equation, and simplify if necessary to obtain the equation of the line passing through P.

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the dimensions of the dumpster that will minimize its surface area

length l = 6.32

width w =  1.58

height h = 0.39

Length = l

width = w

height = h

given that length is four times its width

l = 4w

Now, the formula for the surface area of a cube is;

S = 2lh + 2lw + 2wh

substitute l = 4w in the above equation

S = 2(4w)h+2(4w)w+2wh

S = 8wh+8\(w^{2}\)+2wh

S = 10wh + 8\(w^{2}\)

formula for the volume of a cube is;

V = lwh

now substitute l=4w in the above equation

V = (4w)wh

V = 4\(w^{2}\)h

h = 4\(w^{2}\)/V

Put V/2w² for h in the surface area equation to get;

S= 8w² + 10w(V/4w²)

 = 8w² + 5V/2w

given that volume V = 25.6 substitute that in the above equation

S = 8w² + 5(25.6)/2w

  = 8w² + 128/2w

Since we want to minimize the surface area, let us find the first derivative of S to get;

S' = 16w - 128/2w²

At S' = 0

0 = 16w-  128/2w²

16w =  128/2w²

32w³ = 128

w³ = 128/32

w³ = 4

w = \(\sqrt[3]{4}\)

w = 1.58 yds

since l = 4w substitute the value of w in that

l = 4(1.58) = 6.32

h = 4\(w^{2}\)/V = 4(\(1.58^{2}\))/25.6

h = 0.39

the dimensions are

length l = 6.32

width w =  1.58

height h = 0.39

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Using the conditional probability concept, it is found that the statement is true, as in a two-way probability table, we find the probability of each event B considering that each event A has happened.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

In this problem, considering the definition of conditional probability given above, the statement is true, as in a two-way probability table, we find the probability of each event B considering that each event A has happened.

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Answer:

5/8 pound

Step-by-step explanation:

Answer:

5/8 of a pound

Step-by-step explanation:

8 7/8 - 8 1/4

= 7/8 - 1/4

= (7 - 2)/8

= 5/8

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.

To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.

For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

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The percentage increase of the value of Tessa's stock is 21%.

Using this formula

Percentage increase=Current stock worth-Old stock worth/Old stock worth

Where:

Current stock worth=$297.66

Old stock worth=$246.00

Let plug in the formula

Percentage increase=$297.66 - $246.00 / 246.00 × 100

Percentage increase=$51.66/ 246.00 × 100

Percentage increase=21%

Inconclusion the percentage increase of the value of Tessa's stock is 21%.

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Answer:

Y is 4 and slope is 2

Step-by-step explanation:

the red line hits 4 and the sope is the other number that the red line hits which is 2

Answer:

Step-by-step explanation:

So use the point slope formula: y-y1=m(x-x1)

substitute y1 and x1 with the points and m with the slope: y-(-4)=2(x-3)

y+4=2(x+3).

This is Point-slope form.

you can go on if you want: y+4=2x+6(I multiplied 2 by x and 3)

subtract 4 from both sides: y=2x+2

This is slope-intercept form.

Given:

Charge before Tax = $72.60

Tax rate = 8% = 0.08

Given that she added 20% of the charge before tax as a tip, the total amount she will pay is:

Solving further, we have:

Therefore, the total amount she paid for service at the salon is $92.93

ANSWER:

$92.93

Answer: 1/4

Step-by-step explanation:

Answer:

1/4 would be your answer.

Step-by-step explanation:

Hope this helps!, and if this Is wrong someone correct me.

Answer:

21.7 - n

Step-by-step explanation:

12.7 +9

ANSWER

21.7 - n

Answer:

The anwser I got was 59.7

Step-by-step explanation:

I am in 7th grade so I most likley got the wrong anwser but Multipled 3.98 by 15 and got 59.7

The polynomial function of least degree with integral coefficients is equal to f(x) = x³ - 4x² + x + 6 with the given zeros 3, 2, -1.

As given in the question,

Given zeros of the polynomial function are :

3, 2, -1

⇒ ( x - 3 ) =0 or ( x - 2 ) = 0 or ( x + 1 ) = 0

Polynomial function of the given factors  ( x - 3 ) =0 or ( x - 2 ) = 0 or

( x + 1 ) = 0 is given by :

f (x ) = ( x - 3 )( x - 2 )( x + 1 )

⇒ f(x) = ( x² - 3x - 2x + 6 ) ( x + 1 )

⇒ f(x) = ( x² - 5x + 6 ) ( x + 1 )

⇒ f(x) = x³ + x² -5x² - 5x + 6x + 6

⇒f(x) = x³ - 4x² + x + 6

Therefore, the required polynomial function of least degree with integral coefficients using given zeros is equal to f(x) = x³ - 4x² + x + 6.

The complete question is:

Write a polynomial function of least degree with integral coefficients that has the given zeros 3, 2, -1?

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Answer:

30.5 or 61/2 cm²

Step-by-step explanation:

So the area of the figure is shown by this equation.

Area = Area of triangle - Area of rectangle cut out

        = (0.5)(9)(9) - (2)(5)

        = 40.5 - 10

        = 30.5 or 61/2 cm²

Answer:

b  ≥ 4

Step-by-step explanation:

12b + 12 ≥ 60

Subtract 12 from each side

12b + 12-12 ≥ 60-12

12b  ≥ 48

Divide each side by 12

12b/ 12 ≥ 48/12

b  ≥ 4

Close circle at 4  line to the right

Answer:

Step-by-step explanation:

12b + 12 ≥ 60

1) add -12 at both members

12b + 12-12 ≥ 60 -12

12b ≥ 48

2) divide both members by 12

12/12 b ≥ 48/12

b ≥ 4

for graph the solutions we have to draw two lines

the first one is an horizontal line that has as equation the right part of the inequality

y = 60

the second one is a line the that passes from the origin and interecpts the first line in (4;60). 4 is the the first number that can be a possible value of the inequality

Equation a line that passes for two points  A (0,0) , B (4,60)

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y - 60)/ (0 -60) = (x - 4) / (0-4)

(-y+60)/60 (-x+4)/4

-y + 60 = -15x + 60

y = 15x

the solutions of the inequality are all the points between the two lines with x≥4 and y≥60

Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

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