Please help??????????

G(x) = 9+ 4x

h(x) =x + 21/5

Write (hog)(x) as an expression in terms of x.

(hog)(x) =​

Answers

Answer 1

The composite result function (h o g)(x) in the given functions g(x) = 9 + 4x and h(x) = x + 21/5 is 4x + 66/5.

What is the composite result function (h o g)(x) in the given function?

A function is simply a relationship that maps one input to one output.

Given the data in the question;

g(x) = 9 + 4xh(x) = x + 21/5(h o g )(x) = ?

To find (h o g)(x), first set up the composite result function h(g(x)).

h(x) = x + 21/5

h( g(x) ) = g(x) + 21/5

Plug g(x) = 9 + 4x

h( g(x) ) = ( 9 + 4x ) + 21/5

Simplify

h( g(x) ) = 9 + 4x + 21/5

h( g(x) ) = 4x + 9 + 21/5

h( g(x) ) = 4x + 66/5

Therefore, the composite function h( g(x) ) is 4x + 66/5.

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Related Questions

Ice is placed around a bowl of water to lower the temperature. The equation D=−75t+22 shows the time, t, measured in minutes and temperature, D, measured in degrees Celsius.

Answers

Answer:

Before cooling begins, the temperature of the water is 22°C.

Step-by-step explanation:

need steps??

have a good day

rate my answer

hich linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)

Answers

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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URGENT!!!

Sharon invested $5,000 in a bond for 2 years. The total interest earned on the investment was $600. What was the interest rate on the investment?

Answers

The interest rate required to pay a simple interest of $600 from an investment of $5000 in 2 years is 6%.

What is the interest rate on the investment?

Simple interest is expressed as;

I = P × r × t

Where I is interest, P is principal, r is interest rate and t is time.

Given the data in the question;

Principal P = $5,000Interest I = $600Elapsed time t = 2 yearsInterest rate r = ?

Plug the given values into the above formula and solve for r.

I = P × r × t

r = I / Pt

r = 600 / ( 5,000 × 2 )

r = 600 / ( 10,000 )

r = 0.06

Interest rate = r × 100%

Interest rate = 0.06 × 100%

Interest rate = 6%

Therefore, the interest rate is 6%.

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Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.

Referring to the figure, the two rectangles shown have equal areas. Find the value of x.

Answers

Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Need help on this pleaseeeeee

Need help on this pleaseeeeee

Answers

I think the answer is c I may be wrong tho sorry

Answer:

I think it's C

Step-by-step explanation:

I just rotated point K 180 degrees and C was the only one with the coordinate points I got for K'

Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.

Answers

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Step-by-step explanation:

Denote the events as follows:

F = a person with fibromyalgia

R = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

\(P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}\)

            \(=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183\)

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Restless Leg Syndrome and FibromyalgiaPeople with restless leg syndrome have a strong urge to move their


A men's suit is on sale for $175. If the original price of the suit was $250, what percent of
discount was used during the sale?

Answers

Answer:

75 percent

Step-by-step explanation:

250-175=75

0.75 X 250= 75perecent

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds.  Find the weight per carton.​

Answers

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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This week Jose played guitar for 3/4 of an hour on Tuesday, an hour and a half on Thursday, and 2.3 hours on Saturday. If Jose plays guitar for the same amount of time next week, how many hours will he have practiced over these 6 days?

Answers

Answer:

Jose will have played the guitar for 9.1 hours during those 6 days.

Step-by-step explanation:

Given that this week Jose played guitar for 3/4 of an hour on Tuesday, an hour and a half on Thursday, and 2.3 hours on Saturday, to determine, if Jose plays guitar for the same amount of time next week, how many hours will he have practiced over these 6 days, the following calculation must be performed:

3/4 = 0.75

1/2 = 0.5

(0.75 + 1.5 + 2.3) x 2 = X

4.55 x 2 = X

9.10 = X

Therefore, Jose will have played the guitar for 9.1 hours during those 6 days.

What’s Jake’s error

Whats Jakes error

Answers

His error is that he added the denominators x+3 and 2x to get 3x+3. When adding fractions, the denominators must be the same and they stay the same the entire time. We only add the numerators over this common denominator. Often, we'll want the lowest common denominator (LCD).

For example, if we add 1/8 and 2/8, then we get 1/8+2/8 = (1+2)/8 = 3/8. Think of it like slicing up a cake into 8 slices. Person A takes 1 slice while person B takes 2 slices. Overall, 1+2 = 3 slices were taken out of 8, so that's one way to see how 1/8 + 2/8 = 3/8.

