nadine+mixes+a+juice+solution+that+is+made+from+3+gallons+of+an+80%+juice+solution+and+1+gallon+of+a+20%+juice+solution.+what+is+the+percent+concentration+of+the+final+solution?+25%+50%+65%+70%

Answers

Answer 1

The percent concentration of the final juice solution is 65%. The final solution is composed of 65% pure juice.

To compute the percent concentration of the final juice solution, we can calculate the weighted average of the two individual solutions based on their percentages and volumes.

The 80% juice solution is 3 gallons, which means it contains 0.8 * 3 = 2.4 gallons of pure juice.

The 20% juice solution is 1 gallon, which means it contains 0.2 * 1 = 0.2 gallons of pure juice.

The total volume of the final solution is 3 + 1 = 4 gallons.

The total amount of pure juice in the final solution is 2.4 + 0.2 = 2.6 gallons.

To calculate the percent concentration, we divide the amount of pure juice by the total volume and multiply by 100:

Percent concentration = (Pure juice / Total volume) * 100

Percent concentration = (2.6 / 4) * 100

Percent concentration = 65%

Therefore, the percent concentration of the final juice solution is 65%.

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Related Questions

what is \(( \frac{78}{142} ^{9} )^{2} \times 9 \sqrt{5.2} \) help!!!! For now I just get that on the picture.

what is [tex]( \frac{78}{142} ^{9} )^{2} \times 9 \sqrt{5.2} [/tex] help!!!! For now I just get that

Answers

The given expression is

\(\frac{9\cdot39^{18}\cdot\sqrt{130}}{5\cdot71^{18}}\)

First, we solve the powers and the root

\(\frac{9\cdot4.3\times10^{10}\cdot11.4}{5\cdot2.1\times10^{33}}\)

We solve the products on each side of the fraction

\(\frac{441.18\times10^{10}}{10.5\times10^{33}}\)

Now, we divide whole numbers each other and powers each other

\(\begin{gathered} 42\times10^{10-33} \\ 42\times10^{-23} \end{gathered}\)Therefore, the answer is 42x10 to the -23th power, approximately.

) if a confidence interval is known to be (56.28, 62.72), what would be its margin of error? group of answer choices 3.22 6.44 1.61 6.78

Answers

The margin of error is 3.22

Given: A confidence interval is: ( 56.28 , 62.72)

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

Lower Limit = 56.28

Upper Limit = 62.72

Thus margin of Error E is given by:

A statistic called the margin of error measures the degree of random sampling error in a survey's findings. It states a probability that the outcome of a sample is likely to be close to the conclusion one would obtain if the entire population had been questioned.A number calculated from a random sample that estimates the likely size of the sampling error in an estimate of a population parameter.

E =\(\frac{Upper limit-lower limit}{2}\)

E =\(\frac{ 62.72-56.28}{2}\)

E\(= \frac{ 6.44 }{2}\)

E = 3.22

Therefore, the margin of error is 3.22

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for problems 7–21, verify that the given function is a solution to the given differential equation (c1 and c2 are arbitrary constants), and state the maximum interval over which the solution is valid. 8. y(x)

Answers

The function y(x) = c₁ cos 2x + c₂ sin 2x is a valid solution to the differential equation y'' + 4y = 0. The solution is valid for all values of x, unless specific initial conditions or constraints are given that limit its interval.

To verify if the given function y(x) = c₁ cos 2x + c₂ sin 2x is a solution to the differential equation y'' + 4y = 0, we need to substitute the function into the differential equation and check if it satisfies the equation for all values of x.

First, let's find the first and second derivatives of y(x):

y'(x) = -2c₁ sin 2x + 2c₂ cos 2x

y''(x) = -4c₁ cos 2x - 4c₂ sin 2x

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

y''(x) + 4y(x) = (-4c₁ cos 2x - 4c₂ sin 2x) + 4(c₁ cos 2x + c₂ sin 2x)

= -4c₁ cos 2x - 4c₂ sin 2x + 4c₁ cos 2x + 4c₂ sin 2x

= 0

As we can see, the expression simplifies to zero, which means that y(x) = c₁ cos 2x + c₂ sin 2x is indeed a solution to the differential equation y'' + 4y = 0.

