What’s the domain and range of the individual points on ten graph?

the domain is:
the range is:

In conclusion, a simultaneous equations system involves solving multiple equations together, exogenous variables are independent, endogenous variables are dependent, a structural form model represents causal relationships, and a reduced form model simplifies the relationships between variables.

I. Simultaneous equations system refers to a set of equations where multiple unknown variables are solved simultaneously. These equations are interdependent and must be solved together.

II. Exogenous variables are independent variables in a statistical or economic model. They are not influenced by other variables in the model and are often determined outside the system being analyzed.

III. Endogenous variables, on the other hand, are dependent variables in a statistical or economic model. They are influenced by other variables in the model and are determined within the system being analyzed.

IV. Structural form model is a representation of a system that shows the relationships between endogenous and exogenous variables. It describes the underlying theory or causal relationships between variables.

V. Reduced form model is a simplified version of the structural form model, where all variables are expressed as functions of exogenous variables. It focuses on the relationships between endogenous variables without considering the underlying theory or causality.

In conclusion, a simultaneous equations system involves solving multiple equations together, exogenous variables are independent, endogenous variables are dependent, a structural form model represents causal relationships, and a reduced form model simplifies the relationships between variables.

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Answer:

45.29 miles per hour

Step-by-step explanation:

Speed is the distance over time.  To find the average rate of speed for a trip, we simply need to take the total distance divided by the total time.

Avg. Speed = (188 miles + 197 miles) / (4 hours + 4.5 hours)

Avg. Speed = 45.29 miles per hour

Hence the average rate of speed for the trip was 45.29 miles per hour.

Cheers.

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Edit:  Thanks to Chegsnut36 for calculation correction

Answer:

≅45.29

Step-by-step explanation:

Hey there!

To find the average rate speed we need to add all the same number.

188 + 197 = 385

4 + 4.5 = 8.5

Now to find the average rate we do,

385 ÷ 8.5 ≅ 45.29

Hope this helps :)

The probability of drawing 2 green balls simultaneously from a bag containing 2 yellow and 4 green balls can be determined using the following method:

First, calculate the total number of balls in the bag. There are 2 yellow balls and 4 green balls, so the total is 6 balls.

Now, let's find the probability of drawing 2 green balls. To do this, consider the number of green balls (4) and the total number of balls (6). When drawing the first green ball, there are 4 green balls out of 6 total balls. Therefore, the probability of drawing one green ball is 4/6.

Since the balls are drawn simultaneously, there's no change in the number of balls for the second draw. So, the probability of drawing a second green ball remains 4/6.

Now, we can calculate the probability of both events occurring simultaneously by multiplying the probabilities:

(4/6) * (4/6) = 16/36

To simplify the fraction, divide both numerator and denominator by their greatest common divisor (4):

16/36 = 4/9

So, the probability of drawing 2 green balls simultaneously is 4/9.

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Answer: c(x)=-2 x2 + 16x + 168

Step-by-step explanation: I hope this helps if im wrong im srry!

Answer:

\(c(x) = - 1(x - 7.5)^{2} + 222.25\)

I apologize if this is the wrong format. It's also extremely complicated to explain.

The first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190

Series are sum of sequences

The formula for calculating the last term of a sequence is expressed as:

Sn = n/2(a+l)

Given the following

Sn = 4185

n = 18

l = 275

Required

first term "a"

Substitute

4185 = 18/2(a + 275)

4185 = 9(a + 275)

465 = a+ 275
a = 465 - 275
a = 190

Hence the first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190

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Answer:

4 ;P !!!!!!!!!!!!!!!!!!!!!!

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

24

Step-by-step explanation:

If 4/6 of the items are jackets and the rest are gloves, this means 1 - 4/6 = 2/6 = 1/3 of the items are gloves in Saginaw Elementary School's lost and found.

We do 72 total items × 1/3 items are gloves = 24 items in the lost and found are gloves

For men- P(450 < X < 650) = Φ((650 - 550) / 100) - Φ((450 - 550) / 100) = Φ(1) - Φ(-1) ≈ 0.6826. Women- P(325 < X < 475) = Φ((475 - 400) / 75) - Φ((325 - 400) / 75) = Φ(1) - Φ(-1.067) ≈ 0.7422

To answer this question, we can use the normal distribution formula and technology such as Excel or statistical software. For men, the distribution of bladder volumes is approximately normal with a mean of 550 ml and a standard deviation of 100 ml. We can calculate the probability of a man having a bladder volume between two values using the formula:

P(a < X < b) = Φ((b - μ) / σ) - Φ((a - μ) / σ)

where Φ is the standard normal cumulative distribution function, μ is the mean, and σ is the standard deviation.

For example, the probability of a man having a bladder volume between 450 and 650 ml is:

P(450 < X < 650) = Φ((650 - 550) / 100) - Φ((450 - 550) / 100) = Φ(1) - Φ(-1) ≈ 0.6826

For women, the distribution of bladder volumes is approximately normal with a mean of 400 ml and a standard deviation of 75 ml. We can use the same formula to calculate the probability of a woman having a bladder volume between two values.

