Solve the x (4/12 = x/9)

1. To find the area between the function f(x) = x² - 7x - 4 and the x-axis over the domain [-2, 2], we can set up the integral as follows:

∫[-2,2] |f(x)| dx

Since we are interested in the area between the function and the x-axis, we take the absolute value of f(x) to ensure positive values. The integral is taken over the domain [-2, 2], representing the range of x-values for which we want to find the area.

2. In class, the wait time for counter service was examined. Unfortunately, the statement seems to be incomplete. It would be helpful if you could provide additional details or context regarding the specific information, such as the distribution of wait times or any particular question or concept related to the topic. With more information, I'll be able to provide a more relevant response.

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Answer:

b =\(\frac{20}{27}\)

Step-by-step explanation:

Easy question.

Answer:

your mother

Step-by-step explanation:

you get a father

I think but not for sure

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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The correct interpretation of the P-value in this scenario is: "There is a 5.4% chance that a sample mean of 144 grams or greater will occur by chance if the true mean weight is 140 grams."

The P-value represents the probability of obtaining a sample mean as extreme as, or more extreme than, the observed value, assuming the null hypothesis is true. In this case, the null hypothesis would state that the mean weight of the Gala apples is 140 grams.

Since the P-value (0.054) is greater than the significance level (α = 0.05), it is not statistically significant at the 0.05 level. This means that we do not have strong evidence to reject the null hypothesis. However, the P-value is relatively close to the significance level, indicating that there is a moderate probability of observing a sample mean of 144 grams or greater if the true mean weight is actually 140 grams.

Therefore, we can interpret the P-value as indicating that there is a 5.4% chance that a sample mean of 144 grams or greater will occur by chance alone if the true mean weight of Gala apples is 140 grams.

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Answer:

-42 ÷ 6 + 51 = -7 + 51 = 44

45 - (75 ÷ 5 + 25 - (-5))

= 45 - (15 + 25 + 5)

= 45 - 45 = 0

44 ÷ 0 is undefined

Answer:

answer is 69 degree

Step-by-step explanation:

a+33+78=180 degree

a+111=180

a=180-111

a=69

Answer:

2s+3l=14

s-l=2

Step-by-step explanation:

Let s represent the small candy bars and l represent the large candy bars. The system is

The best possible equation of the line of best fit would be →

y = 8.6x + 10.5.

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data

Given is a scatter plot as shown in the image.

For the given graph the correlation is positive. So, we can write the slope of the line of the best fit as positive. So, we can write the equation of the line of best fit as → y = 8.6x + 10.5.

Therefore, the best possible equation of the line of best fit would be →

y = 8.6x + 10.5.

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The sum of all edges of the regular quadrilateral Pyramid is approximately 66.68 cm.

The sum of all edges of a regular quadrilateral pyramid, we need to determine the number of edges in the pyramid and then calculate their total length.

A regular quadrilateral pyramid has a base that is a regular quadrilateral, meaning all sides of the base have the same length. Let's assume that each side of the base has a length of "a" cm.

The perimeter of the base is given as P = 30 cm, so each side of the base measures 30 cm divided by 4 (since there are four equal sides) which is 7.5 cm.

Now, let's consider the lateral face of the pyramid. A regular quadrilateral pyramid has four lateral faces, each of which is an isosceles triangle. The perimeter of a lateral face is given as 27.5 cm. Since there are three edges in each lateral face, the length of each edge is 27.5 cm divided by 3, which is approximately 9.17 cm.

Therefore, the sum of all the edges in the pyramid is calculated as follows:

Sum of edges = (4 × a) + (4 × 9.17)

Since we know that each side of the base (a) is 7.5 cm, we can substitute this value into the equation:

Sum of edges = (4 × 7.5) + (4 × 9.17)

            = 30 + 36.68

            = 66.68 cm

Hence, the sum of all edges of the regular quadrilateral pyramid is approximately 66.68 cm.

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Answer:

David=$8.8

Jo=$13.2

Mary=$22

Step-by-step explanation:

2+3+5=10

44/10=4.4

David=4.4x2=$8.8

Jo=4.4x3=$13.2

Mary=4.4x5=$22

8.8+13.2+22=44

First you will get 4dz

Each model should be produced on a weekly basis to maximize net profit is $75,900.

What is Net profit?

In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.

As given,

Number of products sold:

T ≥ 1.5G

Maximize Profit Z = 150T + 130G

Labor Constraint:

Labor hours Available:

Production Department:

Number of labor hours available per day = 58 × 7 = 406

Number of days in a week = 5

Number of lobor ours available per week = 406 × 5 = 2030

Assembly Department:

Number of labor hours available per day = 25 × 7 = 175

Number of days in a week = 5

Number of labor hours available per week = 175 × 5 = 875.

Labor hours Required:

Labor hours required for G1 model:

Labor hours required at Production department = 3.5G

Labor hours required at assembly department = 2G

Labor hours required for T1 model:

Labor hours required at Production department = 4T

Labor hours required at Assembly department = 1.5T

Total labor hours required at Production department = 3.5G + 4T

Total labor hours required at Assembly department = 2G + 1.5T.