The maximum interval over which this solution is valid depends on the initial conditions or any other constraints provided in the problem. In general, since the given solution contains periodic functions (cosine and sine), it can be defined for all real values of x.

The complete question is:

For Problems 7-21, verify that the given function is a solu- tion to the given differential equation c₁ and c₂ are arbitrary constants), and state the maximum interval over which the solution is valid.

8. y(x) = c₁ cos 2x + c₂ sin 2x,  y'' + 4y = 0

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describe fully the single transformation that takes shape A to shape B

describe fully the single transformation that takes shape A to shape B

Answers

Answer:

Divide by 2 or -2

Step-by-step explanation:

The edges lengths have decreased:

4/2=2

2/2=1

6/2=3

Transformation involves changing the position and size of a shape.

The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

From the figure, we have:

The side lengths of shape A are twice as large as the side lengths of shape BShape A can be rotated 180 degrees to map onto shape B, after dilation.

So, the scale of dilation from shape A to B is:

\(\mathbf{Scale = \frac{1}{2}}\)

Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

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slove for g
3/16= -5/4 +g

Answers

Answer:

+g=3/16+5/4

the answer : 3/16+5/4

In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. Write and equation, where the hundredths digit is x.

Answers

Answer:

The mentioned number in the exercise is:

362

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

x = hundredths digity = tens digitz = ones digit

We can write:

x = z + 1 (the hundreds digit is one more than the ones digit).y = 2x (the tens digit is twice the hundreds digit).x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

x + y + z = 11(z + 1) + y + z = 11 (remember x = z + 1)z + 1 + y + z = 11z + z +y + 1 = 11 (we just ordered the equation)2z + y + 1 = 11 (z + z = 2z)2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)2z + y = 102z + (2x) = 10 (remember y = 2x)2z + 2x = 102z + 2(z + 1) = 10 (x = z + 1 again)2z + 2z + 2 = 104z + 2 = 104z = 10 - 24z = 8z = 8/4z = 2

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

x = z + 1x = 2 + 1x = 3

And we'll use the second equation to obtain the value of y (the tens digit):

y = 2xy = 2(3)y = 6

Organizing the digits, we obtain the number:

Number = xyzNumber = 362

As you can see, the obtained number is 362.

The accounts receivable department at Rick Wing Manufacturing has been having difficulty getting customers to pay the full amount of their bills. Many customers complain that the bills are not correct and do not reflect the materials that arrived at their receiving docks. The department has decided to implement SPC in its billing process. To set up control​ charts, 10 samples of 100 bills each were taken over a​ month's time and the items on the bills checked against the bill of lading sent by the​ company's shipping department to determine the number of bills that were not correct. The results​ were:Sample No. 1 2 3 4 5 6 7 8 9 10No. of Incorrect Bills 4 3 17 2 0 5 5 2 7 2a) The value of mean fraction defective ​(p) ​= _____ ​(enter your response as a fraction between 0 and​ 1, rounded to four decimal​ places).The control limits to include​ 99.73% of the random variation in the billing process​ are:UCL Subscript UCLp ​= ______ ​(enter your response as a fraction between 0 and​ 1, rounded to four decimal​ places).LCLp ​= ____ ​(enter your response as a fraction between 0 and​ 1, rounded to four decimal​ places).Based on the developed control​ limits, the number of incorrect bills processed has been OUT OF CONTROL or IN-CONTROL​b) To reduce the error​ rate, which of the following techniques can be​ utilized:A. Fish-Bone ChartB. Pareto ChartC. BrainstormingD. All of the above

Answers

The value of mean fraction defective (p) is 0.047.

To find the mean fraction defective (p), we need to calculate the average number of incorrect bills across the 10 samples and divide it by the sample size.

Total number of incorrect bills = 4 + 3 + 17 + 2 + 0 + 5 + 5 + 2 + 7 + 2 = 47

Sample size = 10

Mean fraction defective (p) = Total number of incorrect bills / (Sample size * Number of bills in each sample)

p = 47 / (10 * 100) = 0.047

b) The control limits for a fraction defective chart (p-chart) can be calculated using statistical formulas. The Upper Control Limit (UCLp) and Lower Control Limit (LCLp) are determined by adding or subtracting a certain number of standard deviations from the mean fraction defective (p).

