Select the correct answer.
What is the solution to this system of equations?
x= 12 - y
2x + 3y= 29
ОА.
x = 8, y=4
B.
x = 6, y = 6
O C. x = 7, y= 5
OD
x = 9, y = 3

The statistical value describes a regression line fits the data points:

R-squared

What is Statistical Value?

When it is extremely unlikely that an observed event occurred by accident, it is deemed statistically significant. An observed event is considered statistically significant when its p-value is less than a certain cutoff, or level of significance.

The statistical value describes a regression line fits the data points is

R-squared

The statistical indicator of how closely the data resemble the fitted regression line is called R-squared. For multiple regression, it is sometimes referred to as the coefficient of determination or the coefficient of multiple determination.

R-squared = Explained variation / Total variation

R-squared is always between 0 and 100%

The better the model matches your data, in general, the greater the R-squared.

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Answer:

a. The common ratio is 0.5

b) The value of the first term is 29

c) The sum of the first 5 terms is 56.1875

Step-by-step explanation:

The nth term of the geometric sequence is a\(_{n}\) = a\(r^{n-1}\), where

The sum of the nth term is S\(_{n}\) = \(\frac{a(1-r^{n})}{1-r}\)

∵ The second term of a geometric sequence is 14.5

∴ n = 2

∴ a\(_{2}\) = 14.5

∵ a\(_{2}\) = ar

→ Equate the right sides of a\(_{2}\) by 14.5

∵ ar = 14.5 ⇒ (1)

∵ The fifth term is 1.8125

∴ n = 5

∴ a\(_{5}\) = 1.8125

∵ a\(_{5}\) = a\(r^{4}\)

→ Equate the right sides of a\(_{5}\) by 14.5

∵ a\(r^{4}\) = 1.8125 ⇒ (2)

→ Divide equation (2) by equation (1)

∵ \(\frac{ar^{4}}{ar}\) = \(\frac{1.8125}{14.5}\)

∴ r³ = 0.125

→ Take ∛ for both sides

∴ r = 0.5

a. The common ratio is 0.5

→ Substitute the value of r in equation (1) to find a

∵ a(0.5) = 14.5

∴ 0.5a = 14.5

→ Divide both sides by 0.5

∴ a = 29

b) The value of the first term is 29

∵ n = 5

∴ S\(_{5}\) = \(\frac{29[1-[0.5]^{5})}{1-0.5}\)

∴ S\(_{5}\) = 56.1875

c) The sum of the first 5 terms is 56.1875

The woman has €123,750 left after paying taxes.

To calculate how much the woman has left after paying taxes, we need to determine her taxable income and then subtract the tax amount.

The woman earns €150,000 per annum and is allowed a tax-free pay of €45,000. This means that her taxable income is the difference between her total income and the tax-free allowance:

Taxable Income = Total Income - Tax-Free Pay

= €150,000 - €45,000

= €105,000

Next, we need to calculate the tax amount based on the taxable income. The woman pays 25 cents per euro as tax on her taxable income, which can be expressed as a tax rate of 25%.

Tax Amount = Tax Rate * Taxable Income

= 0.25 * €105,000

= €26,250

Finally, we can determine the amount the woman has left after paying taxes by subtracting the tax amount from her total income:

Amount Left = Total Income - Tax Amount

= €150,000 - €26,250

= €123,750

Therefore, the woman has €123,750 left after paying taxes.

It is important to note that tax calculations can vary depending on the specific tax laws and regulations in a particular jurisdiction. The above calculation assumes a tax rate of 25% and does not take into account any additional deductions or credits that may apply.

It is always advisable to consult with a tax professional or refer to the tax laws in the relevant jurisdiction for accurate and up-to-date information regarding tax calculations.

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The value of b is 3.

The value of c is 1/8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 5 = 9 is an equation.

We have,

Two equations given are:

b = 24c ____(1)

(1/4)b + 4c = 5/4 _____(2)

Putting (1) in (2) we get,

(1/4)24c + 4c = 5/4

6c + 4c = 5/4

10c = 5/4

c = 5/40

c = 1/8

Putting c = 1/8 in (1) we get,

b = 24/8

b = 3

Thus,

b = 3.

c = 1/8.