If we added something like 1/4 + 1/8, then we cannot say the answer is 2/12. It's like adding apples and oranges. They aren't like terms in a way. But we can convert 1/4 to 2/8 since the fractions are equivalent

1/4 + 1/8 = 2/8 + 1/8 = 3/8

Those two one-eighth slices combine to get a quarter slice. In this example, 8 is the LCD.

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

To fix his error, Jake needs to find the LCD of the denominators x+3 and 2x. The LCD in this case is 2x(x+3). He'll need to multiply top and bottom of the first fraction by 2x, as this is the missing factor needed to get to the LCD.

The missing factor for the second fraction is (x+3). So he'll need to multiply top and bottom of the second fraction by (x+3). After these steps are done, he can then add the fractions.

Answer:

You have to have common denominators to add.

Step-by-step explanation:

You have to have common denominators to add.

2x-3y-6=0 in slope intercept form step by step

Answers

Answer:

\(y=\frac{2}{3}x-2\)

Step-by-step explanation:

A linear function is represented by the following function in slope-intercept form:

\(y=mx+b\)

Therefore, to reorganize in slope-intercept form the given equation, isolate y using inverse operations to solve equations;

\(\begin{gathered} 2x-3y-6=0 \\ -3y=-2x+6 \\ y=\frac{-2}{-3}x+\frac{6}{-3} \\ y=\frac{2}{3}x-2 \end{gathered}\)

Move vertices A, B, and C to create a triangle of your choice. Record the measures of the interior angles α, β, and γ for three different triangles. Then find the sum of the angle measures for each triangle.

Answers

Answer:

α β γ Sum of Interior Angles

75.96° 50.91 53.13° 180°

45° 126.87° 8.13° 180°

26.57° 135° 18.43° 180°

Step-by-step explanation: cause I did it

Answer:

S.A for Questions 1 and 2 for Edmentum and Plato

Like and Rate

Move vertices A, B, and C to create a triangle of your choice. Record the measures of the interior angles
Move vertices A, B, and C to create a triangle of your choice. Record the measures of the interior angles

Opposite of Gain of 30 yards

Answers

is it loss of 30 yards?

Answer:

Step-by-step explanation:

-30

Find the compound interest and the amount after twelve seconds if the
interest is compounded every three seconds.
Principal = 20,000
Rate of interest = 800%
Total amount =
Compound interest =

Answers

Results:

Compound Interest (CI) = 27,280

Total Amount = 47,280

How do we calculate Compound Interest?

We shall calculate Compound Interest using the formula:

Compound Interest: CI = P * \((1 + r/n)^{nt}\) - P  

Where:

P = Principal amount

r = Rate of interest (in decimal)

n = The compounding periods in a year

t = Time (in years)

Given:

Principal (P) = 20,000

Rate of interest (R) = 800% = 8 (in decimal)

Time (t) = 12 seconds

Compounding frequency = every 3 seconds

We need to calculate the rate of interest in decimal and the number of compounding periods in a year.

Rate of interest (r) = R/100 = 8/100 = 0.08

Compounding frequency (n) = 1 / (compounding period in seconds) = 1 / 3 = 0.3333

CI = 20,000 * \((1 + 0.08/0.3333)^{0.3333*12}\) - 20,000

CI = 20,000 * \((1 + 0.24)^{3.9996}\) - 20,000

CI = 20,000 * \(1.24^{3.9996}\) - 20,000

CI = 20,000 * 2.364 - 20,000

CI = 47,280 - 20,000

CI = 27,280

So, the compound interest after twelve seconds = 27,280.

To calculate the total amount after 12 seconds, we can use the formula:

Total Amount = Principal + Compound Interest

Total Amount = 20,000 + 27,280

Total Amount = 47,280

Therefore, the total amount after 12 seconds = 47,280.

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Question 2: Which statements about functions g(xx² - 4x +3 and f(x) = x² - 4x are true? Select all
that apply.

Answers

The functions g(x) = x² - 4x + 3 and f(x) = x² - 4x are:

The functions have the same range.

The functions have the same domain.

The functions have the same x-intercepts.

Let's analyze the given functions g(x) = x² - 4x + 3 and f(x) = x² - 4x and determine which statements about them are true.

Here are the options:

The functions have the same graph.

The functions have the same range.

The functions have the same domain.

The functions have the same vertex.

The functions have the same y-intercept.

The functions have the same x-intercepts.

The functions have the same graph:

This statement is false. While both functions are quadratic functions, their additional terms make them different. g(x) has an additional constant term (+3) compared to f(x).

Their graphs will be different, with g(x) being shifted upward by 3 units compared to f(x).

The functions have the same range:

This statement is true.

Both functions are quadratic functions, and their range will be the same. The range of a quadratic function is either all real numbers (if the parabola opens upward) or the set of real numbers greater than or equal to (or less than or equal to) the vertex of the parabola.

