Which expression is not a polynomial?
A. 4-3x+ 5x6
B. x²-x-12
X+3
C. 5x2 + 4x+1
D. 8x¹0+2x+5

Answers

Answer 1

Option b) \(x^{2} -x-\sqrt{x} +3\) is not a polynomial

What is a polynomial equation?

Polynomial equation is equation of dependent variables which is related to the independent variable.


since, the equation ,\(x^{2} -x-\sqrt{x} +3\) contains the square root of variable that's why its not a polynomial.

Thus, Option b) \(x^{2} -x-\sqrt{x} +3\) is not a polynomial

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Related Questions

what is 5x = 35? what the answer

Answers

Answer: X = 7

Step-by-step explanation: 5x=35

5x = 35

5       5

x=7

The average height of the five players on the basketball team was 77 inches. One of the players was 71 inches tall. Another was 74 inches tall, and two were each 78 inches tall. How tall was the tallest player on the team?
How to solve this question

Answers

Answer:

The tallest player on the team was 78 inches tall

Step-by-step explanation:

Solve the system by substitution.
y =
-4x
y = x - 5

Answers

Answer:

x=-1

Step-by-step explanation:

thanks I'm done pls

Answer: 1,-4

Step-by-step explanation: I noticed there are no steps for this one so I will go ahead and put them.

-4x+x=x-5+-x

combine:

-5x/5=-5/-5

x=1

Substitute:

y=-4x(1)

y=-4

so we get 1,-4

What is the gradient?

What is the gradient?

Answers

Answer:

The gradient of the parallel line is -2.

Step-by-step explanation:

Parallel lines have the same gradient.

We find the gradient of the given line by solving the equation for y.

2x + y = 4

Subtract 2x from both sides.

y = -2x + 4

The equation is now written in the y = mx + b, where m is the gradient.

The gradient of the given line is -2.

The gradient of the parallel line is -2.

Answer: 2
The gradient is 2

1.1 Given the linear pattern: 5 ; -2 ; -9 ..... -289

1.1.1 Write down the constant first Difference ​

Answers

Answer:

- 7

Step-by-step explanation:

d = a₂ - a₁ = a₃ - a₂ = - 2 - 5 = - 9 - (- 2) = - 7

brainliest and 100 points! i really appreciate the help, and please let me know if you need help on anything, thanks!!

brainliest and 100 points! i really appreciate the help, and please let me know if you need help on anything,

Answers

Please give me brainliest!

- The area of AQGI equals the area of ABRN.
- OLLQG and LNBR are congruent triangles.
- QsBR is a right triangle.

Keelie has a triangular-shaped card. The lengths of its sides are 2.8 cm, 3.5 cm, and 4.2 cm. Is the card a right triangle? (select), the card (select) ▼ a right triangle.​

Answers

Answer:

if it says select we cannot give you an answer

Step-by-step explanation:

A professor had a volunteer consume 50 milligrams of caffeine on morning.

A professor had a volunteer consume 50 milligrams of caffeine on morning.

Answers

The residuals to the nearest tenth are 0.6, -0.7, 0.1, 0.8, and -0.4.

A scatter plot of the residuals is shown in the image below.

What is a residual value?

In Mathematics, a residual value is a difference between the measured (given, actual, or observed) value from a scatter plot and the predicted value from a scatter plot.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

Residual value = 16 - 15.4

Residual value = 0.6

Residual value = actual value - predicted value

Residual value = 16 - 16.7

Residual value = -0.7

Residual value = actual value - predicted value

Residual value = 18 - 17.9

Residual value = 0.1

Residual value = actual value - predicted value

Residual value = 20 - 19.2

Residual value = 0.8

Residual value = actual value - predicted value

Residual value = 20 - 20.4

Residual value = -0.4

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A professor had a volunteer consume 50 milligrams of caffeine on morning.

Inequality for A number n minus 3 is at least –5.

Answers

Answer:

n-3 ≥ -5

Step-by-step explanation:

Inequality for A number n minus 3 is at least –5.

Inequality : n-3 ≥ -5

number n minus 3 ⇒ n-3

is at least –5 ⇒ -5 or more

*

a ≥ b, a is at least b

a = b, a is the same as b

a ≤ b, a is at most b

what are the multiples of 3

Answers

3,6,9,12 and so on yeahhhh

Answer:

3,6,9,12,etc

Step-by-step explanation:

In math, a multiple is the product of any quantity and an integer. In other words, for the quantities a and b, we say that b is a multiple of a if b = na for some integer n, which is called the multiplier. If a is not zero, this is equivalent to saying that b/a is an integer. 

