Explain! Prize! Thank you!!!!

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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a. The equation representing the cost of buying and operating the Super Cool X1400 is: C = 800 + 60m. b. The equation representing the cost of buying and operating the Efficient Energy X2000 is: C = 1200 + 40m. c. Your family would have to use the Efficient Energy model for 10 months to compensate for the additional cost of the original purchase. d. Figuring your family will only use the air conditioner for four months each year, you would have to wait 5 years to start saving money overall.

a. The cost of buying the Super Cool X1400 is a one-time expense of $800. Additionally, the cost of operating it is $60 per month. Therefore, the equation representing the cost C as a function of months m is C = 800 + 60m.

b. The cost of buying the Efficient Energy X2000 is a one-time expense of $1200. The operating cost is $40 per month. Hence, the equation representing the cost C as a function of months m is C = 1200 + 40m.

c. To compensate for the additional cost of the original purchase (which is $400), we equate the two cost equations and solve for m:

800 + 60m = 1200 + 40m

20m = 400

m = 20

Therefore, your family would have to use the Efficient Energy model for 20 months (or 10 months more than the Super Cool X1400) to compensate for the additional cost.

d. Considering your family only uses the air conditioner for four months each year, we divide the total number of months (20) by four to find the number of years needed to start saving money overall:

20 months / 4 months/year = 5 years

Hence, you would have to wait 5 years to start saving money overall by choosing the Efficient Energy X2000.

a. The cost of buying and operating the Super Cool X1400 is represented by the equation C = 800 + 60m.

b. The cost of buying and operating the Efficient Energy X2000 is represented by the equation C = 1200 + 40m.

c. Your family would have to use the Efficient Energy model for 10 months to compensate for the additional cost of the original purchase.

d. Assuming your family uses the air conditioner for four months each year, you would have to wait 5 years to start saving money overall by choosing the Efficient Energy X2000.

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complete question- Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy the Efficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model is less expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient Energy X2000 costs only $40 per month to operate. a. Write an equation to represent the cost of buying and operating the Super Cool X1400 where C= cost and m= months. b. Write an equation to represent the cost of buying and operating the Efficient Energy X2000. c. How many months would your family have to use the Efficient Energy model to compensate for the additional cost of the original purchase? d. Figuring your family will only use the air conditioner for four months each year, how many years ill you have to wait to start saving money overall?

True. We would not reject the null hypothesis if the computed value of f is 0.99 and the f critical value is 3.89.

In hypothesis testing, the f-value is used to compare the variability between groups or conditions to the variability within groups. The f-value is compared to a critical value to determine if the results are statistically significant.

If the computed value of f is 0.99 and the f critical value is 3.89, we would not reject the null hypothesis. In order to reject the null hypothesis, the computed f-value should be larger than the critical f-value. Since 0.99 is smaller than 3.89, we do not have sufficient evidence to reject the null hypothesis.

The f critical value represents the cutoff point beyond which the observed data would be considered statistically significant. If the computed f-value is smaller than the critical f-value, it means that the observed data does not provide strong enough evidence to reject the null hypothesis. Therefore, in this scenario, we would not reject the null hypothesis.

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main answer: yes, translated triangles are congruent

supporting answer

what is congruent triangles?

Two triangles are said to be congruent if all three corresponding sides and angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same. They coincide with each other.

body of the answer:

when all corresponding sides and corresponding angles of two triangles of same measure,then it is said to be congruent triangle

shapes that have been rotated or translated are congruent shapes.this does not mean that they are not exactly the same.

final answer:hence the translated triangles are congruent

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Yes, translated triangles are congruent.

What are congruent triangles?

Two triangles are said to be congruent if all three corresponding sides and angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same. They coincide with each other.

When all corresponding sides and corresponding angles of two triangles are of the same measure, then it is said to be a congruent triangle.

The rules of congruent triangles are SSS, SAS, AA, and ASA.

Shapes that have been rotated or translated are congruent shapes. This does not mean that they are not exactly the same.

Hence the translated triangles are congruent.

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Answer:

I THINK IT WORKS

TRY IT

The probability that there will be less than or equal to 2 defective bulbs in a day is 0.6767 or 67.67%.

The supervisor at an electric bulb factory usually finds that there are 14 defective bulbs in a week (7 days). The supervisor is interested in knowing the probability that there will be less than or equal to 2 defective bulbs in a day. Using the Poisson distribution, we can calculate this probability.

The formula for the Poisson distribution is P(x) = (e^ᵃ (a=-λ) * λˣ) / x!,

where x is the number of events, e is the constant 2.71828, λ is the mean number of events, and x! is the factorial of x. In this case, λ = 14/7 = 2, since there are 14 defective bulbs in a week.

