The length of the picture is mixed number six and three fourths inches. There should be a length of fraction one half inch of wood on either side of the picture. What is the total length of wood required? a 7 inches b the mixed number seven and three fourths inches c 8 inches d the mixed number eight and one half inches

The value of the given integral is 0. To evaluate the given integral using symmetry, we can rewrite it as follows:

∫[a, b] (5 + x + x² + x) dx

where [a, b] represents the interval over which we are integrating.

Since we are given that the interval is from -4 to 4, we can use the symmetry of the integrand to split the integral into two parts:

∫[-4, 4] (5 + x + x² + x) dx = ∫[-4, 0] (5 + x + x² + x) dx + ∫[0, 4] (5 + x + x² + x) dx

Now, observe that the integrand is an odd function (5 + x + x² + x) because it only contains odd powers of x and the coefficient of x is 1, which is an odd number.

An odd function is symmetric about the origin.

Therefore, the integral of an odd function over a symmetric interval is 0. Hence, we have:

∫[-4, 0] (5 + x + x² + x) dx = 0

∫[0, 4] (5 + x + x² + x) dx = 0

Combining both results:

∫[-4, 4] (5 + x + x² + x) dx = 0 + 0 = 0

Therefore, the value of the integral is 0.

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Answer:

7 26/15

Step-by-step explanation:

all you have to do is add 15 to the 11.

Answer:

I believe it is figure 1

Answer:

Definitely Figure 1

Step-by-step explanation:

Rise of the line over Run of the line (our slope) equals 1 here.  x = y

Answer:

Explained below

Step-by-step explanation:

The X-Intercepts of a parabola is when the quadratic is set equal to 0. This makes y equal to 0 which is the definition of a root. anything 0,inf is on the x-axis and is an intercept.

Answer:

a

Step-by-step explanation:

Check the picture below.

Answer:

Step-by-step explanation:

You need an image for problem to be solved, please repost it with a image, so it can be solved

Answer:

See below.

Step-by-step explanation:

a. 2(h + 1) = 6

2(h + 1) = 6

2h + 2 = 6

2h = 4

h = 2

Check:  Does 2(h + 1) = 6 when h = 2?  

2(2 + 1) = 6?

2(3) = 6?

6 = 6  YES

b. 9(j + 5) = 8j – 5

9(j + 5) = 8j – 5

9j + 45 = 8j - 5

j = -50

Check:  Does 9(j + 5) = 8j – 5 when j = -50?

9(j + 5) = 8j – 5

9(-50 + 5) = 8(-50) – 5  ?

9(-50 + 5) = 8(-50) – 5  ?

-450 + 45 = -400 - 5 ?

-405 = -405  YES

c. 2(k – 3) = 4(k – 6)

2(k – 3) = 4(k – 6)

2k – 6 = 4k – 24

-2k = - 18

k = 9

Check:  Does 2(k – 3) = 4(k – 6) when k = 9?

2(9 – 3) = 4(9 – 6) ?

18 – 6 = 36 –24    ?

12 = 12  YES

The equivalent expression of 3/2(6x^2 - 2/3x) is 9x^2 - x

The expression is given as:

3/2(6x^2 - 2/3x)

Open the bracket

3/2*6x^2 - 3/2*2/3x

Evaluate the product

9x^2 - x

Hence, the equivalent expression of 3/2(6x^2 - 2/3x) is 9x^2 - x

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Answer:

To compare who saves the most of their salary each month among Amy, John, and Emily, we need to calculate the amount of salary each person saves.

Let's assume that the monthly salary of each person is 'S'. Then we can calculate the amount saved by each person as follows:

Amy:

Amount saved = 20% of S = 0.2S

Amount spent = S - 0.2S = 0.8S

John:

Amount spent = 2/5 of S = (2/5)S

Amount saved = S - (2/5)S = (3/5)S

Emily:

Let's assume that Emily saves '5x' and spends '8x' of her monthly salary.

Then, according to the question, we have:

Amount saved = 5x

Amount spent = 8x

We know that the ratio of the amount saved to the amount spent is 5:8, so we can write:

Amount saved / Amount spent = 5/8

Substituting the values of amount saved and amount spent, we get:

5x / 8x = 5/8

5x = (5/8) x 8x

5x = 5x

Therefore, the ratio of amount saved to amount spent is equal to 5:8. This means that Emily saves 5/13 of her monthly salary and spends 8/13 of her monthly salary.

So, the amount saved by each person is:

Amy: 0.2S

John: (3/5)S

Emily: 5/13 of S

Now, we need to compare these amounts to find out who saves the most.

