{(2,-4),(3,-3),(4.-2),(3,-1),(2,0)}
Chris says that this relation represents a function jazzmyn says that it is not a function who do u agree with

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

Answer:

anong ka pong grade?

Step-by-step explanation:

matanong ko Lang!

Answer:

Reflection over y-axis

A'(5,-1)

L'(3,-2)

T(3,2)

Translation

A''(8,1)

L''(6,0)

T''(6,4)

Answer: 2.1

Step-by-step explanation:

The expected value of the winnings from the game is $2.1.

The payout probability distribution is given as:

Payout ($) 0 2 4 6 10

Probability 0.5 0.2 0.15 0.1 0.05

WE need to find the expected value of the winnings from the game.

The expected value is then calculated as:

E(x) = x P(x)

This gives

E(x) = 0 * 0.5 + 2 * 0.2 + 4 * 0.15 + 6 * 0.1 + 10 * 0.05

E(x) = 0 + 0.4 + 0.60 + 0.6 + 0.5

Evaluate the expression

E(x) = 2.1

Hence, the expected value of the winnings from the game is $2.1.

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ANSWER WITH STEPS:

Let's solve for x.

5x−10y=−5

Step 1: Add 10y to both sides.

5x−10y+10y=−5+10y

5x=10y−5

Step 2: Divide both sides by 5.

5x

5

=

10y−5

5

x=2y−1

The product is:

(7*10⁵)*(3*10²) = 2.1*10⁸

So the correct option is D

The quotient is:

(2*10⁵)/(4*10²) =  5*10²

So the correct option is B.

Here we want to get the product between numbers in scientific notation, the first one is:

a) (7*10⁵)*(3*10²)

We can rewrite this as:

(7*10⁵)*(3*10²) = (7*3)*(10⁵*10²) = (21)*(10⁵⁺²) = 21*10⁷

In scientific notation we can have only one digit at the left of the decimal point, so we can rewrite:

21*10⁷ = 2.1*10⁸

So the correct option is D.

b) Now the quotient is:

(2*10⁵)/(4*10²) = (2/4)*(10⁵*10²) = 0.5*10⁵⁻² = 0.5*10³

Again, we need to have a single digit in the left of the decimal point:

0.5*10³ = 5*10²

The correct option is B.

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\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)

The value of x is given as follows:

x = 24.

The measure of angle DFE is given as follows:

<DFE = 62º.

To obtain the measures, we consider that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angle measures for this problem are given as follows:

Hence the value of x is obtained as follows:

180 - 5x + 14 + 44 + 3x - 10 = 180

228 - 2x = 180

2x = 48

x = 24.

The measure of angle DFE is obtained as follows:

<DFE = 3(24) - 10

<DFE = 72 - 10

<DFE = 62º.

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9514 1404 393

Answer:

  ∠G ≅ ∠U

Step-by-step explanation:

G is the 3rd letter in the triangle name on the left side of the congruence statement.

U is the 3rd letter in the triangle name on the right side of the congruence statement.

  ∠G ≅ ∠U

_____

Corresponding parts are listed in the same order in congruence and similarity statements.

The value of k given that both points lie on a line passing through the origin is 48.

Mathematically, the slope of any straight line can be calculated by using this formula;

\(Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Since both points lie on a line which passes through the origin, we can logically deduce the following points:

Point (x, y) = (0, 0)

Substituting the given points into the formula, we have;

Slope, m = Δy/Δx

Slope, m = (-2 - 0)/(-12 - 0)

Slope, m = -2/-12

Slope, m = 1/6

At point (-12, -2) and (k, 8), we have:

1/6 = (8 - (-2))/(k - (-12))

1/6 = (8 + 2)/(k + 12)

1/6 = 10/(k + 12)

k + 12 = 10(6)

k + 12 = 60

k = 60 - 12

k = 48

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Answer:

total cost = 10 • months + 100

Step-by-step explanation:

The $100 application fee is extra, only needed to pay once. The $10 per month is multiplication. $10 • the number of months.

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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(a) The transfer function, H(s), which is the result of the Laplace transform of two sides of the differential equation also solution  for Y(s)/F(s), where Y(s), F(s) are transform of of y(t) and f(t).

7Y(s) + 12Y(s)S = F(s)

Y(s)/F(s) = 1 / (7 + 12S)

Therefore, the transfer function is:

H(s) = 1 / (7 + 12S)

To find the impulse response function, we take the inverse Laplace transform of H(s):

h(t) = L^-1 {H(s)} = L^-1 {1 / (7 + 12S)}

Using partial fraction decomposition, we can write:

1 / (7 + 12S) = (1/12) / (s + 7/12)

Therefore, the impulse response function is:

h(t) = (1/12) e^(-7/12 t)

(b) Following the same procedure as in part (a), we obtain:

H(s) = (1 / (2 + 17S))

To find the impulse response function, we take the inverse Laplace transform of H(s):

h(t) = L^-1 {H(s)} = L^-1 {1 / (2 + 17S)}

through partial fraction

1 / (2 + 17S) = (-1/15) / (s + 2/17) + (2/15) / (s + 1/2)

the impulse reverse function

h(t) = (-1/15) e^(-2/17 t) + (2/15) e^(-1/2 t)

