Evaluate the expression 8.2(5)^2

A) The price-demand relationship for a clock radio is given by x=4000-40p. B) The revenue function R(x) is found to be R(x) = x * [(4000 - x) / 40]. C) The marginal revenue at a production level of 2700 clock radios is calculated using the derivative R'(x) = (4000 - 3x) / 40, and D) R'(3200) = -60.00 indicates a decrease in revenue of $60.00 per unit at a production level of 3200 clock radios.

(A) To express the price p in terms of the demand x, we can rearrange the equation x=4000-40p to solve for p. Subtracting x from both sides and dividing by -40, we get p = (4000 - x) / 40. The domain of this function represents the possible values for x, which should be non-negative since it doesn't make sense to have negative demand. Therefore, the domain is x ≥ 0.

(B) The revenue R(x) from selling x clock radios can be calculated by multiplying the price p by the quantity x. Since p = (4000 - x) / 40, we have R(x) = x * p = x * [(4000 - x) / 40]. The domain of the revenue function depends on the domain of x, which we determined in part (A) as x ≥ 0.

(C) The marginal revenue represents the change in revenue resulting from producing one additional unit. To find the marginal revenue at a production level of 2700 clock radios, we need to find R'(x) (the derivative of the revenue function) and evaluate it at x = 2700. Differentiating R(x) = x * [(4000 - x) / 40] with respect to x, we find R'(x) = (4000 - 3x) / 40. Substituting x = 2700 into the derivative, we get R'(2700) = (4000 - 3 * 2700) / 40.

(D) The interpretation of R'(3200) = -60.00 is that the marginal revenue at a production level of 3200 clock radios is -60.00 dollars per unit. This means that producing an additional unit at this level would result in a decrease in revenue by $60.00. The negative value indicates a diminishing marginal revenue, which suggests that the market might be becoming saturated or that there are competitive factors affecting the demand for the clock radios.

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The radius of J is 76. so option A is correct.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

By applying Pythagoras theorem In right triangle,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(720 + J)² = (648)² + J²

518400+ J² + 1440J = 419904 + J²

1440J = 518400- 419904

J = 76

Therefore, J = 76 units is the answer.

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Answer:

N=19

Step-by-step explanation:

BNA Brand New Animal is the best anime

Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step explanation:

Use the converse of the Pythagorean Theorem ([tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:

[tex]13^{2} = 169[/tex]

[tex]4^{2} =16[/tex]

169-16=153.

[tex]\sqrt{153}[/tex] ≈ 12

or

[tex]\sqrt{153}=12.36931688[/tex]

or if the problem has to be exact (using radicals)

3*[tex]\sqrt{17}[/tex]

I hope this helps ;)

Step-by-step explanation:

[tex]2 \times 14 \times 13 +12 \times 10 + 14 \times 10 = \\ = 624[/tex]

1) The component form of AB is (-3-0, 5-2) or (-3, 3). 2) AB = (-3, 3).

3) The coordinates of the point 2/3 of the way from A to B are (3, -1).

1) The component form of AB is (-3-0, 5-2) or (-3, 3).

2) AB = (-3, 3).

3) To determine the coordinates of the point 2/3 of the way from A to B, we can use the formula for finding a point on a line segment. Let's call the point we're looking for C. The x-coordinate of C can be found by taking 2/3 of the difference between the x-coordinates of A and B and adding it to the x-coordinate of A. Similarly, the y-coordinate of C can be found by taking 2/3 of the difference between the y-coordinates of A and B and adding it to the y-coordinate of A.

Using this formula, we can calculate the x-coordinate of C as:

x-coordinate of C = (2/3)*(2 - 5) + 5 = (2/3)*(-3) + 5 = -2 + 5 = 3.

And the y-coordinate of C as:

y-coordinate of C = (2/3)*(0 - (-3)) + (-3) = (2/3)*(3) - 3 = 2 - 3 = -1.

Therefore, the coordinates of the point 2/3 of the way from A to B are (3, -1).

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B) A high correlation between two or more independent variables would indicate the possible presence of multicollinearity in a regression analysis.

Multicollinearity occurs when two or more independent variables in a regression model have a strong correlation with one another, making it difficult to distinguish the individual influence of each independent variable on the dependent variable.

Poorly constructed experiments, heavily observational data, introducing new variables that are dependent on other factors, including identical variables in the dataset, incorrect use of dummy variables, or inadequate data can all lead to multicollinearity.

Calculating the variance inflation factor (VIF) for each independent variable is one way for detecting multicollinearity; a VIF value more than 1.5 shows multicollinearity.

To correct multicollinearity, one of the highly correlated variables can be removed, combined into a single variable, or a dimensionality reduction approach such as principal component analysis can be used.

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Answer:

8.9

Step-by-step explanation:

8.94427191

Answer:

8.9

Step-by-step explanation:

8.94427191 the number 1 spot to the right of the decimal point is tenths. the number is 9 the number to the right of that is 4. unless that number 2 digits to the right of the decimal point is 5 or over the 9 stays the same

The p- value is approxiamately 0.0001.

To calculate the test statistic, we first need to find the standard error of the difference between the two sample proportions. The formula for the standard error is   SE =  √(( p1 ×( 1- p1)/ n1)( p2 ×( 1- p2)/ n2))   Substituting the given values into the formula,

we get   SE =  √((0.25 ×( 1-0.25)/ 200)(0.13 ×( 1-0.13)/ 300)) =0.0326. The test statistic is  also calculated as the difference between the sample proportions divided by the standard error.

Test Statistic = ( p1- p2)/ SE   = (0.25-0.13)/0.0326 =3.68.

To find the p- value, we compare the test statistic to the applicable distribution. Since the indispensable  thesis is one-  tagged( p1- p2> 0), we'd use the standard normal distribution. Looking up the test statistic of3.68 in the standard normal distribution table, we find that the corresponding p- value is veritably close to 0.0001.  

This means that if the null  thesis( H0 p1- p2 ≤ 0) is true, there's a  veritably low probability(0.0001) of observing a test statistic as extreme as the one calculated from the sample data. Hence, we've strong  substantiation to reject the null  thesis in favor of the indispensable  thesis( Ha p1- p2> 0).

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The curves are intersecting at (-1.75, 2.5) and (1.75, 2)

Nonlinear functions include all functions that are not linear. The following are some instances of nonlinear functions: f(x) = x2 - 2x + 2, ln (x), ex, etc.

In the above question, a graphical representation of non-linear system of equations is given

We need to find the solution of this non-linear system of equations based on the graphical representation

We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations

We can clearly see that, the curves are intersecting at

(-1.75, 2.5) and (1.75, 2)

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Answer:

x=6

Step-by-step explanation:

4.3 + 3.2x = 23.5​

-4.3 on both sides

3.2x=19.2

divided by 3.2

x=6

Step-by-step explanation:

0.00065

Hope it helps....

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

9 + 5 + 6 = 20 (how many cards there are altogether)

9 yellow + 6 blue = 15 (how many cards are either yellow or blue)

so:

[tex]\frac{15}{20}[/tex]

simplified:

[tex]\frac{3}{4}[/tex]

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

There are 20 total cards ( 9 + 5 + 6). 15 of them are yellow or blue(9 + 6). So, the fraction is [tex]\frac{15}{20}[/tex].  [tex]\frac{15}{20}[/tex] simplifies to [tex]\frac{3}{4}[/tex].

Answer:

D

Step-by-step explanation:

Step 1(Base step) − It proves that a statement is true for the initial value.

Step 2(Inductive step) − It proves that if the statement is true for n=k, then it is also true for n=k+1.

Answer:

5/8

Step-by-step explanation:

if 1/8 is used for one batch . for five batch=1/8*5=5/8

Answer:

The answer for the question is 666

Step-by-step explanation:

328+338=666

Answer:

666

Step-by-step explanation:

328+338=666

i ate ur friends 666 times

A standard deviation of 23.16.

In a recent election, where 65% of people supported reelecting the incumbent, a poll was conducted with a sample size of 1390 people.

To approximate the binomial distribution with a normal distribution, we can calculate the mean and standard deviation.

The mean is determined by multiplying the sample size (1390) by the proportion of support (0.65), resulting in a mean of 898.5.

The standard deviation is calculated by taking the square root of the product of the proportion of support (0.65) with the proportion of opposition (0.35), divided by the sample size, and then multiplied by the square root of the sample size.

This yields a standard deviation of approximately 23.16.

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Answer:

15 times 2 = 30

diameter = 30

Step-by-step explanation:

The length of the arc intercepted by a central angle of 140° on a circle with a radius of 14 inches is approximately 34.1557 inches.

To find the length of the arc intercepted by a central angle on a circle, we can use the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, the radius of the circle is 14 inches, and the central angle is 140°.

First, we need to calculate the circumference of the circle:

Circumference = 2 * π * radius

Circumference = 2 * π * 14 inches

Now, we can calculate the length of the arc:

Arc Length = (140° / 360°) * Circumference

Arc Length = (140/360) * (2 * π * 14 inches)

Arc Length ≈ (0.3889) * (2 * 3.1416 * 14 inches)

Arc Length ≈ 0.3889 * 87.9648 inches

Arc Length ≈ 34.1557 inches

Therefore, the length of the arc intercepted by a central angle of 140° on a circle with a radius of 14 inches is approximately 34.1557 inches.

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The interpretation of the p-value itself does not provide certainty about the truth or falsehood of the claim being tested.

Instead, it helps assess the strength of the evidence against the null hypothesis the assumption that the proportion is not greater than 0.60.

Based on the provided information and the obtained p-value of 0.0367, there are a few conclusions draw for certain,

The researcher conducted a survey among 541 adult residents of the state regarding their opinion on raising taxes for road repairs.

