The box-and-whisker plot below represents some data set. What is the maximum value of the data?

The system stable with P(1)=1.7 and P(-1)=2.7. The correct answer is b.

To test the stability of a discrete control system with an open loop transfer function, we need to examine the roots of the characteristic equation, which is obtained by setting the denominator of the transfer function equal to zero.

The characteristic equation for the given transfer function G(z) is:

z^2 - 1.2z + 0.2 = 0

We can find the roots of this equation by factoring or using the quadratic formula. In this case, the roots are complex conjugates:

z = 0.6 + 0.4i

z = 0.6 - 0.4i

For a discrete control system, stability is determined by the location of the roots in the complex plane. If the magnitude of all the roots is less than 1, the system is stable. If any root has a magnitude greater than or equal to 1, the system is unstable.

In this case, the magnitude of the roots is less than 1, since:

|0.6 + 0.4i| = sqrt(0.6^2 + 0.4^2) ≈ 0.75

|0.6 - 0.4i| = sqrt(0.6^2 + 0.4^2) ≈ 0.75

Therefore, the system is stable.

The correct answer is:

b. Stable with P(1)=1.7 and P(-1)=2.7

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The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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Answer:

the balance will decreases by 500

-500 represents his account balance  

Step-by-step explanation:

B

C

Answer:

An apportionment is the allocation of a loss between all of the insurance companies that insure a piece of property. This allocation is used to determine a percentage of liability for each insurer.

I'm new here! Sorry if this didn't help

Answer:

53

Step-by-step explanation: all angles of a triangle add up to 180

Answer:

B

Step-by-step explanation:

V = Bh

Divide both sides by B

\(\dfrac{V}{B}=\dfrac{Bh}{B}\\\\\dfrac{V}{B}=h\\\)

To solve graphically this set of equations, we should first draw both lines and see the value of x at which the lines crosses

Both graphs can be drawn as follows

We can see that both graphs intersect at a negative value of x. With a more accurate graph, we can determine that both lines intersect at x=-2.

So the solution for this system of equation is x=-2.

The solutions to the equation \(tan^2(x) = (sec^2(x) - 1)\)are:

x = 2nπ or x = (2n+1) π/2, where n is an integer.

The power reducing formula for the tangent function is:

\(tan^2(x) = (sec^2(x) - 1)\)

Therefore, we can rewrite the equation as:

\((sec^2(x) - 1) = 0\)

Simplifying further, we get:

\(sec^2(x) = 1\)

Taking the square root of both sides, we get:

sec(x) = ±1

Recall that secant is the reciprocal of cosine, so we can write:

cos(x) = ±1

The cosine function can only take values between -1 and 1, so the only possible solutions are:

cos(x) = 1, which implies x = 2nπ (where n is an integer)

or

cos(x) = -1, which implies x = (2n+1)π/2 (where n is an integer).

The power reducing formula is a trigonometric identity that allows you to express a trigonometric function of a higher power in terms of a trigonometric function of a lower power.

It is most commonly used for reducing the power of the sine and cosine functions.

The power reducing formula for cosine is:

\(cos^2(x) = (1 + cos(2x))/2\)

The power reducing formula for sine is:

\(sin^2(x) = (1 - cos(2x))/2\)

These formulas can be derived using the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1.\)

By solving for either\(sin^2(x) or cos^2(x)\) in terms of the other, and then using the double angle formula for cosine\((cos(2x) = cos^2(x) - sin^2(x)),\) we can arrive at the power reducing formulas.

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Answer:

108

Step-by-step explanation:

36(3)=108

The correct answer is not on the answer choice.

Whichever answer is the closest to 108, choose it.

The purchase of a callable municipal revenue bond at a price of 120 with a 4.37% coupon and maturity of 18 years, followed by the issuer calling the bond at par two years later, is an example of an early redemption due to the issuer's exercise of the bond's call provision.

A callable bond gives the issuer the right to redeem the bond before its maturity date, typically at a predetermined price known as the call price or par value. In this case, the bond was purchased at a price of 120, which means the investor paid 120% of the bond's face value. The bond carries a 4.37% coupon rate, indicating the annual interest payment as a percentage of the bond's face value. After two years, the issuer exercises the call provision and redeems the bond at its par value, effectively ending the bond's term before the original maturity date. This early redemption provides the issuer with the opportunity to refinance the debt at potentially lower interest rates or for other financial reasons.

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Answer:

8 and 9.

Step-by-step explanation:

Let the two unknown numbers be a and b.

When added together, they equal 17. In other words:

a + b = 17.

The difference between five times the first number and three times the second number is 13. In other words:

5a - 3b = 13.

We have a system of equations. We can use substitution. From the first equation, we can derive a = 17 - b. Let's substitute this in:

5(17 - b) - 3b = 13

85 - 5b - 3b = 13

-8b = -72

b = 9

a = 17 - b.

a = 17 - 9 = 8.

Thus, the two numbers are 8 and 9.

A the equilibrium point is approximately x = 4.56.  b The total amount paid by consumers is $20.94. , c  the equilibrium point, producers are earning a total of $357.93 more from selling the good than they would be willing to sell it for.

a) To find the equilibrium point, we need to set the demand and supply functions equal to each other and solve for x:

D(x) = S(x)
(x - 5)2 = x2 + x + 3
x2 - 9x + 22 = 0

Using the quadratic formula, we get:

x = (9 ± sqrt(17))/2

Therefore, the equilibrium point is approximately x = 4.56.

b) To find the consumer surplus at the equilibrium point, we need to calculate the area between the demand curve and the equilibrium price (which is also the supply curve at the equilibrium point) up to the quantity demanded at that point.

First, we calculate the price at the equilibrium point by plugging in x = 4.56 into either the demand or supply function:

P = D(4.56) = S(4.56)
P = (4.56 - 5)2 = 4.56^2 + 4.56 + 3
P = 8.595

Next, we calculate the quantity demanded at the equilibrium point by plugging in the price we just found into the demand function:

Q = D(8.595)
Q = (8.595 - 5)2
Q = 12.098

Now we can calculate the consumer surplus by finding the area between the demand curve and the price line up to Q = 12.098:

Consumer Surplus = 1/2 * (8.595 - 5) * (12.098 - 0)
Consumer Surplus = $20.94

This means that at the equilibrium point, consumers are willing to pay a total of $20.94 more for the good than they actually have to pay.

c) To find the producer surplus at the equilibrium point, we need to calculate the area between the supply curve and the equilibrium price up to the quantity supplied at that point.

Using the price we calculated earlier (P = $8.595), we can find the quantity supplied at the equilibrium point by plugging it into the supply function:

Q = S(8.595)
Q = 8.595^2 + 8.595 + 3
Q = 83.846

Now we can calculate the producer surplus by finding the area between the supply curve and the price line up to Q = 83.846:

Producer Surplus = 1/2 * (8.595 - 0) * (83.846 - 0)
Producer Surplus = $357.93

This means that at the equilibrium point, producers are earning a total of $357.93 more from selling the good than they would be willing to sell it for.

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The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."

A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.

If the minimum payment was not made by the due date, Penalty APR would be applied.

But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.

Therefore,

The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.

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The expression 4× 4 × 5 × 10 = 800 in the field of math.

Algebra is a branch of mathematics that is used to manipulate symbols and equations in order to solve problems. Algebra helps to solve problems involving unknown quantities and to develop relationships between different variables. It is a powerful tool that can be used to solve and analyze a variety of mathematical problems and equations.

Algebra can be used to solve equations, simplify expressions, and find solutions to linear and quadratic equations. Through algebra, we can also find the slope of a line, the area of a triangle, and the volume of a cube. Algebra is an invaluable tool that is useful in many areas of mathematics and science.

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Answer:

y = a - k

Step-by-step explanation:

k = a - y

=> k + y = a

=> y = a - k

Understand What?

◑︿◐::>_<::

Answer: 42.308%

Step-by-step explanation:

(1)Laurent series expansion for $z$ in the annulus $0 < |z| < 1$:\(\( \frac{1}{{z^2 - z}} \):\[\frac{1}{{z^2 - z}} = \frac{1}{z(z-1)} = \frac{A}{z} + \frac{B}{z-1} = \frac{1}{z} - \frac{1}{z-1}\]\)

(2)Laurent series expansion for $z$ in the annulus $1 < |z| < \infty$:

\(\( \frac{{z+1}}{{z-1}} \):\[\frac{{z+1}}{{z-1}} = 1 + \frac{2}{z-1}\]\)

(3)Laurent series expansion for $z$ in the annulus $1 < |z| < 2$:\(\( \frac{1}{{(z^2 - 1)(z^2 - 4)}} \):\[\frac{1}{{(z^2 - 1)(z^2 - 4)}} = \frac{{A}}{{z+1}} + \frac{{B}}{{z-1}} + \frac{{C}}{{z+2}} + \frac{{D}}{{z-2}}\]\)

What are Laurent series expansions?

Laurent series expansions are a way to represent a complex function as an infinite series in the complex plane. They are a generalization of Taylor series expansions, allowing for both positive and negative powers of the variable.

A Laurent series expansion of a function f(z) around a point z = a is given by:

f(z) = ∑[n = -∞ to ∞] cn (z - a)^n

Here, cn represents the coefficients of the series, and (z - a)^n represents the powers of the variable centered at a.

(1) For the function $\frac{1}{z^2 - z}$:

The function has a simple pole at $z = 0$ and a removable singularity at $z = 1$.

Laurent series expansion for $z$ in the annulus $0 < |z| < 1$:\(\( \frac{1}{{z^2 - z}} \):\[\frac{1}{{z^2 - z}} = \frac{1}{z(z-1)} = \frac{A}{z} + \frac{B}{z-1} = \frac{1}{z} - \frac{1}{z-1}\]\)

(2) For the function $\frac{z + 1}{z - 1}$:

The function has a simple pole at $z = 1$ and a removable singularity at $z = -1$.

Laurent series expansion for $z$ in the annulus $1 < |z| < \infty$:

\(\( \frac{{z+1}}{{z-1}} \):\[\frac{{z+1}}{{z-1}} = 1 + \frac{2}{z-1}\]\)

(3) For the function $\frac{1}{{(z^2 - 1)(z^2 - 4)}}$:

The function has simple poles at $z = \pm 1$ and $z = \pm 2$.

Laurent series expansion for $z$ in the annulus $1 < |z| < 2$:\(\( \frac{1}{{(z^2 - 1)(z^2 - 4)}} \):\[\frac{1}{{(z^2 - 1)(z^2 - 4)}} = \frac{{A}}{{z+1}} + \frac{{B}}{{z-1}} + \frac{{C}}{{z+2}} + \frac{{D}}{{z-2}}\]\)

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Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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Answer:

10 m/s

Step-by-step explanation:

Based on the graph, at 15 seconds, Runner A had a speed of approximately 10 m/s.

The four basic right that were included in the first amendment are Freedom of speech , Freedom of religion , Freedom of press and Freedom of assembly .

The First Amendment of the U.S. Constitution guarantees the following four basic rights:

(i) Freedom of Speech: This includes the right to express oneself freely, whether through oral or written communication.

(ii) Freedom of Religion: This protects an individual's right to practice their own religion or to not have a religion at all, without government interference.

(iii) Freedom of the Press: This protects the right of the media to publish and report the news without government censorship or restraint.

(iv) Freedom of Assembly: This allows individuals to gather and associate with others, including the right to form and participate in organizations and protest movements.

The given question is incomplete , the complete question is

The First Amendment include four basic right or freedom. What are they ?

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Answer:

I think [(-4)^4]^5, but I'm not completely sure

Step-by-step explanation:

1.0995116e+12 greater than -4.7223665e+21

[(-4)^4]^5=1.0995116e+12

-[(4^12)^3=-4.7223665e+21

Even the exponent of a negative number is always positive so the number  [(-4)⁴]⁵ will be greater than -[(4¹²)³.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

If the exponent of a negative number is odd then the results will also be negative but if it is even then the results will be positive.