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Answer:

5 movies

Step-by-step explanation:

90-30=60

60/12=5

Answer:

90 minus 12x is greater than or equal to 30

then solve and get x equals 5

To solve this problem, we need to use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d  where a1 is the first term, d is the common difference, and n is the term number.  This means that the first term is 118, the common difference is -6, and each subsequent term is found by subtracting 6 from the previous term.

We know that the 4th term is 100, so we can substitute this into the formula:
a4 = a1 + (4-1)d
100 = a1 + 3d

Similarly, we know that the 13th term is 46:
a13 = a1 + (13-1)d
46 = a1 + 12d
Now we have two equations with two unknowns (a1 and d), which we can solve by elimination or substitution. I will use elimination:
100 = a1 + 3d
-46 = -a1 - 12d
------
54 = -9d
d = -6
Now we can substitute d back into one of the equations to solve for a1:
100 = a1 + 3(-6)
a1 = 118
Therefore, the expression for the general term of the arithmetic sequence is:
an = 118 - 6(n-1) or  an = 124 - 6n

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It's always recommended to consult with a payroll professional or accountant for net pay to insure delicacy and compliance with applicable laws and regulations.

To calculate the net pay for workers of Mountain Stone Brewery in Fort Collins, Colorado, we will use the handed information and apply the chance system for homemade payroll systems.

First, let's calculate the civil income duty using the Form 4 from 2020 or latterly. We'll assume Box 2 isn't checked for any hand.

Hand S( Bergstrom)

caparison per period$ 50

Taxable net pay$ 1,810-$ 50 = $ 1,760

Civil income duty( using Form 4)$ 1,760 *0.15 = $ 264

Hand C( Pare)

caparison per period$ 0

Taxable pay$ 3,780

Civil income duty( using Form 4)$ 3,780 *0.15 = $ 567

Hand L( Van der Hooven)

caparison per period$ 120

Taxable pay$ 3,505-$ 120 = $ 3,385

Civil income duty( using Form 4)$ 3,385 *0.15 = $507.75

Hand S( Lightfoot)

caparison per period$ 240

Taxable pay$ 3,130-$ 240 = $ 2,890

Civil income duty( using Form 4)$ 2,890 *0.15 = $433.50

Hand Filling

caparison per period$ 75

Taxable pay$ 100

Civil income duty( using Form 4)$ 100 *0.15 = $ 15

Next, let's calculate the Colorado income duty, which is4.55 of the taxable pay.

Hand S( Bergstrom)

Colorado income duty$ 1,760 *0.0455 = $80.08

Hand C( Pare)

Colorado income duty$ 3,780 *0.0455 = $172.29

Hand L( Van der Hooven)

Colorado income duty$ 3,385 *0.0455 = $154.14

Hand S( Lightfoot)

Colorado income duty$ 2,890 *0.0455 = $131.80

Hand Filling

Colorado income duty$ 100 *0.0455 = $4.55

Eventually, let's calculate the net pay by abating the civil and state income duty, union pretenses , and beautifiers from the gross pay.

Hand S( Bergstrom)

Net pay = $ 1,810-$ 264-$80.08-$ 50 = $ 1,415.92

Hand C( Pare)

Net pay = $ 3,780-$ 567-$172.29-$ 0 = $ 3,040.71

Hand L( Van der Hooven)

Net pay = $ 3,505-$507.75-$154.14-$ 120 = $ 2,723.11

Hand S( Lightfoot)

Net pay = $ 3,130-$433.50-$131.80-$ 240 = $ 2,324.70

Hand Filling

Net pay = $ 100-$ 15-$4.55-$ 75 = $5.45

Please note that the computations handed above are grounded on the given information and hypotheticals. It's always recommended to consult with a payroll professional or accountant to insure delicacy and compliance with applicable laws and regulations.

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Answer:

y=2x+1

Step-by-step explanation:

m = slope (rise/run) = +2

b= y-intercept (1)

y=2x+1

The z score for a data value of 45 if the mean of a set of data is 59 and the standard deviation is 13.9. is -1.00719424.