The functions have the same domain:

This statement is true.

The domain of both functions, unless restricted by any other factors, is all real numbers.

Quadratic functions have a domain of (-∞, ∞).

The functions have the same vertex:

This statement is false.

The vertex of a quadratic function is determined by the values of "a," "b," and "c" in the general form of the quadratic function (ax^2 + bx + c).

Since g(x) has an additional constant term, its vertex will be different from the vertex of f(x).

The functions have the same y-intercept:

This statement is false.

The y-intercept of a function is the value of y when x = 0.

For f(x), when x = 0, we have f(0) = (0)² - 4(0) = 0.

For g(x), when x = 0, we have g(0) = (0)² - 4(0) + 3

= 3.

Their y-intercepts are different.

The functions have the same x-intercepts:

This statement is true.

To find the x-intercepts of both functions, we set y (or f(x) and g(x)) equal to zero and solve for x.

The quadratic equation x² - 4x + 3 = 0 can be factored as (x - 1)(x - 3) = 0, giving x = 1 and x = 3 as the x-intercepts.

Both functions have the same x-intercepts.

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Find (f-g) (x)

f(x) = 2x²-2 and g(x) = 4x + 1

6x²-x
2x² + 4x-1
2x² + 4x +3
2x² - 4x - 3

Answers

Answer:Ask your teacher for help!

Step-by-step explanation:

Listen in class and you’d know!

A numerical expression is evaluated as shown. 20 + (8 x 9 + 18) ÷ 10 x 4 Step 1: 20 + (72 + 18) ÷ 10 x 4 Step 2: 20 + 90 ÷ 10 x 4 Step 3: 110 ÷ 10 x 4 Step 4: 11 x 4 In which step does the mistake first appear?

Answers

Answer:

hope it helps

ppz mark as brainliest

A numerical expression is evaluated as shown. 20 + (8 x 9 + 18) 10 x 4 Step 1: 20 + (72 + 18) 10 x 4


Please help I’ll mark you as brainliest if correct!

Please help Ill mark you as brainliest if correct!

Answers

Answer:

12

Step-by-step explanation:

first see how much ways we can package the cookies using the 33 cookie packages:

33, 33

33, 11, 11, 11

33, 11, 11, 11 ones

33, 11, 22 ones

33, 33 ones

now only the 11 packages:

11, 11, 11, 11, 11, 11

11, 11, 11, 11, 11, 11 ones

11, 11, 11, 11, 22 ones

11, 11, 11, 33 ones

11, 11, 44 ones

11, 55 ones

now we have one more set, 66 ones.

if you count all the possibilities, you get 12

[Will Give Brainliest] What is the area of the trapezoid?




Enter your answer in the box.

[Will Give Brainliest] What is the area of the trapezoid?Enter your answer in the box.

Answers

Answer:

A = 378 in²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the perpendicular height between the bases b₁ and b₂

here b₁ = 6 + 15 + 6 = 27 , b₂ = 15 ( equal to middle section of b₁ ), h = 18, so

A = \(\frac{1}{2}\) × 18 × (27 + 15) = 9 × 42 = 378 in²

Jacob stated that he solved the equation 2x + 3 = 5 using the addition and multiplication property of equality. Which statement is true

Answers

Answer: First one

Step-by-step explanation:

if you roll a number cube 20 times. which scenario is least likely?

a) you find the experimental probability of rolling a 1 or 2 to be 0.3.

b) you find the experimental probability of rolling a 3 or 4 to be 0.4.

c) you find the experimental probability of rolling a 5 or 6 to be 0.5.

d) you find the experimental probability of rolling a number divisible by 3 to be 0.35​

Answers

D because you will find the experimental probability of rolling a even number to be 0.35

Pls solve this trigonometry question

Pls solve this trigonometry question

Answers

Step-by-step explanation:

to solve this question you need to know that to find the angle you can use the inverse of a trigonometric function. henceforth, we can use arctan for this particular question.

arctan(11/5) is the answer.

the answer correct to 1 decimal point is 65.6 degrees.

comment if you have any doubts.

What should you substitute for x in the second equation (bottom equation) in order to solve the system by the substitution method?

What should you substitute for x in the second equation (bottom equation) in order to solve the system

Answers

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Write the word sentence as an inequality.
A number x is greater than 0.

Answers

Answer:

x>0

I am very certain.

brainliest?