In the sample, 345 residents out of the 541 agreed that taxes should be raised for road repairs.

The researcher tested a claim or hypothesis that the proportion of adults favoring raising taxes is greater than 0.60 (60%).

The p-value of 0.0367 was obtained as a result of the statistical test.

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Answer: it C trust me it right & can you please mark me Brainliest

Step-by-step explanation: Hope this help :D

☁️ Answer ☁️

C, x < 4.

2/x −3< − 1

Multiply both sides of the equation by 2.

x−6< −2 (negative 2)

Add 6 to both sides.

x < (negative 2) −2 + 6

Add −2 and 6 to get 4.

x < 4

Hope it helps.

Have a nice day noona/hyung.

The correlation coefficient indicates the weakest relationship between two variables is 0.03. Therefore, the correct answer is option D.

The correlation coefficient is a measure of the strength of the linear relationship between two variables.

A correlation coefficient of 0.0 indicates no correlation—there is no linear relationship between the two variables.

A value of 0.03 indicates a very weak correlation, the weakest of the given options. Values closer to 1 or -1 indicate a stronger correlation.

Therefore, the correct answer is option D.

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"Your question is incomplete, probably the complete question/missing part is:"

Which of the following values of the correlation coefficient indicates the weakest relationship between two variables?

A) 0.42

B) -0.3

C) -0.87

D) 0.03

Step-by-step explanation:

1cantimeter=10mm

14mm=1.4cm

Area of circle pi r²=pi*1.4²=1.96pi

P(4, 2, 6) is on the given surface, but Q(5, 1, -11) is not. The correct answer is that P is on the surface, but Q is not

To determine whether the points P(4, 2, 6) and Q(5, 1, -11) lie on the given surface, we need to check if their coordinates satisfy the equation r(u, v) = <u + v, u^2 - v, u + v^2>.

For P(4, 2, 6):

Plugging in the coordinates of P into the equation, we have:

r(4, 2) = <4 + 2, 4^2 - 2, 4 + 2^2> = <6, 14, 8>.

The coordinates of P(4, 2, 6) match the coordinates obtained from the equation, so P lies on the surface.

For Q(5, 1, -11):

Plugging in the coordinates of Q into the equation, we have:

r(5, 1) = <5 + 1, 5^2 - 1, 5 + 1^2> = <6, 24, 6>.

The coordinates of Q(5, 1, -11) do not match the coordinates obtained from the equation, so Q does not lie on the surface.

Therefore, the correct answer is that P is on the surface, but Q is not. The given coordinates for P(4, 2, 6) satisfy the equation, while the coordinates for Q(5, 1, -11) do not match the equation, indicating that Q does not lie on the given surface.

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Answer: 8 to 12 years

Step-by-step explanation: A cluster is formed when several data points lie in a small interval. The domain of the cluster is the set of x-coordinates.

The range of the cluster in the scatter plot is between $40,000 and $60,000 when the data points are heavily clustered between the years 8 to 12.

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

Given that, on scatter plot

Years of experience is represented at x-axis

Annual Salary is represented at y-axis

From the scatter plot, it is clear that from the x-axis the data points are tightly clustered between the years 8 to 12. As major portion of the data points lie between 8 to 12 years.

Similarly, from the y-axis the data points are tightly clustered between between $40,000 and $60,000. As major portion of the data points lie between $40,000 and $60,000.

When the certain data points in a scatter plot make distinct groups, these groups are considered as clusters. Those data points normally appear to be converged around a particular value.

Therefore, the range of the cluster in the scatter plot is between $40,000 and $60,000 for the data points between the years 8 to 12.

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Answer:

3418148194765097900

Step-by-step explanation:

Just multiplied

have a great day!

Answer:

First, multiply the radius by 2 to get the diameter 18 inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of about 56.52 inches. If the diameter doubles the circumference doubles.

Step-by-step explanation:

18π = 56.52

36π = 113.04

56.52*2 = 113.04

Shelly bought three pairs of jeans and sweaters.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Shelly is given $300 to spend on jeans and sweaters.

Each pair of pants is $65, each sweater is $34, and she purchases seven pieces.

As per the given question, the required solution would be as:

She could buy three pairs of jeans and three sweaters since any more would be insufficient because three pairs of jeans and three sweaters would equal $297.

65 x 3 = 195

34 x 3 = 102

Therefore, Shelly bought three pairs of jeans and sweaters.

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Answer:

58

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

90-32=58

Answer:

the answer is 50

Answer:

50

Step-by-step explanation:

BODMAS/BIDMAS

48 - 5 + 7 x [tex]3^{2}[/tex] ÷ (7-10)²

= 48 - 5 + 7 x [tex]3^{2}[/tex] ÷ (-3)²

= 48 - 5 + 7 x [tex]3^{2}[/tex] ÷ 9

= 48 - 5 + 7 x 9 ÷ 9

= 48 - 5 + 63 ÷ 9

= 48 - 5 + 7

= 43 + 7

= 50