List the first 6
multiples of 14m
Please explain I don’t understand

Answer:

0.27

Step-by-step explanation:

Answer: 0.27

Step-by-step explanation:

The solution to the initial value problem is:

y(t) = \(e^{(-t)}\)(1/2 cos(t) + 1/2 sin(t)) + (1/2) for 0 ≤ t < π and t ≥ 2π

y(t) = \(e^{(-t)}\)(π-2)/2)sin(t) + ((π+2)/2) + ((π-2)/2)t for π ≤ t < 2π.

To solve this initial value problem, we will use the method of undetermined coefficients to find a particular solution to the non-homogeneous differential equation. Then, we will combine the particular solution with the general solution to the homogeneous equation to get the complete solution.

Homogeneous equation:

y'' + 2y' + 2y = 0

Characteristic equation:

r² + 2r + 2 = 0

Solving for r using the quadratic formula:

r = (-2 ± √(4 - 8))/2

r = -1 ± i

General solution to the homogeneous equation:

y_h(t) = \(e^{(-t)}\)(c1 cos(t) + c2 sin(t))

Particular solution:

We have h(t) = 1 for 0 ≤ t < π and t ≥ 2π, and h(t) = π for π ≤ t < 2π. Since h(t) is not a solution to the homogeneous equation, we assume a particular solution of the form yp(t) = A for 0 ≤ t < π and t ≥ 2π, and yp(t) = Bt for π ≤ t < 2π.

Taking derivatives of yp(t):

yp'(t) = 0 for 0 ≤ t < π and t ≥ 2π, and yp'(t) = B for π ≤ t < 2π.

yp''(t) = 0 for all t.

Substituting into the differential equation:

yp''(t) + 2yp'(t) + 2yp(t) = h(t)

0 + 2B + 2A = 1 for 0 ≤ t < π and t ≥ 2π

0 + 2B + 2A = π for π ≤ t < 2π.

Solving for A and B:

A = 1/2 for 0 ≤ t < π and t ≥ 2π

A = (π-2)/2 for π ≤ t < 2π

B = -1/2 for 0 ≤ t < π and t ≥ 2π

B = (π+2)/2 for π ≤ t < 2π

Particular solution:

yp(t) = (1/2) for 0 ≤ t < π and t ≥ 2π

yp(t) = ((π-2)/2)t for π ≤ t < 2π.

Complete solution:

y(t) = yh(t) + yp(t)

y(t) = \(e^{(-t)}\)(c1 cos(t) + c2 sin(t)) + (1/2) for 0 ≤ t < π and t ≥ 2π

y(t) = \(e^{(-t)}\)(c1 cos(t) + c2 sin(t)) + ((π-2)/2)t + ((π+2)/2) for π ≤ t < 2π.

Using the initial conditions:

y(0) = 0 gives c1 = (1/2)

y'(0) = 1 gives c2 = 1/2

y(t) = \(e^{(-t)}\)(1/2 cos(t) + 1/2 sin(t)) + (1/2) for 0 ≤ t < π and t ≥ 2π

y(t) = \(e^{(-t)}\)(π-2)/2)sin(t) + ((π+2)/2) + ((π-2)/2)t for π ≤ t < 2π.

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Answer:

Correct so far.

The median score must be between positions 32 and 33 on the table.

The median score is 72.

Step-by-step explanation:

Correct so far.

The median score must be between positions 32 and 33 on the table.

The median score is 72.

The analysis involves solving optimization problems, graphing best response functions, identifying Nash equilibria, and considering the potential effects of a contract on effort levels

(a) To find the best response functions, we need to determine the effort choices that maximize each partner's payoff given the other partner's effort. This involves optimizing their payoffs by differentiating the utility functions with respect to their effort levels, setting the derivatives equal to zero, and solving for the effort choices. Drawing the best response functions involves plotting the effort choices for each partner as a function of the other partner's effort.

(b) The Nash equilibrium is reached when both partners are choosing their best responses simultaneously. It can be found by identifying the intersection point(s) of the best response functions.

(c) When there are negative synergies (b < 0), the best response functions and their graphical representation will differ from the previous case.

(d) Similar to part (b), the Nash equilibrium for the case with negative synergies is found by identifying the (s) intersection pointof the best response functions.