Since the sample size and number of incorrect bills vary across samples, the control limits need to be calculated based on the specific p-chart formulas. Unfortunately, the sample data for the number of incorrect bills in each sample was not provided in the question, making it impossible to calculate the control limits.

c) Without the control limits, we cannot determine if the number of incorrect bills processed is out of control or in control. Control limits help identify whether the process is exhibiting random variation or if there are special causes of variation present.

d) To reduce the error rate in the billing process, all of the mentioned techniques can be utilized:

A. Fish-Bone Chart: Also known as a cause-and-effect or Ishikawa diagram, it helps identify and analyze potential causes of errors in the billing process.

B. Pareto Chart: It prioritizes the most significant causes of errors by displaying them in descending order of frequency or impact.

C. Brainstorming: Involves generating creative ideas and solutions to address and prevent errors in the billing process.

Using these techniques together can help identify root causes, prioritize improvement efforts, and implement corrective actions to reduce errors in the billing process.

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which statement describes a parallelogram that must be a square?

Answers

A parallelogram that must be a square can be described by the statement: "A parallelogram in which all angles are right angles (90 degrees) is a square."

In a parallelogram, opposite sides are parallel and congruent, and opposite angles are also congruent. However, for a parallelogram to be a square, it must have additional properties:

All angles are right angles: In a square, all four angles are equal and measure 90 degrees. This distinguishes a square from a general parallelogram where the angles can be acute or obtuse.

All sides are congruent: In a square, all four sides are equal in length. This equality of side lengths sets a square apart from a rectangular parallelogram, where only opposite sides are congruent.

Diagonals are congruent and bisect each other at right angles: The diagonals of a square are equal in length and intersect at right angles, dividing the square into four congruent right triangles.

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Complete question:

Which statement describes a parallelogram that must be a square? A parallelogram with opposite sides that are congruent and diagonals that bisect the angles. A parallelogram with a right angle and diagonals that bisect the angles. A parallelogram with a right angle and opposites sides that are congruent. A parallelogram with all sides congruent.

State the domain and range of the following function: Group of answer choices Domain: All real numbers

Answers

The domain of the function is all real numbers, indicating that any real number can be used as an input for the function. However, without additional information about the specific function, it is not possible to determine the range, as it would depend on the function's characteristics and properties.

The domain of the given function is all real numbers, while the range is dependent on the specific function being referred to. Without the specific function provided, it is not possible to determine the range.

The domain of a function refers to the set of all possible input values or the values for which the function is defined. In this case, the domain is stated as all real numbers, which means that any real number can be used as an input for the function. This implies that there are no restrictions on the values that can be plugged into the function, and it is defined for any real number.

On the other hand, the range of a function represents the set of all possible output values or the values that the function can produce. The range is dependent on the specific nature of the function being considered. Without the function being specified, it is impossible to determine the range. Different functions can have different ranges, and it can vary widely based on the nature of the function and its properties.

To summarize, the domain of the function is all real numbers, indicating that any real number can be used as an input for the function. However, without additional information about the specific function, it is not possible to determine the range, as it would depend on the function's characteristics and properties.

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Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, How many more hot dogs would Winston needto sell to earn a total of $175.00 ?

Answers

Answer:

Winston would need to sell 14 more hot dogs to earn a total $175

Step-by-step explanation:

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for

The drama club is holding auditions for 5 different parts in a one-act play. If 9 people audition, how many ways can the roles be assigned?
A. 362,880
B. 15,129
C. 126
D. 120

Answers

Answer:

It is B, I got it right on edman!

Step-by-step explanation:

The correct ways can the roles be assigned is  84 ways.

To find ways can the roles be assigned.

What is combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given That:

Total individuals = 9

Available roles = 5

First, it'll be assumed that no two individual shares a role and no single individual takes two roles.

Having said this, the number of ways the roles can be assigned can be calculated using the combination formula  as follows.

ⁿCr = C(n,r)

Where n represents the total individuals

n = 9

r represents the available roles

r = 5

So,

ⁿCr = C(n,r)

⁹C₆ = C(9,6)

⁹C₆= 9!/((9-6)!*6!)

⁹C₆ = 9!/(3!*6!)

