Use the given transformation to evaluate the double integral: Slo (22 + y2) LA where D is the ellipse with equation 112? + 8y = 88. 4 3 2 1 c -1 -2 -3 -4 -3 -2 -1 0 1 2 3 Let x = 18u and y= V11 v then the evaluated integral equals Submit Answer Tries 0/8

Answers

Answer 1

To evaluate the double integral Slo (22 + y^2) LA over the ellipse with equation 112x^2 + 8y^2 = 88, we can use the given transformation x = 18u and y = sqrt(11)v.

First, we need to find the bounds of integration for u and v. Substituting the given equations into the ellipse equation, we get:

112(18u)^2 + 8(sqrt(11)v)^2 = 88
18144u^2 + 88v^2 = 88
204u^2 + v^2 = 1

This gives us the equation of an ellipse with semi-axes of length 1/sqrt(204) and 1/sqrt(88). To find the bounds of integration, we can set u and v equal to these semi-axes:

u = ±1/sqrt(204)
v = ±1/sqrt(88)

We can also use the fact that the ellipse is symmetric about the x and y axes to simplify our calculations. Therefore, we can integrate over the first quadrant and multiply our result by 4.

The double integral becomes:

Slo (22 + y^2) LA = 4 * ∫(0 to 1/sqrt(88)) ∫(0 to 1/sqrt(204)) (22 + 11v^2) * 18 dv du

Simplifying and evaluating the integral, we get:

Slo (22 + y^2) LA = 4 * 18 * (22/3 + 11/2 * (1/sqrt(88))^2) * (1/sqrt(204)) * (1/sqrt(88))
Slo (22 + y^2) LA = 4 * 3 * (22/3 + 11/2 * 1/88) * (1/sqrt(204)) * (1/sqrt(88))
Slo (22 + y^2) LA = 12 * (22/3 + 11/2 * 1/88) * (1/sqrt(204)) * (1/sqrt(88))
Slo (22 + y^2) LA ≈ 3.693

Therefore, the evaluated integral is approximately 3.693.

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Related Questions

A 12 hour circular analogue clock shows 6 o'clock, with the hour hand pointing at 6, and the minute hand pointing at 12. Sometime between 7 and 8 o'clock the hour hand and minute hand are at 180° to each other. At how many minutes past 7 o'clock does this happen?

Answers

After 11 minutes, the angle between the hour's hand and the minute hand is 180°.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

A 12 hours roundabout simple clock shows 6 o'clock, with the hour hand pointing at 6, and the moment hand pointing at 12.

The angle between the hour hand and minute hand is 180°. Then the number of minutes is given as,

In each hour, the hour hand rotates 30°. Then in 8 hours, the hour hand rotation is calculated as,

⇒ 30° x 8

⇒ 240°

After 11 minutes the position of the hour hand is given as,

⇒ 240° + (11 / 60) x 30°

⇒ 240° + 5.5°

⇒ 245.5°

The rotation of the minute hand is given as,

⇒ (360° / 60) x 11

⇒ 66°

Then angle between the hour and the minute hand is calculated as,

Angle = 245.5° - 66°

Angle = 179.5°

Angle ≈ 180°

The number of minutes past 7 o'clock will be 11 minutes.

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Prepare a calibration curve by plotting the measured wavenumbers vs. accepted wavenumbers for the seven Hg lines. Fit the data with a linear function and be sure to report the slope and y-intercept with a reasonable number of significant figures. Use the calibration curve to determine the values for the four H emission lines. Calculate the Rydberg constant for hydrogen using these values. Explain how to make all graphs and do all calculations.

theoretical hg values
17264.37
17327.39
18307.39
22938.1
22995.23
24515.88
24705.3
Theoretical H Values
410.1
434
486.1
656.2

Answers

To prepare a calibration curve for the Hg lines, plot the measured wavenumbers against the accepted wavenumbers. Fit the data with a linear function to determine the slope and y-intercept. Then, use the calibration curve to determine the values for the four H emission lines and calculate the Rydberg constant for hydrogen using these values.