(e) In this case, where the partners can write a contract on effort levels to maximize the firm's revenue net of total effort costs, the chosen effort levels are likely to be different from the effort levels determined in parts (b) and (d). The contract allows the partners to coordinate their efforts more efficiently by aligning their choices with the overall revenue maximization objective, potentially resulting in higher or lower effort levels compared to the Nash equilibria, depending on the specific contract terms and their impact on synergies.

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I did not get Your Question Probably But the way I see it the answer is:

The equation of a circle with center (h, k) and radius r can be written as:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6). To find the radius, we can use the distance formula between the center and the given point (-√28, 3):

r = √((x₂ - x₁)^2 + (y₂ - y₁)^2)

Plugging in the values:

r = √((-√28 - 0)^2 + (3 - (-6))^2)

Simplifying:

r = √(28 + 81)

r = √109

Therefore, the equation of the circle with center (0, -6) and containing the point (-√28, 3) is:

(x - 0)^2 + (y + 6)^2 = (√109)^2

Simplifying further:

x^2 + (y + 6)^2 = 109

Answer:

The equation of the circle with center (0, -6) containing the point (-√28, 3) is x^2 + (y + 6)^2 = 109.

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is given by the formula:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6), which means that h = 0 and k = -6. We also know that the circle contains the point (-√28, 3), which means that this point is on the circle and satisfies the equation above.

To find the radius r, we can use the distance formula between the center of the circle and the given point:

r = sqrt((0 - (-√28))^2 + (-6 - 3)^2) = sqrt(28 + 81) = sqrt(109)

Substituting h, k, and r into the equation of the circle, we get:

x^2 + (y + 6)^2 = 109

Therefore, the equation of the circle is x^2 + (y + 6)^2 = 109.

Answer:

I believe its the third one, its makes a symmetrical line so that's my guess

Step-by-step explanation:

The rest don't make a line

Approximately 68% of the data in a normal distribution lies within one standard deviation from the mean according to the empirical rule.

According to the empirical rule, which applies to a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Specifically, 68.27% of the data falls within one standard deviation of the mean, which means that if the distribution is bell-shaped, the data is symmetrically distributed around the mean and most of the data is clustered within one standard deviation from the mean.

The empirical rule also states that approximately 95% of the data falls within two standard deviations of the mean, and about 99.7% of the data falls within three standard deviations of the mean.

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According to the question, the standard equation for the circle is \(x^{2} +y^{2} =r^{2}\) in which the points (x, y) are the circumference point and 'r' is the radius of the circle.

The given expression for the circle is shown below:

\(x^{2} +y^{2} -12x+6y-19=0\)

Bring same variable terms to one side and again re-write the expression:

\(x^{2} -12x+y^{2} +6y-19=0\)

Now, to do factors of the given expression add and subtract 36,9 on both the sides

\(x^{2} -12x+36+y^{2} +6y+9=19+36+9\)

Factors can be re-written as:

\((x-6)^{2} +(y+3)^{2}=64\)

Comparing the calculated equation for the circle with the standard equation, we circle

The center points as (6,-3) and radius as (r = 8).

Hence, the correct answer is Center(6,-3), r = 8.

What is circle?

The circle can be defined as a symmetrical shaped. It has more than one points and all are at the equidistant from the center.

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Answer:

B

Center (7, –5); r = 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5/6)(5/6) (-5/6)(5/6)

(5/6)(-5/6) (-5/6)(-5/6)  they  are they same but  you can also change them  and they will  still be the  same just backwords

Hope that helps

The counterclockwise circulation of F is 99

The flux F across C is -99

Define the area of integration

C: Triangle bounded by

x = 0, y = 0 , y = x

\(0\leq x\leq 3,0\leq y\leq x\)

Applying Green's Theorem for counterclockwise circulation

\(F=y^2-6x^2i+6x^2+y^2j\)

\(I=\int\limits_C P(x,y)dx+Q(x,y)dy=\int\limits\int\limits_D(\frac{dQ}{dx}-\frac{dP}{dy} )dA\)

\(p(x,y)=y^2-6x^2---- > \frac{dP}{dy}=2y\\ \\Q(x,y)=6x^2+y^2---- > \frac{dQ}{dx}=12x\\ \\I=\int\limits\int\limits_D 12x -2y dA\)

Calculate the integral. (With respect to the x axis)