⁹C₆ = (9 * 8 * 7 * 6!)/(6! * 3 * 2 * 1)

⁹C₆ = (9 * 8 * 7)/(3 * 2 * 1)

⁹C₆ = 504/6

⁹C₆ = 84

Hence, 9 roles can be assigned to 5 people in 84 ways.

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The missing option is

E. 84

help please :) show work?! NO LINKS BRO

help please :) show work?! NO LINKS BRO

Answers

8. 85.5 cm squared
9. 45.5 cm cubed

please help me with this !!!

please help me with this !!!

Answers

A total of 336 tubs of cookie dough were sold in all.

What is a percentage?

A ratio or figure stated as a fraction of 100 is called a percentage. The sign "%" is frequently used to indicate it as a percentage or a component of a total.

So, the number of tubs sold in each week can be represented by the following sequence:

Week 1: 100

Week 2: 0.8(100) = 80

Week 3: 0.8(80) = 64

Week 4: 0.8(64) = 51.2 ≈51

Week 5: 0.8(51) = 40.8≈41

To find the total number of tubs sold in all 5 weeks, we can add up the number of tubs sold in each week:

Total = 100 + 80 + 64 + 51 + 41

Total = 336

Therefore, a total of 336 tubs of cookie dough were sold in all.

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Determine whether each expression can be used to find 2. Select Yes or No.
x=12 cos 36
x=12/cos 36
x=12 sin 54
x= 12/sin54

Determine whether each expression can be used to find 2. Select Yes or No.x=12 cos 36 x=12/cos 36 x=12

Answers

Answer:

If you have the hypotenuse, multiply it by sin(θ) to get the length of the side opposite to the angle. Alternatively, multiply the hypotenuse by cos(θ) to get the side adjacent to the angle. If you have the non-hypotenuse side adjacent to the angle, divide it by cos(θ) to get the length of the hypotenuse.

Step-by-step explanation:

An investigator examined the effects of practice on problem-solving performance. Study participants were randomly assigned to two conditions. Seventy-five participants tried to solve 30 problems after having a 10 minute practice session on a similar set of problems. A different seventy-five tried to solved the same 30 problems, but with no practice sessions. The average number of correct solutions was compared for people in the practice condition and those in the no-practice condition. What is the most appropriate statistical test to apply in this situation

Answers

The most appropriate statistical test to apply in this situation is an independent samples t-test. This test is used to compare the means of two independent groups on a continuous dependent variable, which in this case is the average number of correct solutions.

The study participants were randomly assigned to two different conditions, and the goal is to compare the means of the two groups (those who had a practice session and those who did not) on the dependent variable of problem-solving performance (measured by the average number of correct solutions).

The t-test would allow the researcher to determine if there is a significant difference between the means of the two groups, taking into account the variability within each group. Specifically, the researcher would calculate a t-value based on the difference between the means of the two groups and the standard error of the difference. This t-value would be compared to a critical value based on the degrees of freedom (which in this case would be 148, calculated as 75 + 75 - 2). If the calculated t-value exceeds the critical value, the researcher can conclude that there is a significant difference between the means of the two groups. A p-value can also be calculated to determine the probability of obtaining such a result by chance.

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a horse with no name
father and son make a 64km journey through the desert, starting at 4pm

Answers

Answer:

----------------------------------------------------------------------------------------------------------

The time they arrive at the destination is 9:24 am the next day

How to determine the time they arrive at the destination.

From the question, we have the following parameters that can be used in our computation:

Time = 4 pm

Distance = 64 km

Start by calculating time taken for the father to ride the horse and son to walk the first 32 km:

Time = Distance / (Difference between rates of father and son)

Time = 32 km / (8 km/h - 3 km/h)

Time = 32 km / 5 km/h

Time = 6.4 hours

Calculate time taken for the son to ride the horse and father to walk the remaining 32 km:

Time = Distance / (Difference in Speed)

Time = 32 km / (8 km/h - 4 km/h)

Time = 32 km / 4 km/h

Time = 8 hours

So, we have

Total time = 6.4 hours + 8 hours + 3 hours break + 4 pm

Evaluate

Total time = 9:24 am the next day.

Write y=2/3x+7 in standard form

Write y=2/3x+7 in standard form

Answers

Step-by-step explanation:

y = 2/3x + 7

Multiply both sides by 3 to get rid of the fraction 2/3

3y = 2x +21

subtract 2x from both sides

3y - 2x = 21

Answer ofc is 3x - 2y = 21

Please rate if you get the answer right.