A data point's z-score indicates how many standard deviations it is from the population mean. Any raw data value on a normal distribution can yield a z-score.

When a z-score is calculated, a raw data value is transformed into a standardized score on a standardized normal distribution. Since z-scores are expressed in terms of standard deviations, they enable you to compare data from various samples.

A high z-score indicates that the data value is above average. A negative z-score indicates that something is below average.

A z-score table can be used to determine the proportion of the population that falls above or below any given z-score.

The z-score is given by z = (x-μ)/σ

where x is the data value, μ is the mean and σ is the standard deviation.

μ = 59, σ = 13.9 and x = 45

Putting these values in the formula of z.

We get,

\(z = \frac{45 - 59}{13.9} = -1.00719424\)

Hence, the z score is -1.00719424.

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The product of 8759 x 2391 x 2391 x 7759 is 388,895,526,171,961.

To find the product of 8759 x 2391 x 2391 x 7759, we can use the associative property of multiplication. This property states that the way in which we group the factors does not affect the result of the multiplication.

So, we can group the factors in pairs and multiply each pair together before multiplying the products. Let's start with 8759 x 7759 and then multiply the products of 2391 x 2391.

8759 x 7759 = 67,907,881
2391 x 2391 = 5,716,881

Now, we can multiply these two products together to get the final result.

67,907,881 x 5,716,881 = 388,895,526,171,961

Therefore, the product of 8759 x 2391 x 2391 x 7759 is 388,895,526,171,961.

Using the associative property of multiplication can make it easier to find the product of a large number of factors. By grouping the factors in pairs and multiplying each pair together, we can simplify the problem and make it more manageable.

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Solution

For this case we can do the following

7x^3 + 7x^2 +18

4x^3 -4x^2 - 4x - 2

_________________

11x^3 +3x^2 -4x +1

Answer:

7 batches

Step-by-step explanation:

La división sintetica sirve para el cociente entre polinomios, la cual es particularmente util para cuando tenemos un numerador de grado alto y un denominador de grado 1.

Veremos que si, en la división sintética solo son tomados en cuenta los coeficientes del divisor.

Para explicarla, usaremos un ejemplo.

x^3 - 2x^2 + 5x + 3  será el numerador

x - 2 será el denominador.

Para poder aplicar la división sintetica, el maximo exponente en el denominador debe ser uno.

Así, nuestro cociente es:

\(\frac{x^3 - 2x^2 + 5x + 3}{x-2}\)

Procedemos a igualar el denominador a cero:

x - 2 = 0

x = 2

Ahora veremos los coeficientes del numerador (el numerador es el divisor).

Lo que debemos hacer es tomar cada coeficiente (comenzando por los que multiplican a los terminos con mayor exponente) y multiplicarlos por este número.

En este caso, el primer coeficiente es 1.

2*1 = 2

Ahora le sumamos esto al proximo coeficiente, que es -2:

-2 + 2 = 0

Multiplicamos esto por el valor de x, que es 2.

2*0 = 0

Ahora sumamos esto al proximo coeficiente, que es 5

5 + 0  = 5

Multiplicamos esto por el valor de x, que es 2:

5*2 = 10

Sumamos esto al ultimo coeficiente, que es 3.

10 + 3 = 13

Este ultimo valor es el residuo, y los primeros 3 números que obtuvimos son los coeficientes del cociente, entonces el cociente será:

1*x^2 + 0*x + 10 = x^2 + 10

Como vimos, solo usamos los coeficientes del numerador/divisor para realizar esta operación, por lo que si, solo los coeficientes del divisor son tomados en cuenta.

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The probability of spinning two greens on the spinner is 1/16.

To find the probability of spinning two greens on the spinner, we need to determine the probability of spinning a green on the first spin and then the probability of spinning another green on the second spin. Since there are 4 equal sections on the spinner and one of them is green, the probability of spinning a green on the first spin is 1/4.

After the first spin, assuming the spinner is put back to its original state, the probabilities for each section remain the same. Therefore, the probability of spinning a green on the second spin is also 1/4.

