903 randomly sampled registered voters from tampa, fl were asked if they thought workers who have illegally entered the us should be

Therefore , the solution of this problem is a)h(n) = { \(a^{0} +a^{1} +a^{2} +a^{3}\)} b)Poles : \(z^{3}\) = 0 => z =0,0,0 c)h(n) is causal .

A specific sort of singularity of a complex-valued function of a complex variable is referred to as a pole in the field of mathematics known as complex analysis. It is the most basic kind of singularity in a certain sense.

Here,

a) h(n) = \(\left \{ {{a^{n} , 0\leq n\leq 3 } \atop {0 , otherwise} \right.\)

=> h(n) = { \(a^{0} +a^{1} +a^{2} +a^{3}\)}

b) H(z) = ∑ h(n)\(z^{-n}\) = h(0)\(z^{0}\) + h(1)\(z^{-1}\)+h(2)\(z^{-2}\)+h(3)\(z^{-3}\)

=> \(a^{0}z^{0} +a^{1}z^{-1} +a^{2}z^{-2} +a^{3}z^{-3}\)

=> 1 + \(a^{1}z^{-1} +a^{2}z^{-2} +a^{3}z^{-3}\)

=> 1 +  a/z + \(a^{2}\)/\(z^{2}\)  +  \(a^{3}\)/\(z^{3}\)  

=>   ( \(z^{3}\)   + a\(z^{2}\) + \(a^{2}\)z + \(a^{3}\) ) / \(z^{3}\)

Poles : \(z^{3}\) = 0 => z =0,0,0

Zeroes:  \(z^{3}\)   + a\(z^{2}\) + \(a^{2}\)z + \(a^{3}\) = 0 => Roots of this equation will gives zeroes

c) h(n) is causal because h(n) ≠ 0 for n>0

h(n)  is stable because ∑h(n) ≠ ∞

Therefore , the solution of this problem is a)h(n) = { \(a^{0} +a^{1} +a^{2} +a^{3}\)} b)Poles : \(z^{3}\) = 0 => z =0,0,0 c)h(n) is causal .

To know more about poles , visit

https://brainly.com/question/5396344

#SPJ4

Answer:47%

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

200.52yd²

Step-by-step explanation:

To find the area of this figure we will take the areas of the square and half-circle and add them together.

The area of the square is 12yd*12yd, or 144yd²

The area of the circle is a little more complicated. First, we need to find the radius of the circle. Since the side of the square correlates to the side of the circle, then the diameter of the circle is 12, and thus, the radius is 6.
To find the area of a circle we use the equation πr². Plugging in 6, we get 36π. Since this is only a half circle though, we must divide our answer by 2, giving us 18π. Using 3.14 as π and multiplying that to 18, the area of the semicircle is 56.52yd².

All that's left now is to add the two areas together:

144yd²+56.52yd²=200.52yd²

The question isn't complete. This is just part of the question

So please send the whole question together.

Answer:

98 mins

Step-by-step explanation:

147.5 +x = 245.5

x = 245.5-147.5

x= 98 mins

Answer:

the conjecture is that the Nth term, where N=1, 2, 3, 4, … , is equal to

N * 15.  

Step-by-step explanation:

1st term 15 = 1 * 15

2nd term 30 = 2 * 15

3rd term 45 = 3 * 15

4th term 60 = 4 * 15

so the conjecture is that the Nth term, where N=1, 2, 3, 4, ..., is equal to

N * 15.  

The correct match of each dilation to its function is: j(x) = (1/2x)^2: vertical stretch, k(x) = 2x²: vertical compression, h(x) = (2x)²: horizontal compression, and g(x) = x²: no dilation, it is the parent function.

Each of the given functions is a dilation of the parent function f(x) = x^2, which means that they are obtained by stretching or compressing the graph of the parent function either vertically or horizontally.

- j(x) = (1/2x)^2: This function is a vertical stretch of the parent function, because the constant factor of 1/2 in front of the x causes the function to be stretched vertically by a factor of 2.