Que números se obtiene si a cada uno de los números de abajo sumas 0. 09 y restas 0. 9

Answers

The new number obtained if you add 0.09 and subtract 0.9 from each given number is 4.69, 5.89, 7.39, and 8.49 respectively. This is a simple arithmetic operation that involves the addition and subtraction of decimals.

To obtain the new numbers, we can use the following operations for each number:

Add 0.09Subtract 0.9

5.5:  5.5 + 0.09 - 0.9 = 4.69

6.7:  6.7 + 0.09 - 0.9 = 5.89

8.2:  8.2 + 0.09 - 0.9 = 7.39

9.3:  9.3 + 0.09 - 0.9 = 8.49

The given operation of adding 0.09 and subtracting 0.9 is applied to each number individually. This is a simple arithmetic operation that involves the addition and subtraction of decimals.

We can repeat this process for all the numbers given, and we will obtain new numbers that are 0.09 more than the original numbers, and then 0.9 less than the result of the first operation.

It is important to note that this process does not change the relative order of the numbers, so if one number is greater than another before the operation, it will still be greater after the operation.

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Complete Question:

What numbers are obtained if you add 0.09 and subtract 0.9 from each of the numbers below?

5.56.78.29.3

is the square root of 23 rational or irrational

Answers

It is irrational because it’s not terminating (please hit “thanks”
It’s irrational because it is not terminating and is a prime number………………. :)

What is the equation of the line that passes through the point (5,-9) and has a slope of
m written in point-slope form?

What is the equation of the line that passes through the point (5,-9) and has a slope ofm written in

Answers

Answer:

y=-2/3(x-5)-9

sorry for bad handwriting and forget - with slope

What is the equation of the line that passes through the point (5,-9) and has a slope ofm written in

what is 1/5 +2/4?the simplest form​

Answers

Answer:

7 /10  0.7

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Answer:

7/10

Step-by-step explanation:

First, find the smallest possible denominator between the two fractions. The smallest one is 20.

Now, both denominators need to become 20. To get the 5 in 1/5 to become 20, it needs to be multiplied by 4. Whatever you do to the denominator, you must do to the numerator.

1 x 4 = 4

The first fraction is now 4/20.

To get the 4 in 2/4 to become 20, you must multiply it by 5. Whatever you do to the denominator, you must do to the numerator.

2 x 5 = 10

The second fraction is now 10/20.

Add the fractions. Keep the denominators the same and add the numerators.

4/20 + 10/20 = 14/20

Simplify by dividing both numbers by 2

7/10

Select the correct answer.
The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x − 3).

Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g vertically shifted up 3 units.
B.
The graph of h is the graph of g horizontally shifted right 3 units.
C.
The graph of h is the graph of g horizontally shifted left 3 units.
D.
The graph of h is the graph of g vertically shifted down 3 units.

Answers

Answer:

B

Step-by-step explanation:

Given g(x) then g(x + a) is a horizontal translation of g(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

h(x) = g(x - 3) = (x - 3)² with a < 0

The graph of h(x) is the graph of g(x) horizontally shifted right 3 units

-2 es menor que 5. ​

Answers

Answer:

Es mayor

Step-by-step explanation:

