Consider the Z transform below. Determine all possible sequences that lead to this transform, depending on the convergence domain. Determine which of them (if any) has a Discrete Time Fourier Transform, and, if there is one, write down its expression. A. X(z) = z^-99/(z + a)^3(z+b)(z+c)
a=19 ; b= -2 ; c=4

Answer:

a)

Step-by-step explanation:

additions do not work in general that way when we consider a mixture of positive and negative numbers.

e.g.

x = 3, y = -5

|3 + -5| >= |3| + |-5|

|-2| >= 3 + 5

2 >= 8

is definitely not true.

so, for positive/negative number mixtures a) is wrong.

b) works because

if x >= y, then |x - y| >= |x| - |y|. equal when x and y > 0. larger when x and/or y < 0. correct

if x < y, then |x - y| >= |x| - |y|. larger when x and y > 0.

equal when x and/or y < 0.

c) and d) work because the signs don't change anything. either the result is positive anyway, or if negative just gets converted to the positive result.

Answer:

This is your answer.

Step-by-step explanation:

There are different kinds of angles:

Angles below 90= Acute

90= Right

91–179= Obtuse

180= Straight Angle

181–359= Reflex Angle

360= Complete Angle or Circle.

Because 80 degrees is less than 90 degrees, Angle ABC is an acute angle.

As the derivation is symmetric in u and v. So,

Let u=

−1/3+5√6/36 and v=

−1/3−5√6/36

While for f(x) =0, the roots are

x₁=u+v

x₂=ωu+ω²v

x₃=ω²u+ωv

where ω=−1/2+i√(3)/2, so here x₁ is the real root for the function f(x)=0, and x₂ and x₃ are a pair of complex conjugate roots.

Hence, f(x)=6(x−x₁)(x−x₂)(x−x₃)

and 12x⁵+6x³+8x²=12x²(x−x₁)(x−x₂)(x−x₃)

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Answer:

Step-by-step explanation:

Let the width of the margins as x.

So, we subtract 'x' width on each side of the paper.

So, length = 26-x-x= 26-2 x

Width = 27-x-x=27-2 x

Now, it is given printed area is 360

We can set up equation using length x width = Area

(26-2 x)(27-2 x) = 360

Multiply the left side using FOIL method,

702 -52  x-54 x+4 x^2 =360

Combine like terms

702-106x+4x^2=360

Subtract both sides 360

4x^2-106x+342 =0

Let's divide both sides by 2 to simplify

2x^2 -53x+171=0

Let's use quadratic formula to solve.

I'll upload the file for this.

There are two possible values for x.

Approximately x= 22.46 , x=3.76

Here x=3.76 works b

The distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

Speed = 72 km/h

time = 45 mins = 45/60 = 0.75 hours

We know,

Distance = Speed×time

Distance = 72(km/h)×0.75(h)

Distance = 54 km

Thus, the distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.

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Answer: 8.12

Step-by-step explanation:

Answer:

43 m

Step-by-step explanation:

We measure the depth of the dive as the distance beneath the surface of the water.  If Chris goes 30 m below the surface and Michelle 13 m further down, then Michelle's position will be 43 m.

The dosage at which the resulting blood pressure is maximized is x at 0.2 and the maximum dosage is 0.0008.

In the question,

The function is \(B(x) = 0. 06x^2 - 0. 2x^3\)

To find the maximum or minimum, take the derivative and set it equal to zero.

⇒ \(B'(x) = 2(0. 06)x - 3(0. 2)x^{2}\)

Setting it equal to zero, we get

⇒ \(0.12x - 0.6x^{2}=0\)

⇒ 0.6x (0.2-x) = 0

⇒ x = 0 or x = 0.2

Now substitute x = 0.2 in B(x), we get

⇒ \(B(0.2) = 0. 06(0.2)^{2} - 0. 2(0.2)^{3}\)

⇒ B(0.2) = 0.0024 - 0.0016

⇒ B(0.2) = 0.0008

To know B(0.2) is maximum, let us find the values for x = 1 and x = 0.01.

For x = 1,

⇒ \(B(1) = 0. 06(1)^{2} - 0. 2(1)^{3}\)

⇒ B(1) = 0.06-0.2

⇒ B(1) = -1.04

For x = 0.01,

⇒ \(B(0.01) = 0. 06(0.01)^{2} - 0. 2(0.01)^{3}\)

⇒ B(0.01) = 0.000006 - 0.0000002

⇒ B(0.01) = 0.0000058

Thus, x = 0.2 is the maximum.

Hence we can conclude that the dosage at which the resulting blood pressure is maximized is x at 0.2 and the maximum dosage is 0.0008.

