in the model selection process for arima-type models, the ultimate goal is to find an underlying model that multiple choice produces white noise forecast errors. none of the options are correct. leads to non-random errors. explains the dependent variable. models the nonlinear components in a time series.

The given differential equation is: dx/ dI = -kI Where k is dependent on the quality of the water.The intensity I(x) of light x m beneath the surface of the ocean satisfies the differential equation dxdI​=−kI, where k is dependent on the quality of the water.

At a particular location it is known that the intensity drops to half at 5 m depth. It is not possible for divers to work without artificial light when the intensity falls below 1/10 of the surface value. The given differential equation is:dx/dI = -kIThe above differential equation is of the form:dy/dx = -kyIntegrating both sides:∫dy/y = ∫-kdxln |y| = -kx + c |where c is the constant of integration.|Rearranging, we get:ln|y| = -kx + cTaking anti-log:|y| = e^-kx+cWhere c is the constant of integration.Now let's consider the particular case where the intensity drops to half at 5 m depth.Let the intensity at surface be I0.

Then the intensity at depth 5m is:I(5) = I0/2I0e^-5k = I0/2e^-5k = 1/2Taking natural logarithm on both sides:ln e^-5k = ln (1/2)-5k = ln (1/2)k = (1/5)ln 2On substituting the value of k, we have:|y| = e^-kx+c = e^(-(1/5)ln 2)x+c|Let the required depth be x meters from the surface. Then we have:|y| = e^(-(1/5)ln 2)x+cLet the intensity at this depth be I. Then we have:I = I0e^-kx= I0e^-[(1/5)ln 2]xTaking natural logarithm on both sides:ln I = ln I0 - (1/5)ln 2 × xAt the depth x, it is not possible for divers to work without artificial light when the intensity falls below 1/10 of the surface value.

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Answer:

c

Step-by-step explanation:

9514 1404 393

Answer:

  0.93

Step-by-step explanation:

Here's a way to get there:

  amount - 7%×amount

  = amount × (1 -7%)

  = amount × (1 -0.07)

  = amount × 0.93

The single multiplier you would use is 0.93.

Answer:

2

Step-by-step explanation:

Answer:

Solution given:

9x-2y=7

making it in a form of y=mx+c

9x-7=2y

y=9/2x -7/2

Comparing above equation with y=mx+c

we get

m=9/2

Since it is passes parallel to (5,-3)

slope will be same

now

Equation of line

y-y1=m(x-x1)

y+3=9/2(x-5)

y=9/2x-5/2-3

y=9/2 x-11/2 is a required equation.

Answer:

B:-(-2,6) is correct answer 100%

For John to turn a profit each year, he needs to sell at least 61 dollhouses.

The break-even threshold is reached when overall costs and total revenues are equal, leaving your small firm with no net benefit or loss. In other words, you've achieved the point in production where the revenue from a product equals the cost of manufacture.

Given that, John makes and sells doll houses. If he has a cost of $2,000 per year plus a cost of $27 per dollhouse and he sells the dollhouse at the cost of 60$.

at break-even point

Total cost  = total revenue

Let x be the number of dollhouses sold to reach the break-even point.

Thus, 2000 + 27x = 60x

x = 60.60

Therefore, John has to sell at least 61 dollhouses to make a profit each year.

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Quantrell bought a television set on sale for his apartment for $1,500, but he will spread the payments over two years. The store charges 18 percent interest for financing, and his payments will be $74.89. Hence, he will pay $1650.22 in interest over the life of the loan.

How much will he pay in interest over the life of the loan?He bought a television set on sale for $1500 that he will spread the payments over two years.The total amount he will pay in two years for the TV is obtained by adding up the cost of the TV set and the interest over the life of the loan. To compute the interest, we will first find the total payment he will make in two years.

To find the total payment, multiply the number of payments by the amount of each payment. Then,Total payment = Number of payments × Amount of each paymentSubstituting the values of number of payments and amount of each payment, we get:Total payment = 2 × $74.89Total payment = $149.78Now, let's calculate the interest on the loan,Interest = Total payment − Cost of the TV setInterest = $149.78 − $1500Interest = $1650.22

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Answer:

The slope is Negative three-halves and contains the point (0, 2).

Step-by-step explanation:

(-3,-4)(3,0)

M= -4/-6 = 2/3

⊥M = -3/2

0 = 2/3(3) + B

B=2

Answer: 5.1 cm² is the correct answer.

