The R² from a regression of consumption on income is 0.75. Explain how the R² is calculated and interpret this value. [5 marks] Explain what is meant by a Type 1 error. How is this error related to the significance level of a hypothesis test?

Answers

Answer 1

The coefficient of determination, denoted by R², is the ratio of the explained variation to the total variation in the dependent variable, Y. R² is calculated by dividing the sum of squares of the regression by the total sum of squares.

Here, the R² from a regression of consumption on income is 0.75, which means that 75% of the variation in consumption is explained by the variation in income. The Type 1 error is an error that occurs when we reject a null hypothesis that is actually true. The level of significance in a hypothesis test is the probability of making a Type 1 error. It is the probability of rejecting the null hypothesis when it is true.

The level of significance is usually set at 0.05 or 0.01, which means that the probability of making a Type 1 error is 5% or 1%. If we set a higher level of significance, the probability of making a Type 1 error increases. If we set a lower level of significance, the probability of making a Type 1 error decreases.

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Related Questions

Question 3 [20 marks] Consider two utility functions u(x) and ˜u(x) where x is the amount of money consumed by the agent.

a) Explain formally what it means that an agent with utility function u is more risk averse than an agent with utility function ˜u.

b) Show that an agent with utility function u(x) = log x is more risk averse than an agent with utility function ˜u(x) = √ x.

Answers

a) Formal explanation of risk aversion An agent with utility function u is more risk averse than an agent with utility function ˜u if the former has a higher marginal utility of consumption and a diminishing marginal utility of consumption.

The marginal utility of consumption is defined as the amount of utility gained from an additional unit of consumption.

b) Show that an agent with utility function u(x) = log x is more risk averse than an agent with utility function ˜u(x) = √ x. An agent with utility function u(x) = log x is more risk averse than an agent with utility function ˜u(x) = √ x. To show this, we need to find the Arrow-Pratt coefficient of risk aversion, also known as the coefficient of relative risk aversion. The Arrow-Pratt coefficient of risk aversion is given by :-u''(x)/u'(x)Where u'(x) is the first derivative of u with respect to x and u''(x) is the second derivative of u with respect to x.

The Arrow-Pratt coefficient of risk aversion measures the curvature of the utility function. A higher value of the Arrow-Pratt coefficient of risk aversion indicates greater risk aversion. Let us calculate the Arrow-Pratt coefficient of risk aversion for both functions:-For u(x) = log x, u'(x) = 1/x, and u''(x) = -1/x². Therefore, the Arrow-Pratt coefficient of risk aversion for u(x) is given by:-u''(x)/u'(x) = -1/x² ÷ (1/x) = -x For ˜u(x) = √ x, ˜u'(x) = 1/2√ x, and ˜u''(x) = -1/4x^(3/2). Therefore, the Arrow-Pratt coefficient of risk aversion for ˜u(x) is given by:-˜u''(x)/˜u'(x) = -1/4x^(3/2) ÷ (1/2√ x) = -1/2√ x

Therefore, since -x < -1/2√ x, the agent with the utility function u(x) = log x is more risk averse than the agent with the utility function ˜u(x) = √ x.

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For 2 + 5(x-3) > 3x + 11, the answer is x>

Answers

Answer:

x >12

Step-by-step explanation:

2 + 5(x-3) > 3x + 11

Distribute

2 + 5x - 15 > 3x+11

Combine like terms

5x -13 > 3x+11

Subtract 3x from each side

5x-13-3x> 3x+11-3x

2x-13 > 11

Add 13 to each side

3x-13+13> 11+13

2x> 24

Divide by 2

2x/2 > 24/2

x >12

) Which relation is a function?
A) y2- x = 8
B) y2 + 3xy = 9y
C) y2 + x = 8x - 8
D) y =3/y- x2

Answers

Answer:

It is A

Step-by-step explanation:

If the y2 get subtracted by the 8 then itll be 8

Del enunciado: " De cada 2 conejos, hay 5 gallinas" ¿cuál es la razón entre gallinas y total de animales? *

Answers

Answer:

La razón entre el número de gallinas y el total de animales es: [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

La razón es una comparación entre dos magnitudes comparables.

En otras palabras, la razón es el cociente entre dos números o dos cantidades comparables entre sí, expresado como fracción.