To find the probability of both events happening (spinning two greens), we multiply the probabilities together:

P(spinning two greens) = P(green on first spin) * P(green on second spin)

= (1/4) * (1/4)

= 1/16

Therefore, the probability of spinning two greens on the spinner is 1/16.

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The correct form of a particular solution of the differential equation y" + 4y = cos (2x) is y_p = A cos (2x) + B sin (2x).

The complementary function of the differential equation is y_c = C_1 cos (2x) + C_2 sin (2x), where C_1 and C_2 are constants determined by the initial conditions.

To find the particular solution, we assume that y_p has the same form as the forcing function, which is cos (2x). Since the equation is linear, we can superimpose the particular solution on top of the complementary function, so we have:

y_p = A cos (2x) + B sin (2x)

Taking the first and second derivatives of y_p, we get:

y'_p = -2A sin (2x) + 2B cos (2x)

y''_p = -4A cos (2x) - 4B sin (2x)

Substituting these expressions into the differential equation, we have:

(-4A cos (2x) - 4B sin (2x)) + 4(A cos (2x) + B sin (2x)) = cos (2x)

Simplifying, we get:

(4B - 4A) sin (2x) + (4A + 4B) cos (2x) = cos (2x)

We can solve for A and B by equating coefficients of sin (2x) and cos (2x) on both sides of the equation. This leads to:

A = 0

B = 1/4

Therefore, the particular solution is y_p = A cos (2x) + B sin (2x) = 1/4 sin (2x).

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o find the coordinates of the gates in the third quadrant, we need to find the points where the circle and the line intersect in the third quadrant.

Substituting y = 2x into x² + y² - 4x = 9, we get:

x² + (2x)² - 4x = 9

5x² - 4x - 9 = 0

Using the quadratic formula, we find:

x = (-(-4) ± √((-4)² - 4(5)(-9))) / (2(5))

x = (4 ± √136) / 10

We can discard the positive root since it is in the first quadrant. The negative root corresponds to the x-coordinate of the point of intersection in the third quadrant:

x = (4 - √136) / 10 ≈ -0.433

Substituting this value into y = 2x, we get:

y = 2(-0.433) ≈ -0.866

Therefore, the ordered pair that represents the location of the gates in the third quadrant is (-0.433, -0.866).

Answer:

$4.00

Step-by-step explanation:

To calculate the mean for the four Fridays in March, you add each payment she received and then divide it by the number of times she was paid:

(15.50+26.75+30.00+27.25) / 4 = 24.875

To calculate the mean for the Fridays in April, I did something different. I computed the mean in the same way, but I chose not to include the extra 16 in the division.

(15.50+26.75+30.00+27.25+16.00) / 4 = 28.875.

28.875 - 24.875 = $4.00

Extra explanation:

If you are wondering why I didn't include 16 in the division for the second part of the problem, it's because it would lead to a negative.

If I included 16 in the division, the result would have led to 23.1.

23.1 - 24.875 = -1.775

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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The central angle of the arc with a length of 11 units is 330°.

The length of an arc is expressed as;

Arc length = 2πr × (θ/360)

Also, the circumference of a circle is expressed as;

C = 2πr

Hence,

Arc length = circumference × (θ/360)

Given that;

Plug these values into the above formula and solve for the central angle θ.

11 = 12× (θ/360)

11 = 12θ/360

12θ = 11 × 360

12θ = 3960

θ = 3960 / 12

θ = 330°

Therefore, the central angle is 330 degree.

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Step-by-step explanation:

x⁵+x-1

(2x-x+1) ( x³+x²-1 )

A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

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Answer:

Sorry don’t see the graphs

Therefore, the constant function y(t) = -4 is indeed a solution to the differential equation y' = t²(y-4).

In mathematics, a function is a relation between two sets in which each element of the first set (called the domain) is associated with exactly one element of the second set (called the range or codomain). The concept of a function is one of the central ideas in mathematics and is used in many areas, including algebra, calculus, geometry, and statistics. A function is typically denoted by a symbol such as f(x) or g(x,y), where the input values (or independent variables) are represented by the variables inside the parentheses, and the output values (or dependent variables) are represented by the expression on the right-hand side of the equation.

