i neeed to solve this equation with elimination

X u y = {z l z ∈ x or z ∈ y} is a valid set builder notation. Yes, this is a valid set builder notation. This specifies the elements of the set.

A set builder notation is a way of expressing a set using a description of its elements. In this particular set builder notation, the set consists of all elements that are either in set x or set y.

The notation is written as {z l z ∈ x or z ∈ y}, where the curly braces denote the set and the statement "z ∈ x or z ∈ y" specifies the elements of the set. This is a valid set builder notation because it correctly expresses the elements of the set.

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Answer:

X=9

Step-by-step explanation:

9+6=15

15-7=8

Absolute value equals a positive

The average height above the x-axis of a point in the region \(0\leq y\leq x^2\), for 0≤x≤25 using definite integral is 208.33 units.

To calculate the average height above the x-axis of a point in the region \(0\leq y\leq x^2\), for 0 ≤ x ≤ 25, we need to find the average value of y over this range.

The equation y = x² represents a parabola that opens upwards. To find the average height, we need to integrate the function y = x² over the given range and then divide by the length of the range.

Let's calculate it step by step:

Calculate the definite integral of y = x² with respect to x over the range 0 to 25:

∫[0,25] \(x^{2}\) dx = \([x^3/3]\) evaluated from 0 to 25

\(= (25^3/3) - (0^3/3)\\= (25^3/3)\\= 16666.67\)

Calculate the length of the range:

Length = 25 - 0 = 25

Divide the definite integral by the length of the range to find the average height:

\(Average height = (25^3/3) / 25\\= (25^2/3)\\= 208.33\)

Therefore, the average height above the x-axis of a point in the region \(0\leq y\leq x^2\), for 0 ≤ x ≤ 25, is approximately 208.33 units.

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The statement is True, A constraint function is a function of the decision variables in a problem.

It is also known as a limit function. It is an important part of the optimization algorithm that is being used to solve an optimization problem. Constraints limit the solution space of a problem, making it more difficult to optimize the objective function. They are utilized to place limits on the variables in a problem so that the solution will meet particular criteria, such as meeting specified production levels, adhering to security criteria, or remaining within specified limits. In optimization, the constraint function is used to define the limitations of the solution. The problem cannot be resolved without incorporating these limitations in the equation. Constraints are frequently used in mathematics, physics, and engineering to define what is feasible and what is not. They are utilized in optimization to limit the search space for a problem's solution by specifying boundaries for the decision variables, effectively eliminating infeasible options and improving the accuracy of the solution.

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Answer: You can multiply the top equation by -1 to eliminate the x variable.

And the solution is (2,4/3)  in case you need it.

Step-by-step explanation:

2x + 3y = 8

2x + 6y = 12

If you multiply the upper equation or down equation by one, you will be able to eliminate the x variable.

-1( 2x + 3y) = -1(8)     New equation:   -2x -3y  = -8.

Add the new equation you got  by multiplying the top equation by -1 to the bottom equation.

Add them:     -2x -3y = -8

                      2x + 6y = 12  

                               3y = 4  

                              y = 4/3

You can now input the value for y into the one of the equations and solve for x.

-2x - 3(4/3) = -8

-2x -4 = -8  

     +4     +4

-2x = -4

x = 2

Answer:

∠ G ≈ 38.9°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos G = \(\frac{adjacent}{hypotenuse}\) = \(\frac{GH}{GI}\) = \(\frac{7}{9}\) , thus

∠ G = \(cos^{-1}\) (\(\frac{7}{9}\) ) ≈ 38.9° ( to the nearest tenth )

The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)

Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

To calculate the number of adults who chose basketball, we sum up the values from the age range categories:

Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball

Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:

Number of adults who chose basketball = 15 + 8 + 11 = 34

Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:

Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)

From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:

Total number of surveyed adults = 49 + 48 + 52 = 149

Now, we have the values we need to calculate the proportion:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

= 34 / 149

Hence the correct option is (a).

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Answer:

I would need to see the rectangles and there areas to answer that sorry

Answer:6

Step-by-step explanation:

The amplitude is 3

for a sine graph, the amplitude is the distance up or down from the midway point. The equation to find the amplitude is (max-min) / 2.

