a) Para el partido que se juega el domingo en la cancha de Talleres, se vendieron
23.700 entradas populares y 8.800 plateas. ¿Cuántas personas asistirán a la
cancha?

Answers

Answer 1

The total number of people who will attend the basketball court is 32,500.

There is a basketball game. The game is played on Sunday at the Talleres field. The total number of popular tickets sold is 23,700. The number of stall tickets sold is 8,800. We need to find out the total number of people who will attend the basketball court.

Let the total number of people be represented by the variable "N". The total number of people is the sum of the number of popular tickets sold and the number of stall tickets sold.

N = 23,700 + 8,800

N = 32,500

Hence, the total number of people who will attend the basketball court is 32,500.

The complete question is given below.

For the game that is played on Sunday at the Talleres field, they sold 23,700 popular tickets and 8,800 stalls. How many people will attend the basketball court?

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Related Questions

please answer, will mark brinliest

please answer, will mark brinliest

Answers

Step-by-step explanation:

Total sections= 8

Yellow sections=2

So,

2/8

In second black write

1/4 ( by reducing 2/8)

hope it helps

Xochitl spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The plane maintains a constant altitude of 7425 feet. Xochitl initially measures an angle of elevation of 19° to the plane at point A. At some later time, she measures an angle of elevation of 37° to the plane at point B.

Find the distance the plane traveled from point A to point B. Round your answer to the nearest foot if necessary.

Answers

Answer:

d1 - d2 ≈ 9917.4 feet ≈ 3021 meters

Step-by-step explanation:

tan(19°) = 7425/d1

tan(37°) = 7425/d2

Solving for d1 and d2, we get:

d1 = 7425/tan(19°) ≈ 22977.6 feet

d2 = 7425/tan(37°) ≈ 13060.2 feet

Therefore, the distance the plane traveled from point A to point B is:

d1 - d2 ≈ 9917.4 feet ≈ 3021 meters



4. $23 shirt. 6.5% sales tax
What is your total bill?

Answers

Answer:

$24.50

Step-by-step explanation:

23x0.065 =1.495

23 + 1.50 = 24.50

Which of the following tables represents a linear relationship that is also proportional
Answer picture below ​

 Which of the following tables represents a linear relationship that is also proportionalAnswer picture

Answers

Answer:

c=200+0.4Yd find determine equlibirum level investment is =400

Answer:im pretty sure its D

Step-by-step explanation:it goes through the origin

does anyone know what 4/9 - 3/9 - 5/9 + 5 - 8 is simplified? if u do it would help me greatly. thank you.

Answers

Calculate the difference of the first 3 terms because they have the same denominator
= -4/9 + 5 - 8
= -4/9 -3
= -4+27/9 —> Multiply 3 by 9 as it is the LCM and add the numerators
= -31/9

Answer:

-31/9 which is also equal to -3 4/9

Step-by-step explanation:

Find the 10th term of GP if 2nd term is 43 and 4th term is 9

Answers

Answer: 0.0825

Step-by-step explanation: Geometric progression is a series where the consecutive terms are found out after multiplying the previous one

-45 I guess

Step-by-step explanation:

because the Gap is 17 when you observe the 4th is 43 and the 2nd is 9 the 3rd is 26 ......the 10th is -45

justin has x nickels and y dimes. He has a minimum of 15 coins worth at most 1$ combined determine one possible soltuiion with a set of inequalities

Answers

Answer:

Justin has 10 nickels and 5 dimes.

Step-by-step explanation:

Given that Justin has x nickels and y dimes, and he has a minimum of 15 coins worth at most $ 1 combined, to determine one possible solution the following calculation must be performed:

Nickel = 0.05

Dime = 0.10

15 x 0.05 + 0 x 0.1 = 0.75

14 x 0.05 + 1 x 0.1 = 0.80

13 x 0.05 + 2 x 0.1 = 0.85

12 x 0.05 + 3 x 0.1 = 0.90

11 x 0.05 + 4 x 0.1 = 0.95

10 x 0.05 + 5 x 0.1 = 1

So, Justin has 10 nickels and 5 dimes.

Mr. Easmon drew triangle​ JKL, with a height of 18 inches and a base of 18 ​inches, and triangle​ XYZ, with a height of 16 inches and a base of 20 inches. Which triangle has the greater​ area.