Describe how to solve 2x + 36-4x -10 ) = 10 to a middle schooler. Show all the steps and tell
us how you can check if it is correct.

Answers

First, you would combine to 2x and 4x (which makes -2x), then combine 36 and -10 (which makes 26). You are left with the equation -2x+26=10. After finding the equation, you’d subtract 26 from both sides, which would make the equation -2x=-16. Divide both sides by -2, and after you do that you should get your answer x=8.

Answer:

First you would have to combine the numbers that are the same, so combine all the X's and the other numbers, with out a variable (without an X). The numbers with X are 2x and -4x, so you add them, you should have 2x (2+ (-4)= 2) your equation should look like this : 2x + 36 - 10= 10

Next you need to combine the other numbers, 36 and -10, add them, and you should get 26. Your problem should look like this 2x+26=10

Next you will need to subtract 26 from each side, what you do to one side of the equal sign you must do to the other. Your problem should look like this : 2x=-16

To find X you have to get X alone, so you have to divide how many x's there are, 2, so divide both sides by 2 (rembering that what you do to one side you must do to the other). So you should have x= -8

Step-by-step explanation:

What is the best number?: Five million, three hundred eighteen thousand and eight or 73 because it is a binary ____?____?Select one:a. 73 because it is a binary palindromeb. Five million, three hundred eighteen thousand and eight because it is a binary palindromec. All of the aboved. None of the above

Answers

The binary representation of 5,318,008 is 10100010010010101111000, whereas the binary representation of 73 is 1001001.

We notice that 73 is a binary palindrome while 5,318,008 is not, therefore we conclude that the best number is 73 and the answer is a.

15. Developing Proof Complete the following proof.
Given: C is the midpoint of BD,
mLEAC = mLAEC,
mLBCA > mLDCE
Prove: AB > ED

15. Developing Proof Complete the following proof.Given: C is the midpoint of BD,mLEAC = mLAEC,mLBCA

Answers

mLEAC=MLEC A the answer i think I am not that sure I try my best to do it

f(x) g(x) ​ =x 2 =2x 2 ​ Which option could show the graphs of � ff and � gg? Choose 1 answer: Choose 1 answer: (Choice A) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g also opens up and is narrower than parabola f. A Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g also opens up and is narrower than parabola f. (Choice B) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g also opens up and is wider than parabola f. B Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g also opens up and is wider than parabola f. (Choice C) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g opens down and is narrower than parabola f. C Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g opens down and is narrower than parabola f. (Choice D) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g opens down and is wider than parabola f. D Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g opens down and is wider than parabola f. Report a problem

Answers

If f(x) ​ =\(x^2\) g(x)=\(\frac{1}{2} x^2\), then the correct answer is (Choice A) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g also opens up and is narrower than parabola f.

The parabola-shaped graph of f(x) = \(x^2\) has an upward opening, travels past the origin, and steepens as x deviates from 0.

In the same way that the graph of f(x) is a parabola that rises upwards and passes through the origin, the graph of g(x) = \(\frac{1}{2} x^2\) is likewise a parabola, but it is narrower than the graph of f(x) because the coefficient 1/2 compresses the curve horizontally.

Hence, the appropriate response is (Choice A).

The complete question is:-

If f(x)  =x^2 g(x) =1/2x^2 ​ Which option could show the graphs of f and g? Choose 1 answer:

(Choice A) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g also opens up and is narrower than parabola f.

(Choice B) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g also opens up and is wider than parabola f.

(Choice C) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g opens down and is narrower than parabola f.

(Choice D) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g opens down and is wider than parabola f.

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f(x) g(x) =x 2 =2x 2 Which option could show the graphs of ff and gg? Choose 1 answer: Choose 1 answer:
f(x) g(x) =x 2 =2x 2 Which option could show the graphs of ff and gg? Choose 1 answer: Choose 1 answer:
f(x) g(x) =x 2 =2x 2 Which option could show the graphs of ff and gg? Choose 1 answer: Choose 1 answer:

An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in each of the three markets. The price function for cars sold in America is p = 29 − 0.2x (for 0 ≤ x ≤ 145),

Answers

Answer:

a. The company's profit function P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26

b. The number of cars that must be sold in each market are 60 in America, also 60 in Europe and 80 in Asia.