Step 1:

To create a calibration curve, plot the measured wavenumbers of the Hg lines on the x-axis and the corresponding accepted wavenumbers on the y-axis. Fit the data points with a linear function to obtain the equation of the line. The slope and y-intercept of the linear function represent the calibration parameters.

Step 2:

The calibration curve provides a relationship between the measured wavenumbers and the accepted wavenumbers for the Hg lines. By fitting the data with a linear function, we can determine the slope and y-intercept, which define the linear relationship. These parameters allow us to convert the measured wavenumbers of unknown samples to their corresponding accepted values.

Step 3:

Using the calibration curve, we can determine the values for the four H emission lines by finding their corresponding measured wavenumbers. By substituting these measured wavenumbers into the linear function obtained from the calibration curve, we can calculate the accepted wavenumbers for the H emission lines.

Step 4:

The Rydberg constant for hydrogen can be calculated using the values obtained for the H emission lines. The Rydberg formula relates the wavenumber of a spectral line to the Rydberg constant, the principal quantum numbers of the initial and final energy levels, and the atomic mass. By rearranging the formula and substituting the known values, we can solve for the Rydberg constant.

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Helppppp with this please

Helppppp with this please

Answers

Answer:180

Step-by-step explanation:

hope this helps

Answer:

0.8 mm

Step-by-step explanation:

Given that you require the actual size.

The ant has been magnified by 15 X

To find the actual size divide magnified size by 15

actual size = 12 mm ÷ 15 = 0.8 mm

Find the smallest positive integer value of n for which 225n is a multiple of 540. ​

Answers

The smallest positive integer value of n for which 225n is a multiple of 540 is 8.

To determine the smallest positive integer value of n for which 225n is a multiple of 540, we need to find the least common multiple (LCM) of 225 and 540 and then divide it by 225.

To find the LCM of 225 and 540, we can factor both numbers into primes:

225 = 3^2 x 5^2

540 = 2^2 x 3^3 x 5

The LCM will be the product of the highest powers of each prime factor:

LCM = 2^2 x 3^3 x 5^2 = 1800

Now, we divide the LCM by 225:

1800 / 225 = 8

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Simplify 7x²-x²
how to simplify this maths question

Answers

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  . . . . . . . . . . .  . . . . . . . . . . . . . . . . . . . . . . .

We are asked to simplify the expression \(\large\pmb{7x^2-x^2}\).

\(\triangle~\fbox{\bf{KEY:}}\)

Combine like terms! :)

That's exactly what we need to do - combine like terms.

So, we subtract:

\(\star~\large\pmb{7x^2-x^2}\)

Which gives us:

\(\star~\large\pmb{6x^2}\)

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Please answer this for me

Please answer this for me

Answers

Answer:

According to my calculations the answer would be C or B

Step-by-step explanation:

Unless I did it incorrectly

Answer:

C

Step-by-step explanation:

30 chose a sandwhich out of 55 students

8x - 4y = -4 solve for y.

Answers

The equation 8x - 4y = -4 have y as the subject to be equal to 2x + 1 expresses in terms of x.

How to evaluate for y

To solve for y in the equation 8x - 4y = -4, we must make y the subject and it should be positive as follows;

8x - 4y = -4

add 4y to both sides

8x - 4y + 4y= -4 + 4y

8x = - 4 + 4y

also to make y the subject;

- 4 + 4y = 8x

add 4 to both sides

- 4 + 4 + 4y = 8x + 4

4y = 8x + 4

factorize the right hand side

4y = 4(2x + 1)

divide through by the coefficient of y

4y/4 = [4(2x + 1)]/4

y = 2x + 1

Hence, the equation 8x - 4y = -4 has y = 2x + 1

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How many solutions does this equation have? –7q + 7 = 4 − 4q
- no solution
-one solution
-infinitely many solutions

Answers

Answer: One answer

Step-by-step explanation:

How many solutions does this equation have? 7q + 7 = 4 4q- no solution -one solution-infinitely many

help me i don't get math 17 points

help me i don't get math 17 points

Answers

Answer:

805.92

Step-by-step explanation:

An ice cube weighs 20 grams. How much will it weigh after it melts?