En este caso, la cantidad total de animales es la suma de la cantidad de conejos y la cantidad de gallinas:

2 conejos + 5 gallinas= 7 animales

Entonces la razón entre el número de gallinas y el total de animales es: [tex]\frac{5}{7}[/tex]

in HIJ the measure of J=90 feet, JH=81 feet, HI=9 feet. Find the measure of I to the nearest degree. (Please answer how you got this answer)​

Answers

Answer:

63°

Step-by-step explanation:

1) Examing that right triangle, we can find the value of the angle x starting by using a trig ratio and then its reciprocal. Like this:

sin( x ) = 81/91

x = arcsin (81/91)

x = 62.88 = 63

Notice we have the opposite leg and the hypotenuse, so we started with the sine. And to find the value of the angle the arcsin.

2) So, that angle x is 63° (rounding off to the nearest degree)

Which table represents a quadratic function? No downloadable links or files, I will mark brainliest.

It is not the 3rd option.

Answers

Answer:

where is the table lol

show that an integer is divisible by 9 if and only if the sum of its decimal digits is divisible by 9. cheg

Answers

It is proved here that an integer is divisible by 9 if and only if the sum of its decimal digits is divisible by 9. This is known as divisibility test for 9.

How to test divisibility for 9?

To show that an integer is divisible by 9 if and only if the sum of its decimal digits is divisible by 9, we can use the concept of congruence.

Let's start by representing an integer as the sum of its decimal digits. Consider an integer n expressed in decimal notation as:

[tex]n = d_k * 10^k + d_(k-1) * 10^(k-1) + ... + d_2 * 10^2 + d_1 * 10^1 + d_0 * 10^0[/tex],

where [tex]d_i[/tex] represents the i-th decimal digit of n, and k is the number of digits in n (k >= 0).

We want to prove that n is divisible by 9 if and only if the sum of its decimal digits, [tex]d_k + d_(k-1) + ... + d_2 + d_1 + d_0[/tex], is divisible by 9.

1. If n is divisible by 9:

Assume n is divisible by 9, which means there exists an integer q such that n = 9q. We can express n as:

[tex]n = (d_k * 10^k + d_(k-1) * 10^(k-1) + ... + d_2 * 10^2 + d_1 * 10^1 + d_0 * 10^0) = 9q[/tex]

Since 10 is congruent to 1 modulo 9 (10 ≡ 1 (mod 9)), we can rewrite the above equation as:

[tex](d_k + d_{(k-1)} + ... + d_2 + d_1 + d_0)[/tex]  ≡ [tex]9q (mod\ 9)[/tex].

The left-hand side of the congruence represents the sum of the decimal digits, and the right-hand side is a multiple of 9. Therefore, the sum of the decimal digits is divisible by 9.

2. If the sum of the decimal digits is divisible by 9:

Assume the sum of the decimal digits is divisible by 9, which means there exists an integer p such that [tex](d_k + d_{(k-1)} + ... + d_2 + d_1 + d_0) = 9p.[/tex]

We can express n as:

[tex]n = (d_k * 10^k + d_{(k-1)} * 10^{(k-1)} + ... + d_2 * 10^2 + d_1 * 10^1 + d_0 * 10^0) = (9p + d_k * 10^k + d_{(k-1)} * 10^{(k-1)} + ... + d_2 * 10^2 + d_1 * 10^1 + d_0).[/tex]

Since 10 is congruent to 1 modulo 9 (10 ≡ 1 (mod 9)), we can rewrite the above equation as:

n ≡ [tex](9p + d_k + d_{(k-1)} + ... + d_2 + d_1 + d_0)[/tex] ≡ 0 (mod 9).

This shows that n is congruent to 0 modulo 9, or in other words, n is divisible by 9.

Therefore, we have shown that an integer is divisible by 9 if and only if the sum of its decimal digits is divisible by 9.

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Tell whether the ordered pair is of liner equations (5,-6) 6x+3y=12 4x+y=14

Answers

Answer:

The ordered pair is one of the solution to the system of equations. See below.

Step-by-step explanation:

To tell if the ordered pair is the solution to the system of equations or not, we can do by substituting the ordered pair in both equations.

(x, y) = (5,-6)

Substitute x = 5 and y = -6 in both equations.

First Equation

6x+3y=12

6(5)+3(-6)=12

30-18=12

12=12

Second Equation

4x+y=14

4(5)-6=14

20-6=14

14=14

Because both equations have same sides which mean that both equations are true for (5,-6). Therefore (5,-6) is part of the equations.

Please just give me the answer

Answers

9514 1404 393

Answer:

  8

Step-by-step explanation:

The Pythagorean theorem tells you of the relation ...

  x² + 6² = 10² . . . . . . . . . squares of sides total to the square of hypotenuse

  x² = 100 -36 = 64 . . . . . subtract 6²

  x = √64 = 8 . . . . . . . . . . square root

The length of side x is 8 units.

How many solutions does the system have?
You can use the interactive graph below to find the answer.
\begin{cases} x+2y=2 \\\\ 2x+4y=-8 \end{cases}









x+2y=2
2x+4y=−8


Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Exactly one solution

(Choice B)
B
No solutions

(Choice C)
C
Infinitely many solutions







How many solutions does the system have? ⎧


x+2y=2
2x+4y=−8

Answers

Answer:

No solution

Step-by-step explanation:

The easiest approach here is to divide the second equation by 2:  x + 2y = -4.

Comparing the first equation with this result, we see that the the two lines never intersect, and thus that there is no solution.

If y varies inversely with x, and y= 12 when x = 16, what is the constant of variation k?

Answers

Answer:

k = 192

Step-by-step explanation:

Given that,

y varies inversely with x. It can be written as :

[tex]y=\dfrac{k}{x}[/tex]

Where

k is the constant of variation

Put x = 16 and y = 12 in the above formula.

[tex]k=yx\\\\k=16\times 12\\\\k=192[/tex]

So, the value of the constant of variation is equal to 192.

At a particular restaurant, each mini hotdog has 100 calories and each slider has 200 calories. A combination meal with mini hotdogs and sliders is shown to have 1200 total calories and 4 times as many mini hotdogs as there are sliders. Graphically solve a system of equations in order to determine the number of mini hotdogs in the combination meal, x,x, and the number of sliders in the combination meal, yy.

Answers

Answer:

The number of sliders is 2 and the number of hot dogs is 8.

Step-by-step explanation:

Since at a particular restaurant, each mini hotdog has 100 calories and each slider has 200 calories, and a combination meal with mini hotdogs and sliders is shown to have 1200 total calories and 4 times as many mini hotdogs as there are sliders, in order to determine the number of mini hotdogs in the combination meal, X, and the number of sliders in the combination meal, Y, the following calculation must be performed:

2X + Y = 1200

800 + 400 = 1200

800/100 = 8

400/200 = 2

Thus, the number of sliders is 2 and the number of hot dogs is 8.

The distance between bases on a baseball field is 27.43 meters. Joe has jogged from one base to the next 4.5 times. How far has he jogged?
a. 12.48 meters
b. 40.72 meters
c. 123.43 meters
d. 123.45 meters

Answers

Number of meters Joe jogged is 123.43 meters. Therefore, the correct answer is option C.

Given that, the distance between bases on a baseball field is 27.43 meters.

Joe has jogged from one base to the next 4.5 times.

Number of meters Joe jogged = Distance between bases on a baseball field × Number of times Joe jogged

= 27.43 × 4.5

= 123.43 meters

Therefore, the correct answer is option C.

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Will mark brainliest !!!

Answers

Answer:

27

Step-by-step explanation:

Length * width * height to find the volume so it is 3*3*3=27

I need some brainliest :)
3 by 3 by 3 means that the volume is 27 cubic centimeters
3 cm for width, 3 cm for height, 3 cm for length

5 x 100 = ? for easy points

Answers

Answer:

500! Just multiply 5 x 1 then add the remaining 2 zeros :)

Step-by-step explanation:

Thank you!

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex]5 \times 100 \\ = 500[/tex]

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

HW: using trigonometric identities, show that the solution of the damped forced oscilla from can be written as: (24) Xlt)=12 Fo/m Sin (wo-w)t sin (wotw)t 7 Wo² - w² 2 2 Hint: ure the identifies for addition and Substraction of angles.

Answers

Hence, the required equation is `(24) Xlt)=12 Fo/m Sin (wo-w)t sin (wotw)t 7 Wo² - w² 2 2`.