Step-by-step explanation:

to find the area of the shaded region. We want to find the volume of the sector and minus the. Now if you excuse me, the area of the sector minus the area of the triangle. Okay, so let's start with the sector. The area of the sector would be 80° out of 360 times the area of a circle, which is pi times the radius which is five squared. And it will subtract the area of the triangle. All right. Since it's an isosceles triangle, we could turn this into two right triangles. And This would be a 40° angle. And we can find X. Which would be the base of the triangle. Using silk Ayatollah using trig. We would want to find the opposite of 40° and we have the hypotenuse, So opposite and hypotenuse is signed. So we can say the sign of 40° is equal to opposite over hypotenuse and five times the sine of 40 equals double that. And we've got the full base of the triangle. So The area of the triangle would be 1/2 A base. If we double it would be 10 signed 40. And then times the height which we again could use um I'll call it why? We could use Kassian. We could say the Kassian of 40° equals Y over five. So 5 cosine, 40 is equal to the height of the triangle. Okay, so putting this all together, I'm gonna do it all at once. Right into Desormeaux's As we see it here, 80 out of 360 tons. Spy five squared. And then we're going to subtract The area of the triangle, which is 1/2 times 10. Sign 40. Make sure you're in degree mode, right? And then we multiply that by five co sign 40 mm. Hmm. And we'll round to the nearest 10th to get 5.1.

Answer:

28

Step-by-step explanation:

√225 + √169

√225 = 15

√169 = 13

15 + 13 = 28

The answer is 28

Answer:

a you cant add if they are not the same denominator

Answer:

\(Answer: A\)

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

Hope it helps...

Have a great day!!

Answer:

90 degrees counterclockwise or 270 degrees clockwise

Step-by-step explanation:

Hope this helps

The total number of laps Sarah should run today is given by the equation A = 16 laps

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of laps be represented as A

Now , the equation will be

The total distance ran by Sarah yesterday = 3,682 m

The distance of one lap = 263 m

So , the number of laps ran by Sarah yesterday = total distance ran by Sarah yesterday / distance of one lap

Substituting the values in the equation , we get

The number of laps ran by Sarah yesterday = 3682 / 263

The number of laps ran by Sarah yesterday = 14 laps

Now ,

The distance Sarah wants to run today = 4,222 m

So , the number of laps Sarah should run today A = distance Sarah wants to run today / distance of one lap

Substituting the values in the equation , we get

The number of laps Sarah should run today A = 4,222 / 263

The number of laps Sarah should run today A = 16.05 laps

The number of laps Sarah should run today A = 16 laps

Therefore , the value of A is 16 laps

Hence , the number of laps is 16 laps

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Answer:

u=11/6

Step-by-step explanation:

Answer:

I believe your answer is u=22/3 in simplest form.

Hope this helps :)

The last to appear in the ones position of a number in the Fibonacci sequence is 6.

The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21 , … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that  is the last to appear in the ones position of a number in the Fibonacci sequence.

Thus, The last to appear in the ones position of a number in the Fibonacci sequence is 6.

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If the combination r = 5% and Y = $100 billion is on the Fed rule line, and the combination r = 7% and Y = $100 billion is considered, it would represent a movement up the Fed rule.

The Fed rule represents the relationship between the interest rate (r) and the level of real GDP (Y). As the interest rate increases from 5% to 7% while keeping the level of real GDP constant at $100 billion, it indicates a movement along the Fed rule line in an upward direction.

This implies that as the interest rate increases, the recommended level of real GDP decreases, based on the Fed rule. Therefore, the combination r = 7% and Y = $100 billion represents a movement up the Fed rule.

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The "magic sum" has to be 15 because the requirement that the sum of each row, column, and diagonal be equal constrains the possible values of each cell, and the values of all the cells must add up to the total sum of the square.

In a magic square, the sum of numbers in each row, column, and diagonal should be the same. In the case of a 3 × 3 magic square, the sum of each row, column, and diagonal should be equal to the magic sum.

Since the square contains the numbers 1 through 9, the sum of all the numbers in the square is:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45

Since there are three rows, three columns, and two diagonals, each with three numbers, the total sum of all the rows, columns, and diagonals is:

3 x magic sum = 45

Therefore, the magic sum has to be 15, since 3 x 15 = 45.

This holds true for any 3 × 3 magic square, not just the Lo Shu Magic Square.  Therefore, the magic sum must be the total sum divided by the number of rows, columns, and diagonals.

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Answer:

Step-by-step explanation:

Graphed in Desmos!

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Equation

2x + 3 + 4x = 6x + 3

Step 2: Solve for x

Here we see that x does indeed equal to x.

∴ x = infinite amount of solutions.