Answers

Answer:

Triangle JKL

Step-by-step explanation:

The formula to find the area of a triangle is :area (A) =  (height (H) x base (B)) / 2

You are given the height and base of both triangles, so you just have to plug in the numbers.

Triangles JKL: A = (18 x 18) / 2

A = 162 in^2

Triangel XYZ: A = (16 x 20) / 2

A = 160 in^2

162 is greater than 160, so Triangle JKL has a larger area.

Answer:ABC has greater area

Step-by-step explanation:

ABC:

Formula for a triangle is base * height divided by two so:

6*6/2 = 18

RST:

4*8/2= 16

Formula: hb/2

im sorry im im wrong

help ples me i hate ixl

help ples me i hate ixl

Answers

Answer:

200

Step-by-step explanation:

Base of the prism is a square

So

\(\\ \tt {:}\longrightarrow Area\:of\:base=(side)^2\)

\(\\ \tt {:}\longrightarrow (5)^2\)

\(\\ \tt {:}\longrightarrow 25cm^2\)

Now

\(\\ \tt {:}\longrightarrow Volume=Area\:of\:Base\times Height\)

\(\\ \tt {:}\longrightarrow 25\times 8\)

\(\\ \tt {:}\longrightarrow 200cm^3\)

The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in their ability to produce parts with highly narrow requirements, or tolerances, that are typical in the aerospace industry. Consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0008. Suppose the sample variance for 30 parts turns out to be s2 = 0.0009.

Required:
Use α = 0.05 to test whether the population variance specification is being violated. State the null and alternative hypotheses.

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

\(H_0: \sigma^{2} \leq 0.0008\\\\H_a: \sigma^{2} > 0.0008\)

The testing states value is:

\(\to x^2=\frac{(n-1)s^2}{\sigma^2}=32.6250\)

therefor the \(\rho - \ value = 0.2931\)

Through out the above equation its values Doesn't rejects the H_0 value, and its  sample value doesn't support the claim that although the configuration of its dependent variable has been infringed.

The competitive advantage of small American factories such as Tolerance Contract Manufacturing lies in

Se va a cercar un terreno de forma circular que mide de radio 25cm ¿cuántos metros de alambres de púas se necesitan?

Answers

1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

We have,

To calculate the amount of barbed wire needed to fence the circular piece of land, we need to find the circumference of the circle.

Given:

Radius (r) = 25 cm

The formula for the circumference (C) of a circle is:

C = 2πr

Substituting the given radius into the formula, we have:

C = 2π x 25 cm

Now, we can calculate the circumference in centimeters.

C = 2 x 3.14 x 25 cm

C ≈ 157 cm


Now,

To convert centimeters to meters, we divide the circumference by 100.

C (in meters) = 157 cm / 100

C (in meters) ≈ 1.57 meters

Therefore,

Approximately 1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

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The complete question.

A circular piece of land with a radius of 25 cm is going to be fenced. How many meters of barbed wire are needed?

Parallelogram JKLM is shown on the coordinate plane below:

Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.

If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?

J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)

Answers

Answer: Parallelogram JKLM is shown on the coordinate plane below:

Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.

If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?

J′(−2, −6); M′(1, −5)

J′(6, 2); M′(−5, 1)

J′(2, 6); M′(−1, 5)

J′(6, −2); M′(5, 1)

Step-by-step explanation:

Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.

Answers

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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7. Order the following integers from least to greatest: 0,5,18,100,22

Answers

Answer:

0, 5, 18, 22, 100

Step-by-step explanation:

Order the integers from least to greatest which means that the smallest number to the biggest number. Since the biggest number is 100 it goes at the end and 0 is the smallest number so it goes at the end. After that, all you have to do is find which numbers are bigger and smaller. So, the numbers should go in this order 0, 5, 18, 22, 100.

Hope This Helps :)

3 6 9 12 15 18 21 24 27 30 is odd or even numbers?​

Answers

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

identify an equation in point slope form for the line perpendicular to y=-2x+8 that passes through (-3,9)

Answers

Answer:

y - 9 = 1/2(x + 3)

Step-by-step explanation:

find the slope that is perpendicular to line y = -2x + 8, which is the negative reciprocal slope: 1/2

substitute the new slope 1/2 and the given/known point (-3, 9) into the point-slope form:

=> y - 9 = 1/2(x - (-3)) => y - 9 = 1/2(x + 3)

point-slope form:

identify an equation in point slope form for the line perpendicular to y=-2x+8 that passes through (-3,9)

Pythagorean Theorem
Find the length of the third side, write in simplest radical form if needed.