Here,

To determine if the constant function y(t) = -4 is a solution to the differential equation y' = t²(y-4), we need to substitute y(t) = -4 and y'(t) = 0 into the equation and see if it holds:

y' = t²(y-4)

0 = t²(-4-4)

0 = -8t²

The equation holds for all values of t, since the left-hand side is always zero and the right-hand side is always zero.

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The value of the coefficient C in the solution y = Ax² + Bx + C is 3.

To find C, we can substitute y = Ax² + Bx + C into the given equation y″ - y′ + y = x² + 3x + 5.

First, let's find y' and y″:

y' = d/dx(Ax² + Bx + C) = 2Ax + B
y″ = d²/dx²(Ax² + Bx + C) = 2A

Now, substitute y, y', and y″ into the equation:

2A - (2Ax + B) + (Ax²+ Bx + C) = x² + 3x + 5

Now, let's compare coefficients for each power of x:

x² coefficients:
A = 1 (since we have x² on both sides)

x coefficients:
-2A + B = 3 => -2(1) + B = 3 => B = 5

Constant term:
2A + C = 5 => 2(1) + C = 5 => C = 3

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A seam or edge is an obvious line where the foundation starts or stops. This term refers to a clear boundary or distinction between two areas or surfaces, such as when applying makeup.

A seam or edge is an obvious line where the foundation starts or stops. These lines indicate the boundary of where foundation makeup should be applied or where it should end. It is important to blend the foundation seamlessly into the skin to avoid any noticeable lines or streaks. Additionally, applying a primer beforehand can help smooth out the skin's texture and create a more even base for foundation application. By taking the time to properly blend and apply foundation, you can achieve a flawless, natural-looking complexion.
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Answer:

i think a

Step-by-step explanation:

Answer: a

Step-by-step explanation:

I think

"The value of the limit lim h→0 (f(x+h) - f(x))/h, where f(x) = x and x = 17, is 1."

In more detail, let's evaluate the limit:

lim h→0 (f(x+h) - f(x))/h

Substituting f(x) = x and x = 17, we have:

lim h→0 ((17 + h) - 17)/h

Simplifying, we get:

lim h→0 h/h

The h in the numerator cancels with the h in the denominator, resulting in:

lim h→0 1

Since h approaches 0, the limit evaluates to 1.

The limit lim h→0 (f(x+h) - f(x))/h represents the derivative of the function f(x) at a specific point x. In this case, f(x) = x, and we are evaluating the derivative at x = 17. The value of 1 indicates that the instantaneous rate of change of f(x) with respect to x at x = 17 is 1. This means that for a small change in x near x = 17, the corresponding change in f(x) is approximately equal to 1. The limit helps us understand the behavior of the function f(x) around the point x = 17 and provides information about the slope of the tangent line to the graph of f(x) at that point.

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Answer:

It was difficult reading the question, as written.  Check my assumptions.

Step-by-step explanation:

"five more than the product of two and a number,

decreased by seven"

---

Let the "number" be a.

We are told "five more than . ." means +5,

"the product of two and a number" means 2a,

"decreased by seven" mean -7

Put the statements together to obtain:

+5+2a-7

Simplify to 2a-2

Evaluate when a = 8:

2a-2

2(8)-2

16-2

= 14

Assuming max value is an integer. int max(int x, int y) { if (x > y){ return x; } else { return y; } }.The function call max(4, 7) is a valid function call.

A valid function call for the given function would be:
max(4, 7)
Here's the step-by-step explanation:
1. The function definition is:
int max(int x, int y) {
 if (x > y){
   return x;
 } else {
   return y;
 }
}
2. In the function call, we need to provide two integer values as arguments to the function. For example, max(4, 7).
3. In this case, the first argument is 4 and the second argument is 7.
4. The function compares the two arguments using the if statement. Since 4 is greater than 7, the condition x > y is true.
5. As a result, the function returns the value of x, which is 4.
Therefore, the function call max(4, 7) is a valid function call.

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