Plugging in x = 0, 1, or 2, we get P(0) = 0.1353, P(1) = 0.2707, and P(2) = 0.2707. Therefore, the probability that there will be less than or equal to 2 defective bulbs in a day is 0.6767 or 67.67%.

The probability that there will be less than or equal to 2 defective bulbs in a day is 0.6767 or 67.67%.

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Answer:  2y = 3x

Reason:

The equation x:y = 2:3 is the same as saying x/y = 2/3

Cross multiply to get 3x = 2y which flips to 2y = 3x

The values of the trigonometric functions of t are Sin(t)=0.2, Cos(t) = -5/12, Csc(t) = 5,Sec(t) = -12/5, Cot(t) = -5/12 and  the radius r of the circle if an arc of length 20 m on the circle subtends a central angle of 5π/7 rad is 8.86 m

To find the values of the trigonometric functions of t, the tan(t) value was used to calculate the sin(t) value by using the relationship sin²(t) + cos²(t) = 1. The other trigonometric functions were calculated by using the relationship among the trigonometric functions.

Sin(t) = √(1 - (tan(t))^2) = √(1 - (-12/5)^2) = √(1 - 144/25) = √(25/25 - 144/25)   = √(1/25) = 0.2

Csc(t)= 1/0.2= 5

The radius of the circle was then determined by using the arc length and the angle subtended at the center. The arc length was divided by the subtended angle to find the radius. The result was rounded off to two decimal places.

Radius r = (20m)/(5π/7)   = (20m*7)/(5π)   = 28/π = 8.86 m

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Answer:

-32p+56

Step-by-step explanation:

-8*4p=-32p

-7*-8=56(negative times negative =positive)

-32p+56

Answer:

hi

Step-by-step explanation:

-8(4p-7)= -8×4p -7×(-8) = -32p-56

Answer:

S= t/2+9/2

Hope This Helps :-)

For a one-tailed test with a 0.05 level of significance, the critical z statistic is 1.645, but the critical t statistic is 1.96. The statement is false.

The statement is incorrect. For a one-tailed test with a 0.05 level of significance, the critical z statistic is indeed 1.645. However, the critical t statistic value depends on the degrees of freedom (df), which is not provided in the statement. The 1.96 value mentioned is actually the critical z statistic for a two-tailed test with a 0.05 level of significance.

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The total return on the 3 percent preferred stock for last year is $2.00.

To calculate the total return on the preferred stock, we need to consider two components: capital appreciation and dividends received.

The capital appreciation represents the increase in the stock's price over time. In this case, the stock was purchased for $97.06 and its current market price is $99.06. To calculate the capital appreciation, we subtract the initial purchase price from the current market price:

Capital Appreciation = Current Market Price - Purchase Price

= $99.06 - $97.06

= $2.00

Therefore, the capital appreciation of the stock is $2.00.

Preferred stocks typically pay fixed dividends at regular intervals. Since the question does not provide any information about dividends received, we assume that no dividends were paid during the last year. Hence, the dividend component of the total return is zero.

To calculate the total return, we sum up the capital appreciation and dividend components:

Total Return = Capital Appreciation + Dividends

= $2.00 + $0.00

= $2.00

Therefore, the total return for the last year on the 3 percent preferred stock is $2.00.

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The value of x that will satisfy the equation is x=-1.

We have given that,

\(\left|x-1\right|=\left|x+3\right|\)

We have to solve the above inequality

Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions.

Find the positive and negative intervals

\(x < -3,\:\:-3\le \:x < 1,\:\:x\ge \:1\)

Solve the inequality for each interval

\(x < -3,\:\:-3\le \:x < 1,\:\:x\ge \:1\)

\(\mathrm{No\:Solution}\quad \mathrm{or}\quad \:x=-1\)

Therefore we get,

\(x=-1\)

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Answer:

Step-by-step explanation:

5 : 25

In simplest form

1 : 25

In fraction form

1/25

In decimal form

0.04

150 : 300

In simplest form

1 : 2

In fraction form

1/2

In decimal form

0.5

The desired confidence interval is [7.3, 7.9].

Solution: The given problem can be solved by the formula:

Confidence Interval = [mean – (Za/2 * (σ/√n)),

mean + (Za/2 * (σ/√n))]

Where, Zα/2 is the Z value of alpha by 2.

The formula to find Zα/2 is given as: Zα/2 = InvNorm (1-α/2)

Here, we need to find the confidence interval for the mean number of energy drinks consumed by adults.

