Which type of line symmetry does the figure have?


C


vertical

horizontal

diagonal

none of the above

Answers

Answer 1

To determine the line symmetry of your figure (C), examine the shape and try to identify if it can be divided into mirror-image halves using any of these lines. If so, that will be the type of line symmetry it has. If not, choose "none of the above."


1. Vertical line symmetry: A figure has vertical line symmetry when it can be divided into two equal halves by a vertical line, and the halves are mirror images of each other.

2. Horizontal line symmetry: A figure has horizontal line symmetry when it can be divided into two equal halves by a horizontal line, and the halves are mirror images of each other.

3. Diagonal line symmetry: A figure has diagonal line symmetry when it can be divided into two equal halves by a diagonal line, and the halves are mirror images of each other.

4. None of the above: If the figure cannot be divided into equal halves by any line (vertical, horizontal, or diagonal) and have mirror-image halves, then it does not have any line symmetry.

To know more about symmetry visit :

https://brainly.com/question/1597409

#SPJ11


Related Questions

Mr. Slovena used $37 from his savings account to pay for a plumbing repair. He used another $122 from the account for materials for landscaping. He used $85 earned from a garage sale to make a deposit to the account.

Answers

Answer:

you didn't finish the question

Step-by-step explanation:

37+122=159

-159

+122

it will be the (starting amount in the account)-159+122=___

Stock market at the beginning of the day the stock market goes up 40 1/2 points and stays at this level for the most of the day. At the end of the day stock market goes down 120 3/4 points from the high at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?


The total change in the stock market is _ points


(type an integer, proper fraction, or mixed number)

Answers

The total change in the stock market is 161 1/4 points.

The sum of the interior angles of a regular polygon is 2 , 880 ° . Find the number of sides of the polygon.

Answers

Answer:

Sum of the interior angles = 2,880° Therefore, assuming a convex or regular polygon and using the summation formula (n - 2) 180°, we have

(n - 2) 180° = 2,880° Solve for n

n - 2 = 16 Add 2 to both sides of the equation

n = 18

Step-by-step explanation:

(n - 2) 180° = 2,880° Solve for n

n - 2 = 16 Add 2 to both sides of the equation

n = 18

amelia’s bank account earns interest annually. the equation shows her starting balance of $200 and her balance at the end of four years, $220.82. at what rate, r, did amelia earn interest?

Answers

Answer: $50

Step-by-step explanation:

I dont know the answer please help me yall

I dont know the answer please help me yall

Answers

Answer:

180 customers made additional purchases

Step-by-step explanation:

In order to find the percent of something like 72% of 250 you need to convert the percentage to a decimal and multiply it to the number.

0.72 * 250 = 180

Answer:

180 customers

Step-by-step explanation:

Since 72% of the customers made additional purchases and there were 250 customers, we need to look for 72% of 250. To do this we convert 72 into a fraction, which makes it 0.72 and we turn the word "of" into a multiplication symbol (as of most commonly means multiplication in math). So, 0.72*250=180. Therefore, 180 customers made additional purchaces.

HELP WILL GIVE BRAINLY IF YOU GET IT CORRECT, RSM SO THERE IS ALSO A DOMAIN AND SIMPLIFY

HELP WILL GIVE BRAINLY IF YOU GET IT CORRECT, RSM SO THERE IS ALSO A DOMAIN AND SIMPLIFY

Answers

Answer: (2y-3x)/(2y+3x), domain is y ≠ 1.5x

Step-by-step explanation:

9x^2 + 4y^2 - 12xy is a perfect square, simplifying to (2y-3x)^2 or (3x-2y)^2, order doesn't matter but we keep the first one because it simplifies later.

4y^2 - 9x^2 is a difference of two squares simplifying to (2y+3x)(2y-3x)

Our equation is now ((2y-3x)^2)/(2y+3x)(2y-3x)

Then, we can cross out one of the (2y-3x) from both sides, to simplify down to (2y-3x)/(2y+3x).

Now, to find domain, since we removed a value from the denominator, we have to specify that in the domain, this case being 2y -3x ≠ 0, which is y ≠ 1.5x

Answer:

Nothing

Step-by-step explanation:

Other person deserves brainliest.

find the 4 × 4 matrix that produces the described transformation, using homogeneous coordinates. translation by the vector (4, -6, -3)

Answers

This is the desired 4x4 matrix that produces the translation by the vector (4,-6,-3) using homogeneous coordinates.