For example, the probability of a woman having a bladder volume between 325 and 475 ml is:

P(325 < X < 475) = Φ((475 - 400) / 75) - Φ((325 - 400) / 75) = Φ(1) - Φ(-1.067) ≈ 0.7422

In conclusion, using the normal distribution formula and technology, we can calculate the probability of a person having a bladder volume within a certain range given the mean and standard deviation of bladder volumes in men and women.

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Answer:

x = 74°

Step-by-step explanation:

The measure of the inscribed angle x is half the measure of its intercepted arc, that is

x = \(\frac{1}{2}\) × 148° = 74°

A fraction is written in the lowest terms when it uses the smallest possible numerator and denominator. To put a fraction in the lowest terms, find the largest number that divides both the numerator and the denominator. Divide both the numerator and the denominator by that number.

you divide 7 by 7 and 35 by 7 and it gives you 1 over 5

so the lowest term for 7 over 35 is 1 over 5

hope it helps!

Answer:

It is 2/15

Step-by-step explanation:

\( = \sqrt{ \frac{1}{ {6}^{2} } - \frac{1}{ {10}^{2} } } \\ \\ = \sqrt{ \frac{4}{225} } \\ \\ = \frac{ \sqrt{4} }{ \sqrt{225} } \\ \\ = \frac{2}{15} \)

the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The equation that is used to model the situation is an exponential equation.

The equation that models the situation is 42,500 x (1.014)^t.

The value of the employee's salary after 17 years is $53,831.

The A linear equation is an equation that increases by a constant value. A linear equation is a straight line when drawn on a graph. An exponential equation is an equation that is raised to a power. An exponential equation is not a straight line.

Due to the fact that the raise increases by a constant term, it is an exponential equation. The form of an exponential equation is: \(a^{x}\)

Where:

The general form of exponential equation is f(x) =

Where:

A = 42,500 x (1 + 0.014)^t

A = 42,500 x (1.014)^t

Annual salary after 17 years of work = 42,500 x (1.014)^17 = $53,831

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The linear function for the cost is given as follows:

C(t) = 10 + 3t.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

We have that each hour, the cost increases by $3, hence the slope m is given as follows:

m = 3.

For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:

b = 10.

Thus the function is given as follows:

C(t) = 10 + 3t.

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Answer:

Step-by-step explanation:

If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio and the ratio in the given situation is 3a:2b = 6:1.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0.

A proportion is an equation that sets two ratios at the same value.

For instance, if there is 1 boy and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every boy), meaning that there are 1 in 4 boys and 3 in 4 girls.

Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B).

So, we know that:

a+b/a-b = 5/3

Now, solve as follows:

3 ( a + b) = 5 ( a - b)

3 a + 3 b = 5 a - 5 b

5 b + 3 b = 5 a - 3 a

8 b = 2 a

2 a = 8 b

a = 4 b

3 a = 3 × 4 b

3 a = 12 b

3 a: 2 b = 12 b : 2 b

Then: 3a:2b = 6:1

Therefore, if b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio and the ratio in the given situation is 3a:2b = 6:1.

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Correct question:

A+b/a-b=5/3 what are the following ratios? 3a:2b

The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.

The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:

(a) Local non-satiation:

This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.

(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:

MU1 = α * xi^(α−1) * x2^(β)

The marginal utility of x2 can be obtained as:

MU2 = β * xi^(α) * x2^(β−1)

Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.

(c) Quasi-concavity:

The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.

(d) Homotheticity:

The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.

In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.

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On factorizing 2v² + 4v = 6 the obtained solutions of the quadratic equation are v = 1 and v = -3.

What is factorization by splitting middle term?

The method of Splitting the Middle Term by factorization is where you divide the middle term into two factors. We know that composite numbers can be expressed as the product of prime numbers.

Rule to factorize trinomial expression where coefficients are real numbers, is to split b (the coefficient of x) into two real numbers such that the algebraic sum of these two numbers is b and their product is c, then factorize by grouping method.

According to the given question:

Factorizing 2v² + 4v = 6 by Splitting the Middle Term method

2v² + 4v = 6

2v² + 4v - 6 = 0

2v² + 6v - 2v - 6 = 0

2v(v+3) - 2(v+3) = 0

(2v-2)(v+3) = 0

Therefore the solutions are

2v - 2 = 0                                      v +3 = 0

v = 1                                                   v = -3

Hence on factorizing 2v² + 4v = 6 the obtained solutions of the quadratic equation are v = 1 and v = -3

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Answer: 73.7

5 rounds up so you add 1 to the 6

The number of degrees of freedom is 24, and the critical value X² for a 95% confidence level and 24 degrees of freedom is approximately 36.415.

To find the number of degrees of freedom and the critical value X² for a 95% confidence level with n = 25 and s = 0.24, we need to determine the appropriate values based on the chi-square distribution.