- k(x) = 2x²: This function is a vertical compression of the parent function, because the constant factor of 2 in front of the x^2 causes the function to be compressed vertically by a factor of 1/2.

- h(x) = (2x)²: This function is a horizontal compression of the parent function, because the constant factor of 2 inside the x^2 causes the function to be compressed horizontally by a factor of 1/2.

- g(x) = x²: This is the parent function, and it is not dilated in any way. Its graph is a parabola that opens upwards and has a vertex at the origin.

Thus, this is the correct match for the given scenario.

For more details regarding dilation, visit:

https://brainly.com/question/13176891

#SPJ1

Rounding to the nearest whole value, we get the estimated number of observations above 118 as 2940.

To determine the number of observations expected to be below a certain value using the 68-95-99.7 Rule, we need to find the area under the normal distribution curve up to that value.

For the first scenario:

Mean (μ) = 162

Standard deviation (σ) = 11

Value to evaluate (x) = 195

We want to find the area under the curve to the left of x = 195. This corresponds to the cumulative probability of a value being less than 195 in a normal distribution.

Using a standard normal distribution table or a calculator, we can find that the cumulative probability for x = 195 is approximately 0.961. This means that about 96.1% of the observations are expected to be below 195.

To find the number of observations, we multiply the cumulative probability by the total number of observations:

Number of observations = 0.961 * 2400 = 2306.4

Rounding to the nearest single observation, we get the estimated number of observations below 195 as 2306.

For the second scenario:

Mean (μ) = 137

Standard deviation (σ) = 19

Value to evaluate (x) = 118

We want to find the area under the curve to the right of x = 118. This corresponds to the cumulative probability of a value being greater than 118 in a normal distribution.

Using the same approach, we can find that the cumulative probability for x = 118 is approximately 0.735. This means that about 73.5% of the observations are expected to be above 118.

To find the number of observations, we multiply the cumulative probability by the total number of observations:

Number of observations = 0.735 * 4000 = 2940

learn more about whole value here

https://brainly.com/question/12086644

#SPJ11

The number of feasible solutions cannot exceed 64, as that is the total number of possible binary combinations for the variables.

The number of feasible solutions to an all-binary problem with 6 variables and 5 constraints cannot be any value that exceeds the total number of possible binary combinations for the variables.

In this case, we have 6 variables, and each variable can take on two possible values (0 or 1) since it's binary. Therefore, the total number of possible binary combinations for the 6 variables is \(2^6\) = 64.

Since the problem has 5 constraints, not all of these 64 combinations may be feasible solutions. Some combinations may violate one or more constraints. The actual number of feasible solutions will depend on the specific constraints and their relationships.

However, we can say that the number of feasible solutions cannot exceed 64, as that is the total number of possible binary combinations for the variables.

Learn more about feasible solutions here:

https://brainly.com/question/31524615

#SPJ11

Answer:

A: y=6x

B: A

Step-by-step explanation:

A: Rise over run

B: You can use the points to determine the answer, 6(2)=12 (2,12) 6(3)=18 (3,18)

Step-by-step explanation:

1. 2x+y=160

2. 4x+2y=300

times the first equation by 2

3. 4x+2y=320

which would mean 320=300

I don't think your equations are right

Answer: the system of equations has no solution.

Step-by-step explanation:

\(\displaystyle\\\left \{ {{2x+y=160\ \ (multiply\ both\ parts\ of\ the\ equation \ by\ 2)} \atop {4x+2y=300}} \right. \\\\\left \{ {{2x(2)}+y(2)=160(2) \atop {4x+2y=300}} \right. \\\\\left \{ {{4x+2y=320} \atop {4x+2y=300}} \right. \\\\320\neq 300\\Hence,\ the\ system \ of\ equations\ has\ no\ solution.\)

let the other angle be x degree

bigger angle = x +36°

According to the question,

x+36° + x° = 180°

=> 2x = 180–36

=> x = 144/2

=> x = 72°

Measure of the bigger angle = x + 36

= 72° + 36°

= 108°

Matrix row operations are defined as the process of switching, multiplying or adding the matrix rows to other rows of the same matrix. This is done to facilitate the matrix's operations and make it easy to find the solution to linear equations.