To find the 4x4 matrix that produces a translation by the vector (4,-6,-3) using homogeneous coordinates, we start with the identity matrix:

[1 0 0 0]
[0 1 0 0]
[0 0 1 0]
[0 0 0 1]

We then replace the last column with the translation vector in homogeneous coordinates, which is [4, -6, -3, 1]:

[1 0 0 4]
[0 1 0 -6]
[0 0 1 -3]
[0 0 0 1]

This is the desired 4x4 matrix that produces the translation by the vector (4,-6,-3) using homogeneous coordinates.

To know more about matrix and coordinates, visit:

https://brainly.com/question/32069631

#SPJ11

Which of the following statements are correct regarding the relationship of pH
and

pK
a

? a. When pH1 and [A−]>[HA] b. When pH[A−] c. When pKa>pH, then [A−]/[HA]<1 and [A−]>[HA] d. When pH −

]/[A]<1 and [HA

]>[A]] e. When pH[HA]

Answers

The correct statements regarding the relationship of pH and pKa are: When pKa > pH, then [A-]/[HA] < 1 and [A-] > [HA] & When pH - pKa > 0, then [A-]/[HA] < 1 and [HA] > [A-].

Statement a is incorrect because it does not provide enough information to determine the relationship between pH and pKa.

Statement b is incorrect because it only mentions pH and [A-], but does not provide any information about the concentration of [HA] or the pKa.

Statement e is incorrect because it does not provide any information about the concentrations of [HA], [A-], or the pKa.

The correct statements (c and d) describe the relationship between the acid dissociation constant (pKa), the pH, and the relative concentrations of the acid (HA) and its conjugate base (A-).

When the pKa is greater than the pH, it indicates that the acid is mostly in its undissociated form (HA) and the concentration of the conjugate base ([A-]) is lower than the concentration of the acid ([HA]).

Learn more about pH from the given link

https://brainly.com/question/12609985

#SPJ11

solve for y 7y-3y=8
plzzzz answer
will give brainliest!!!!

Answers

7y - 3y = 8
4y = 8
y = 8/4
y = 2
Hope this helps :)

Answer:

Step-by-step explanation:

7y-3y= 4y

4y=8

Here when its like this we need y by itself, so you take out 4 by dividing 8 by 4.

y= 2

what is the area of this polygon?

what is the area of this polygon?
what is the area of this polygon?
what is the area of this polygon?

Answers

The area of the polygon on the graph is 4 units²

What is area of shape?

The area of shape is the space enclosed within the perimeter or the boundary of a given shape. Area is measured in unit²

The polygon can be divided into two equal triangles by drawing a line through A to C. The area of the two triangles is then added together to give the area of the polygon.

area of triangle = 1/2 bh

= 1/2 × 2 × 2

= 2 units²

area of the polygon = 2+2

= 4 units²

therefore the area of the polygon is 4 units²

learn more about area of shape from

https://brainly.com/question/25965491

#SPJ1

please help domain&range

please help domain&amp;range

Answers

Answer:

21, 7.5, -6

Step-by-step explanation:

Think of domain as x and range as y

okay so basically sense your range is (-6, 3, 12) and your function is

f(x) = -2/3x + 8

your domain values would be

21

7.5

-6

I suggest using desmos, it's very helpful, hope this helps

A bird is flying directly above a tree. You are standing 84 feet away from the base of the tree. The angle of elevation to the top of the tree is 38, and the angle of elevation to the bird is 60, what is the distance from the bird to the top of the tree

Answers

The distance from the bird to the top of the tree is 61.95 feet.

We have,

Angle of elevation to the top of the tree: 38 degrees.

Angle of elevation to the bird: 60 degrees.

Distance from the base of the tree to your position: 84 feet.

Let the distance from the bird to the top of the tree as 'x'.

Using Trigonometry

tan(38) = height of the tree / 84

height of the tree = tan(38) x 84

and, tan(60) = height of the tree / x

x = height of the tree / tan(60)

Substituting the value of the height of the tree we obtained earlier:

x = (tan(38) x 84) / tan(60)

x ≈ 61.95 feet

Therefore, the distance from the bird to the top of the tree is 61.95 feet.

Learn more about Trigonometry here:

https://brainly.com/question/12068045

#SPJ1

456 + 788 - 129 x 9 = ?