(c) By using the same method used in a and b

H(s) = (24 + 5S) / (2 + 3S)

To find the impulse response function, we take the inverse Laplace transform of H(s):

h(t) = L^-1 {H(s)} = L^-1 {(24 + 5S) / (2 + 3S)}

Partial fraction decomposition can be used

(24 + 5S) / (2 + 3S) = (8/3) - (4/3) / (s + 2/3)

h(t) = (8/3) δ(t) - (4/3) e^(-2/3 t)

(d) by following the methods used above

H(s) = (30F + 60S + 4S^2) / (10 + 18S + (1/3)S^2 + 4S^3)

To find the impulse response function, we take the inverse Laplace transform of H(s). However, the algebraic manipulation required to obtain the inverse Laplace transform in this case is quite involved and not practical to carry out here.

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Answer:

-6

Step-by-step explanation:

Because two lines that are parallel have the same slope

The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

Part 1:

To construct a 99% confidence interval for the population proportion, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

where the margin of error is determined by the level of confidence and the standard error.

First, let's calculate the sample proportion:

Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)

Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)

Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:

Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)

Now, we can calculate the margin of error:

Margin of Error = Critical Value * Standard Error

The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).

Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)

Finally, we can construct the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Confidence Interval = 0.5066 ± 0.0350

Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)

Part 2:

The correct interpretation is:

C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.

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Answer:

3

Step-by-step explanation:

It depends on the denominator

For 3 where comparing 16 to 24

Of course its going to be 16

Hope this helps!

Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

The probability that the sample proportion surviving for at least 3 years will be less than 67% is of:

0.1131 = 11.31%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is given by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The proportion and the sample size are given as follows:

p = 0.73, n = 80.

Hence the mean and the standard error are given as follows:

The probability that the sample proportion surviving for at least 3 years will be less than 67% is the p-value of Z when X = 0.67, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (0.67 - 0.73)/0.0496

Z = -1.21

Z = -1.21 has a p-value of 0.1131.

Hence the probability is:

0.1131 = 11.31%.

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The graph of the equations 3x + 7y < 21,  x > 0, and  y > 0 are attached

The vertices are: (0, 0), (0, 3) and (7, 0) are identified in the graph

The regions that satisfy one or more inequalities can be seen when there are inequalities on a graph.

These inequalities are frequently linear and can be represented by straight line graphs.

To solve the inequalities, plot straight line graphs with either a solid line or a dashed line using the linear equations.

A solid line indicates that the line is present.

The line is not included if it is dotted.

The graphs for the equation is plotted and attached

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Answer:

$8.75

Step-by-step explanation:

The total cost is $52.50. And you got eight "items". So you would do $52.50 divided by 8. This would give you the cost of one item/ticket

Answer:

1003.4375

Step-by-step explanation:

16055/16 is 1003.4375

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

The greatest y-intercept c = 6

Step-by-step explanation:

we know that

        slope-intercept form y = mx +c

a) Given that  f(x) = \(6x + \frac{1}{6}\)

                       \(y = 6x + \frac{1}{6}\)

   comparing    y = mx +c

  slope of the line m = 6 and Y - intercept c= 1/6

b)    Given that  f(x) = \(6x -6\)

                        y = 6x -6

   comparing    y = mx +c

  slope of the line m = 6 and Y - intercept c= -6

c)

    Given that  f(x) = \(\frac{1}{6} x +6\)

                        y =  \(\frac{1}{6} x +6\)

   comparing    y = mx +c

  slope of the line m =  \(\frac{1}{6}\)  and Y - intercept c= 6 ( greatest intercept)

d)

 Given that  6 k(x) = x

                     k(x) = \(\frac{1}{6} x\)

                        y = \(\frac{1}{6} x\)

   comparing    y = m x +c

 The slope of the line m =\(\frac{1}{6}\)  and Y-intercept c=0

Final answer:-

The greatest y-intercept c = 6

Answer:

C. h(x)=1/6x+6

Step-by-step explanation:

The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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Answer:

(4, 2)

(5, 1.76)

(1.99, 2.59

Step-by-step explanation:

other dude is wrong dont let his explanation fool you because i acrtally got it wrong and it showe me

Mr. Lloyd could use his credit card to buy the TV. Therefore, option  A is the correct answer.

Using a credit card to make a purchase requires that the buyer have a credit limit that is large enough to cover the amount of the purchase. Mr. Lloyd does not have enough money in his bank account to pay for the television, so he would not be able to use a credit card to make the purchase.

Options B, C, and D are all viable options for Mr. Lloyd. He could save up money and pay cash for the television at a later date, or he could use his debit card to make the purchase when he has enough money in his bank account. He could also save money and use his debit card at a later date when he has enough money in his bank account.

Therefore, option  A is the correct answer.

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Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd?

A) He can use his credit card to buy the television now.

B) He can save money and pay cash for the television at a later date.

C) He can use his debit card to buy the television now.

D) He can save money and use his debit card to buy the television at a later date.

Answer:

D. all real numbers

Step-by-step explanation:

i think this is the answer sorry if you get it wrong.