The original matrix is:

\(\[\left[\begin{array}{rr|r} 3 & 6 & 5 \\ 1 & -\frac{1}{4} & 2 \end{array}\right]\]\\\)

To exchange the first and second rows, we apply the row operation \(R_{1} \leftrightarrow R_{2}\). After performing this operation, the new matrix becomes:

\(\[\left[\begin{array}{rr|r} 1 & -\frac{1}{4} & 2 \\ 3 & 6 & 5 \end{array}\right]\]\)

Therefore, the correct new matrix after applying the indicated matrix row operation is:

\(\[\left[\begin{array}{rr|r} 1 & -\frac{1}{4} & 2 \\ 3 & 6 & 5 \end{array}\right]\]\).

To know more about matrix's operations visit:

https://brainly.com/question/30361226

#SPJ11

The number of mCi that remained after 22 hours is 0.00000238418

To answer question #5, we need to calculate the number of mCi that remained after 22 hours. Since we don't have the exact equation you used in Exploration 3.4.1, it would be helpful if you could provide the equation you derived for M(t) during that exploration. Once we have the equation, we can substitute t = 22 into it and solve for the remaining amount of mCi.

Let's assume the equation for M(t) is of the form M(t) = a * bˣ, where 'a' and 'b' are constants. In this case, we would substitute t = 22 into the equation and evaluate the expression to find the remaining amount of mCi after 22 hours.

For example, if the equation is M(t) = 10 * 0.5^t, then we substitute t = 22 into the equation:

M(22) = 10 * 0.5²² = 0.00000238418

Evaluating this expression, we get the answer for the remaining amount of mCi after 22 hours.

To know more about equation here

https://brainly.com/question/21835898

#SPJ4

Complete Question:

In Exploration 3.4.1 you worked with function patterns again and created a particular equation for M (t). What was your answer to #5 when you calculated the number of mCi that remained after 22 hours? (Round to the nearest thousandth)

Total cost in dollars of the meal, tax and tips is $18.75

Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.

given, cost of meal = $15 before tax and tip

After that $7% tax and $18% tip are included upon the cost of meal

Now, cost for tax = $ (7/100 × 15) = $1.05

cost for tip = $ (18/100 × 15) =$2.7

Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip

 Total cost = $18.75

To know more about Total cost visit:

brainly.com/question/2451168

#SPJ4

On a postsynaptic membrane, the opening of K+ ion channel induces an IPSP (Inhibitory Postsynaptic Potential).

The potential changes in a neuron after the receptor and ion channel activation is called synaptic potential. This potential can be either an Excitatory Postsynaptic Potential (EPSP) or an Inhibitory Postsynaptic Potential (IPSP).EPSP is a depolarizing potential that results from the opening of the Na+ ion channel. It causes a change in the potential of the neuron towards threshold level that may trigger an action potential.Ion channels and pumps in a postsynaptic neuron regulate the internal potential of the cell. In a typical postsynaptic cell, the resting potential (Vrest) is -70 mV, the threshold value is -55 mV, the reversal potential for Cl- ion (Ec) is -63 mV, the reversal potential for K+ ion (Ex) is -90 mV, and the reversal potential for Na+ ion (ENa) is 60 mV.The opening of Cl- ion channel leads to an inward flow of negative ions and thus results in hyperpolarization. The opening of K+ ion channel leads to an outward flow of K+ ions, and the membrane potential becomes more negative. Thus, it also results in hyperpolarization. The opening of a Na+ ion channel leads to inward flow of Na+ ions, which makes the cell more positive, and it is depolarization. Therefore, the opening of K+ ion channel leads to an IPSP, and it hyperpolarizes the neuron.