Given damped forced oscillation equation is,`m d²x/dt² + c dx/dt + kx = Fo sin(wt)`Using trigonometric identities, we can write solution for the given damped forced oscillation equation as,X(t) = Acos(wt + Φ) + Xpwhere Xp = (Fo/k) sin(wt - δ)Let's substitute X(t) in the given equation to get the required equation.```
X(t) = Acos(wt + Φ) + Xp
=> dX(t)/dt = -Awsin(wt + Φ) + (Fo/k)wcos(wt - δ)
=> d²X(t)/dt² = -Aw²cos(wt + Φ) - (Fo/k)w²sin(wt - δ)


```Now, substitute these values in the given damped forced oscillation equation.`md²X(t)/dt² + cdX(t)/dt + kX(t) = Fo sin(wt)`⇒ `m(-Aw²cos(wt + Φ) - (Fo/k)w²sin(wt - δ)) + c(-Awsin(wt + Φ) + (Fo/k)wcos(wt - δ)) + k(Acos(wt + Φ) + (Fo/k)sin(wt - δ)) = Fo sin(wt)`Grouping the terms of sines and cosines, we get⇒ `{-Aw²mcos(wt + Φ) + Awcsin(wt + Φ) + (Fo/k)w²sin(δ) + kAcos(wt + Φ) + (Fo/k)wcos(δ)} = Fo sin(wt) - c(Fo/k)wcos(wt - δ)`Let's solve these equations for `δ` and `A`.```
-Aw²mcos(wt + Φ) + Awcsin(wt + Φ) + kAcos(wt + Φ) = 0      .....................(1)
(Fo/k)w²sin(δ) + (Fo/k)wcos(δ) = Fo sin(wt) - c(Fo/k)wcos(wt - δ)  .....(2)
```Squaring and adding both equations, we get,`(Aw)²m + kA² = (Fo/k)²`or `A = Fo/(k² - mω²)^(1/2)`From equation (1), we have,`(Aw)²m + kA² = 0`or `δ = tan⁻¹(Aw/k)`Substitute values of A and δ in equation (2), we get,`Xp = (Fo/k) sin(wt - δ) = Fo/(k² - mω²)^(1/2) sin(wt - tan⁻¹(Aw/k))`Therefore, solution for the given damped forced oscillation equation is,`X(t) = Acos(wt + Φ) + Xp`= `12 Fo/m Sin (wo-w)t sin (wotw)t / (wo² - w²)²`

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Diane has $334 in her checking account. She writes a check for $112, makes a deposit of $100, and then writes another check for $98. Find the amount left in her account.
Select one:
a. $444
b. $214
c. $224
d. $86

Answers

Answer:

334 - 112 + 100 - 98

Step-by-step explanation:

Will mark brainliest for the **CORRECT** answer!

Answers

Answer:

4x + 12x = 320

16x = 320

x = 20

Step-by-step explanation:

This is because the diagram shows 4x + 12x and the total being, 320.

4x + 12x = 16x

and 320/16 = 20

so x = 20

hope this helped :)

help please! :)) ill do whatever it is that gets you guys points!!! please help!

Answers

Answer:

7.5 in.

Step-by-step explanation:

Answer:

7.5 in

Step-by-step explanation:

using pythagorean theorem

Hyp²= Opp² + Adj ²

where 9= hyp

5= adj

and x = opp

9²=x²+5²

81=x² + 25

collect like terms

81-25=X²

56=X²

since we're looking for X and not X²

we square root both sides

√x²=√56

x=7.483 approximately 7.5

A submarine began at sea level and descended toward the ocean floor at a rate of −0.015 km per minute. Its final depth was −0.3675 km. Estimate how long it took the submarine to reach its final depth by rounding the dividend and divisor to the nearest hundredth.



Estimate of the quotient:

Answers

Answer:

Around 24.5 minutes

Step-by-step explanation:

Answer:

Estimate of the dividend: -0.37

Estimate of the divisor: -0.02

Estimate of the quotient: 18.5

Step-by-step explanation:

I did the test and it was right and I dubble checked it to

You are charged $16. 05 after tax for a meal. Assume sales tax is 7%, what was the menu price for the meal

Answers

Answer:

$15

Step-by-step explanation:

107% is the price of $16.05

so, 107% = $16.05

Divide both sides by 107:

1% = $0.15

Multiply both sides by 100:

100% = $15.00

A polygon has the following coordinates: A(-5,2), B(-2,-2), C(2,3), D(6,3), E(6,-5), F(-5,-5). Find the length of EF.
A.
12 units
B.
9 units
C.
11 units
D.
10 units