Also wanna converse? Lol

Answers

\(456+788-129\cdot \:9\\\\129\cdot \:9=1161\\\\456+788=1244\\\\1244-1161=83\\\\=83\)

Yeah that should be right and sure

Find the area of the regular pentagon. WILL GIVE BRAINLIEST!

Find the area of the regular pentagon. WILL GIVE BRAINLIEST!

Answers

Answer: 61.5

Step-by-step explanation:

Area of a regular pentagon= pa/2

Perimeter: 30

Apothem is shown as 4.1

30*4.1= 123

123/2

61.5

pls mark me brainliest if im right

if f(x) + x2[f(x)]5 = 34 and f(1) = 2, find f '(1).

Answers

if f(x) +\(x^{2}\)  \([ f(x) ]^{5}\)  = 34 and f(1) = 2, then f '(1) = - \(\frac{64}{81}\)

f ′(x )'s indicates that it is derived from f (x). The second notation is dydx. The instantaneous rate at which y changes in relation to x is shown by this notation.

f(x) + \(x^{2}\)  \([ f(x) ]^{5}\)  =  34

differentiate with respect to x :

f' (x) + \(x^{2}\) . 5 \([ f(x) ]^{4}\) f'(x) +  \([ f(x) ]^{5}\)  2x = 0

putting x = 1

f' (1) + \(1^{2}\) . 5  \(f(1)^{4}\) f'(1) + \(f(1)^{5}\) 2(1) = 0

f' (1) + 1.5 \((2)^{4}\) f'(1) + \((2)^{5}\) . 2 = 0

f' (1) + 80 f' (1) = - 64

81 f' (1) = - 64

f' (1) = - \(\frac{64}{81}\)                    

thus , the f ' (1) is found.

For more such questions on Differentiation :

brainly.com/question/24062595

#SPJ4

in the early 1970s, the five mainline churches (baptist, episcopalian, lutheran, methodist, and presbyterian) accounted for about 65% of the total protestant membership. in 2006 that rate had

Answers

In 2006, the five mainline Protestant churches accounted for 83% of the total Protestant membership.

In 2006, the combined membership of the five mainline Protestant churches (Baptist, Episcopal, Lutheran, Methodist, and Presbyterian) was approximately 65% of the total Protestant membership. This can be expressed as a formula:

Proportion of Mainline Protestant Membership = (Baptist Membership + Episcopal Membership + Lutheran Membership + Methodist Membership + Presbyterian Membership) / Total Protestant Membership

To calculate the proportion of mainline Protestant membership in 2006, we can apply the formula:

Proportion of Mainline Protestant Membership = (9,277,000 + 2,231,000 + 5,255,000 + 8,422,000 + 2,866,000) / (14,280,000 + 9,277,000 + 2,231,000 + 5,255,000 + 8,422,000 + 2,866,000)

Proportion of Mainline Protestant Membership = 29,106,000 / 35,050,000

Proportion of Mainline Protestant Membership = 0.83, or 83%

Therefore, in 2006, the five mainline Protestant churches accounted for 83% of the total Protestant membership.

Learn more about total here:

https://brainly.com/question/3589613

#SPJ4

the demand equation for video games is given by x = 960 − 30p where x is the number of video games and p is in dollars. find the value of p that maximizes the total revenue.

Answers

Value if p is $16 which maximizes the total revenue.

How to find the value of p that maximizes the total revenue?

We need to first find the total revenue equation and then maximize it. Here are the steps:

Step 1: Write the demand equation.
x = 960 - 30p

Step 2: Write the total revenue equation.
Total Revenue (R) = price (p) × quantity (x)
R = px

Step 3: Substitute the demand equation into the total revenue equation.
R = p(960 - 30p)

Step 4: Simplify the total revenue equation.
R = 960p - 30p²

Step 5: Differentiate the total revenue equation with respect to p.
dR/dp = 960 - 60p

Step 6: Set the derivative equal to zero to find the critical points.
0 = 960 - 60p

Step 7: Solve for p.
60p = 960
p = 960/60
p = 16

So, the value of p that maximizes the total revenue is $16.

Learn more about total revenue equation.

brainly.com/question/31008449

#SPJ11

Amanda teaches the art of quilling to 4 students. These students each teach the art of quilling to 4 other students. This process continues through 3 more generations.