The postsynaptic potential can be either an Excitatory Postsynaptic Potential (EPSP) or an Inhibitory Postsynaptic Potential (IPSP). The opening of the K+ ion channel leads to an outward flow of K+ ions, which makes the cell more negative and hyperpolarizes it, leading to IPSP.

To learn more about postsynaptic membrane visit:

brainly.com/question/14969022

#SPJ11

When you flip two coins 28 times, the best prediction possible for the number of times both coins will land on heads is 7 times.

This can be explained with the following calculations:

When flipping a coin, the chance of getting heads or tails is 1/2 or 0.5.

If you flip two coins, the probability of getting two heads is calculated by multiplying the probability of getting heads on the first coin by the probability of getting heads on the second coin, which is (1/2) x (1/2) = 1/4 or 0.25 or 25%.

To calculate the expected number of times both coins will land on heads in 28 flips, we use the following formula:

Expected value = Probability x Total number of flips

Expected value = 0.25 x 28

Expected value = 7

Therefore, the best prediction possible for the number of times both coins will land on heads is 7 times.

It's important to note that this is only a prediction, and the actual number of times both coins land on heads could be more or less than 7.

This is because probabilities are based on chance, and chance outcomes can be unpredictable.

For similar question on probability.

https://brainly.com/question/29061226

#SPJ11

Answer:

Like radicals are those terms that are similar, just like like terms. From this concept we find that option A is correct. 4[∛(7x)] and ∛(7x) are like radicals.

Step-by-step explanation:

Mathematically, like radicals are just like like terms. For example,

x, 2x, -10x, , 7.3x are like terms because the power of x in each case is 1.

xy², -9xy², 13y²x are like terms because the total power of each expression is 3.

Similarly, like radicals are:

√2, -5√2, 1.1√2, etc.

Hence, from the given options, like radical to ∛(7x) is: 4[(7x)].

For more explanation, refer the following link:

https://brainly.com/question/11677568

#SPJ10

One number Answer: A. -16

Step-by-step explanation: To get the value that should fit into the 1st place, we need to get the relationship between the numbers in the series(known as 'common difference' denoted by 'd'). This number is added to the previous value to get the next, and is gotten by subtracting the previous number from the preceding one. In this case,

d=(38-29)=9, (29-20)=9, (11-2)=9

So, the missing number is gotten by subtracting 9(since we're reversing the order) i.e -7-(9)= -7-9 = -16

Hope it helps!

Answer:

Step-by-step explanation:

We are given the sequence

\(15, 29, 49, 75, 107\\15->29 = 14\\29 -> 49 = 20\\49->75 = 26\\75 -> 107 = 32\\14, 20, 26, 32\\14 -> 20= 6\\20 -> 26 = 6\\26 -> 32 = 6\\\\6, 6, 6\\6->6 = 0\)

Since we had to find the differences twice, it is a second degree polynomial

\(y = an^2 + bn + c\\plugging \: in \: n = 1, 2, 3...\\the \: sequence \: is \\a+b+c, 4a + 2b + c, 9a + 3b + c...\\the \: diff \: under \: is \\3a + b, 5a + b, 7a + b...\\the \: diff \: under \: is \\2a, 2a, 2a...\\so, \\2a = 6\\a = 3\\3(3) + b = 14\\b = 5\\\\a +b + c = 15\\3 + 5 + c = 15\\c = 7\\\)

so,

\(y = 3n^2 + 5n + 7\)

Answer:

1 to 2 is an example inches to 2 stuck etc

Answer:

3 1/2 inches is the answer

Answer:

The slope is m= 4 and the y intercept is b= 9

Step-by-step explanation:

The slope is found by using change in y over change in x, or rise over run. From the table, this means, how much does y change for every time x goes up. As you can see, every time x increases by one, y increases by 4. So that´s your slope. The y intercept is when the line crosses the y axis, where x=0. Because you already know the slope, and that when x is one, y is 13, all you have to do is to know that going backwards by one for x means going backwards by 4 for y, and 13-4 is 9.