\(I=\int\limits^3_0 \int\limits^x_0 {12x}-2y \, dydx\\ \\I=\int\limits^3_0 {12x}-y^2|^x_0 \, dx \\\\I=\int\limits^3_0 11x^2\, dx\\\\I=\frac{11x^3}{3}|^3_0\\ \\I=99\)

Applying Green's Theorem for flux of the field

\(F=y^2-6x^2i+6x^2+y^2j\)

\(\int\limits\int\limits_D(\frac{dQ}{dx}+\frac{dP}{dy} )dA\)   the flux across the C

\(p(x,y)=y^2-6x^2---- > \frac{dP}{dx}=-12x\\ \\Q(x,y)=6x^2+y^2---- > \frac{dQ}{dy}=2y\\ \\I=\int\limits\int\limits_D 2y-12x dA\)

Calculate the integral. (With respect to the x axis)

\(I=\int\limits^3_0 \int\limits^x_0 {2y}-12x \, dydx\\ \\I=\int\limits^3_0 y^2-12xy|^x_0 \, dx \\\\I=\int\limits^3_0- 11x^2\, dx\\\\I=-\frac{11x^3}{3}|^3_0\\ \\I=-99\)

The counterclockwise circulation of F is 99

The flux F across C is -99

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The given question is incomplete, So i take similar question:

Use Green's theorem to find the counterclockwise circulation and outward flux for the field\(F=(y^2 - 6x^2) i + (6x^2 + y^2) j\)  and curve C: the triangle bounded by y=0, x=3 and y=x. What is the flux and circulation?

Answer:

y² = 7

Step-by-step explanation:

Answer:

(12, - 1)

Step-by-step explanation:

x - 2y = 14 ......... (1)

x + 3y = 9 ......... (2)

(2) - (1)

(x - x) + (3y - ( - 2y)) = 9 - 14

5y = - 5 ⇒ y = - 1

x + 3( - 1) = 9 ⇒ x = 12

(12, - 1)

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

Answer:

Step-by-step explanation:

To build a sequence, you have to create a rule. For example, if the rule is +2, then you add 2 to 10 to get 12, and then you add 2 to 12 to get 14, and so on. Your sequence would then be 10, 12, 14, 16, 18.

Answer:

see explanation

Step-by-step explanation:

An ordered pair is a set of coordinates (x, y )

This can be o point on a graph or the solution to a system of equations or values from a table

Answer: It's a point on a graph (y,x)

Step-by-step explanation:

The area of the shaded region enclosed by the given functions is 18 square units.

The functions given in the question are y = x, y = 1 and y = (1/36)x².

The shaded region is enclosed by these functions.

We need to find the area of the shaded region.

Using integration, we can find the area enclosed by the curves.

At x = 0, the parabola and line intersect.

Therefore, we have to integrate for the intersection points on the left and right of x = 0.

Area enclosed by the curves y = x, y = 1 and y = (1/36)x² is given by the integral:

∫(0 to 6) [(1/36)x² - x + 1] dx + ∫(-6 to 0) [(1/36)x² + x + 1] dx

= ∫(0 to 6) [(1/36)x² - x + 1] dx + ∫(0 to 6) [(1/36)x² - x + 1] dx {taking x = -x' in second integral}= 2∫(0 to 6) [(1/36)x² - x + 1] dx = (2/36)∫(0 to 6) x² dx - 2∫(0 to 6) x dx + 2∫(0 to 6) 1 dx

= (2/36) [(1/3)x³]0 to 6 - 2 [(1/2)x²]0 to 6 + 2 [x]0 to 6

= (1/54) [6³ - 0] - 2 [6² - 0] + 2 [6 - 0]

= 18 square units

The area of the shaded region enclosed by the given functions is 18 square units.

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Answer:

Length = 20 feet

Width = 16 feet

Step-by-step explanation:

Given information:

Define the variables:

Substitute the defined variables and given perimeter into the formula for the perimeter of a rectangle.

\(\begin{aligned}\textsf{Perimeter of a rectangle}&=2(\sf width+length)\\\\\implies 72&=2(x+(x+4))\\72&=2(2x+4)\\72&=4x+8\\64&=4x\\x&=16\end{aligned}\)

Therefore the dimensions of the rectangle are:

Answer:

<acb=90°

inscribed angle from the diameter is 90°

Answer:

x = 129° ( linear pair then vertically opp angles)

Steps to solve:

2/3m = 1/2

~Multiply 3/2 to both sides

m = 3/4

Best of Luck!