Answers

Answer:well if a ice cub melts its probally gonna be 0

Step-by-step explanation:

im not so good sorry

PLEASE HELP ASAP - ILL GIVE BRAINIEST

PLEASE HELP ASAP - ILL GIVE BRAINIEST

Answers

Answer:

We know that:

A = lw

Factorize the expression for the area and find the missing side

< 10 >

Given:

A = x² + 10x + 21w = x + 3

Find l:

l = A/w

l = (x² + 10x + 21)/(x + 3) =

    (x + 3)(x + 7)/(x + 3 =

    x + 7

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

< 11 >

Given:

A = x² + 2x - 8l = x + 4

Find w:

w = A/l

w = (x² + 2x - 8)/(x + 4) =

      (x + 4)(x - 2)/(x + 4) =

      x - 2

What is the domain of the following function represented by ordered pairs? {(4, 9), (–6, 1), (–2, 5), (3, 1)}

Answers

Answer:

4, -6, -2, 3

Step-by-step explanation:

Domain is all the x-values in an ordered pair or function

Range is all the y-values in an ordered pair or function

The x-values for this function is 4, -6, -2, 3

This is the domain

The range(y-values) would be 9, 1, 5

Remember to not input repeating values for domain and range. In the range of this function, there are two values of 1, but I only inputted 1, once.

-Chetan K

Help please :). I hate trigonometry

Help please :). I hate trigonometry

Answers

Answer: You shouldn't hate trig.

Step-by-step explanation:

SinΘ= opposite/hypotenuse

SinΘ=y/x

Sin(16) = 9/x

x = 9/Sin(16)

x= 32.7 cm

(4 pts) Solve the inequality graph the sotution and write the answer in interval notation. 2) X + 29/x+3<9

Answers

The given inequality is X + 29/x+3<9. We have to solve this inequality, graph the solution and write the answer in interval notation.Steps to solve the inequality:Step 1: Subtract 9 from both sides of the inequality.X + 29/x+3 - 9 < 0Step 2: Bring all the terms to the denominator.X(x+3) + 29 - 9(x+3) / x+3 < 0Simplifying it, (x^2 + 2x - 6x - 3) / (x+3) < 0x^2 - 4x - 3 / x+3 < 0Step 3: Find the critical values. They are the values of x which make the denominator zero. Here, the critical value is x = -3.Step 4: Find the sign of f(x) for values of x less than -3. We will choose x = -4.f(-4) = ((-4)^2 - 4(-4) - 3) / (-4+3) = 7 > 0Therefore, for x < -3, the sign of f(x) is positive (+).Step 5: Find the sign of f(x) for values of x between -3 and 1. We will choose x = 0.f(0) = (0^2 - 4(0) - 3) / (0+3) = -1Step 6: Find the sign of f(x) for values of x greater than 1. We will choose x = 2.f(2) = (2^2 - 4(2) - 3) / (2+3) = -3/5Therefore, for x > -3, the sign of f(x) is negative (-).Step 7: Plot the critical value on the number line. Use an open circle for less than or greater than inequalities and a closed circle for less than or equal to or greater than or equal to inequalities.Step 8: Write the solution in interval notation.(-∞,-3) U (1, 2+√7) U (2-√7, -3+√13) U (-3+√13,∞)The solution of the given inequality is (-∞,-3) U (1, 2+√7) U (2-√7, -3+√13) U (-3+√13,∞).

through: -1,4 and 0,0 point slope​

through: -1,4 and 0,0 point slope

Answers

Step-by-step explanation:

the slope = (4-0)/(-1-0) = 4/(-1) = -4

the equation : y = -4x

☆Answer : (X1, Y1) = (-1, 4) (X2, Y2) = (0, 0)

m = (Y2 - Y1)/(X2 - X1)

m = (0 - 4)/(0 - (-1))

m = -4/(0 + 1)

m = -4/1 = -4

You buy 10 pounds of bird seed at store A for $11.50.Your friend buys 15 pounds of bird seed at Store B for $19.50.How much less would u sped by buying 20 pounds of bird seed at the store with the better deal?