Answer:

Step-by-step explanation:

The area of a trapezoid

A = 1/2(A+B)h

A=1/2(10.5+21.1)9.28

A=1/2(31.6)9.28

A = 293.248/2

A = 146.624

Answer:

The constant of proportionality is 70.

Step-by-step explanation:

The constant of proportionality in the equation d = 70t is K = 70.

The general equation of a straight line is -

y = mx + c

Given is the following equation -

d = 70t

We can write the given equation as -

d = 70t + 0

This is the equation of a straight line whose y - intercept [c] = 0 and its slope is m = 7. The slope of a line represents the constant of proportionality as we know that - m = x/y. Hence, the constant of proportionality in the given equation is 70.

Therefore, the constant of proportionality in the equation d = 70t is 70.

To solve more questions on constant of proportionality, visit the link below-

https://brainly.com/question/28280501

#SPJ2

The solution of the pairs of lines are as follows,
(1) Line 1 and line 2 are perpendicular to each other.
(2) Line 1 and line 3 are parallel to each other.
(3) Line 2 and line 3 are perpendicular to each other.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Calculate the slope of each line,

LIne 1
3y = 2x + 5
y = 2/3x + 5/3
Compared with the standard equation of line y = mx + c,

Slope m = 2/3
Similarly.
The slope of line 2 = -3/2
The slope of line 3 = 2/3

Now. properties of pair of lines state that the slope of parallel lines is equal and the slope of perpendicular lines are negative reciprocal of each other,
So
Slope of line 1 = slope of line 3
But,
The slope of line 2 is the negative reciprocal of the slope of lines 1 and 3.

Thus, the solution of the pair of lines has been shown above.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ1

Answer: Emily's in total journey is 15.045 kilometers.

Step-by-step explanation:

Given data,

Emily traveled a certain distance on a horse = 10.98 kilometers

Emily traveled a certain distance on a bike = 4.06 kilometers

The overall distance traveled by Emily on her horse and bike needs to be determined.

For "Total Distance" , we will use addition operation:

So, Total distance covered by Emily's journey is given by equal to

Emily traveled a certain distance on a horse + Emily traveled a certain distance on a bike

Let us assume,

Total distance covered by Emily's journey is represented by 'x'

Then we can write,

                          x = 10.981 kilometers + 4.064 kilometers

                          x = 15.045 kilometers

Therefore, Emily's in total journey is 15.045 kilometers.

Learn more about event correlation here: brainly.com/question/12008166

#SPJ9

The approximate value of ㏒(b) to the nearest hundredth is 1.23.

The other method to write exponents in mathematics is using logarithms. A number's base-based logarithm is equal to some other number. A logarithm performs exponentiation's exact opposite function. 

In Logarithms, ㏒ₐ(b) = ㏒(b)/ ㏒(a)

Given that

The two expressions below have the same value when rounded to the nearest hundredth

=> ㏒₅ (b) = ㏒₉ (48)  

As we know  ㏒ₐ(b) = ㏒(b)/ ㏒(a)

=> ㏒₅ (b) = ㏒(b)/㏒(5)

=> ㏒(b)/㏒(5) = ㏒₉ (48)  

=> ㏒(b) = ㏒₉ (48) ㏒(5)

=> ㏒(b) =  (1.7618)(0.6989)  

=> ㏒(b) = 1.23132202  

=> ㏒(b) = 1.23  

Therefore,

The approximate value of ㏒(b) to the nearest hundredth is 1.23.

Learn more about Logarithm problems at

https://brainly.com/question/30085872

#SPJ1

Answer:

------------

-------------

Answer:

it is D

Step-by-step explanation:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is  y = − 1 .  Horizontal Asymptote:  y = − 1

Given the equation of a line as shown below :

To determine the slope and the y - intercept of the line, compare the equation with straight line equation

After comparing the equation of a line

Therefore slope = -3 and y - intercept = -2