Answer:

Una matriz hermitiana, o también llamada matriz hermítica, es una matriz cuadrada con números complejos que tiene la característica de ser igual a su traspuesta conjugada.

A=A^*  

Donde A^* es la matriz traspuesta conjugada de A.

Step-by-step explanation

Ejemplo de matriz hermitiana de orden 2×2

₍ 5.............  3+7i₎

₍3-7i .............2

₎

Ejemplo de matriz hermitiana de dimensión 3×3

(3............2-i......-5i)

(2+i............0.....9-5i)

(5i.........9+5i.....6)

The utility of bundle (4,6) for Mark, given the utility function U(x,y) = min{2x, 3y}, is 12.

the utility of bundle (4,8) for Mark is also 12.

For Rob's utility function U(x,y) = 3x + 2y, the utility of bundle (3,4) is 17.

The utility of bundle (4,6) for Mark, given the utility function U(x,y) = min{2x, 3y}, is 12. The utility is determined by taking the minimum value between 2 times the quantity of good x (2x) and 3 times the quantity of good y (3y). In this case, 2 times 4 is 8, and 3 times 6 is 18. Since the minimum value is 8, the utility of bundle (4,6) is 8.

Similarly, the utility of bundle (4,8) for Mark is 12. Again, we compare 2 times 4 (8) with 3 times 8 (24). The minimum value is 8, resulting in a utility of 8 for the bundle (4,8).

For the second part of the question, we'll now consider Rob's utility function: U(x,y) = 3x + 2y. The utility of bundle (3,4) for Rob can be calculated as follows: 3 times 3 (9) plus 2 times 4 (8), which equals 17. Therefore, the utility of bundle (3,4) for Rob is 17.

Indifference curves represent combinations of goods that yield the same level of utility for an individual. Since the utility function U(x,y) = 3x + 2y is a linear function, the indifference curve passing through the bundle (3,4) will be a straight line with a negative slope.

It implies that as one good increases, the other must decrease in a specific ratio to maintain the same level of utility. By plotting different bundles that yield the same utility level of 17, we can draw the indifference curve through the point (3,4).

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The greatest number of points that can lie in Quadrant ll is one.

Option A. is correct.

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

As per the given data:

Number of points in graph of f(x) = 14

Number of points in quadrant I = 6

f(x) is an odd function.

As f(x) is an odd function, it will have a rotational symmetry about the origin.

∴ f(-x) = -f(x)

Number of points in quadrant I = 6

All the points in the graph of f(x) in quadrant I will be reflected in

quadrant III.

Number of points in quadrant III = 6

Remaining points = 14 - (6 + 6) = 2

Hence, if all the remaining points of the graph of f(x) are in quadrant IV they will be reflected in quadrant II.

Points that can lie in quadrant ll = 1

Hence, the greatest number of points that can lie in Quadrant ll is one.

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The multiplied form of the Algebraic expression is 10x -0.8\(x^{2}\)

An algebraic expression is a mathematical statement that contains a combination of numbers, symbols, variables and mathematical operators.

These expressions may be linear, quadratic or polynomials and the numbers in front of each term is called coefficient while the symbols or letters are called variable

2x( 5 - 0.4x)

we multiply each term in the bracket by 2x

2x  x 5  - 2x x 0.4x = 10x - 0.8\(x^{2}\)

In conclusion, 2x(5 - 0.4x) reduces to 10x - 0.8\(x^{2}\)

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Answer:

the first one is 14

the second one is -14 (NEGATIVE not positive)

the third one is 67

Step-by-step explanation:

IM A F*U*C*K*I*N*G GENIUS

lm.ao

The unit rate is equal to 3 dollars per book.

The unit rate can be determined by dividing the total amount of money raised by the number of books sold.

In the context of the situation, the point (6, 18) means 6 books were sold to raise a total amount of $18.

In Mathematics, the unit rate is sometimes referred to as unit price and it can be defined as the price that is being charged by a seller for the sale of a single unit of product.

In order to determine the unit price, we would use the following mathematical expression;

Unit price = Total raised/Number of books sold

Unit price = 6/2 = 12/4 = 18/6 24/8

Unit price = 3 dollars per book.

In conclusion, we can reasonably infer and logically deduce that the point (2, 6) means 2 books were sold at Garfield Elementary to raise a total amount of $6.

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