Answers

Answer:

$3

Step-by-step explanation:

You buy 10 pounds of bird seed at store A for $11.50 which means every pound is $1.15.

15 pounds of bird seeds store B for $19.50 is $1.30 per pound.

At store A = 20 * $1.15 = $23

At store B = 20 * $1.30 = $26

So, 26 - 23 = 3

Answer:

You would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

Step-by-step explanation:

Given:

You can buy 10 pounds of birdseed at Store A for $11.50

10 pounds – $11.50

\(\mathrm{\dfrac{ \$11.50 }{ 10\:pounds }}=\mathrm{\dfrac{ \$1.50 }{ 1\:pound }}\)

1 pound – $1.15

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.15 = $23

20 pounds = $23

Your friend buys 15 pounds of birdseed at Store B for $19.50

15 pounds – $19.50

\(\mathrm{\dfrac{ \$19.50 }{ 15\:pounds }}=\mathrm{\dfrac{ \$1.3 }{ 1\:pound }}\)

1 pound – $1.3

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.3 = $26

20 pounds = $26

Now we compare each stores value for 20 pounds of bird seeds:

$23 < $26

The store with the better deal is: Store A

So, you would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

pls answer this as fast as you can

pls answer this as fast as you can

Answers

don’t listen to the guy asking to click the link it’s a virus!!

Find asked slope
(See image for problem)

Find asked slope(See image for problem)

Answers

Answer:

D has the positive slope because it's the only line that goes upwards from left to right.

Step-by-step explanation:

which method is best for solving the system of equations,

3x+2y=4

-3x+y=2

which method is best for solving the system of equations,3x+2y=4 -3x+y=2

Answers

The method which is best for solving the system of equations when you remove one variable by adding them is B Elimination

To answer the question, we need to know what system of equations are

What are system of equations?

System of equations are pairs of equations that contain two unknowns

Ways of solving system of equations

We have different ways of solving systems of equations which include

Guess and CheckEliminationGraphing and Substitution

Since we have the system of equations

3x + 2y = 4

-3x + y = 2

The method which we can use to remove one variable by adding them is the elimination method.

Adding them, we have

3x + 2y = 4

+

-3x + y = 2

3y = 6

y = 6/3

y = 2

So, the method which we can use to remove one variable by adding them is B Elimination

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find the pattern of 1,2,6,18 and state if its arithmetic or geometric

Answers

Answer:

 its a geometric sequence where each term is 3 times the previous term.

Step-by-step explanation:

{2,6,18,54,162,486,1458...}

3. Missing Digit Look for a pattern and find the missing digit x.
3 2 4 8
7 2 1 3
8 4 x 5
4 3 6 9
​i need to get it done right now ... can someone please help with it

Answers

The missing digit (x) in the pattern is 3 in the second column and 4 in the fourth row. The completed pattern is as follows:

3 2 4 8

7 2 1 3

8 4 3 5

4 3 6 9

How to find the missing digit

To find the missing digit (x) in the given pattern, let's examine the columns and rows to identify any patterns.

Looking at the columns, we can see that the digits in the second column are increasing by 1 each time: 2, 4, x, 3. Therefore, the missing digit (x) must be 2 + 1 = 3.

Similarly, observing the rows, we notice that the digits in the fourth row are decreasing by 1 each time: 8, 5, x, 9. Thus, the missing digit (x) must be 5 - 1 = 4.

Therefore, the missing digit (x) in the pattern is 3 in the second column and 4 in the fourth row. The completed pattern is as follows:

3 2 4 8

7 2 1 3

8 4 3 5

4 3 6 9

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Evaluate (4/25) 1/2

A 4/5

B 4/25

C2/5

D2/25

Answers

(4/25) 1/2 = 4/50 = 2/25

D. 2/25

2/25

Step-by-step explanation:

\(\begin{aligned}\tt\left(\frac{4}{25}\right)\cdot\frac{1}{2}&=\tt\frac{4}{50}\to(\div~2)\\&=\tt\frac{2}{25}\end{aligned}\)

Please help as fast as you can!!!!
-2 1/3 - 1 3/4=

Answers

-4.08333333333
I think that is the answer

4=8/3

I hope this helps, I think thin is the right answer

There are 6 × 1012 raindrops in one thunder cloud. Which shows what a calculator would display for the number of raindrops in 5 thunder clouds?