Constraint:

Labor hours required ≤ Labor hours Available.

Production department Labor constraint

3.5G + 4T ≤ 2030

Assembly department Labor constraint:

2G + 1.5T ≤ 875

The function:

Maximum Profit Z = 150T +130G

Constraint:

3.5G +4T ≤ 2030

2G + 1.5T ≤ 875

T ≥ 1.5G

Suppose that for example:

10.5G +12T = 6090

 16G + 12T = 7000

Solve both equations simultaneously,

5.5G = 7000 - 6090

5.5G = 910

    G = 910/5.5

    G = 363

Since, T > G

Hence,

T = 363,

G = 165

Calculate Profit:

150T + 130G = 150 × 363 + 130 × 165

                     = 54450 + 21450

                     = 75900

Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.

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Answer:

= 24.

Step-by-step explanation:

-(-5+(-8))-(-9-2)

= -(-5-8)-(-9-2)

= 5 + 8 + 9 + 2

= 13 + 11

= 24

The system 21+12 +2.13 2 11 - 309+ 3.13 -3 (2:11 +19-33 -1 :

(a) Finding the reduced row echelon form of the augmented matrix: This is the augmented matrix for the given system of linear equations. First, we will perform some basic row operations in order to convert this matrix to its row echelon form. Now, we want to get rid of the entry in the second row and first column. In order to do that, we will subtract the twice the first row from the second row. The second row is already in the correct form. Now, we will subtract 2 times the second row from the first row. This step is not necessary, but it helps simplify the computation for the next step. Next, we will subtract 33 times the second row from the third row.

Now, we want to get rid of the entry in the third row and second column. In order to do that, we will subtract -13 times the second row from the third row. The third row is already in the correct form (leading entry equal to 1).Finally, we will subtract 19 times the third row from the first row. The matrix is now in row echelon form. In order to convert it to reduced row echelon form, we need to get rid of the entry in the first row and second column. We will subtract 5 times the first row from the second row in order to do that. The matrix is now in reduced row echelon form.

(b) Solving the system of equations using the reduced row echelon form: This is the same matrix as before, but we only consider the coefficients and the constants. We can see that the last column is equal to the right-hand side of the equations. Therefore, the third equation is 0 = -16, which is impossible to satisfy. This means that the system of equations is inconsistent. Therefore, there is no solution to the original system of equations.

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    To consider the system MATRIX

How to solve Matrix for this system

(a) Find the reduced row echelon form of the augmented matrix for this system.

The augmented matrix for this system is:

 [2, 1, 2, 16]

 [2, -3, 3, -3]

 [2, 1, -3, -1]

]

We can reduce this matrix to row echelon form as follows:

Swap row 1 and row 2.

[2, -3, 3, -3]

[2, 1, 2, 16]

[2, 1, -3, -1]

Add row 1 to row 2.

[2, -3, 3, -3]

[0, -2, 5, 13]

[2, 1, -3, -1]

Subtract row 1 from row 3.

[2, -3, 3, -3]

[0, -2, 5, 13]

[0, 4, -6, 2]

Swap row 2 and row 3.

[2, -3, 3, -3]

[0, 4, -6, 2]

[0, -2, 5, 13]

Add 1/2 * row 2 to row 3.

[2, -3, 3, -3]

[0, 4, -6, 2]

[0, 0, 1, 15]

Divide row 3 by 1.

[2, -3, 3, -3]

[0, 4, -6, 2]

[0, 0, 1, 15]

Add 6*row 3 to row 2.

[2, -3, 3, -3]

[0, 4, 0, 92]

[0, 0, 1, 15]

Subtract 3*row 3 from row 1.

[2, -3, 0, -48]

[0, 4, 0, 92]

[0, 0, 1, 15]

]

Divide row 2 by 4.

[

[2, -3, 0, -48]

[0, 1, 0, 23]

[0, 0, 1, 15]

Add 3*row 2 to row 1.

[2, 0, 0, 36]

[0, 1, 0, 23]

[0, 0, 1, 15]

Now, we have reduced the matrix to row echelon form. The last column of the matrix represents the values of x, y, and z, respectively, in the solution to the system of equations.

Therefore, the solution to the system of equations is x = 36, y = 23, and z = 15.

(b) Solve the original system of equations.

The solution to the original system of equations is x = 36, y = 23, and z = 15.

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Answer:

for the shirts made column its 1, 2, 3, 4, 5

for the cost of machine it's 2 and 150

and for total cost its 160, 180, and 200

Step-by-step explanation:

A function is a mathematical relationship between the domain and the range, two sets of values. The range is the set of output values that the function produces, and the domain is the set of input values for which it is defined.

What is a function, exactly?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

Consider the function f(x) = x^2 as an illustration. This function generates the value f from the supplied value x. (x). This function will return the value 9 if the given value is 3, since 3^2 = 9.

Generally speaking, a function describes the relationship between two sets of values (the domain) (the range). For instance, the relationship between the input value x and the output value f(x) is described by the function f(x) = x^2.