(3 - (-3)) / 2 = 3

The value expression represents another method of computing the product given

Thus option A. (-1)((1 × 76) + (0.45 × 76)) has value -110.2 . So it is correct option.

-1.45*76 =-110.2

Now checking all the option one by one if any option has the value -110.2

then it is correct

A. (-1)((1 × 76) + (0.45 × 76))

   (-1)(76 + 34.2)

   =-110.2

B. (-1)(-1.45 - 76)

     (-1)(-77.5)

   = 77.5

C. (-1)(-1.45 + 76)

  (-1)(74.5)

  = -74.5

D. (-1)(-1.45 × 76)

   (-1)(-110.2)

= 110.2

Thus option A. (-1)((1 × 76) + (0.45 × 76)) has value -110.2 . So it is correct option.

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Answer:

700$ at 2% 800$ at 4%

Step-by-step explanation:

x+y=1500 This is because the total is 1500 dollars into 2 different accounts, x and y.

0.02x+0.04y=44 This is because it says 2 percent interest in one account and 4 percent in the other, and the totals add up to 44 dollars.

Now use elimination method.

x+y=1500(-0.02)=-0.02x+-0.02y=-30

0.02x+0.04y=44

Now you end up with 0.02y=14, solve for y and you get 700. That's the value of y which now you can then subtract from 1500 and get 800 which is the value of x.

Answer:

r² = (2 - (-1))² + (1 - 4)² = 3² + (-3)² = 9 + 9 = 18

(x + 1)² + (y - 4)² = 18

The general form of the equation of the circle is `(x − h)² + (y − k)² = r²`, where the center of the circle is at `(h, k)` and the radius of the circle is `r`.

Given center: `(h, k) = (-1, 4)`Given solution point: `(x, y) = (2, 1)`Let the radius be `r`.

Then, using the distance formula, we can calculate the radius `r`.Distance between center and solution point is `r`i.e. `(x − h)² + (y − k)² = r²

Plugging in the values, we get:`(2 − (-1))² + (1 − 4)² = r²`

Solving for `r`, we get:`3² + (-3)² = r²`

⇒ 18 = r²

⇒ r = ±sqrt(18)`

The center of the circle is `(h, k) = (-1, 4)` and radius of the circle is `r = ±sqrt(18)`.

Hence, the equation of the circle in the general form is`(x − (-1))² + (y − 4)² = (±sqrt(18))²`

On simplifying, we get:`(x + 1)² + (y − 4)² = 18`Therefore, the required equation of the circle in the general form is `(x + 1)² + (y − 4)² = 18`.

Thus, the equation of the circle in the general form is `(x + 1)² + (y − 4)² = 18`.

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Answer:

A sclane triangle

Step-by-step explanation:

because none if its side are the same

Answer:

4x+6 ≥ 18

Step-by-step explanation:

x≥3

The theoretical probability of spinning and odd number will be 5/9.

The theoretical probability of spinning and odd number will be:

Number of odd numbers / Total number

= 5/9

The experimental probability of spinning an odd number is equal to:

= 5/10 = 1/2

Therefore, the theoretical probability of spinning an odd number is greater than the experimental probability of spinning an odd number.

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A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

n/37=236n=1111 /37 =0.2972972972972972972972972972972972972972

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

A fraction expressed in a particular way is called a decimal. As an alternative to expressing 1/2, you might write 0.5 instead, with the zero in the ones place and the five in the tenths position.

n/37=236n=1111 /37 =0.2972972972972972972972972972972972972972

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Answer:

I believe its A. 7/16 inches per hour

Step-by-step explanation:

This is wrong don't put this

Answer:

55

Step-by-step explanation:

12 x 5 = 60

60-5 = 55

55 is not prime

Answer:

-250

Step-by-step explanation:

It was right on edge

Answer:

The answer is -250

Step-by-step explanation:

it was on edge and i got it right

Answer:

A. False

B.False

C.True

D.True

I'm not completely sure but that's what I got.