Answers

Answer:

C

Step-by-step explanation:

got it right on edg

6. Brandon and Charlotte Snifflesworth are visiting three of Americas top tourist attractions. The Snifflesworths

live close to Disney World in Orlando, Florida. They decided to start their trip at Disney World before traveling to

San Francisco, California to see the Golden Gate Bridge and then to Minneapolis, Minnesota to go shopping at the

Mall of America. The bearing from Disney to the Golden Gate Bridge is North 65° West. The bearing from the

Golden Gate Bridge to the Mall of America is North 80° East. The bearing from Disney to the Mall of America is

North 30° West and the distance traveled is 1,320 miles. Find all missing interior angles and distances created from

their triangular trip to America's top tourist attractions. Also find the bearing from the Mall of America to

Disneyland.

Answers

Answer:

The distance from Disney to the Golden Gate Bridge is 2,162.56 miles

The distance from Mall of America to The Golden Gate Bridge  is 1,320 miles

The interior angle at The Golden Gate Bridge is 35°

The interior angle at Mall of America is 110°

The interior angle at Disney is 35°

The direction from Mall of America to Disney is South 30° East

Step-by-step explanation:

The bearing from Disney to the Golden Gate Bridge = North 65° West

The bearing from the Golden Gate Bridge to the Mall of America = North 80° East

The bearing from Disney to the Mall of America = North 30° West

The distance from Disney to the Mall of America = 1,320 miles

Let 'A', 'B', and 'C' represent the interior angles at Disney, The Golden Gate bridge and Mall of America respectively

From the drawing of the triangular trip, we find that the interior angle at C = The sum angles complementary to the bearings at B and at C

Therefore, the interior angle at C = (90° - 65°) + (90° - 80°) = 35°

The interior angle at B = The bearing of C from B - The bearing of A from B

∴ The interior angle at B = 65° - 30° = 35°

B = 35°

∠C = 35° and ∠B = 35°, therefore, the triangle is an isosceles triangle

The interior angle at A = 180° - (∠B + ∠A) = 180° - (35° + 35°) =110°

CA = AB = 1.320

By sine rule, a = sin(110) × 1320/sin(35) ≈ 2,162.56  miles

a = CB = 2,162.56 miles

Therefore, we have;

The distance from Disney to the Golden Gate Bridge = 2,162.56 miles

The distance from Mall of America to The Golden Gate Bridge  = 1,320 miles

The interior angle at The Golden Gate Bridge = 35°

The interior angle at Mall of America = 110°

The interior angle at Disney = 35°

The magnitude of the bearing of Mall of America to Disney = The magnitude of the alternate angle to the bearing of Disney to Mall of America = 30°

∴ The direction from Mall of America to Disney = South 30° East

Select all that apply. Which numbers are not perfect squares? 36 14 20 16 25 18 24

Answers

Answer:

20, 18, 14, and 24 are all not perfect squares

Step-by-step explanation:

Find the general solution of the following using determent coefficients. y" - 4y' + 5y = 16 cos (1)

Answers

The general solution of the differential equation y" - 4y' + 5y = 16 cos (1) using determinant coefficients is given by y =

yh + yp = c1 e^(2x) cos(x) + c2 e^(2x) sin(x) + 16/((5^2 + 1)√26) cos(1).

In order to find the solution using determinant coefficients, first, we solve the homogeneous equation y" - 4y' + 5y = 0. The characteristic equation is given by r^2 - 4r + 5 = 0, which has roots r = 2 ± i. Therefore, the general solution of the homogeneous equation is yh = c1 e^(2x) cos(x) + c2 e^(2x) sin(x).

Next, we find the particular solution of the non-homogeneous equation using the method of undetermined coefficients. Since the forcing function is cos(1), we assume the particular solution to be of the form yp = a cos(1). Substituting this into the differential equation, we get -a + 4a + 5a cos(1) = 0, which implies a = 16/(5^2 + 1). Hence, the particular solution is yp = 16/((5^2 + 1)√26) cos(1).

Therefore, the general solution of the given differential equation is y = yh + yp = c1 e^(2x) cos(x) + c2 e^(2x) sin(x) + 16/((5^2 + 1)√26) cos(1).