A formula, which is a guide that explains how to calculate the output value for a specific input value, is typically used to express a function. For instance, the function f(x) = x^2 has the formula f(x) = x^2. We just enter the input value into the formula and simplify to determine the output value for a particular input value.

A fundamental idea in mathematics, functions are used to model and describe a wide variety of real-world occurrences. For instance, the quadratic function f(x) = x^2 + 2x + 1 can be used to simulate how an item would move in the presence of gravity. A population's expansion over time can be predicted using the exponential function f(x) = 3^x.

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Answer:

No

3a²-6a=a²-4

2a²-6a-4=0

a²-3a-2=0

a=2 or a=1

Answer:

how do you have to answer it so i can give you the answer

Step-by-step explanation:

Answer:

Try 17

Step-by-step explanation:

The given differential equation is not exact. However, after multiplying it by the integrating factor (x+y)⁻², the new equation is exact.

To verify this, we first found that My = 2(x-y) and Nx = 2(y-x) for the original DE, which are not equal. Then, we multiplied the DE by the integrating factor and found that My = -4xy/(x+y)³ and Nx = -4xy/(x+y)³, which are equal. Therefore, the new DE is exact.

To solve the exact DE, we need to find a function F(x,y) such that F_x = M and F_y = N. Integrating M with respect to x, we get

where g(y) is the constant of integration. Taking the partial derivative of F with respect to y and equating it to N, we get

Integrating both sides with respect to y, we get

g(y) = y³/3 + C, where C is the constant of integration.

Therefore, the solution to the exact DE is given by F(x,y) = x²y - xy² + y³/3 + C, where C is an arbitrary constant.

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Estimation of  \(\sqrt{18}\) to nearest integer is 4.

Integer For every two same numbers multiplied inside the square root, one number can be taken out of the square root.

For every three same numbers multiplied inside the cube root, one number can be taken out of the cube root. The same procedure can be followed for fourth root and more.

Perfect squares are numbers that are the products of integers by themselves. In other words, when an integer is multiplied by itself, the resulting product is termed as a perfect square of the given number. For example, 36 is a perfect square because it is the product of 6 by itself.

\(\sqrt{18}\) is not a perfect square.

nearest to 18 , 16 and 25 are the perfect squares

So, \(\sqrt{18}\) lies in  between \(\sqrt{16}\) and \(\sqrt{25}\) .

\(\sqrt{18}\) lies in  between 4 and 5.

Nearest integer is 4.

So , estimation of  \(\sqrt{18}\) to nearest integer is 4.

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The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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Answer:

the answer is RATIONAL

Step-by-step explanation:

why u ask

becasue the number is less than 1

please mark brainiest

If we subtract 38 (the starting point) from 31 (the ending point), the result is 7. This answer tells us that the pass was 7 yards long – length.

The quarterback was standing at the 38 yard line, and the player he passed the ball to was on the 31 yard line. To find the length of the pass, we subtract the two numbers: 38 - 31 = 7. The pass was 7 yards long.

The quarterback was standing at the 38 yard line when he threw the pass, and the player he passed the ball to was on the 31 yard line. To find the length of the pass, we need to subtract the two numbers. If we subtract 38 (the starting point) from 31 (the ending point), we get 7. This means that the pass was 7 yards long.

The quarterback was standing at the 38 yard line, and he had to throw the ball to a player on the 31 yard line. To find out the length of the pass, we need to subtract the two numbers. If we subtract 38 (the starting point) from 31 (the ending point), the result is 7. This answer tells us that the pass was 7 yards long. This is a good example of how mathematics can be used to solve real-world problems. By breaking down the  mathematical operations problem into smaller pieces and applying, we were able to quickly and accurately find the length of the pass.

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Answer:

Step-by-step explanation:

CA and CB are both opposite equal 90 degree angles so are equal so we can say

8x-12=4x

4x-12=0

4x=12

x=3, since CA=4x

CA=4(3)=12

Answer:

8.61%

61.29%

14.86%

20%

Step-by-step explanation:

Distance between the points A and B is 4√(r²+s²)

Distance between two point is the length of the line segments that connect the two points.

Given points are

A(-r,2s) and B (3r,6s)

x1 = -r , y1 = 2s

x2 = 3r , y2 = 6s

Distance formula AB = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Now put the value of x and y in the distance formula

we get ,

\(AB=\sqrt{(3r-(-r))^2+(6s-2s)^2} \\AB=\sqrt{(3r+r)^2+(4s)^2}\\ AB=\sqrt{(4r)^2+(4s)^2}\\ AB=\sqrt{16r^2+16s^2}\\AB=4\sqrt{r^2+s^2}\)

Distance between the points A and B is 4√(r²+s²).

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The probability of getting a number < 9 is 28/37.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. It has a range from 0 to 1.

Probability(Event) = Favorable Outcomes / Total Outcomes

Main Body:

Total numbers on the spinner greater than 9  = 37 - 10 + 1 = 28

(we are subtracting 10 because we need number that is greater than 10.)

and adding 1 because both the ends of interval is counted.

total numbers on spinner =37

P( x>9) = 28/37.

Hence the probability of getting a number greater than 9 on spinning is 28/37.

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