Si te sirvio la respuesta por favor dame coronita y sigueme༼ つ ◕_◕ ༽つ

There is 36-year annual return data on an asset. The average annual return is said to be 10%. The volatility of this asset was estimated at 27% for the same period.The rate of return for each year is a probability variable that is determined independently of the rate of return for another year and according to the same distribution.When a 95% confidence interval is obtained for the expected annual return on this asset, what if the lower limit is calculated? (Please answer in % units.)2.propertymarket capitalizationCovariance between Portfolio Returns and their Asset ReturnsA40,0000.15B20,000-0.10C10,0000.20D30,000-0.05Please answer in % to the first decimal place.For example, if the calculated value is 31.45%, you can write 31.5.3.Let's say there are two stocks, A and B.1. The annual expected returns of shares A and B are 10% and 15%, respectively.2. The volatility of the annual returns of A and B shares is 18% and 20%, respectively.3. The correlation coefficient for the return on the two assets is 0.25.4. An expected return on a portfolio of X and Y was 12%.Given the volatility of the portfolio we're talking about in 4?Mark up to the second decimal place in % units.4.I'm going to invest in two of the following four portfolios.What is the final portfolio configured to include all the assets in the inefficient portfolio?PortfolioExpected rate of returnVolatilityA3%10%B5%10%C5%15%D7%20%ABCA5.Suppose the following information is known about a portfolio of two assets, a risk-free asset and a risk asset X.1. The Sharpe Ratio of this portfolio is 0.3667.2. The annual risk-free rate of return is 4%.3. If this portfolio had invested 50% in risk-free returns and 50% in risk-free assets, the expected return would have been 9.5%.Now, let's say that this portfolio is actually composed of 20% investment in risk-free assets and 80% investment in risk-free assets X. Calculating the volatility of the return on this portfolio (20%, 80%)?Mark the variability in % and up to the second decimal place.(Please write the steps for each topic. Thank you very much.)

Answers

Answer:

The volatility of the portfolio (20% risk-free asset, 80% risk asset X) is 15%.

Step-by-step explanation:

Calculation of Lower Limit of Expected Annual Return Confidence Interval:

To calculate the lower limit of the 95% confidence interval for the expected annual return, we need to subtract the margin of error from the average annual return.

Margin of Error = Z * (Volatility / sqrt(n))

where Z is the z-score for a 95% confidence level (for a large sample size, it is approximately 1.96), Volatility is the standard deviation of returns, and n is the number of observations.

Lower Limit = Average Annual Return - Margin of Error

Lower Limit = 10% - (1.96 * 27% / sqrt(36))

Calculating the expression inside the square root:

sqrt(36) = 6

Lower Limit = 10% - (1.96 * 27% / 6)

Calculating the result:

Lower Limit ≈ 7.44%

Therefore, the lower limit of the 95% confidence interval for the expected annual return is approximately 7.44%.

Calculation of Volatility of the Portfolio:

To calculate the volatility of the portfolio, we can use the following formula:

Portfolio Volatility = sqrt[(Weight_A^2 * Volatility_A^2) + (Weight_B^2 * Volatility_B^2) + (2 * Weight_A * Weight_B * Correlation_A_B * Volatility_A * Volatility)]

where Weight_A and Weight_B are the respective weights of assets A and B in the portfolio, Volatility A and Volatility_B are the volatilities of assets A and B, and Correlation_A_B is the correlation coefficient between the returns of assets A and B.

Given:

Weight_A = Weight_B = 0.5 (equal weights)

Volatility A = 18%

Volatility = 20%

Correlation = 0.25

Portfolio Volatility = sqrt[(0.5^2 * 0.18^2) + (0.5^2 * 0.20^2) + (2 * 0.5 * 0.5 * 0.25 * 0.18 * 0.20)]

Calculating the result:

Portfolio Volatility ≈ 0.1467 or 14.67%

Therefore, the volatility of the portfolio is approximately 14.67%.

Configuration of Inefficient Portfolio:

To determine the final portfolio that includes all the assets in the inefficient portfolio, we need to select the portfolio with the highest expected rate of return. Among the given portfolios, Portfolio D has the highest expected rate of return (7%). Therefore, the final portfolio will include all the assets from Portfolio D.

Final Portfolio Configuration:

Weight_A = 0.3 (from Portfolio A)

Weight_B = 0.2 (from Portfolio B)

Weight_C = 0.1 (from Portfolio C)

Weight_D = 0.4 (from Portfolio D)

Calculation of Volatility of the Portfolio (20% risk-free asset, 80% risk asset X):

To calculate the volatility of the portfolio, we can use the following formula:

Portfolio Volatility = sqrt[(Weight_Risk-Free^2 * Volatility_Risk-Free^2) + (Weight_Risk-Asset^2 * Volatility_Risk-Asset^2) + (2 * Weight_Risk-Free * Weight_Risk-Asset * Correlation_Risk-Free Risk-Asset * Volatility_Risk-Free * Volatility_Risk-Asset)]

where Weight_Risk-Free and Weight Risk-Asset are the respective weights of the risk-free asset and the risk asset in the portfolio, Volatility_Risk-Free and Volatility_Risk-Asset are the volatilities of the risk-free asset and the risk asset, and Correlation_Risk-Free_Risk-Asset is the correlation coefficient between the returns of the risk-free asset and the risk asset.

Given:

Weight_Risk-Free = 0.2

Weight_Risk-Asset = 0.8

Volatility_Risk-Free = 0% (risk-free asset has no volatility)

Volatility_Risk-Asset = X (to be calculated)

We are given that the expected return of the portfolio is 9.5% when the weights are 50% risk-free and 50% risk asset X. Using this information, we can set up an equation to solve for Volatility_Risk-Asset:

0.5 * 4% + 0.5 * X = 9.5%

Simplifying the equation:

2% + 0.5X = 9.5%

0.5X = 9.5% - 2%

0.5X = 7.5%

X = 7.5% / 0.5

X = 15%

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Please answer both parts

Please answer both parts
Please answer both parts

Answers

the area will be fall in between 100≤ 20x ≤1000.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral,A quadrilateral should be closed shape with 4 sides

All the internal angles of a quadrilateral sum up to 360°.

The area of a rectangle is A = a*b

Here in the figure the length is given 4x and the breadth is 5.

The area is given in between 100≤A≤1000

So this area will be A = 5x*4 = 20x

Now the area will be lie in between 100≤ 20x ≤1000

hence, the area will be fall in between 100≤ 20x ≤1000.

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Write an equation for the line parallel to the given line that contains the given point.


Line: 8y=6x+5 Point: (-8,-10)

Please answer quick!!

Answers

The linear equation parallel to 8y=6x+5  is:

y = (3/4)*x - 4

How to find the equation of the parallel line?

Remember that two linear equations are parallel if and only if both lines have the same slope and different y-intercept.

Here we want to find a line parallel to:

8y = 6x + 5

Rewriting this in slope-intercept form we get:

y = (6x + 5)/8

y = (3/4)*x + 5/8

Then a parallel line to this one will be:

y = (3/4)*x + b

To find the value of b, we use the fact that this line must pass through the point (-8, -10).

-10 = (3/4)*(-8) + b

-10 = -6 + b

-10 + 6 = b

-4 = b

Then the linear equation is:

y = (3/4)*x - 4

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How much money will it cost you to drive a diesel tractor trailer truck 175.0 miles if it gets 8.500 miles per gallon and diesel fuel costs $3.599/gallon

Answers

To calculate the cost of driving a diesel tractor trailer truck for 175.0 miles, we need to determine the number of gallons of fuel required and then multiply it by the cost per gallon.

Calculate the number of gallons of fuel needed. Given that the truck gets 8.500 miles per gallon, we divide the total distance (175.0 miles) by the fuel efficiency: 175.0 miles / 8.500 miles per gallon

= 20.59 gallons (approximately)

Calculate the cost of the fuel.Since diesel fuel costs $3.599 per gallon, we multiply the number of gallons needed by the cost per gallon: 20.59 gallons x $3.599/gallon = $73.89 (approximately) Therefore, it will cost you approximately $73.89 to drive the diesel tractor trailer truck for 175.0 miles, assuming it gets 8.500 miles per gallon and diesel fuel costs $3.599 per gallon.

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What are the roots of 3x^2+10=4x

Answers

2sqrt3/3, -2sqrt3/3
hope this helps

In triangle TRS, TZ = (3x) inches and WZ = (2x - 3) inches. Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U. [Figure may not be drawn to scale] What is WZ? 6 inches 9 inches 18 inches 27 inches

Answers

Answer:

it is 9

Step-by-step explanation:

The value of WZ will be equal to WZ= 9 inches so the correct option is B.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

We have: U is the midpoint of TR, V is the midpoint of TS and W is the midpoint of SR

This means that.Z is the centroid of the given triangle centroid point divides any median in the triangle in the ratio of 2:1 from the vertex

This means that:

TZ = 2ZW

3x = 2(2x-3)

3x = 4x - 6

x = 6

Now, we get WZ as follows:

WZ = 2x - 3 and x = 6

WZ = 2(6) - 3

WZ = 12 - 3

WZ = 9 in

Therefore the value of WZ will be equal to WZ= 9 inches so the correct option is B.

The complete image of the triangle is attached with the answer below.

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In triangle TRS, TZ = (3x) inches and WZ = (2x - 3) inches. Triangle T R S has centroid Z. Lines are

The difference of two natural number is 2. The sum of their squares is 100.Find the numbers.

Answers

The required two numbers are 6 and 8.

Let us denote the required numbers by c and d.

Given that the difference between two natural numbers is 2.

If we assume d > c, then d – c = 2

⇒ d = 2 + c → equation 1.

Also given that the sum of their squares is 100.

⇒ c² + d² = 100

⇒ c² + (2 + c)² = 100 (using the value of d from equation 1)

⇒ 2c² + 4c + 4 = 100

⇒ 2c² + 4c = 96

⇒ 2c(c+2) = 96

⇒ c(c+2) = 48

Using the factorization for 48, we get 6 × 8 = 48

⇒ c = 6

⇒ c+2 = 8

⇒ d = 8

Therefore, the required two numbers are 6 and 8.

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Cameron’s friends tells him of another service that has a 15$ joining fee but charges $0.80 per song. At what number of songs does this new service become a less expensive option than Cameron’s current service

Camerons friends tells him of another service that has a 15$ joining fee but charges $0.80 per song.

Answers

Based on Cameron's current music service fees, the number of songs that would make the new service a less expensive option is 101 songs

What number makes the service less expensive?

The expression for the new service assuming the number of songs is x is:

= 15 + 0.80x

The expression for Cameron's current service is:
= 0.95x

Equating them gives:

0.95x = 15 + 0.8x

0.95x - 0.8x = 15

0.15x = 15

x = 100 songs

The cost will be the same at 100 songs so the new service would be cheaper at 101 songs.

First part of question:

Cameron pays $0.95 per song with his current music service.

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Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=xy; 6x y=10

Answers

There is a maximum value of 7/6 located at (x, y) = (5/6, 7).

The function given to us is f(x, y) = xy.

The constraint given to us is 6x + y = 10.

Rearranging the constraint, we get:

6x + y = 10,

or, y = 10 - 6x.

Substituting this in the function, we get:

f(x, y) = xy,

or, f(x) = x(10 - 6x) = 10x - 6x².

To find the extremum, we differentiate this, with respect to x, and equate that to 0.

f'(x) = 10 - 12x ... (i)

Equating to 0, we get:

10 - 12x = 0,

or, 12x = 10,

or, x = 5/6.

Differentiating (i), with respect to x again, we get:

f''(x) = -12, which is less than 0, showing f(x) is maximum at x = 5/6.

The value of y, when x = 5/6 is,

y = 12 - 6x,

or, y = 12 - 6*(5/6) = 7.

The value of f(x, y) when (x, y) = (5/6, 7) is,

f(x, y) = xy,

or, f(x, y) = (5/6)*7 = 7/6.

Thus, there is a maximum value of 7/6 located at (x, y) = (5/6, 7).

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consider all bit strings of length 12 How many have exactly four 1s? A. 4! B. C(12, 4) C. P(12, 4) D. 4*28 E. 28

Answers

The number of bit strings of length 12 that have exactly four 1s can be determined using the combination formula C(12, 4), which represents the number of ways to choose four elements out of twelve. Therefore, the answer is option b.

To find the number of bit strings with exactly four 1s, we need to select the positions for these four 1s from the total of twelve positions. The combination formula C(n, k) represents the number of ways to choose k elements from a set of n elements without regard to their order. In this case, we have twelve positions and need to choose four of them to place the 1s, so we can calculate C(12, 4).

Using the formula for combinations, C(n, k) = n! / (k! * (n-k)!), we can calculate C(12, 4) as follows:

C(12, 4) = 12! / (4! * (12-4)!) = 12! / (4! * 8!) = (12 * 11 * 10 * 9) / (4 * 3 * 2 * 1) = 495.

Therefore, there are 495 different bit strings of length 12 that have exactly four 1s, and the correct answer is option B, C(12, 4).

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11. Which statement is true about the characteristics of the three lines in
the graph?"
They have the same equation
They have the same slope
They have the same x-intercept
O They have the same y-intercept

11. Which statement is true about the characteristics of the three lines inthe graph?"They have the same

Answers

They have the same slope. All three lines are parallel. Any parallel lines have equal slopes.

My entire life I have noted the sun rises every morning and sets every evening. I am concluding that the sun will rise tomorrow morning and set tomorrow evening. Make an argument as to why this can be inductive or deductive reasoning and include details that indicate your knowledge of the topic.

Answers

The argument that the sun will rise tomorrow morning and set tomorrow evening is based on inductive reasoning, using past observations of consistent sunrise and sunset patterns to predict future occurrences.