Answer:

\(x = -1\) or \(x = -11\)

Step-by-step explanation:

Given

\(f(x) = 2|x+6| - 4\)

Required

Find x when

\(f(x) = 6\)

Substitute 6 for f(x)

\(6 = 2|x+6| - 4\)

Add 4 to both sides

\(4+6 = 2|x+6| - 4+4\)

\(10 = 2|x+6|\)

Divide both sides by 2

\(5 = |x + 6|\)

Rewrite as:

\(|x + 6| = 5\)

This can be split to:

\(x + 6 = 5\) or \(-(x + 6)=5\)

Solve for x in both cases

\(x = 5 - 6\) or \(x + 6 = -5\)

\(x = -1\) or \(x = -6 - 5\)

\(x = -1\) or \(x = -11\)

Answer:

i think it’s x= -1, x = -11

Step-by-step explanation:

We are given two differential equations and need to find their particular and general solutions. The first equation is 9y' = 10x with the initial condition y(3) = -2, and the second equation is (3x^2 + 1)y - x = 0.

For the first equation, 9y' = 10x, we can integrate both sides with respect to x to find the general solution. Integrating 9y' with respect to x gives 9y = 5x^2 + C, where C is the constant of integration. To find the particular solution, we can substitute the initial condition y(3) = -2 into the general solution and solve for C. For the second equation, (3x^2 + 1)y - x = 0, we can rearrange it to get y = x / (3x^2 + 1). This is the general solution for the differential equation.

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Answer:

140

Step-by-step explanation:

arc AB = 140 because is inscribed by a central angle so the arc and the angle are equal

Answer: ab=14.7

Step-by-step explanation:

Answer:

\(tanA = \frac{28}{21 } = 1.333\)

step by step have no idea but it's a

Holy will take 13/5 or 2.6 hours to finish the bookcase.

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

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The key difference between observational studies and experimental designs is that a well-done observational study does not influence the responses of participants, while experiments do have some sort of treatment condition applied to at least some participants by random assignment.

An observational study is used in fields such as epidemiology, social sciences, psychology, and statistics to draw conclusions from a sample to a population where the independent variable is not under the researcher's control due to ethical concerns or logistical constraints.

Observational studies involve the study of participants who have had no forced change in their circumstances, i.e., no intervention.

Although participants' behavior may change while being observed, the goal of observational studies is to look into the 'natural' state of risk factors, diseases, or outcomes.

Observational studies are those in which researchers examine the impact of a risk factor, diagnostic test, treatment, or other intervention without attempting to change who is or is not exposed to it.

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The sample standard deviation is approximately 5.61 and sample variance is approximately 31.46.

To compute the range of a sample,

we subtract the minimum value from the maximum value.

Range = Maximum value - Minimum value

For the given sample,

the minimum value is 15 and the maximum value is 34.

Range = 34 - 15 = 19

The range of the sample is 19.

To compute the interquartile range (IQR) of a sample, we need to find the difference between the third quartile (Q3) and the first quartile (Q1).

IQR = Q3 - Q1

To calculate the quartiles,

we first need to arrange the data in ascending order:

15, 20, 20, 24, 25, 27, 30, 34

The sample size is 8,

so the median (Q2) will be the average of the fourth and fifth values:

Q2 = (24 + 25) / 2 = 24.5

To find Q1, we take the median of the lower half of the data:

Q1 = (20 + 20) / 2 = 20

To find Q3, we take the median of the upper half of the data:

Q3 = (27 + 30) / 2 = 28.5

Now we can calculate the interquartile range:

IQR = 28.5 - 20 = 8.5

The interquartile range of the sample is 8.5.

To compute the sample variance, we use the formula:

Variance = Σ\([(x - X)^2]\) / (n - 1)

where Σ represents the sum of, x is each data value, X is the mean, and n is the sample size.

First, let's calculate the mean (X):

X = (24 + 20 + 25 + 15 + 30 + 34 + 27 + 20) / 8 = 24.625

Now we can calculate the sample variance:

Variance = \([(24 - 24.625)^2 + (20 - 24.625)^2 + (25 - 24.625)^2 + (15 - 24.625)^2 + (30 - 24.625)^2 + (34 - 24.625)^2 + (27 - 24.625)^2 + (20 - 24.625)^2]\) / (8 - 1)

Variance = 31.46

To compute the sample standard deviation,

we take the square root of the sample variance:

Standard deviation = √(Variance) = \(\sqrt{(31.46}\)) ≈ 5.61

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