To compare these amounts, we can write them in terms of a common denominator:

Amy: 0.2S

John: (3/5)S = (0.6)S

Emily: (5/13)S = (0.3846)S (approx.)

Therefore, we see that John saves the most of his salary each month, followed by Amy and then Emily.

Working out:

Let's assume that each person earns $1000 per month.

Amy:

Amount saved = 20% of $1000 = $200

Amount spent = $800

John:

Amount spent = 2/5 of $1000 = $400

Amount saved = $1000 - $400 = $600

Emily:

Let's assume that Emily saves $5x and spends $8x of her monthly salary.

Then, we have:

Amount saved = $5x

Amount spent = $8x

We know that the ratio of the amount saved to the amount spent is 5:8, so we can write:

$5x / $8x = 5/8

Solving for x, we get:

x = 8/13

Substituting the value of x, we get:

Amount saved = $5 x (8/13) x $1000 = $384.62 (approx.)

Amount spent = $8 x (8/13) x $1000 = $615.38 (approx.)

Therefore, we see that John saves the most of his salary each month, followed by Amy and then Emily.

Answer:

A and C

Step-by-step explanation:

Nadine and Trevor both conducted an experiment but Nadine conducted with four possible outcomes and Trevor doubled the trials, therefore, Trevor will have more experimental outcomes than Nadine because he doubled the trials. Moreover, Trevor's experimental probability is more likely closer to theoretical probability than Nadine's, therefore option 'A' and 'C' are correct.

Answer:  

Trevor has more experimental outcomes than Nadine.  

Trevor’s experimental probability is more likely closer to the theoretical probability than Nadine’s.

Step-by-step explanation:

Answer:

7.04

Step-by-step explanation:

12×8/100=0.96

8-0.96=7.04

Answer:

Below.

Step-by-step explanation:

12% = 0.12

The answer is 8 - 0.12*8

= 8 - 0.96

= 7.04.

Hello !

Answer:

\(\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Step-by-step explanation:

To find the volume of a cone with the radius of its base and its height, we will apply the following formula:

\( \sf V{cone} = \dfrac{\pi \times r^2 \times h}{3} \)

Where r is the radius of its base and h is its height.

Given:

Let's substitute our values into the formula:

\(\sf V{cone} = \dfrac{\pi (10)^2(23)}{3} = \dfrac{2300\pi}{3} \ \ \\\boxed{\sf V{cone} \approx 2408.55 m^3}\)

Have a nice day ;)

Answer:

2x + 12

Step-by-step explanation:

6x + 36 / 3 =

(6x)/3 + (36)/3 = 2x + 12

If my answer is incorrect, pls correct me!

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-Chetan K

The three lengths 8, 9 and 10 form a triangle.

In Euclidean geometry stating that any two triangle sides added together must be greater than or equal to the third side; represented by the symbols a + b ≥c. The basic tenet of the theorem is that a straight line connects any two places.

Given:

Sides: 8, 9, 10

As from Triangle Inequality the sum of two sides are greater than the third side of triangle.

So, 8 + 9 > 10

9 + 10 > 8

10+ 8> 9

Since the triangle inequality satisfied.

Thus, the triangle can form using sides 8, 9, 10.

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A. The units of these decision variables are in quantities (pieces).

B. Maximize Profit = 20x1 + 85x2 + 35x3

The objective function calculates the total revenue by multiplying the unit selling price of each product with its corresponding quantity (decision variable). The goal is to maximize this total profit.

a) Decision Variables:

Let's define the decision variables as follows:

x1: The number of fabric necklaces produced.

x2: The number of bags produced.

x3: The number of scarves produced.

The units of these decision variables are in quantities (pieces).

b) Objective Function:

The objective function represents the goal or objective to be optimized. In this case, the objective is to maximize the total profit generated from the sale of necklaces, bags, and scarves. The objective function can be written as follows:

Maximize Profit = 20x1 + 85x2 + 35x3

The objective function calculates the total revenue by multiplying the unit selling price of each product with its corresponding quantity (decision variable). The goal is to maximize this total profit.

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If the scale drawing of a rectangular park has a scale of 1cm = 120 m, then the actual perimeter of the park is 3960 meters

To find the actual perimeter of the park in meters, we need to first find the perimeter of the park in centimeters using the scale drawing, and then convert it to meters.

The length of the park in the scale drawing is 11.1cm, which corresponds to an actual length of:

11.1 cm x 120 m/cm = 1,332 m

The width of the park in the scale drawing is 5.4cm, which corresponds to an actual width of:

5.4 cm x 120 m/cm = 648 m

So, the actual perimeter of the park is:

2(length + width) = 2(1,332 m + 648 m) = 3,960 m

Therefore, the actual perimeter of the park is 3,960 meters.