Pythagorean TheoremFind the length of the third side, write in simplest radical form if needed.

Answers

Using Pythagoras's theorem, the length of the third side of the right triangle is 3 units.

How to find the side of a right triangle using Pythagoras's theorem?

The length of the third side of the right triangle can be found using Pythagoras's theorem.

The Pythagoras's theorem can be represented as follows:

c² = a² + b²

where

a and b are the legsc is the hypotenuse of the right triangle

Therefore, the missing side of the right triangle is the other legs.

b²  = (3√5)² - 6²

b² = 45 - 36

b = √9

b = 3

Therefore,

third side of the right triangle = 3 units

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By using Pythagoras' theorem the length of the third side is 3 units

What is Pythagoras's theorem?

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, the hypotenuse is 3√5 units and one of the legs is 6 units and assuming the length is x units.

∴ x² = (3√5)² - 6².

x² = 9×5 - 36.

x² = 45 - 36.

x² = 9.

x = ± 3.

As length can not be negative the appropriate value for x is + 3.

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How many solutions does the inequality x > 12 have? Explain.

Answers

Answer:

Infinite solutions

Step-by-step explanation:

Suppose there are finite solutions to x > 12

Then there exists a largest solution, which we call X

But X + 1 > X, and X > 12, so by transitivity X + 1 > 12 and thus is an even larger solution

this means X is not the largest solution

Therefore, by contradiction, the assumption that there are only finite solutions is false

1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match. (a) How many schedules are there?

Answers

Complete Question

1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match.

(a) How many schedules are there?

(b) How many schedules include neither sister?

Answer:

a

   \(N  =  1,411,200\)

b

  \(M  =  302, 400\)

Step-by-step explanation:

From the question we are told that

   The  number of players in Taft High School is t =  8

    The  number of players in McKinley High School  is k = 7

   The number of rounds is  n  =  4

   The highest number of match each player can play is  w =  1

   

Generally the total number of schedules is  

      \(N  = ^tP_4 * ^k P_4\)

      \(N  = ^8P_4 * ^7 P_4\)

=>   \(N  =  \frac{8!}{(8-4)!} * \frac{7!}{(7-4)!}\)

=>   \(N  =  \frac{8!}{4!} * \frac{7!}{3!}\)

=>  \(N  =  \frac{8*7 *6*5*4*3*2*1}{4*3*2*1} * \frac{7*6*5*4*3*2*1}{3*2*1}\)

=>  \(N  =  1,411,200\)

Generally the  number of schedules that include neither of the sisters is  mathematically represented as

        \(M= \ ^{t-1}P_4 *\ ^ {k-1} P_4\)

        \(M= \ ^{8-1}P_4 *\ ^ {7-1} P_4\)

=>    \(M= \ ^{7}P_4 *\ ^ {6} P_4\)

=>     \(M  =  \frac{7!}{(7-4)!} * \frac{6!}{(6-4)!}\)

=>     \(M  =  \frac{7!}{3!} * \frac{6!}{2!}\)

=>     \(M  =  \frac{7 *6*5*4*3*2*1}{3*2*1} * \frac{6*5*4*3*2*1}{2*1}\)

=>      \(M  =  302, 400\)

The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?

Answers

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Find m and c for this line

Y+3x=1

Answers

Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

A can of soda is placed inside a cooler. As the soda cools, its temperature T(x) in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler.

T(x)=-5+27e^-0.03x

Find the initial temperature of the soda and its temperature after 20 minutes, Round your answers to the nearest degree as necessary.

initial temperature:
temperature after 20 minutes:

Answers

The initial temperature of the soda is 22 degrees Celsius, and its temperature after 20 minutes is approximately 10 degrees Celsius.

To find the initial temperature of the soda, we need to evaluate the temperature function T(x) at x = 0.

T(x) = -5 + 27e^(-0.03x)

T(0) = -5 + 27e^(-0.03(0))

T(0) = -5 + 27e^0

Since any number raised to the power of 0 is 1, we have:

T(0) = -5 + 27(1)

T(0) = -5 + 27

T(0) = 22

Therefore, the initial temperature of the soda is 22 degrees Celsius.

To find the temperature of the soda after 20 minutes, we evaluate the temperature function at x = 20.

T(x) = -5 + 27e^(-0.03x)

T(20) = -5 + 27e^(-0.03(20))

T(20) = -5 + 27e^(-0.6)

Using a calculator, we can compute e^(-0.6) ≈ 0.5488.

T(20) = -5 + 27(0.5488)

T(20) = -5 + 14.8152

T(20) ≈ 9.8152

Therefore, the temperature of the soda after 20 minutes is approximately 10 degrees Celsius (rounded to the nearest degree).

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If H between J and K and JH = x + 5 and HK = 2x + 10 and JK = 33. what is JH?​

Answers

The answer to your question is 11
If H between J and K and JH = x + 5 and HK = 2x + 10 and JK = 33. what is JH?

Let f(x) = 5(3)x

The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x).

Choose the equation of g(x).

Responses

g(x) = 10(3)xg(x) = 10(3)x

g(x) = 7(3)xg(x) = 7(3)x

g(x) = 2(3)xg(x) = 2(3)x

g(x) = 5(6)x

Answers

The required equation is g(x) = 10(3)x which is the correct answer would be an option (A).

The graph of g(x) is obtained by stretching the graph of f(x) vertically by a factor of 2.

Since the vertical stretch of a graph multiplies the y-coordinates of each point on the graph by a constant factor, the equation of g(x) must be obtained by multiplying the y-coordinate of each point on the graph of f(x) by 2.

In the given equation f(x) = 5(3)x, the y-coordinate of each point on the graph of f(x) is 5(3)x.

Thus, to stretch the graph of f(x) vertically by a factor of 2, we need to multiply this y-coordinate by 2 to get the y-coordinate of the corresponding point on the graph of g(x). This gives us the following equation for g(x):

⇒ g(x) = 2 × 5(3)x = 10(3)x

Therefore, the required equation is g(x) = 10(3)x.

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eighty-four and seven-hundredths in standard form​

Answers

Answer:

84.07

Step-by-step explanation:

eighty-four is 84

hundredth is .01 so seven-hundredths is .07

so eight-four and seven-hundredths is 84.07

Answer:

84.07

Step-by-step explanation:

7 would be where it is because when you do decimals and there are numbers behind the decimals you go back words.

what do 6 tens =
Please tell me

Answers

60 don’t mind this I need 20 characters

How do you solve this??

21 a(little 6) b(little 5)
————————————
7 a(little 3) b

Answers

\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

To solve this problem

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

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Find o% of 176:
Find 100% of 176:
Find 50% of 176:
Find 25% of 176:
Find 75% of 176:

Answers

0
176
88
44
132
Hope this helps

The elephants at the zoo eat 2 1/6 buckets of bananas each day. The zookeeper bought 6 1/2 buckets of bananas. How many days will the bananas last?

Answers

Answer:

3 days.

Step-by-step explanation:

1 day= 2 1/6

He has 1/2 but we need to change 2 to 6 so x 3 so now times 1 by 3 to 6 3/6

Day 2=4 2/6

And last day 3 3/6

Because in one day they eat 2 whole's so 2 x 3=6 and that has the wholes.

and then 1/6 so 1 x 3=3/6 and 6 wholes so 6 wholes and 3/6 and that means they eat 6 3/6 in 3 day.

Hope it helps have a great day:)

Jordan's raise last year was 3 percent of her salary, but inflation numbers released yesterday indicated that inflation was 3 percent last year. How much did Jordan's purchasing power increase?

Answers

Since the inflation was exactly increased to the same percentage as the salary increase of Jordan, the increase in his purchasing power is zero.

What is inflation?

Inflation is a sustained increase in the general price level of goods and services in an economy over a period of time. When the general price level rises, each unit of currency buys fewer goods and services; consequently, inflation reflects a reduction in the purchasing power of money.

If the pay raise is not above the percentage of the inflation then there would be no net increase in the purchasing power.

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Please what causes Eye pain and watery eyes please help will give brainiest thank you, my eyes are aching me... what is revenue in simple terms Quest According to the Centers for Disease Control and Prevention (CDC), 14% of adults over 18 years of age in America smoke cigarettes. Let the random variable X represent the number of smokers in a Match each word below with an image to help remember its meaning:enigmaurbanindustryPants and anthillrow of tall buildingsquestion mark Subtract : 13.257 from 25.8Pls Someone Help 4(9-3/4x) +6x simplified 1) Assume that the price levels in two countries are constant. In this situation, we know thatA) neither the real nor the nominal exchange rate can change.B) the real exchange rate can change, while the nominal exchange rate is constantC) the nominal exchange rate can change, while the real exchange rate is constant.D) the real and nominal exchange rate must move together, changing by the same percentage.E) the nominal exchange rate will fluctuate more widely than the real exchange rate I need this pretty quick pls! I will give brainliest!! What happened after this event?This is a key event in The Call of the Wild.Thornton's command cracked out like a pistol-shot.Buck threw himself forward, tightening the traces with ajarring lunge. His whole body was gathered compactlytogether in the tremendous effort, the muscles writhingand knotting like live things under the silky fur. His greatchest was low to the ground, his head forward anddown, while his feet were flying like mad, the clawsscarring the hard-packed snow in parallel grooves. Thesled swayed and trembled, half-started forward. One ofhis feet slipped, and one man groaned aloud.O Buck pulls the sled to the hundred-yard mark.of the crowd places bets on Buck.Thornton yells "Mush" to Buck.Men begin holding their breath. Most compounds that produce this in aqueous solution are ionicA) AcidB)BaseC) Both which chamber of the heart receives the deoxygenated blood from the systemic system first? in the circuit, is(t) = 0.2 sin 105t a, r = 20 , l = 0.05 mh, and c = 2 f. the power factor of the source is what is know of father of computer what is the force produced on a body of 30kg mass when a body moving with the velocity of 26km/hr is acceleted to gain the velocity of 54 km/hr in 4 sec mature t cells have t-cell receptors that can bind only to the particular self-mhc isoform that provided the signal for survival during t-cell development. what is this called? WHO CAN HELP ME ON THIS ONE ? This one my last one .. Ill mark you as A rock is thrown horizontally from a cliff with a speed of 15 m/s. It falls half the height of the cliff in the last three seconds of its fall.a. What is the total fall time?b. How high is the cliff?c. What is the horizontal distance from the cliff when it hits the ground? need help for Geometry You notice that every time you place butter on your stack of freshly made pancakes, the butter melts.According to the law of conservation of energy, heat lost by the pancake The following information was reported in the December 31, 2012, financial statements of Southeast Airlines, Inc. (listed alphabetically, amounts in millions) Accounts Payable 4,460 Accounts Receivable 620 Aircraft Fuel Expense 9,100Cash 3,010 Common Stock 1,240 Dividends 40 Equipment 14,850Income Tax Expense 230Interest Expense 170Landing Fees Expense 3,500 Notes Payable 6,970 Repairs and Maintenance Expense 1,600Retained Earnings (as of December 31, 2012) 6,510 Salaries and Wages 3,340 Expense Supplies 7000 Ticket Revenues 19,100 Prepare a balance sheet at December 31, 2012. (Enter your answers in millions (i.e., 10,000,000 should be entered as 10.) A vertical cylinder contains 0.01 kg of wet steam trapped in by a heavy frictionless freely movable piston of area 0.05 m^2. Initially at State 1, the piston is in equilibrium with the steam at a pressure of 2.0 bar and a volume of 0.006 m3. The steam is then slowly heated until it becomes dry saturated vapour at State 2. (a) Calculate the dryness fraction of the steam at State 1 and the volume of steam at State 2. Subsequently, the piston is locked in its position at State 2 by a pin. The steam is then further heated until the steam pressure is increased to 3.0 bar at State 3. (b) Find the mechanical force exerted by the pin on the piston at State 3. (c) Using appropriate reasoning, deduce the condition of steam at State 3. Show the entire heating process from State 1 to State 3 in relation to the saturation curves on a T-v diagram. Hence, find the steam temperature at State 3. (d) Calculate the work done by the steam during its heating process from State 1 to State 3.