1. The observation: Throughout your entire life, you have consistently noticed that the sun rises every morning and sets every evening. This is an observation based on personal experience.

2. Inductive reasoning: Based on this observation, you make an inference or prediction about the future. You reason that since the sun has always risen in the morning and set in the evening in the past, it is likely to continue doing so in the future.

3. Pattern and consistency: The assumption is that natural phenomena, such as the rising and setting of the sun, follow a pattern or regularity. This assumption is based on the principle of uniformity of nature, which suggests that the future will resemble the past in terms of natural occurrences.

4. The limitations of inductive reasoning: While inductive reasoning provides a useful way to make predictions based on past observations, it is not foolproof. There is always a small possibility that something unexpected could happen, such as a rare astronomical event or an external factor that alters the pattern. However, based on the available evidence and the consistency of the observed pattern, the prediction that the sun will rise tomorrow morning and set tomorrow evening is highly probable.

In summary, the argument relies on inductive reasoning, using the past consistent observation of the sun's rising and setting to predict that it will continue to do so in the future. While this reasoning is not infallible, it is a reasonable and practical way to make predictions based on observed patterns in nature.

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You are buying a new camera. The table shows the prices of cameras in a store advertisement. You are willing to pay the mean price with an absolute deviation of at most $102.

Your friend helped you with a list of steps to follow so you’ll find how many of the camera prices meet your condition?

Answers

8 cameras from the list meet the conditions of camera price.

Given,

The table shows the price of cameras;

890, 750, 650, 370, 660, 670, 450, 650, 725, 825

The absolute deviation of at most = $102

We have to find the number of cameras that meets the conditions

Mean of the data set ;

Mean = sum of datas / number of datas

Mean = (890 + 750  + 650 +  370 + 660 + 670 + 450 + 650 + 725 + 825) / 10

Mean = 6640/10

Mean = 664

Mean - Absolute deviation;

664 + 102 = 764

So, You are ready to pay for a maximum of 764 for the camera.

Then the price of cameras meets the condition;

750, 650, 370, 660, 670, 450, 650, 725

That is,

8 cameras from the list meet the conditions of camera price.

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Without computing the sums, find the difference between the right- and left-hand Riemann sums if we use n=500 subintervals to approximate 1∫-1 (2x^3+4)dx

Answers

The difference between the right-hand Riemann sum and the left-hand Riemann sum is:Difference = S_R - S_L

The Riemann sum is a numerical approximation method that uses a series of rectangles to estimate the area under a curve. A function's Riemann sum is an estimation of its integral, which can be used to approximate the function's area.The difference between the right- and left-hand Riemann sums can be calculated without computing the sums. For a positive function, the right-hand Riemann sum will always be greater than the left-hand Riemann sum, resulting in a positive difference. The opposite is true for a negative function, with the left-hand Riemann sum being greater than the right-hand Riemann sum, resulting in a negative difference.The function (2x^3+4)dx has only positive terms, implying that the left-hand Riemann sum will be smaller than the right-hand Riemann sum. Since the function is continuous on the interval [-1, 1], both the left- and right-hand Riemann sums can be computed using the midpoint approximation. For a right-hand Riemann sum, the heights of the rectangles are evaluated at the right endpoint of each interval, while for a left-hand Riemann sum, the heights of the rectangles are evaluated at the left endpoint of each interval.In this situation, the width of each rectangle is Δx = (1 - (-1))/500 = 0.004. Furthermore, the height of each rectangle can be evaluated at its respective endpoint as follows:For the right-hand Riemann sum:Height = f(xi+1) = f(-1 + (i+1)Δx), for i = 0, 1, 2, ... , 499For the left-hand Riemann sum:Height = f(xi) = f(-1 + iΔx), for i = 0, 1, 2, ... , 499Since the function (2x^3+4)dx is even, the left-hand Riemann sum and the right-hand Riemann sum are symmetrically equivalent. The difference between the two sums can be calculated by subtracting the left-hand Riemann sum from the right-hand Riemann sum. The summations are as follows:Right-hand Riemann sum: S_R = ∑f(xi+1)Δx, from i=0 to 499Left-hand Riemann sum: S_L = ∑f(xi)Δx, from i=0 to 499Therefore, the difference between the right-hand Riemann sum and the left-hand Riemann sum is:Difference = S_R - S_L

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