Answers

4x4=16 16x3=48 so I think the answer is 48

what is the probability a person is using a 3-month new member discount if the person has been a member for more than a year?

Answers

This estimation is speculative and may not accurately reflect the actual probability in the given context.

How to determine the probability that a person is using a 3-month new member discount?

To determine the probability that a person is using a 3-month new member discount given that they have been a member for more than a year, we would need additional information such as the total number of members, the number of members using the discount, and the distribution of membership lengths.

Without this information, it is not possible to calculate the probability directly. However, we can make some assumptions to provide a general idea.

Assuming that the new member discount is only available to new members for the first three months of their membership and that the number of members who have been a member for more than a year is significant, we can estimate that the probability of a person using the 3-month new member discount in this scenario is likely to be low.

This assumption is based on the understanding that the longer a person has been a member, the less likely they are to still be eligible for or make use of a new member discount.

It's important to note that without specific data or a more detailed understanding of the membership characteristics and behavior, this estimation is speculative and may not accurately reflect the actual probability in the given context.

Learn more about probability

brainly.com/question/32117953

#SPJ11

Find the total value of the income stream, \(R\left(t\right)=30,000+3,000t, \:0\le t\le5,1V)at the end of the given interval. 187,500

Answers

The total value of the income stream would be $187,500.

WE are given that integral of R(t) with respect to t ∫[0,5] R(t) dt = ∫[0,5] (30,000 + 3,000t) dt

To determine the total value of the income stream, we need to evaluate the definite integral of the function R(t) over the given interval. The integral of R(t) with respect to t is:

∫[0,5] R(t) dt = ∫[0,5] (30,000 + 3,000t) dt

Evaluating this integral gives:

∫[0,5] R(t) dt = (30,000t + 1,500t²) [0,5]

= (30,000(5) + 1,500(5²)) - (30,000(0) + 1,500(0²))

= 187,500

Therefore, the total value of the income stream is 187,500.

Learn more about integral here;

https://brainly.com/question/31433890

#SPJ4

evaluate g(x) = 4 - 3x when x = -3, 0, and 5

please help im really struggling

Answers

when x = -3, the answer is 13

when x = 0, the answer is 4

when x = 5, the answer is -11

what i did to get this was use 4-3(x) don’t look at the g(x), it’ll just confuse you

replace the x with the x they provide you to get each answer

ex: 4-3(-3) =13


What transformation is needed to go from the graph of the basic function
f(x)=√x
to the graph of
g(x)=-√ (x-10)
a) Reflect across the x-axis, and shift up 10 units.
b) Reflect across the x-axis, and shift right 10 units.
c) Reflect across the y-axis, and shift right 10 units.
d) Reflect across the x-axis, and shift left 10 units.
e) Reflect across the y-axis, and shift left 10 units.

Answers

The transformation needed to go from the graph of the basic function f(x) = √x to the graph of g(x) = -√ (x - 10) is option D.

Reflect across the x-axis, and shift left 10 units.

Reflect across the x-axis, and shift left 10 units is correct because

g(x) = -√ (x - 10) is a reflection of the basic function f(x) = √x across the

x-axis and a shift of 10 units to the right along the x-axis.

Let's examine these transformations in detail;

If we take the basic function f(x) = √x, and reflect it across the x-axis, we get the graph of g(x) = -√x.

We get the reflection because the negative sign (-) means we flip the graph over the x-axis, this changes the sign of the y-coordinate of each point of the graph.

The shift of 10 units to the right along the x-axis is achieved by replacing x in the basic function with (x - 10), that is;

f(x) becomes f(x - 10),

which in this case will be g(x) = -√ (x - 10).

Hence, option D is the correct answer.

To know more about transformation, visit:

https://brainly.com/question/11709244

#SPJ11

plsssssssssss help me

plsssssssssss help me

Answers

Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

Please help, 16 points and i’ll mark you as brainlest

Please help, 16 points and ill mark you as brainlest

Answers

I think this is the answer, sorry I am not 100% sure

Please help, 16 points and ill mark you as brainlest

a bin of candy holds 10 1/2 lbs. how many 3/4 lb boxes of candy can you put in the bin

Answers

You can put 14 boxes of candy weighing 3/4 lb each in the bin.

To determine how many 3/4 lb boxes of candy can fit in a bin, we divide the total weight of the bin by the weight of each box.