2x + 3 + 4x = 6x + 3

Combine the like terms on the left side

2x + 4x = 6x

6x + 3= 6x + 3

Subtract 3 from each side

6x = 6x

Divide each side by 6

x = x

No matter what x is, they are the same. It has infinite solutions.

Answer:

-3.7

Step-by-step explanation:

1.  More = Addition

2. 0.65 + -4.35 = -3.7

\(\Large\maltese\underline{\textsf{A. What is Asked}}\)

0.65 more than -4.35

\(\Large\maltese\underline{\textsf{B. This problem has been solved!}}\)

The word more means addition, thus

-4.35+0.65=

\(\bf{-3.7}\)

\(\cline{1-2}\)

\(\bf{Result:}\)

            \(\bf{=-3.7}\)

\(\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}\)

Answer:

I'll do each section below

Step-by-step explanation:

First question = 15

I'm going to assume that P and Q are equal so your equation would be:

8x+4 = 124

(-4 from both sides) => 8x = 120

(divide by 8 both sides) => x=15

Second question = 129

Angles on a straight line = 180 so your equation is:

5x+4+2x+1 = 180

(simplify) 7x+5 = 180

(-5) 7x = 175

(divide by 7) x = 25

Now since you are finding the obtuse angle you substitute this into 5x+4 and you should get 129

Third question = angle y

Adjacent just means next to so in this case the angle next to angle z is angle y

Hope this all helped, have a great day! :)

(a) The frequency spectrum of the signal {1, 9, 0, 1, 4, 9} can be estimated using the FFT algorithm to analyze its frequency components.

(b) By plotting the magnitude and phase response of the calculated spectrum, we can visualize the amplitudes and phase shifts associated with different frequencies in the signal.

To estimate the frequency spectrum of the given signal using the Fast Fourier Transform (FFT), we can follow these steps:

(a) Estimate the frequency spectrum using the FFT:

The given signal is {1, 9, 0, 1, 4, 9}. We'll apply the FFT algorithm to this signal to estimate its frequency spectrum.

First, we pad the signal with zeros to make it a power of 2. Since the signal has 6 elements, we'll add 2 zeros to make it a total of 8 elements: {1, 9, 0, 1, 4, 9, 0, 0}.

Next, we apply the FFT algorithm to this padded signal. The result will be a complex spectrum containing both magnitude and phase information.

The estimated frequency spectrum using the FFT will provide information about the frequencies present in the signal and their respective magnitudes.

(b) Plot the magnitude and phase response of the calculated spectrum:

After obtaining the complex spectrum from the FFT, we can plot the magnitude and phase response to visualize the frequency components of the signal.

The magnitude response plot will show the amplitude or strength of each frequency component in the signal. It will provide insights into which frequencies have higher or lower magnitudes.

The phase response plot will show the phase shift introduced by each frequency component. It will indicate the time delay or phase difference associated with each frequency.

By plotting the magnitude and phase response of the calculated spectrum, we can gain a comprehensive understanding of the frequency characteristics of the given signal.

Note: To generate the plots accurately, it is recommended to use software or programming libraries that provide FFT functions and visualization capabilities, such as MATLAB, Python's NumPy, or MATLAB/Octave with the fft() and plot() functions. These tools will allow you to perform the FFT calculation and generate the magnitude and phase response plots for the given signal.

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The rule of the mean is

We will find the sum of the given numbers, then divide it by how many numbers

The given numbers are

4, 8, 14, 7, 0, 8, 2, 10, 3, 12

Their sum = 68

There are 10 numbers, then

To find the median we have to arrange the numbers from smallest to greatest, then take the middle number

0, 2, 3, 4, 7, 8, 8, 10, 12, 14

Since there are 10 numbers, then there are 2 numbers in the middle

Then we will find their average by adding them and dividing their sum by 2

The 2 middle numbers are the 5th and the 6th positions

The 2 middle numbers are 7 and 8

The answers are:

Sample mean = 6.8

The median = 7.5

Answer:

175

Step-by-step explanation:

Answer:

D. It is an exponential function because the y-values increase by an

equal factor over equal intervals of x-values.

Step-by-step explanation:

The factor is equal, for example,

576/144 = 144/26 = 36/9 = 4

Answer:

You would solve this as if the inequality sign was an equal sign.

Just make sure when you divide by a negative or multiply by a negative the sign switches, anyways:

5 + 5(x +4) < 20

Distribute the 5 and simplify

5 + 5x + 20 < 20

25 + 5x < 20

Isolate x    (subtract 25 from both sides)

5x < -5

Divide by 5

x < -1

Answer: 1 tablespoon

Step-by-step explanation: