Which glide reflection describes the mapping ABC DEF​. This is practice for me plz, give answer with explanation. Non-sense answer will get reported

Which Glide Reflection Describes The Mapping ABC DEF. This Is Practice For Me Plz, Give Answer With Explanation.

Answers

Answer 1

Answer:

c. translation (x,y) -> (x-4, y-1) followed by reflection about y=0

Step-by-step explanation:

The strategy is to translate B to E then reflect about the x-axis (y=0)

From B to E, the process is

(x,y) -> (x-4, y-1)

Therefore it is a translation (x,y) -> (x-4, y-1) followed by reflection about y=0


Related Questions

Scarlett Squirrel teaches a hula dancing class to young squirrels. 141414 squirrels showed up to class on Monday, 101010 squirrels on Tuesday, 888 squirrels on Wednesday, 101010 squirrels on Thursday, and 121212 squirrels on Friday. Find the mean number of the squirrels

Answers

Answer:

93107

Step-by-step explanation:

add all of the numbers together

divide by 5 since there are 5 numbers

you would get 92106.8

so round that up since you cannot have 1/8 of a squirrel

Hope this helps!!

Write each of the following expressions without using absolute value.

|a−7|−|a−9|, if a<7
PLEASE HELP!!!! D:

Answers

Answer:  -2

=======================================================

If a < 7, then |a-7| = -(a-7) = -a+7 based on how absolute value functions are constructed. We're using the idea that

[tex]|x-k| = \begin{cases}x-k \ \text{ if } \ x \ge k\\ -(x-k) \ \text{ if } \ x < k\end{cases}[/tex]

Also, if a < 7, then |a-9| = -(a-9) = -a+9. This is true whenever 'a' is less than 9 for similar reasoning as above.

---------

So we have,

|a-7| - |a-9| = -a+7 - (-a+9) = -a+7+a-9 = -2

As long as a < 7, the result of |a-7| - |a-9| will always be -2.

---------

As an example, let's say a = 0

|a-7| - |a-9| = |0-7| - |0-9|

|a-7| - |a-9| = |-7| - |-9|

|a-7| - |a-9| = 7 - 9

|a-7| - |a-9| = -2

I recommend you try out other values of 'a' to see if you get -2 or not. Of course only pick values that are smaller than 7.

3/x-2, i'm confused as to what the horizontal asymptote is. The resources I found online conclude that it has a horizontal asymptote of y=0. I know that in order for a horizontal asymptote to be y=0, the denominator has to have a greater degree than the numerator. Im confused because doesn't the numerator have the same degree as the denominator (degree of 1)?

Answers

Answer:

y = 0

Step-by-step explanation:

Given

f(x) = [tex]\frac{3}{x-2}[/tex]

The degree of the numerator is zero 0 (  3[tex]x^{0}[/tex] )

The degree of the denominator is 1

Since the degree of denominator > degree of numerator.

Then there is a horizontal asymptote at y = 0

A student stands 20 m away from the footof a tree and observes that the angle of elevation of the top of the tree, measured from a table 1.5 m above the ground, is 34°28'. Calculate the height of the tree tothe nearest metre.​

Answers

Answer:

6 to the north

Step-by-step explanation:

mark as brainliest

25 POINTS AND BRAINLIEST FOR THESE!

Answers

Answer:

Step-by-step explanation:

Hello,

For any function f which has an inverse function we can write

[tex]x=(f^{-1}of)(x)=(fof^{-1})(x)=f(f^{-1}(x))[/tex]

This is why, in practice, to find the inverse of f we will consider f(x) = y and we will look for x as a function of y, so we switch x and y and solve for y. Let's do it.

Step 1 - The function f(x) can be written as a variable.  [tex]\boxed{y}=f(x)[/tex]

f(x) = y = 5x + 2

Step 2 - switch the variables x <-> y

x = 5y + 2

subtract 2 to both parts of the equation

<=> x - 2 =  5y + 2 - 2 = 5y

divide by 5 both parts of the equation

[tex]<=> y=\dfrac{x-2}{5}[/tex]

It means that the inverse of f is as below.

[tex]\boxed{ \ f^{-1}(x)=\dfrac{x-2}{5}\ }[/tex]

Step 3 - Find the inverse of g(x)

We already found that the inverse of f is g, so the inverse of g is f.

Let's do it again.

[tex]g(x)=y=\dfrac{x-2}{5} \ \ \text{ switch x and y } \\ \\ x= \dfrac{y-2}{5} \ \ \text{ solve for y }\\ \\ y-2=5x \ \ \text{ mulitply by 5 both parts of the equation } \\ \\ y = 5x+2 \ \ \text{ add 2 to both parts of the equation }[/tex]

And we found what we already known, meaning f is the inverse of g.

[tex](gof)(x)=(fog)(x)=x[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answers and Step-by-step explanation:

Step 1:

We want to find the variable that ff(x) represents. Well, we know it can't be x because we already have x on the other side of the equation: ff(x) = 5x + 2.

So, ff(x) must equal y.

Since ff(x) = y, we know then that ff(x) = y = 5x + 2. And our equation is:

y = 5x + 2

Step 2:

Let's switch the variables now. This means that what used to be y will be x and what used to be x will be y:

y = 5x + 2  ⇒  x = 5y + 2

Subtract 2 from both sides:

5y = x - 2

Divide by 5 from both sides:

y = (x - 2)/5

Step 3:

Let's find the inverse of g(x) by doing the exact same thing as we did with ff(x):

g(x) = y = (x - 2)/5

Switch the variables:

y = (x - 2)/5  ⇒      x = (y - 2)/5

Multiply by 5 on both sides:

5x = y - 2

Add 2 to both sides:

y = 5x + 2

Notice that this is the exact same as ff(x)! This means that ff(x) and g(x) are inverses.

dentify the type of sampling used​ (random, systematic,​ convenience, stratified, or cluster​ sampling) in the situation described below. A researcher selects every 890 th social security number and researcher selects every 890th social security number and surveys surveys that the corresponding corresponding person.person. nothing nothing nothing Which type of sampling did the researcher researcher ​use

Answers

Complete Question:

Identify the type of sampling used​ (random, systematic,​ convenience, stratified, or cluster​ sampling) in the situation described below;

A researcher selects every 890th social security number and surveys the corresponding person. Which type of sampling did the researcher ​use?

Answer:

Systematic sampling.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Convenience sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Systematic sampling.

A systematic sampling is a type of probability sampling method which involves the researcher selecting or collecting data from a larger population.

Under systematic sampling method, samples are selected from an ordered (fixed) sample population at periodic interval. Therefore, numbers are assigned to every member of the population and then, the "nth" member are selected by the researcher after choosing a fixed starting point.

In this scenario, the researcher selects every 890th social security number and surveys the corresponding person.

Hence, the type of sampling used by the researcher ​is systematic sampling.

if 12 1/2% of a sum of money is $40, what is the TOTAL sum of money?

Answers

Answer:

$320

Step-by-step explanation:

Let the total sum of money be $x.

Therefore,

12 1/2% of x = 40

25/2% * x = 40

0.125 * x= 40

x = 40/0.125

x = $320

Thus, total sum of money is $320.

An electronics company designed a cardboard box for its new line of air purifiers. The figure shows the dimensions of the box.


The amount of cardboard required to make one box is___square inches.
a)130
b)111
c)109
d)84

Answers

Answer:

130

Step-by-step explanation:

just did test on plato/edmentum..it was correct

84 (the answer above) is incorrect

Answer:

Hi sorry for late respond but the answer in 130!!

Step-by-step explanation:

7 - 5x > 3x + 31
A.X2-3 (all numbers greater than or equal to -3 will satisfy the inequality)B.xs-3 (all numbers less than or equal to -3 will satisfy the inequality)
C.X26 (all numbers greater than or equal to 6 will satisfy the inequality)
D.xs 6 (all numbers less than or equal to 6 will satisfy the inequality)

Answers

Answer: B. (all numbers less than or equal to -3 will satisfy the inequality)

Step-by-step explanation:

Hi, to answer this question we have to solve the inequality for x:

7 - 5x > 3x + 31

7-31 > 3x +5x

-24 > 8x

-24/8 > x

-3 > x

x < -3

So, the correct option is:

B. (all numbers less than or equal to -3 will satisfy the inequality)

Feel free to ask for more if needed or if you did not understand something.

Need help with these last two questions, tysm if you do :D

Answers

Answer:

D.

A. x ≤ 1

Step-by-step explanation:

Well for the first question we need to simplify the inequality.

4x + 3 < x - 6

-x to both sides

3x + 3 < -6

-3 to both sides

3x < -9

Divide 3

x < -3

So if x is less than -3 than it goes to the left starting at -3.

So D. is the answer.

So to solve the floowing inequality we simplify, distribute, and combine like terms.

3(2x - 5) + 3 ≤ -2(x + 2)

6x - 15 + 3 ≤ -2x -4

6x -12 ≤ -2x - 4

8x - 12 ≤ -4

+12

8x ≤ 8

8/8

x ≤ 1

Hence the answer is A. x ≤ 1

38. Convert 85 to a number in base eight.
O 95 (base eight)
O 105 (hase eight)
O 115 (base eight)
O 125 (base eight)

Answers

Answer:

divide the number by 8 and write the remainder like this 10 r 5.Then you get your answer by going through the remainders in an upward direction. So the answer is 125

Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.

Answers

Answer:

0

Step-by-step explanation:

Answer: it's C. 0

Also Happy early Christmas

Angle 6 and 7, are complementary angles?

Answers

Answer:

Hey there!

Angle 6 and angle 7 are actually supplementary angles, which are angles that add to 180 degrees.

Complementary angles are angles that add to 90 degrees.

Hope this helps :)

Answer:

∠6 & ∠7 are not complementary angles

Step-by-step explanation:

∠6 & ∠7 are supplementary angles on a line

3. Callum rolled a single six sided die 12 times and it landed on a six, three of the times. The probability that it will land on a six on the 13th roll is?

Answers

Answer:

1/6

Step-by-step explanation:

Each roll is independent.  So the probability of rolling a six is 1/6, regardless of the previous rolls.

Lines L and K are parallel to each other. Measure of angle A= 120 degrees, and measure of angle C= 80 degrees. What is the number of degrees in measure of angle B? Please answer ASAP! Thanks!

Answers

Answer:

160°

Step-by-step explanation:

The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80  to get 110 than subtracted that from 180 to get 70. Lastly, i added 90°  to 70°  to get 160°

Hope this helped you get the answer :)

The measure of angle B in Parallel lines will be 160°.

What are parallel lines?

Parallel lines are those lines that never intersect at any point and always maintain a constant distance.

We have,

Lines L and K are parallel to each other.

And,

The measure of angle A = 120°

The measure of angle C = 80°

Now,

Draw a straight line from A to B,

So, that ∠BAl = 90° and

∠ABk = 90°

We get,

ΔABC,

Now in ΔABC,

∠C = 80°

∠A = 120 - 90 = 30°

So, Using Tringle angle sum property,

80° + 30° + ∠ABC = 180°

∠ABC = 180° - 110°

∠ABC = 70°,

Now,

Adding  ∠ABC and ∠ABk, to get  ∠CBk,

i.e.

∠CBk = ∠ABC + ∠ABk = 70° + 90°

∠CBk = 160°

Hence we can say that the measure of angle B will be 160°.

To learn more about Parallel lines click here,

https://brainly.com/question/16701300

#SPJ2

If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C prime? On a coordinate plane, triangle A B C has points (negative 1, 0), (negative 5, 2), (negative 1, 2). (–4, –7) (–4, 2) (2, –7) (2, 11)

Answers

Answer:

A ( -4, -7)

Step-by-step explanation:

if you translate -1, three units to the left u get -4 and then when u go nine units down u get -7 do it on a grid and u will see wut im talkin about : )

Answer:

A.

Step-by-step explanation:

4) Flying to Tahiti with a tailwind a plane averaged 259 km/h. On the return trip the plane only
averaged 211 km/h while flying back into the same wind. Find the speed of the wind and the
speed of the plane in still air.
A) Plane: 348 km/h, Wind: 37 km/h B) Plane: 243 km/h, Wind: 30 km/h
C) Plane: 235 km/h, Wind: 24 km/h D) Plane: 226 km/h, Wind: 13 km/h
fundraiser Customers can buy annle nies and

Answers

Answer: C) Plane: 235 km/h, Wind: 24 km/h

Step-by-step explanation:

Given that :

Average Speed while flying with a tailwind = 259km/hr

Return trip = 211km/hr

Let the speed of airplane = a, and wind speed = w

Therefore ;

Average Speed while flying with a tailwind = 259km/hr

a + w = 259 - - - (1)

Return trip = 211km/hr

a - w = 211 - - - (2)

From (2)

a = 211 + w

Substitute the value of a into (1)

a + w = 259

211 + w + w = 259

211 + 2w = 259

2w = 259 - 211

2w = 48

w = 48/2

w = 24km = windspeed

Substituting w = 24 into (2)

a - 24 = 211

a = 211 + 24

a = 235km = speed of airplane

Helpppppppppp pleasessssss

Answers

Answer:

A.

Step-by-step explanation:

When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.

The correct answer is D

ratio
simplify

4x:9=7:3

Answers

Answer:

4x:9=7:3 can be written as

[tex] \frac{4x}{9} = \frac{7}{3} [/tex]

Cross multiply

We have

4x(3) = 9 × 7

12x = 63

Divide both sides by 12

[tex]x = \frac{21}{4} \: \: \: \: \: or \: \: \: 5 \frac{1}{4} [/tex]

Hope this helps you

Answer:

[tex]\boxed{x=\frac{21}{4}}[/tex]

Step-by-step explanation:

[tex]4x:9=7:3[/tex]

Turn ratios to fractions.

[tex]\frac{4x}{9} =\frac{7}{3}[/tex]

Cross multiplication.

[tex]4x \times 3 = 9 \times 7[/tex]

Simplify.

[tex]12x=63[/tex]

Divide both sides by 12.

[tex]x=\frac{63}{12}[/tex]

[tex]x=\frac{21}{4}[/tex]

Bruhhh I need help dude !!!

Answers

Answer:

(B), in which the first two values are 2 and 10.

Step-by-step explanation:

We can tell that this is a proportional relationship because we can examine the numbers in there.

(2,10)

(4,20)

and (6,30).

If you notice, the x value times 5 gets us the y value for every single point there.

Therefore, B is proportional and it's equation is y = 5x.

Hope this helped!

Answer:

B.

Step-by-step explanation:

B. Is the only one that proportional because,

(2,10)

(4,20)

(6,30)

All these x values multiply by 5 to get the y value.

So the equation is y = 5x meaning it is linear and it goes through the origin which makes it proportional.

Thus,

answer choice B is correct.

Hope this helps :)

I need this done help!!

Answers

Answer:

Because the triangle is isosceles, the base angles are congruent, meaning that the angles that are not right angles are x and x. Since the sum of angles in a triangle is 180°, we can write:

90 + x + x = 180

x + x = 90

2x = 90

x = 45°

Answer:

45 degrees

Step-by-step explanation:

This triangle is "isosceles..." two legs are equal.  Thus, the triangle has two 45 degree angles.  The indicated angle is 45 degreees.

The sum of ages Afful and Naomi is 34. In 5 years time , Afful will be 2 times the age on Naomi now. How old are they now.

Answers

Answer:

Afful is 21 and Naomi is 13.

Step-by-step explanation:

Let [tex]A[/tex] represent the age of Afful and [tex]N[/tex] represent the age of Naomi.

The sum of their ages is 34. In other words:

[tex]A+N=34[/tex]

In 5 years time, Afful will be two times the age of Naomi now. In other words:

[tex]A+5=2N[/tex]

Solve for the system. Substitute.

[tex]A+N=34\\A=34-N\\34-N+5=2N\\39=3N\\N=13\\\\A=34-N\\A=34-(13)\\A=21[/tex]

Afful is currently 21 and Noami is currently 13.

Answer:

Naomi=x

Afful=2x

In 5 years time= +5

So Naomi=x+5

and and Afful=2x+5

=x+5+2x+5=34

=3x+10=34

Subtract 10 on both sides

3x=24

Divide 3 on both sides

X=8

Check:

X=8

Naomi=16

In 5 years

=16+5=21

Naomi=8+5=13

13+21=34

Hope this helps

Step-by-step explanation:

PLEASE HELP!!!

Rectangle EFGH is reflected across the origin and then rotated 90° clockwise about the origin, forming rectangle E″F″G″H″. What are the coordinates of rectangle E″F″G″H″?


(A.) E″ (1, –5), F″ (1, –1), G″ (4, –1), H″ (4, –5)

(B.) E″ (–1, –5), F″ (–1, –1), G″ (–4, –1), H″ (–4, –5)

(C.) E″ (–1, 5), F″ (–1, 1), G″ (–4, 1), H″ (–4, 5)

(D). E″ (5, 1), F″ (1, 1), G″ (1, 4),
H″ (5, 4)

Answers

Answer:

c.

Step-by-step explanation:

90 degrees clockwise is (x,y)-(y,-x)

Answer:

The answer is A

Step-by-step explanation:

Took the test

Identify which of these designs is most appropriate for the given​ experiment: completely randomized​ design, randomized block​design, or matched pairs design.
A drug is designed to treat insomnia. In a clinical trial of the​ drug, amounts of sleep each night are measured before and after subjects have been treated with the drug.
The most appropriate is (randomized block, matched pairs, completly randomized) design.

Answers

Answer:

Matched pairs design

Step-by-step explanation:

Looking at the options;

-It's not a completely randomized design because a randomized design will assign all individuals to a group which in this case it doesn't.

- It's not a randomized block design because randomized block design will group the subjects in question into 2 or more blocks which have a common characteristic and will then randomly assign subjects in each of the blocks.

-It's a matched pair because every individual/subject undergoes measurements both before and after being treated with the drugs.

Thus, the correct option is matched pairs design.

The perimeter of a rectangle is 141 feet, and the length is twice the width. What are the dimensions ?

Answers

Answer:

The width is 23.5 ft and the length is 47 ft

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)

141 = 2(l+w)

The length is twice the width

l = 2w

141 = 2 ( 2w+w)

141 = 2( 3w)

141 = 6w

Divide each side by 6

141/6 = 6w/6

23.5 = w

l = 2w = 2(23.5) = 47

The width is 23.5 ft and the length is 47 ft

Answer:

[tex]\boxed{Width = 23.5 \ feet}[/tex]

[tex]\boxed{Length = 47 \ feet}[/tex]

Step-by-step explanation:

Let Length be l and Width be w

Perimeter = 2(Length) + 2(Width)

Condition # 1:

2l+2w = P

=> 2 l + 2 w = 141

Condition # 2:

=> l = 2w

Putting the second equation in the first one

=> 2(2w)+2w = 141

=> 4w + 2w = 141

=> 6w = 141

Dividing both sides by 6

=> Width = 23.5 feet

Given that

=> l = 2w

=> l = 2(23.5)

=> Length = 47 feet

A combination lock has 6 different numbers. If each number can only be used ONCE, how many different combinations are possible?

Answers

A 'number' can be 0,1,2,3,4,5,6,7,8,9
There are ten options for each number.
If there are 6 numbers, there are 10^6 different combinations.

Answer:

151200 possible combinations

Step-by-step explanation:

There are 10 digits 0 - 9  ( 0,1,2,3,4,5,6,7,8,9)

There are 10 choices for the first digit

10

There are 9 choices for the second digit

9

There are 8 choices for the third digit

8

and so on  since we can only use each digit once

10 *9*8 *7 *6*5

151200 possible combinations

Please answer this in two minutes

Answers

Answer: 1080 degrees

Hoped this helped :)

If you had a cube with a side length of 4, how can your write the calculations in exponential form? What are 2 other ways to read the exponent verbally?

Answers

Answer: 4^3

(Four cubed or Four to the power of 3)

Step-by-step explanation:

A standard deck of of 52 playing cards contains 13 cards in each of four suits : diamonds, hearts , clubs and spades. Two cards are chosen from the deck at random.

Answers

Answer:

Probability of (one club and one heart) = 0.1275 (Approx)

Step-by-step explanation:

Given:

Total number of cards = 52

Each suits = 13

FInd:

Probability of (one club and one heart)

Computation:

Probability of one club = 13 / 52

Probability of one heart = 13 / 51

Probability of (one club and one heart) = 2 [(13/52)(13/51)]

Probability of (one club and one heart) = 0.1275 (Approx)

Answer:

D. 0.1275

Step-by-step explanation:

Justo took the Pre-Test on Edg (2020-2021)!!

identify the coefficient of x

1. 3xy³

2. xy
___
5

3. 3
___ x y
4

4. 3
___ x²y
4​

Answers

Answer:

3

1/5

3/4

3/4

Step-by-step explanation:

Coefficient is a number that is always written in front of a term.

3xy^3=3

xy/5=1/5

3/4xy=3/4

3/4x^2y=3/4

Hope this helps ;) ❤❤❤

Other Questions
Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger canister is double the size of the small canister (i.e., the diameter and height are doubled). Calculate the volume and surface area of each canister and compare the results of doubling the dimensions. Expression Name Expression E 3.8 + 0 F 0 + 0.5 G 8 + 0 H 9 0 The table above shows four numeric expressions. Which expression is an integer when it's evaluated? Question 2 options: A) H B) E C) F D) G To work on your car at night, you use an extension cord to connect your work light to a power outlet near the door. How would the illumination provided by the light be affected by the length of the extension cord Which is the definition of a rhombus?a. A quadrilateral with four right anglesb. A quadrilateral with four congruent sidesc. A quadrilateral with interior angles that sum to 360d. A quadrilateral with two pairs of opposite congruent sides hellpp plzzzzz....... Zack is driving past his house. He wants to toss his physics book out the window and have it land in his driveway. If he lets go of the book exactly as he passes the end of the driveway. Should he direct his throw outward and toward the front of the car (throw 1), straight outward (throw 2), or outward and toward the back of the car (throw 3)? Explain. A record player rotates a record at 45 revolutions per minute. When the record player is switched off, it makes 4.0 complete turns at a constant angular acceleration before coming to rest. What was the magnitude of the angular acceleration (in rads/s2) of the record as it slowed down Find the angle measures given the figure is a rhombus. m= On an uphill hike Ted climbs at 3mph. Going back down, he runs at 5mph. If it takes him forty minutes longer to climb up than run down, then what is the length of the hike? if possible, I would like a clear equation. A Young'sdouble-slit interference experiment is performed with monochromatic light. The separation between the slits is 0.44 mm. The interference pattern on the screen 4.2 m away shows the first maximum 5.5 mm from the center of the pattern. What is the wavelength of the light in nm Verify Identities: seca=1/1-sina this is the question pls help me 4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression. Cora spends her time in North Carolina reading in the attic. Herreading material includes a Bible and almanacs, which "Coraadored ... for containing the entire world" (183). How does the actof reading, and of literacy, help Cora be free? What might thesignificance of what she reads suggest about her growingunderstanding of the world? Think, too, about how the Bible andreligion are used by Ethel and Ridgeway to justify slavery: "If Godhad not meant for Africans to be enslaved, they wouldn't be inchains" (195), and about Cora's observation: "Slavery is a sinwhen whites were put to the yoke, but not the African" (182). Need help finding the length A company uses the weighted-average method for inventory costing. At the end of the period, 19,000 units were in the ending Work in Process inventory and are 100% complete for materials and 68% complete for conversion. The equivalent costs per unit are materials, $2.58, and conversion $2.20. Compute the cost that would be assigned to the ending Work in Process inventory for the period. All the following are issues that led to the Spanish-American war except ? A- Hearsts newspaper reports B- The explosion of the Maine C-Spain threatening to invade FloridaD-Cuba proximity to the US We have 9 balls, numbered 1 through 9, and 27 bins. How many different ways are there to distribute these 9 balls among the 27 bins? Assume the bins are distinguishable (e.g., numbered 1 through 27). Two kilograms of nitrogen (N2) at 25C is contained in a 0.62 m3 rigid tank. This tank is connected by a valve to a 0.16 m3 rigid tank containing 0.8 kg of oxygen (O2) at 127C. The valve is opened, and the gases are allowed to mix, achieving an equilibrium state at 87C.initial pressures of N2 is 5.7293 bar and O2 is 5.2 bar.the final pressure is 6.44 bar.the magnitude of the heat transfer for the process is 162.8 kJ, and the direction of energy flow is going in.What is the entropy change for the mixing process, in kJ/K? What is the type of mouth part found in the female anopheles? 4) Solve the problem for the compound events.A bank has a special vault for valuable items. It has 3 dials that operate the combination. Thefirst dial has the numbers from 1 to 100, the second and third each have the 26 letters of the al-phabet. In order to open the vault, the bank manager must correctly set each dial. How manypossible combinations are there for this vault?