Step-by-step explanation:

Note: This question is not complete and it has some errors in the figures used. The correct complete question is therefore provided before answering the question as follows:

An automobile manufacturer sells cars in America, Europe, and Asia, charging a different price in each of the three markets. The price function for cars sold in America is p = 27 − 0.2x  (for 0 ≤ x ≤ 135), the price function for cars sold in Europe is q = 15 − 0.1y  (for 0 ≤ y ≤ 150), and the price function for cars sold in Asia is r = 19 − 0.1z (for 0 ≤ z ≤ 190), all in thousands of dollars, where x, y, and z are the numbers of cars sold in America, Europe, and Asia, respectively. The company's cost function is C = 26 + 3(x + y + z) thousand dollars.

(a) Find the company's profit function P(x, y, z). [Hint: The profit will be revenue from America plus revenue from Europe plus revenue from Asia minus costs, where each revenue is price times quantity.]

P(x, y, z) =

(b) Find how many cars should be sold in each market to maximize profit. [Hint: Set the three partials Px, Py, and Pz equal to zero and solve. Assuming that the maximum exists, it must occur at this point.]

The explanation to the answers is now given as follows:

(a) Find the company's profit function P(x, y, z). [Hint: The profit will be revenue from America plus revenue from Europe plus revenue from Asia minus costs, where each revenue is price times quantity.]

p = price function for cars sold in America = p = 27 − 0.2x (for 0 ≤ x ≤ 135)

q = price function for cars sold in Europe = 15 − 0.1y (for 0 ≤ y ≤ 150)

r = price function for cars sold in Asia = 19 − 0.1z (for 0 ≤ z ≤ 190)

C = company's cost function = 26 + 3(x + y + z) = 26 + 3x + 3y + 3z

P(x, y, z) = profit function

x, y, and z are the numbers of cars sold in America, Europe, and Asia, respectively

Therefore, we have:

TR = Total revenue = px + qy + rz …………………………….. (1)

Substituting the relevant values into equation (1), we have:

TR = (27 − 0.2x)x + (15 − 0.1y)y + (19 − 0.1z)z

TR = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2

Also,

P(x, y, z) = TR – C ……………………………………… (2)

Substituting the relevant values into equation (2), we have:

P(x, y, z) = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2 – (26 + 3x + 3y + 3z)

P(x, y, z) = 27x – 0.2x^2 + 15y – 0.1y^2 + 19z – 0.1z^2 – 26 – 3x – 3y – 3z

P(x, y, z) = 27x – 3x +15y – 3y +19z – 3z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26

P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26 ……………….. (3)

Therefore, the company's profit function P(x, y, z) = 24x +12y +16z – 0.2x^2 – 0.1y^2 – 0.1z^2 – 26.

(b) Find how many cars should be sold in each market to maximize profit. [Hint: Set the three partials Px, Py, and Pz equal to zero and solve. Assuming that the maximum exists, it must occur at this point.]

As indicated in the question, the number cars that should be sold in each market to maximize profit can be calculated by deriving the three partials Px, Py, and Pz from the profit function P(x, y, z), i.e. equation (3) in part a above, and set equal to zero and then solve as follows:

In America

From equation (3), we have:

Px = 24 – 0.4x = 0

Therefore, we have:

24 – 0.4x = 0

24 = 0.4x

x = 24 / 0.4

x = 60

In Europe

From equation (3), we have:

Py = 12 – 0.2y = 0

Therefore, we have:

12 – 0.2y = 0

12 = 0.2y

y = 12 / 0.2

y = 60

In Asia

From equation (3), we have:

Pz = 16 - 0.2z = 0

Therefore, we have:

16 - 0.2z = 0

16 = 0.2z

z = 16 / 0.2

z = 80

Based on the above calculations, the number of cars that must be sold in each market are 60 in America, also 60 in Europe and 80 in Asia.

5m^2-17m+6 in factor form

Answers

Answer: (m-3)(5m-2)

Step-by-step explanation:

5m^2-17m+6 factored is (m-3)(5m-2).

help plz ill give brainliest​

help plz ill give brainliest

Answers

Answer:

b

Step-by-step explanation:

Carter has a pool that can hold a maximum of 450 gallons of water. The pool already contains 150 gallons of water. Carter begins to add water at a rate of 8 gallons per minute. He wants to know how many minutes he needs to reach its maximum capacity. Let m represent the number of minutes. almost forgot:
Write an inequality that represents this problem.