A
1.2E12

B
1.2E13

C
3E12

D
3E13

Answers

Answer:

The answer is D

3E13

Step-by-step explanation:

6E12 x 5 = 30E12 or 3E13

Answer:

the answer is Dplease mark brainliest grasias

Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE. (-1)"n 72 +5 a = liman 7200 L -/10 Points] DETAILS SCALCCC4 8.1.023. Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE. an = n2e-5 lim an 72-00 –/10 points) DETAILS SCALCCC4 8.1.029. Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE. (3n - 1)! (3n +1)! limon 7200

Answers

To determine whether the given sequence converges or diverges, we will examine each of the provided sequences and find their respective limits as n approaches infinity.

1. an = (-1)^n

The sequence alternates between -1 and 1 as n increases. Since it does not approach a specific value, the sequence diverges. Your answer for this sequence is NONE.

2. an = n^2 * e^(-n)

To find the limit as n approaches infinity, we can apply L'Hopital's Rule:

lim (n^2) / (e^n) as n approaches infinity.

Applying L'Hopital's Rule twice, we get:

lim (2n) / (e^n) and then lim (2) / (e^n).

As n approaches infinity, the denominator (e^n) increases without bound, so the limit becomes 0. The sequence converges to 0.

3. an = (3n - 1)! / (3n + 1)!

To find the limit as n approaches infinity, let's rewrite the sequence as:

an = 1 / [(3n)(3n + 1)]

As n approaches infinity, the denominator (3n)(3n + 1) increases without bound, and the sequence converges to 0.

In summary:
1. The sequence (-1)^n diverges (NONE).
2. The sequence n^2 * e^(-n) converges to 0.
3. The sequence (3n - 1)! / (3n + 1)! converges to 0.

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Will give brainleist

Will give brainleist

Answers

Answer:

c

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

B has a proportional relationship between "a" and "b" as when you divide corresponding "b" values by their respective "a" values they will always give the same thing, that being 1.25 for this situation

\(25/20=1.25\)

\(30/24=1.25\)

\(40/32=1.25\)

this can also be done in reverse by dividing "a" values by their respective b" values to get the same value every time

Hope this helps

Morgan worked for three weeks during the summer earning money
on Mondays, Tuesdays, Wednesdays, Thursdays and Fridays. The
following matrix represents his earnings.
24 22 32
25 28 30
30 28 32
10 15 19
35 32 30
How much money did Morgan make in the first week?

Answers

The amount of money that Morgan was able to make in the first week would be $ 124

How to find the earnings with matrices ?

Matrices are mathematical objects which have a rectangular array of numbers, symbols, or expressions laid out in rows and columns. Each element is identified by its row and column location inside the matrix.

The columns have five entries which means that this must be the amount earned per day of a week. The first week earnings would therefore be:

= 24 + 25 + 30 + 10 + 35

= $ 124

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construct a right-angled triangle ABC where angle A =90 degree , BC= 4.5cm and AC= 7cm. please ans fast........ Very urgent. Pls don't give wrong answers

Answers

Answer and Step-by-step explanation: The described right triangle is in the attachment.

As it is shown, AC is the hypotenuse and BC and AB are the sides, so use Pytagorean Theorem to find the unknown measure:

AC² = AB² + BC²

\(AB^{2} = AC^{2}-BC^{2}\)

\(AB =\sqrt{AC^{2}-BC^{2}}\)

\(AB =\sqrt{7^{2}-4.5^{2}}\)

\(AB =\sqrt{28.75}\)

AB = 5.4

Then, right triangle ABC measures:

AB = 5.4cm

BC = 4.5cm

AC = 7cm

construct a right-angled triangle ABC where angle A =90 degree , BC= 4.5cm and AC= 7cm. please ans fast........

i need some help 3z2−6z3z2−6z for z=5

Answers

um that would be -900

Josh bought 6 CDs that were each the same price. Including sales tax, he paid a total of $106.20. Of that total, $5.40 was tax. What was the price of each CD before tax?