The number of degrees of freedom (df) is equal to n - 1, where n is the sample size. In this case, df = 25 - 1 = 24.

To find the critical value X² for a 95% confidence level and 24 degrees of freedom, we need to consult a chi-square distribution table or use statistical software. The critical value corresponds to the chi-square value that leaves 5% (0.05) in the right tail.

Looking up the chi-square distribution table or using software, we find that the critical value for a 95% confidence level and 24 degrees of freedom is approximately 36.415.

Therefore, the number of degrees of freedom is 24, and the critical value X² for a 95% confidence level and 24 degrees of freedom is approximately 36.415.

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The missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have the roots of a quadratic equation:

5 ± 3i

To find the quadratic equation:

(x - (5+3i))(x - (5-3i))

\(\rm =x^2+x\left(-\left(5-3i\right)\right)-\left(5+3i\right)x-\left(5+3i\right)\left(-\left(5-3i\right)\right)\)

= x² -10x + 34

The missing value is 10x

The quadratic equation is:

= x² -10x + 34

Thus, the missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

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Answer:

m∠C = 102°

Step-by-step explanation:

This is is a cyclic quadrilateral

• The sum of opposite angles in a cyclic quadrilateral is equal to 180°

m∠D + m∠B = 180°

m∠B = 180° - m∠D

m∠B = 180° - 80°

m∠B = 100°

If you look at the above diagram properly, you will notice there are are angles outside the circle. We refer to this an exterior or external angles in a cyclic quadrilateral

• Note that m∠B is Opposite the exterior angle m∠CDA

Hence,

m∠CDA = 2 × m∠B

m∠CDA = 2 × 100°

m∠CDA = 200°

• m∠CDA = m∠CD + m∠DA

m∠DA = m∠CDA - m∠CD

m∠DA = 200° - 116°

m∠DA = 84°

• Another external angle we need to find is m∠DAB

m∠DAB = m∠DA + m∠AB

We know that m∠DA = 84°, therefore,

m∠DAB = 84° + 120°

m∠DAB = 204°

• The final step is to solve for m∠C

m∠DAB is Opposite m∠C

Hence

m∠C = 1/2 × m∠DAB

m∠C = 1/2 × 204

m∠C = 102°

Answer:

=15p+60-24q-48=15p-24q+12

it's the first one

The equivalent form of the given expression will be 15p - 24q +8. Hence, the first option is correct.

In mathematics, expressions are assertions that must contain at least two words with variables or terms with numbers in them, or both, and connect them with an operator. It is possible for the mathematical operators to be addition, subtraction, multiplication, or division.

For instance, the equation (x+y) has the terms x and y with an addition operator in between. Numerical expressions, which just contain numbers, and algebraic expressions, which also include variables, are the two types of expressions used in mathematics.

The given expression in the question,

15(p + 4) - 12(2q + 4)

15p + 60 - 24q - 48

15p - 24q + 12.

Hence, it is proved that the equivalent form of the expression is 15p - 24q + 12.

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Answer:36

Step-by-step explanation:

because

Let ψ(x)={csin(2πxL) x≤L {0 x<0 or x>L be the electron wave function. The probability that an electron is in the range 0≤x≤L/3 equals square root (2/L) of the normalization constant, or c. The response is one or half.

The wave functions. A wave function () is a mathematical formula that connects the position of an electron at a specific point in space (specified by its x, y, and z coordinates) to the wave's amplitude, or its energy. Consequently, a specific energy E is linked to each wave function. To determine the wavelength of the traveling electron, use the de Broglie wave equation =hmv.

As a function of momentum, time, location, and spin, a wave function in quantum physics describes the quantum state of a particle. The Greek letter psi, or, is the symbol used to represent a wave function. The shape of an electron is a consequence of its energy and the structure of the potential well that traps it. 1/2 or 1 represents the likelihood that an electron is in the range 0≤x≤L/3.

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Note that the solution of the system of equations will be (-6, -2). (Option A)

A system of equations is a collection of two or more equations with a shared set of unknown variables. The goal is to find the values of the variables that satisfy all the equations simultaneously.

Note that System of equations is represented by two straight lines on a graph.

And solution of the system of equations is the point of intersection of these lines, because that is the point where the values from both functions satisfy all the equations simultaneously.

From the graph attached, two straight lines represent the system of equations.

And the point of intersection of these lines is the solution.

Therefore, solution of the system of equations will be (-6, -2). (Option A)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

What is the solution to the system of equations?
A (-6,2-)

B (-2, 6)

C (6,2)

D (-2,-6)​? See attached image.

Answer:

B) 65 sq in

Step-by-step explanation:

SA = area of base + 1/2(perimeter of base)(slant height)

= 5² + 1/2(20)(4)

= 25 + 40

Answer:

Number 1: -8.7. Number 2: -2

Step-by-step explanation:

To find the first one, subtract 11 from 2.3.

2.3-11= -8.7 , so that's the answer for the first one.

To find the answer to the second one, just do -4+-2=-2, so that's the answer for the second one.