Therefore, Mean (μ) = 7.6

Population Standard Deviation (σ) = 0.8

Sample Size (n) = 159

Confidence Level = 85%

Here, we need to construct a 85% confidence interval for the mean.

So, α = 100% – Confidence Level

α = 100% – 85% = 15%

α/2 = 15/2 = 7.5% or 0.075

Using Z Table, the value of Zα/2 can be calculated as:

Zα/2 = InvNorm(1-α/2)

= InvNorm(1-0.075)

= InvNorm(0.925) = 1.44 (rounded off to two decimal places)

Now, we can substitute the given values into the formula for the confidence interval.

Confidence Interval = [mean – (Zα/2 * (σ/√n)), mean + (Zα/2 * (σ/√n))]

Confidence Interval = [7.6 – (1.44 * (0.8/√159)), 7.6 + (1.44 * (0.8/√159))]

Confidence Interval = [7.3, 7.9]

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The test statistic for the population mean has a t-distribution with 9 degrees of freedom. Correct option is D.

The test statistic for the population mean in this scenario is a t-distribution with 9 degrees of freedom (option D).

To determine the test statistic, we need to use the formula:

t = (x' - μ) / (s / √n)

where x' is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

In this case, the hypothesized population mean is 2.5 grams, the sample mean is 2.47 grams, the sample standard deviation is 0.04 gram, and the sample size is 10.

Plugging these values into the formula, we get:

t = (2.47 - 2.5) / (0.04 / √10) ≈ -1.58

Since the sample size is less than 30, we use a t-distribution instead of a standard normal distribution. The degrees of freedom for the t-distribution is equal to n - 1, which in this case is 10 - 1 = 9.

We can use this distribution to calculate the p-value and make inferences about the population mean based on the sample data. Therefore, the correct option is D.

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The probability that a person chooses a new car with an Automatic Transmission and no other option is 83%.

P(A and not(B or C)) = P(A) - P(A and (B or C))

                   = P(A) - P(A and B) - P(A and C) + P(A and B and C)

                   = 0.70 - 0.85 + 0.98

                   = 0.83

Therefore, the probability is 83%.

Mutually exclusive events are events that cannot occur at the same time. If two events are mutually exclusive, the occurrence of one event means that the other event cannot occur. In this case, the events A, B, and C are not mutually exclusive since the probabilities of A or B, A or C, and B or C are not zero. If two events are mutually exclusive, they cannot be independent because the occurrence of one event affects the probability of the other event. Independence means that the occurrence of one event does not affect the probability of the other event. Therefore, the answer is No, mutually exclusive events are not independent.

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Answer:

Step-by-step explanation:

if we consider mod then the negative turns to positive and positive remains positive so it will be

279 < 282 which is l279l < l-282l

Answer:

102 degrees

Step-by-step explanation:

angle in a point is equal to 360 degrees

so 163+95=258

360-258=102

Answer:

10

Step-by-step explanation:

Answer:

it's 100

Step-by-step explanation:

just divide 50,000 by 500 and you'll get 100 so 50000 Is 100 times as 500

In an experimental study, random error due to individual differences can be reduced if a(n) control group is implemented.

One effective way to reduce random error due to individual differences in an experimental study is to include a control group. A control group serves as a baseline comparison group that does not receive the experimental treatment. By having a control group, researchers can isolate and measure the effects of the independent variable more accurately.

The control group provides a point of reference to assess the impact of individual differences on the study's outcome. Since both the experimental group and control group are subject to the same conditions, any observed differences can be attributed to the experimental treatment rather than individual variations.

This helps to minimize the influence of confounding variables and random error associated with individual differences.

By comparing the outcomes of the experimental group and control group, researchers can gain insights into the specific effects of the treatment while controlling for individual differences. This improves the internal validity of the study by reducing the potential bias introduced by individual variability.

In summary, including a control group in an experimental study helps to reduce random error due to individual differences by providing a comparison group that is not exposed to the experimental treatment. This allows researchers to isolate and measure the effects of the independent variable more accurately.

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The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Answer:

10

Step-by-step explanation:

20/2=10

Answer:

10

Step-by-step explanation:

20÷2=10

twenty divided by two is ten

Answer:

Step-by-step explanation:

\(12\sqrt{7}\\=31.74901\)

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

The resultant velocity is 12.21 m/s.

Step-by-step explanation:

We are given that the water from a fire hose follows a path described by y equals 2.0 plus 0.9 x minus 0.10 x squared ​(units are in​ meters).