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An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 42 and σ = 5.0.
(a) What is the probability that yield strength is at most 39? Greater than 60? (Round your answers to four decimal places.)
at most 39 _________. greater than 60 _________. (b) What yield strength value separates the strongest 75% from the others? (Round your answer to three decimal places.)
_______ksi

Answers

A)The probability that the yield strength is greater than 60 is approximately 0.0003.

B)The yield strength value that separates the strongest 75% from the others is approximately 45.3725 ksi.

What is probability?

Probability is a fundamental concept in mathematics and statistics that quantifies the likelihood or chance of an event occurring. It provides a numerical measure of uncertainty or the relative frequency with which an event is expected to happen. In simpler terms, probability is a way of expressing how likely it is for a particular outcome or event to take place.

(a) The probability that yield strength is at most 39:

Using the standard normal distribution, we can calculate the z-score as follows:

[tex]\[ z = \frac{{39 - 42}}{{5.0}} = -0.6 \][/tex]

The cumulative probability associated with a z-score of -0.6 represents the probability of obtaining a value less than or equal to 39. Using a standard normal distribution table or a calculator, we find that this cumulative probability is approximately 0.2743.

Therefore, the probability that the yield strength is at most 39 is approximately 0.2743.

The probability that yield strength is greater than 60:

Converting 60 to a z-score:

[tex]\[ z = \frac{{60 - 42}}{{5.0}} = 3.6 \][/tex]

The cumulative probability associated with a z-score of 3.6 represents the probability of obtaining a value greater than 60. Using a standard normal distribution table or a calculator, we find that this cumulative probability is approximately 0.9997.

Since we want the probability of a value greater than 60, we subtract this cumulative probability from 1:

[tex]\[ P(\text{{yield strength}} > 60) = 1 - 0.9997 = 0.0003 \][/tex]

Therefore, the probability that the yield strength is greater than 60 is approximately 0.0003.

(b) The yield strength value that separates the strongest 75% from the others:

To find the yield strength value that separates the strongest 75% from the others, we need to find the z-score corresponding to the cumulative probability of 0.75. Using a standard normal distribution table or a calculator, we find that the z-score associated with a cumulative probability of 0.75 is approximately 0.6745.

Next, we can use the z-score formula to find the yield strength value:

[tex]\[ z = \frac{{x - \mu}}{{\sigma}} \][/tex]

Rearranging the formula to solve for x:

[tex]\[ x = \mu + (z \times \sigma) \][/tex]

Substituting the values into the formula:

[tex]\[ x = 42 + (0.6745 \times 5.0) = 45.3725 \][/tex]

Therefore, the yield strength value that separates the strongest 75% from the others is approximately 45.3725 ksi.

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solve the system of differential equations. = 2x 3y 1 = -x - 2y 4

Answers

The given system of differential equations is:

dx/dt = 2x + 3y

dy/dt = -x - 2y + 4

To solve this system, we can use various methods such as substitution, elimination, or matrix methods. Let's use the matrix method.

First, we can rewrite the system in matrix form:

d/dt [x y] = [2 3] [x] + [1]

[-1 -2] [y] + [4]

Next, we define A as the coefficient matrix [2 3; -1 -2], X as the column matrix [x; y], and B as the column matrix [1; 4]. The system can now be written as:

dX/dt = AX + B

To find the solution, we can calculate the eigenvalues and eigenvectors of matrix A. From the eigenvalues, we determine the corresponding eigenvectors and use them to construct the general solution. However, without the specific values of matrix A, it is not possible to provide the exact solution.

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how do you determine if a relation is a function ​

Answers

Answer:

Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

Step-by-step explanation:

The sixth grade art students are making a mosaic using tiles in the shape of triangles.Each tile Hans leg measures of 7cm and 4cm. If there are 84 tiles in the mosaic,what I sent the area of the mosaic

Answers

Answer:

1,176 square centimeters

Step-by-step explanation:

The computation of the area of the mosaic is  shown below:

As we know that

The Area of the triangle is

= 1 ÷ 2 × base × height

= 1 ÷ 2 × 7 × 4

= 14

Now 1 tile would be 14 square centimeters

And, there are 84 tiles in the mosaic

So, the total area is

= 84 × 14

= 1,176 square centimeters

Please answer if your know

Answers

Answer:

52 pounds

Step-by-step explanation:

52 pounds

Other Questions
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