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cross multiply

Answer:

Step-by-step explanation:

Precision is defined as the ratio of true positives (TP) to the total predicted positives (TP + FP). In this case, the confusion matrix shows 46 TP and 4 FP, so the precision can be calculated as:

precision = TP / (TP + FP) = 46 / (46 + 4) = 0.92

Rounding to 2 decimal places, the precision ratio is 0.92.

Answer:

The population will be 14708

Step-by-step explanation:

formula

A = P (1+r)^t

Initial population = P = 13000

Growth rate = r = 2.5% = 0.025

Number of years = t  = 5 years.

A = 13000 (1+.025)^5  = 14708

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Answer:

helloo ur answer is 14708

Step-by-step explanation:

Initial population = P = 13000

Growth rate = r = 2.5% = 0.025

Number of years = t  = 5 years.

The population after 5 years is given by:
a=p(1=r)
q=13000(1+0.025^5)
which is equal to

14708 uwu
give brainlest if u want

The stage at which a company outlines the general characteristics of the types of products it plans to develop is the concept development stage.

To outline the types of products they will develop, companies often engage in various activities. They may conduct market surveys, analyze competitor offerings, and gather feedback from potential customers. This information helps them identify market gaps and determine the unique value proposition their product can offer.

Moreover, during this stage, companies may create prototypes or mock-ups of the product to visualize its physical or digital form. This allows them to assess the feasibility, practicality, and potential market acceptance of their ideas. Iterative design processes, such as user testing and feedback loops, can further refine the product concept.

The outcome of the concept development stage is a comprehensive product concept that serves as a foundation for subsequent stages. This concept outlines the core features, benefits, and unique selling points of the new product. It also provides guidance for the subsequent stages of the new product development process, such as product design, testing, and commercialization.

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True, electronic encyclopedias are characterized by fast and easy search for information.

It is true that electronic encyclopedias are characterized by fast and easy search capabilities. Unlike traditional print encyclopedias, electronic encyclopedias provide users with the convenience of instant access to vast amounts of information at their fingertips. With just a few clicks or keystrokes, users can search for specific topics or keywords and retrieve relevant information quickly.

Electronic encyclopedias often have search functionalities, indexes, and hyperlinks that enhance the ease and speed of information retrieval. Additionally, they may offer advanced features such as cross-references, multimedia content, and regular updates, further enriching the user experience.

Overall, the digital nature of electronic encyclopedias enables efficient and effortless searching, making them valuable resources for obtaining information.

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Answer: 8/15

Step-by-step explanation:

Vertical:     there are 4 shaded squares out of 5 total squares  →    4/5

Horizontal: there are 2 shaded squares out of 3 total squares  →    2/3

                                       \(\dfrac{4}{5}\times \dfrac{2}{3}\quad =\large\boxed{\dfrac{8}{15}}\)

Answer:

3

Step-by-step explanation:

8 people

3 slices per person

8 × 3 = 24

They need 24 slices.

1 pizza has 10 slices.

24/10 = 2.4

They need 2.4 pizzas. Since they need to order a whole number of pizzas, they need to order 3 pizzas.

Answer: 3

Answer:

32m²

Step-by-step explanation:

thanks me later ,correct me if I'm wrong

Answer: 73.1

Step-by-step explanation:

yea

For a z-score, We  transform a set of raw scores into a set of z-scores because we can compare scores from two different distributions i.e. D.

What exactly is the z-score?

The z-score is a statistical measurement that describes a value's relationship to the mean of a collection of values. The z-score formula is

z = (x - μ)/σ

x = data point

μ = mean

σ = standard deviation

Mean:- The sum of a collection of numbers divided by the total number of numbers in the set is known as the arithmetic mean, sometimes known as the arithmetic average or simply the mean or average. A survey, experiment, or observational research is usually used to create the collection.

Now,

As Z-scores are standardized scores that identify and define each score's exact placement within a distribution. We may conduct meaningful comparisons of z-scores across various samples or groups by converting our data (raw score).

hence,

          We transform a set of raw scores into a set of z-scores because we can compare scores from two different distributions.

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Answer:

Step-by-step explanation:

5,4,6

5×4=20 and 20×6=120

Answer:

So you just calculate the distance from.point 1 to 2 and then from 2 to 3 and then from 3 to 1. then sum them all up and you get the perimeter

The question is wrong because as the given angle is 90, the hypotenuse(11cm) should be greater than 16cm

Answer:

cant solve

Step-by-step explanation:

(sorry im not good at english) because there is no right triagle in which the length of the side of the right angle is greater than the length of the hypotenuse.

The sequence of the energy conversion is;  Kinetic → electrical → light Option A

From the first law of thermodynamics, we know that energy can neither be created nor destroyed but it can be converted from one form to the other. We have been told that in this case, the flashlight shown below has no batteries. Instead, it is operated by squeezing and letting go of the handle.

The letting go of the handle is kinetic energy which would lead to electrical energy that is then converted into the visible light energy.

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Answer:

She didn't change the direction of the sign

Step-by-step explanation:

When dividing both sides by a negative number in an inequality, you must change the sign.

Let's call Mindy's height "M". According to the problem, we know that:

Camille's height = 66 inches

Camille's height = 2 * Mindy's height - 20 inches

We can substitute the first equation into the second equation to solve for Mindy's height:

66 inches = 2 * M - 20 inches

We can add 20 inches to both sides of the equation to get:

66 inches + 20 inches = 2 * M

This gives us:

86 inches = 2 * M

To find Mindy's height, we can divide both sides of the equation by 2:

M = 86 inches / 2

So Mindy is 43 inches tall.

Answer:

Mindy is  46 inches

Step-by-step explanation:

Let m = Mindy's height

66 = 2m - 20  Add 20 to both sides

66 + 20 = 2m - 20 + 20

86 = 2m  Divide both sides by 2

\(\frac{86}{2}\) = \(\frac{2m}{2}\)

46 = m

Answer:

The line from point F to point C shows the diameter.

Step-by-step explanation:

The diameter of a circle is the measure from one side of it to the other, but it must run directly through the middle. The only line the runs directly through the middle of this circle is line FC, the line that goes from point F to point C.

I hope this helps!

Answer:

B. 0.78

Step-by-step explanation:

0.78 would be closest to the nearest hundredth, depending on where the decimal is depends on how many numbers that come after the decimal.

Therefore 0.078 would be to the nearest thousandths and 7.8 would be to the nearest tenths.

Answer:

B

Step-by-step explanation:

I recommend simply using a calculator. If you divide 7/9 you would bet 0.7 (repeating). Round to the hundredths and you would get 0.78

Answer:

R_4(x) = e^c(x-a)^5/5!, where c is some value between x and a.

Step-by-step explanation:

According to the Taylor remainder theorem, the maximum possible error in approximating the exponential function by its first 4 terms in the Taylor series is given by the expression R_4(x) = f^(5)(c)(x-a)^5/5!, where f(x) = e^x, a is the center of the Taylor series approximation, x is the value at which we want to evaluate the approximation, and c is some value between x and a. Since the 5th derivative of e^x is itself, we have f^(5)(c) = e^c. Therefore, the maximum possible error is given by R_4(x) = e^c(x-a)^5/5!, where c is some value between x and a.

the probability is 5/12

To calculate the probability that the sum of the values on two fair six-sided dice is a prime number, we need to determine the number of favorable outcomes (sums that are prime) and the total number of possible outcomes.

First, let's identify the prime numbers that can be obtained as the sum of two dice:

2 (1+1)

3 (1+2, 2+1)

5 (1+4, 2+3, 3+2, 4+1)

7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)

11 (5+6, 6+5)

There are 15 pairs whose sum is prime numbers that can be obtained as the sum of two dice.

Next, let's calculate the total number of possible outcomes when throwing two six-sided dice. Each die has 6 possible outcomes, so the total number of outcomes is 6 * 6 = 36.

Therefore, the probability that the sum of the values on two fair six-sided dice is a prime number is:

Number of favorable outcomes / Total number of possible outcomes

= 15 / 36

= 5/12

Therefore, the probability is 5/12

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The statement that is true for any density curve is b) The total area under the curve is one.

A density curve represents a continuous probability distribution and provides information about the relative likelihood of different values occurring. It is important to understand the properties of density curves in statistics.

Option a) states that a density curve is symmetric. While many density curves, such as the normal distribution, are symmetric, it is not a requirement for all density curves. There are asymmetric density curves, such as skewed distributions.

Option c) suggests that a density curve must either steadily rise or steadily fall, but not both. This statement is incorrect because density curves can have various shapes, including those that rise, fall, or have multiple peaks.

Option d) claims that a density curve has all of these properties. However, this is not true since the requirement of symmetry and the restriction on the shape are not applicable to all density curves.

Option b) is the correct statement. The total area under any density curve must be equal to one. This property ensures that the curve represents a valid probability distribution, where the probabilities of all possible outcomes sum up to one.

In conclusion, option b) is the true statement for any density curve, as the total area under the curve always equals one.

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If an invertible symmetric n×n matrix A has a nonzero vector v in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th peroperties of the dot product, we can rewrite this equation as:
v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:
v . A v = 0
This equation can be further simplified using the properties of the dot product:
v . A v = (A v) . v = 0
From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which contradicts the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.
Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is orthogonal to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

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