Also, v Subscript x is constant at 10.0 ​m/s.

The water from a fire hose follows a path described by the following equation below;

\(y=2.0 + 0.9x-0.10x^{2}\)

The velocity of the \(x\) component is constant at =  \(v_x=10.0 \text{ m/s}\)

and the point at which resultant velocity has to be calculated is (9.0,2.0).

Let the velocity of x and y component be represented as;

\(v_x=\frac{dx}{dt} \text{ and } v_y=\frac{dy}{dt}\)

Now, differentiating the above equation with respect to t, we get;

\(y=2.0 + 0.9x-0.10x^{2}\)

\(\frac{dy}{dt} =0 + 0.9\frac{dx}{dt} -(0.10\times 2)\frac{dx}{dt}\)

\(\frac{dy}{dt} = 0.9\frac{dx}{dt} -0.2\frac{dx}{dt}\)

\(v_y = 0.9v_x -0.2v_x\)

\(v_y = 0.7v_x\)

Now, putting \(v_x=10.0 \text{ m/s}\) in the above equation;

\(v_y = 0.7 \times 10.0\) = 7 m/s

Now, the resultant velocity is given by = \(v=\sqrt{v_x^{2}+v_y^{2} }\)

                            \(v=\sqrt{10^{2}+7^{2} }\)

                               = \(\sqrt{149}\) = 12.21 m/s

Answer: 3.74 inches.

Step-by-step explanation: We can use the following to help us solve this proportion:

1.4 / 1.54 = 3.4 / x (where x is the unknown value that we are trying to solve)

1.54 / 1.4 = 1.1

x / 3.4 = 1.1

The only number that can make the following above true is 3.74, so that is your answer.

Let me know if this is right! :)

It is always best to calibrate the apparatus or use a different method to confirm the identity of the sample.

One possible way to check the identity of the sample without calibrating either apparatus is to perform a melting point depression experiment using a known impurity. This method works on the principle that adding an impurity to a compound will lower its melting point.

To do this, we can mix a small amount of the suspected compound with a known impurity that has a melting point close to the melting point range of the suspected compound. We can then measure the melting point range of the mixture using both apparatus.

If the mixture melts at a lower temperature range than the suspected compound as measured by both apparatus, then it is likely that the suspected compound is the pure compound, since the impurity has caused a depression in the melting point range. On the other hand, if the mixture melts at a similar temperature range as the suspected compound as measured by both apparatus, then it is likely that the suspected compound is not pure.

It is important to note that this method is not foolproof and may not work well if the impurity has a significantly different melting point than the suspected compound or if the impurity is present in too low of a concentration to cause a significant depression in the melting point range. Therefore, it is always best to calibrate the apparatus or use a different method to confirm the identity of the sample.

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Answer:

a=-3

b=5/2

c=-1/2

Step-by-step explanation:

3^-3=1/3^3=1/27    a=-3

3^5/2=√3^5=9√3           b=5/2

3^-1/2=1/√3                         c=-1/2

Answer:

Step-by-step explanation:

\(3^a = 1/27\\Write ; 1/27 -in-exponential-form\\3^a = 3^-^3\\Cancel-out-the-base\\a = -3\)

\(3^b = 9\sqrt{3} \\Convert 9\sqrt{3} to base 3\\ 3^b = 3^{\frac{5}{2} } \\Cancel-out-the-base\\b = 5/2\)

\(3^c = \frac{1}{\sqrt{3} } \\Apply -exponent -rule ;\frac{1}{a^b}=a^{-b}\\\frac{1}{\sqrt{3}}=3^{-\frac{1}{2}}\\3^c = 3^{-\frac{1}{2} } \\\mathrm{Apply\:exponent\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}\\3^{-\frac{1}{2}}=3^{-\frac{1}{2}}\\3^c = 3^{-\frac{1}{2} } \\\mathrm{If\:}a^{f\left(x\right)}=a^{g\left(x\right)}\mathrm{,\:then\:}f\left(x\right)=g\left(x\right)\\c = -\frac{1}{2}\)

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Answer:

110 ft  

Step-by-step explanation:

The length of fencing is four times the perimeter of one garden.

The formula for the perimeter of a rectangle is  

P = 2l + 2w

The total perimeter for all four rectangles is

P = 4× (2l + 2w) = 8l + 8w

Data:

 l = 9¼ ft

w = 4½ ft

Calculation:

P = 8l + 8w = 8×9¼ + 8×4½ = 72⁸/₄ + 32⁸/₂ =(72 + 2) + (32 + 4) = 74 + 36 = 110 ft

The total length of fencing is 110 ft.