Answers

Answer:

16.809 was the price of each CD before tax

Other Questions
a store marks up the wholesale price of a skateboard by 112%. The retail price is $35. What is the wholesale price of the skateboard? Which of the following statements are true about proteins? Mark any or all that apply. As described in class, there is just one basic type of protein secondary structure, alpha helices The primary structure of proteins link amino acids together via peptide bonds Proteins may be composed of different structural domains, each with its own function Unlike sugars, amino acids as a rule do not have chiral centers and do not display "handedness" All twenty types of amino acids are equally likely to be present in the interiors of globular proteins The arrows on either side of the fault represent the relative movement of thetwo tectonic plates. What type of boundary is represented in the diagram?a)subduction b)convergentc)divergent d)transform describe two psychiatric treatment options for children and adolescents that may not be used when treating adults. In 1929, American astronomer Edwin Hubble discovered that distant galaxies were moving away from us. He found that light from distant objects in the universe shifted in frequency towards the red color on the electromagnetic spectrum, which tells us that the objects are receding away from us.What phenomenon is described in the passage above? Select the best answer from the choices below. aThe Doppler Shift bHubble's Law cThe Big Bang dDark matter the thin vs thick client distinction in personal computing hardware involves: group of answer choices physical thickness of the device level of processing size of the disk drives size of the screen Question 6 [11 points] The supply of gazebos bas given by P=2.0.50 centand a given by 14. Aspecte tax or per inte typened and that is the supply cut so P1+0.50 *) Solve for the equilibrium price and quantity before and after the Equilibrium price before tax-30 equilibrium quantity before tako Equilibrium price after tax 50 Equilibrium quantity w b) Draw the demand curve and we supply Curves Demand c) What are the causes of Green House Effect? sweat pores in the skin release water and various other substances onto the surface of the skin. what physical property of water allows sweating to reduce body temperature? a. lower density in the solid phase b. high heat capacity c. low heat capacity d. high surface tension Which of the following statement about market efficiency is true? A. Pricing efficiency refers to transaction costs being as low as possible and required trading should be quickly effected B. Behavioural finance cannot help to explain stock market crashes C. Run test try to identify any significant long-term relationships in security price movements by filtering out short-term price changes D. If the market is weak form efficient it is not possible to make gains by acting on new information. E. In a strong form efficient capital market, shares reflect only public information F. Insider trading cannot give abnormal returns in a strong form efficient capital market? 2. Which statement below is the hypothesisof the following conditional.If I can play the clarinet, then I can join an orchestra.a. I can play the clarinet.b. I can join an orchestra. .Setting can revealA.character's outlookB.character's personalityC.character's choicesD. character's journey Why did Cortez conquer the Aztec empire 12 meters in 28 secounds? 3. Compared to World War I, World War II was a much morewar.O A. solitary.O B. mobile.O C. psychologicalO D. total. Bingerton industries began the year with inventory of$85,000. Purchases of inventory on account during the year totaled $310,000. Inventory costing $335,000 was sold on accountfor $520,000. Consider a car of mass 5000kgs being pushed around a circular track of Radius 75mtrs with a constant speed of 16.67 m/sec. Determine the following,1. Time taken to cover 100kms2. torque required for a single rotation (each sector of 360 degree, consider 10 degree of equal spacing)3. banking angle please help on this geometry question if you posit that a relationship between two variables will be either positive or negative, what type of test should you use? group of answer choicesA. cohens d B. two-tailed C. one-tailed D. anova coupled reactions: group of answer choices are reactions in which a endergonic reaction drives an exergonic reaction are reactions in which a exergonic reaction drives a spontaneous reaction are reactions in which a exergonic reaction drives an endergonic reaction are reactions in which a endergonic reaction drives a spontaneous reaction