First, let's convert the mixed number 10 1/2 lbs to an improper fraction.

10 1/2 lbs = (10 * 2 + 1) / 2 = 21/2 lbs

Next, we divide the total weight of the bin (21/2 lbs) by the weight of each box (3/4 lb):

(21/2 lbs) / (3/4 lb) = (21/2) * (4/3) = (21 * 4) / (2 * 3) = 84/6 = 14

As a result, you can fill the bin with 14 boxes of sweets that each weigh 3/4 lb.

Learn more about capacity at https://brainly.com/question/14828811

#SPJ11

Which equation demonstrates the distributive property?
Responses
A 15 x 40 = 40 x 1515 x 40 = 40 x 15
B (3 + 8)5 = 5(3 + 8)(3 + 8)5 = 5(3 + 8)
C 15 + 40 = 5515 + 40 = 55
D 15 + 40 = 5(3 + 8)

Answers

none of them

c cc c c c c c c c c c c c c c c c c

Which expressions can you form by rearranging x+x+x+1+1+1+1+(-1)+(-1)+(-1)+(-x) Check all that apply.
A) x – x + 2x – 2 + 4
B) 3x + 4 – 3 – x
C) 4x + 1
D) 2x + 1
E) 2x + 4 – 3

Answers

Answer:

The correct options are;

B) 3x + 4 – 3 – x

D) 2x + 1

E) 2x + 4 – 3

Step-by-step explanation:

Which expressions can you form by rearranging x+x+x+1+1+1+1+(-1)+(-1)+(-1)+(-x) Check all that apply.

A) x – x + 2x – 2 + 4

B) 3x + 4 – 3 – x

C) 4x + 1

D) 2x + 1

E) 2x + 4 – 3

x+x+x+1+1+1+1+(-1)+(-1)+(-1)+(-x)

positive sign  multiply by negative sign will give a negative sign, hence;

x+x+x+1+1+1+1-1-1-1-x

Rearranging the equation;

x + x + x -x+ 1+1+1+1 -1-1-1

=3x -x + 4 -3

=2x + 1

We can also re-arrange it to give 3x + 4 - 3 -x

because

3x + 4 -3 -x

=3x -x + 4 -3

=2x + 1

Also, we can re-arrange it to give 2x + 4 - 3

since 2x + 4 - 3 = 2x + 1

The correct options are;

B) 3x + 4 – 3 – x

D) 2x + 1

E) 2x + 4 – 3

Answer:

Step-by-step explanation:

Which expressions can you form by rearranging x+x+x+1+1+1+1+(-1)+(-1)+(-1)+(-x) Check all that apply.

Let W
be a subspace of Rn
spanned by n
non-zero orthogonal vectors. Show that W=Rn
.

Answers

W and is orthogonal to all vectors in W except itself, we have shown that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W, and hence W=Rn.

To show that W=Rn, we need to show that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W.

Let v be any vector in Rn. Since the n non-zero orthogonal vectors span W, we can write v as a linear combination of them:

v = c1v1 + c2v2 + ... + cnvn

where c1, c2, ..., cn are scalars, and v1, v2, ..., vn are the n non-zero orthogonal vectors that span W.

To show that v is in W, we need to show that v is orthogonal to all vectors in W except itself. Since the n non-zero orthogonal vectors are linearly independent, any linear combination of them that is orthogonal to v must be the zero vector.

Therefore, if w is any vector in W that is not equal to v, we have:

=  = c1 + c2 + ... + cn = 0

since v is orthogonal to all the non-zero orthogonal vectors. This means that v is orthogonal to all vectors in W except itself.

Therefore, since v is in W and is orthogonal to all vectors in W except itself, we have shown that any vector in Rn can be written as a linear combination of the n non-zero orthogonal vectors that span W, and hence W=Rn.

Know more about Non-zero orthogonal vectors here:

https://brainly.com/question/30264840

#SPJ11

PLEASE HELPP DUE TODAYYYY:what is the LDC least common denominator

PLEASE HELPP DUE TODAYYYY:what is the LDC least common denominator

Answers

I believe the least common denominator is six.