For example ;

(-2)³ = -8 and (-2)⁴ =  +16

So,

[(-4)⁴]⁵ in this (-4)⁴ = (4)⁴

So,

[(-4)⁴]⁵ ⇒  Positive number

Now,

-[(4¹²)³ ⇒  Negative number

Since positive number > negative number so [(-4)⁴]⁵ > -[(4¹²)³.

Hence "The number  [(-4)⁴]⁵ will be greater than -[(4¹²)³".

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Answer: 21 quarters and 2 nickels.

Step-by-step explanation: $0.25(one quarter) x 21 = $5.25. $0.05(one nickel) x 2 = $0.10. $5.25 + $0.10= $5.35.

Answer:

B

Step-by-step explanation:

I used the graphing calculator on desmos

Answer:

30+6p

Step-by-step explanation:

6 times p + 6times5

6p+30

Answer:

E. None of the above

Step-by-step explanation:

We know that 1/8 is the same as 1÷8 Then using Long Division for divided by 8 gives us 0.125

The table of ordered pairs is completed below

Here is the completed table and plotted points:

Point x y (x,y)

A 4 9 (4,9)

B 6 3 (6,3)

C 1 3 (1,3)

D 8 7 (8,7)

E 8 9 (8,9)

To plot these ordered pairs on a coordinate plane, we need to draw the x and y axes, and label the units on each axis.

Then we can plot each point by starting at the origin (0,0) and moving horizontally (to the right if x is positive, or to the left if x is negative) and vertically (up if y is positive, or down if y is negative) to the corresponding point.

The points plotted on the coordinate plane are attached

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Complete the table. Then, plot the ordered pairs on the coordinate plane. Make sure to label each point with its corresponding letter.

              x                y       (x, y)

A            4                9

B            6                3

C            1                3

D            8                7

E             8                9

The volume of the given solid enclosed by the paraboloids y = x2 + z2andy = 72 − x2 − z2 is 10368 cubic units.

Using a triple integral, we will integrate over the region of the xz-plane that is enclosed by the paraboloids.

The limits of integration for x and z can be found by solving the two equations for x^2 + z^2:

$x^2 + z^2 = y = x^2 + z^2 + 72 - x^2 - z^2$

$x^2 + z^2 = 36$

Therefore, the limits of integration for x and z are from -6 to 6.

The limits of integration for y are from the equation of the lower paraboloid $y = x^2 + z^2$ to the equation of the upper paraboloid $y = 72 - x^2 - z^2$.

Therefore, the limits of integration for y are from $x^2 + z^2$ to $72 - x^2 - z^2$.

The triple integral for the volume of the solid is:

$\iiint_V dV = \int_{-6}^{6} \int_{-6}^{6} \int_{x^2+z^2}^{72-x^2-z^2} dy dz dx$

Integrating with respect to y:

$\int_{x^2+z^2}^{72-x^2-z^2} dy = 72 - 2(x^2 + z^2)$

Substituting this into the triple integral gives:

$\iiint_V dV = \int_{-6}^{6} \int_{-6}^{6} (72 - 2(x^2 + z^2)) dz dx$

Integrate with respect to z:

$\int_{-6}^{6} (72 - 2(x^2 + z^2)) dz = 72(12) - 4x^2(6) = 864 - 24x^2$

Integrate with respect to x:

$\int_{-6}^{6} (864 - 24x^2) dx = 2(864)(6) - 2\int_{0}^{6} (24x^2) dx = 10368$

Therefore, the volume of the solid enclosed by the paraboloids $y = x^2 + z^2$ and $y = 72 - x^2 - z^2$ is 10368 cubic units.

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the answer of all the 5 expressions is given as : 0, 14, 49, -49, -14 respectively.

What is mathematic expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here the given expression are :

1)  |-7| - 7 :

now, here considering the modulus value of -7 as 7 that is positive only :

 |-7| - 7 = 7-7 = 0

2) 2|-7| = 2x 7

   2|-7| = 14

3) (-7)² = -7 x -7 = 49

4) -7² = -(7 x 7) = -49

5) -7 -|-7| = -7 - 7 = -14

it should be noted that we have considered only positive value of modulus function only.

Therefore, the answer of all the 5 expressions is given above.

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