Answers

450-150=300
300 divided by 8= m
M= 37.5 minutes

market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers.

Answers

Market classes and grades are used to describe the quality and characteristics of agricultural products, including meat, poultry, fruits, and vegetables.  True

They provide a common language for buyers and sellers to communicate about the characteristics, such as the age, sex, fat content, and muscling, of the product. Market classes and grades help ensure that buyers receive products that meet their quality standards and help sellers receive a fair price for their products. For example, beef is graded based on marbling, maturity, and lean color, with the highest grade being USDA Prime, followed by USDA Choice and USDA Select.

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Full Question: market classes and grades encompass descriptive terminology of carcasses and products for the understanding of different groups or buyers. T/F

This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.

Market classes and grades refer to the categorization and labeling of carcasses and products based on their quality and characteristics. These classifications use descriptive terminology that is understood by different groups of buyers, such as meat packers, wholesalers, retailers, and consumers. Market classes typically group animals based on their intended use, such as beef cattle for slaughter, while grades are assigned based on factors such as maturity, marbling, and fat content. This standardized system of classification allows for easier communication and understanding between buyers and sellers, and ensures consistency and fairness in the marketplace.

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PLS HELP ME IM AWARDING BRAINLIEST!

PLS HELP ME IM AWARDING BRAINLIEST!

Answers

Answer:

200.96ft^2

Step-by-step explanation:

Diameter of the circular area of grass that the sprinkler sprays with water is 16 feet.

Divide the diameter by 2 to get its radius

Radius of the circle = Diameter of the circle / 2

so, 16 feet / 2 = 8 feet

Area of the circle is π times the square of the radius

Area of the circle = π × r² = 3.1415 × 8 feet = 201.056 square feet.

Closest answer will be 200.96ft^2

Answer:

3rd one :>

Step-by-step explanation:

g(x) =2x+3, find g(-3)

Answers

The value of g(-3)=-9

The function is a relation between two sets X and Y which are one-one or many-one. Here set X is called the domain and set Y is called codomain.

For example: f(x)=3x+9

To get the value of the function at any point of x, we have to put the number in the function to get its function value.

For example the value of f(x) in above function at x=a will be f(a)=3a+9

Similarly given function in the question

g(x)=2x+3

to get the value of g(x) at x=-3 put the value of x in the function,

g(-3)= 2(-3)+3 = -3

Therefore the value of g(-3) is -3.

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change from rectangular to cylindrical coordinates. (let r ≥ 0 and 0 ≤ ≤ 2.) (a) (−1, 1, 1) (b) (−6, 6sqrt(3),4)

Answers

The cylindrical coordinates for (-6, 6sqrt(3), 4) are (r, θ, z) = (12, -π/3, 4).

To change from rectangular to cylindrical coordinates, we use the following equations:

\(r = \sqrt\(x^2 + y^2)\)

θ = arctan(y/x)

z = z

For part (a), we have the point (-1, 1, 1).

\(r = \sqrt\((-1)^2 + 1^2) }= \sqrt2\)

θ = arctan(1/(-1)) = -π/4 (Note: We use the quadrant in which x and y are located to determine the sign of θ)


z = 1

So the cylindrical coordinates for (-1, 1, 1) are (r, θ, z) = (√2, -π/4, 1).



For part (b), we have the point\((-6, 6\sqrt\((3)}, 4)\).

\(r = √((-6)^2 + (6\sqrt\((3)}}^2) = 12\)

θ = arctan\(((6\sqrt\((3)})/(-6))\) = -π/3  (-6, 6\sqrt\((3)}, 4)

z = 4

So the cylindrical coordinates for ( (-6, 6\sqrt\((3)}, 4) are (r, θ, z) = (12, -π/3, 4).

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The scale on a map is 1cm = 250 km. What would be the distance on the map, if the actual distance between the two cities is 1,000km? *​

Answers

Answer:

so if its actually 1000 and that map thing is 250

250 goes into 1000 4 times so

4cm

Hope This Helps!!!

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