Diberi x = 2 dan y = -7. Cari nilai bagi setiap ungkapan berikut.
(a) 2x - y
(b) x - 4y + 8​

Answers

(a) 2x - y

Answer :
2(2) - (-7)
= 11

(b) x - 4y + 8

Answer :
2 - 4(-7) + 8
= 38
Other Questions
The stickers Mai wants come in bags of 8.She needs 27 of these stickers for her art project. How many bags does she need? Determine how many grams of each of the following solutes would be needed to make 2.50 X 102 mL of a 0.100 M solution: a. cesium iodide (CSI)b. sulfuric acid (H2SO4) copying and pasting from the internet can be done without citing the internet page, because everything on the internet is common knowledge and can be used without citation. t or f What is the slope of the line segment? answer choices 1/4 1/4 4 4 using python Write a program that determines if the user can legally vote. Voters must be USA citizens and at least 18 years of age. Your program should verify both of these requirements before making a positive determination. See possible Sample Outputs. Note that the citizen question should not be asked if the user fails to meet the age requirement.Sample Output 1Enter your age 17Sorry, you must be 18 to voteSample Output 2Enter your age 18Are you a US citizen? y/n nYou are old enough but only citizens can vote Sample Output 3Enter your age 22Are you a US citizen? y/n yYou can legally vote 2 (MC)Which statement describes President Theodore Roosevelt's attitude about U.S. relations with Latin America? (3 points)The United States should not get involved in Latin American affairs under any conditions.The United States should intervene in Latin American nations if U.S. interests are involved.The United States should use foreign aid to help poor and exploited people in Latin America.The United States should help Latin American nations gain independence from European powers. tell of a time when you learned something new. What steps did you take to learn it?I NEED EXAMPLES! PLS HELP! GIVING 10 POINTS! BigCo is buying LittleCo, and they are paying in shares. BigCo has levered cash flows of $400,000 per year in perpetuity, 5000 shares outstanding, and a levered cost of equity of 13%. LittleCo has levered cash flows of $75,000 per year in perpetuity, 1000 shares outstanding, and a pre-merger levered cost of equity of 19%. After the merger, BigCo can share their risk management expertise and access to capital markets with LittleCo, dropping their cost of levered equity to the same level as BigCo's. If BigCo wants to give LittleCo shareholders 20% of the synergies, how many new shares should they issue to compensate LittleCo shareholders? b) What are two reasons that BigCo might have chosen to pay in shares? If you were a LittleCo shareholder, would the way BigCo chose to pay make you more or less optimistic about the merger's prospects for success? a) b) variant a) You are considering a project that will cost $750,000 in upfront costs and will produce $90,000 per year in EBIT for the next 15 years. This project will be financed with 60% debt, 40% equity. You can borrow at 5.5% and pay a corporate tax rate of 28%. The asset beta for this project is 0.6, the riskless rate is 3%, and the expected return on an index fund is 16%. What is the NPV of this project, using the WACC method? b) Assuming all cash flows are perpetual, under what circumstances would you expect the FTE method to reject a project that the APV method would accept? What serious problem could this cause for a firm? = {y: y is a multiple of 3, 5 < y < 10} Write two lines of code to draw the following circles centered at 600,600. The radius of the smallest circle is 200. There are 50 points between the larger circle and the smaller circle. Chaplin talk to get a job in passage answer Your food truck at City Park is open year-round, but your sales are highest in the summer. Which action should you take in deciding whether or not to buy a newer food truck The cool ocean breeze cooled my face What is the simple subject feminist theorists are particularly interested in microfinancing because the majority of these loans The angle of refraction is measured between the refracted ray and what otherline?A. The reflected rayB. The normalC. The incident rayD. The boundary between the two materials The value of coin a is triple the value of coin b.together the total value of thebtwo coins is $48.00. What is the value of each coin Describe any two advantages of Botclouds for hackers over traditional Botnets. Describe any one attack that can be carried out by hackers using Botclouds.(4 marks) A popular restaurant only accepts dinner reservations for parties of 6 or more. A couple is celebrating their anniversary and asks several guests to join them. At least how many guests must confirm their attendance if the couple wishes to make dinner reservations? In a bag of marbles there are 2 blue marbles, 4 red marbles, and 4 green marbles. You pick three marbles out of a bag one at a time without replacement. How many ways can you pick two green marbles first and one red marble last? What is the standard free-energy change (G^o) for the conversion of pyruvate to lactate?Pyruvate + NADH + H^+ lactate + NAD^+Recall that G^o = -nF E^o and F = 96485 J/V *mol e- and E^o = -0.185Express answer in kJ.