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The given question is incomplete, the complete question is:

A scale drawing of a rectangular park has a scale of 1cm = 120 m. What is the actual perimeter of the park in meters?

136.5 percent chance.

91 percent in one hour

how much percent in 1.5 hour?

we need to find how much percentage is in 0.5 hour

91 divided by 2 = 45.5

91 + 45.5 = 136.5

Am i bad? pls tell

Research has shown that when administering a survey, respondents who are asked questions in which they have little or no knowledge are likely to respond with inaccurate or incomplete information.

This can happen due to several reasons, such as the respondents feeling embarrassed or ashamed of admitting their lack of knowledge, or simply guessing the answer to avoid appearing uninformed. Graeff's (2003) study highlights the importance of carefully designing survey questions to ensure that they are clear and easy to understand for all respondents, regardless of their level of knowledge on the topic. It is also important to provide respondents with options such as "I don't know" or "Not applicable" to encourage honest and accurate responses. Administering surveys can be a valuable tool for gathering information, but it is crucial to consider the limitations and potential biases that may arise. Conducting thorough research and using appropriate survey methods can help to ensure that the data collected is reliable and useful for making informed decisions.

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The required number of pounds in 77 kg is approximately 169.75154 pounds.

To convert kilograms to pounds, you can use the conversion factor of 2.20462. This means that for every kilogram, there are 2.20462 pounds.

So, for 77 kilograms, you would multiply

77 by 2.20462 to get the equivalent weight in pounds.

This would give you a result of 169.75154 pounds.

It's worth noting that in weight measurement, the precision of decimal places may vary based on the intended purpose and the level of accuracy required.

However, for most everyday purposes, converting 77 kilograms to approximately 170 pounds would be considered sufficient.

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Answer:

(0, 2)

Step-by-step explanation:

the answer is (0, 2)

By definition, a trinomial is an algebraic expression that has 3 terms.

In the given polynomial:

We can identify the following terms:

Then, we can say it is a trinomial.

Answer:

d: 130

I'm just helping out

There are 720 ways the first three positions of the order of finish can occur assuming no ties in a race with 10 horses.

To calculate the number of ways the first three positions can occur, we use the permutation formula:

nPr = n! / (n - r)!

where n is the total number of objects and r is the number of objects we are choosing.

In this case, we have 10 horses and we want to choose the first three positions, so we get:

10P3 = 10! / (10 - 3)! = 10! / 7! = (10 x 9 x 8) / (3 x 2 x 1) = 720

Therefore, there are 720 ways the first three positions of the order of finish can occur assuming no ties.

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Answer:

133+1728x^456

Step-by-step explanation:

Answer:

k=2

Step-by-step explanation:

\(-3k+4=-2-6k \\ \\ 3k+4=-2 \\ \\ 3k=6 \\ \\ k=2\)

The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

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If all the data points fall on the least-squares regression line in simple linear regression this is indication of overfitting. The correct answer is E. None of the above statements are true.

In simple linear regression, if all the data points fall exactly on the least-squares regression line, it means that the regression model perfectly explains the relationship between the independent variable and the dependent variable. However, this scenario is highly unlikely in practice and is often an indication of overfitting.

Here's a breakdown of each statement:

A. F-statistic = 0: The F-statistic is used to test the overall significance of the regression model. If all data points fall on the regression line, it suggests a perfect fit, and the F-statistic would be large rather than zero.

B. MS(Regression Model) = 100%: MS stands for mean square, and this statement implies that all the variation in the dependent variable can be attributed to the regression model. However, in reality, there is typically some degree of error or residual variation that cannot be explained by the model.

C. SS(Total) = 0: SS stands for sum of squares, and SS(Total) represents the total sum of squares of the dependent variable. If all data points fall on the regression line, it would imply that there is no variation in the dependent variable, which is highly unlikely.

D. SS(Regression Model) = SS(Total): SS(Regression Model) represents the sum of squares explained by the regression model. If all data points fall on the regression line, it implies that the regression model perfectly explains all the variation in the dependent variable. However, in practice, there is typically some residual variation that cannot be explained by the model.

Therefore, none of the statements mentioned are true when all the data points fall on the least-squares regression line.

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The trend projection for time period 18 is 197.6. The correct option is B

A mathematical equation used to represent the trend or pattern seen in a time series of data is called a linear trend expression, sometimes referred to as a linear trend model.

To find the trend projection for time period 18 using the given linear trend expression, we substitute t = 18 into the equation:

Yt = 129.2 + 3.8t

Y18 = 129.2 + 3.8 * 18

Y18 = 129.2 + 68.4

Y18 = 197.6

Therefore, the trend projection for time period 18 is 197.6.

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