Factor 48-6 using GCF

Answers

Answer:

I think the answer is six i just searched it  or it could be 12

Step-by-step explanation:

The greatest common factor (GCF) of 48 and 6 is 6, so:

48 - 6 = 42.

this isn't college level *laugh*

b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine​

Answers

The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

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Which math expression means "33 more than an unknown number"?
O A. 33. x
O B. X-33
O C. X+33
O D. X=33

Answers

C is the answer it’s supposed to be X+33

In each case below find an equation for the line with the given information about the linear equation and
give the slope of each line.
a) Vertical line through point (2, -65)
b) Horizontal line through point (-2, 4)

Answers

a) The equation of a vertical line is x = k, where k is the x-coordinate of the point where the line intersects the y-axis. In this case, the point where the line intersects the y-axis is (2, -65), so the equation of the line is x = 2. The slope of a vertical line is undefined, since it has no slope.

b) The equation of a horizontal line is y = k, where k is the y-coordinate of the point where the line intersects the x-axis. In this case, the point where the line intersects the x-axis is (-2, 4), so the equation of the line is y = 4. The slope of a horizontal line is 0, since it has no slope.

Eliza took a friend for a birthday dinner. The total bill for dinner was $32.22 (including tax and a tip). If Eliza paid a 19.3% tip, what was her bill before adding the tip? (Round your answer to the nearest cent.)

Answers

Answer:

$27.01

Step-by-step explanation:

100% + 19.3% = 119.3%.

$32.22 = 119.3%

divide both sides by 119.3:

(32220/1193) = 1

multiply by 100 to get 100% ie the bill before the tip:

$27.01 = 100%

$27.01 is bill to nearest cent

if the mean of x,x+3,x-5,2x and 3x then find the value of x​

Answers

The Value of x is 2/3.

The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.

The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.

Mean = (x + x+3 + x-5 + 2x + 3x) / 5

Next, we simplify the expression:

Mean = (5x - 2 + 3x) / 5

Mean = (8x - 2) / 5

We are given that the mean is also equal to x:

Mean = x

Setting these two expressions equal to each other, we have:

(x) = (8x - 2) / 5

To solve for x, we can cross-multiply:

5x = 8x - 2

Bringing all the x terms to one side of the equation and the constant terms to the other side:

5x - 8x = -2

-3x = -2

Dividing both sides by -3:

x = -2 / -3

Simplifying, we get:

x = 2/3

Therefore, the value of x is 2/3.

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A researcher wishes to determine if the fraction of supporters of party X is equal to 20%, or more. In a sample of 1024 persons, 236 declared to be supporters. Verify the researcher's hypothesis at a significance level of 0.01. What is the p-value of the resulting statistic? Nationally, the proportion of red cars on the road is 0.12. A statisticallyminded fan of the Philadelphia Phillies (whose team color is red) wonders if Phillies fans aremore likely to drive red cars. One day during a home game, he takes a random sample of 210cars parked at Citizens Bank Park (the Phillies home field), and counts 35 red cars.(a) State appropriate hypotheses for performing a significance test. Be sure to define theparameter of interest. What is 2/3-1/2 mathswatch What are the different types of cardiovascular training? 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Recuerda que son 10 nios invitados. (imperative tense)10. Jos (querer) __ _______ hacer lo mismo que hace su hermano. (future tense)11. La nia quiere comprar____________. (for her parents) (the picture) (double object pronoun)12. Lo hice __________ mi familia. (for)13. El beb van a comer___. (the apples) DOP.14. (Poner) _____ Vds. (the table) hoy. (DOP) la mesa15. Tus abuelos _________ (acostarse) temprano los das entre semana. (present tense) Andrew spents 1 1/6 hours studying for his science exam. He spends another 1 1/2 studying for his history exam. How many hours did he spend studying in all Find a possible formula for the trigonometric function whose values are in the following table. I have four neutrons and I'm metallic. Who amI? Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles. What is the total running distance of the four runners? What did Paul B. Johnson Jr. contribute to the development of Mississippi?He started the Mississippi Freedom Democratic Party.He encouraged registration of African American voters.He helped spread the Freedom Schools throughout the state.He was a founding member of the Student Nonviolent Coordinating Committee. Let p be the portion of the sphere x^2 + y^2 + z^2 = 1 whichlies in the first octant and is bounded by the cone z =sqrt(x^2+y^2) . Find the surface area of P.6. Let P be the portion of the sphere x + y + z =1 which lies in the first octant and is bounded by the cone z = =x + y . Find the surface area of P. [10] How does comparing the embryos of different organisms support the theory of evolution? The stages of development of the embryos of different organisms are extremely similar, thereby suggesting common ancestors. The embryos of any group of living things resemble the other embryos in that group. The embryos of all organisms are identical. Karen wants potential clients interested in assist you 2s numerous services to feel like they are getting a deal; she suggests using prices like $99. 99 for two hours of office reorganization and $249. 99 for a 7-hour day of childcare services. This pricing tactic is known as. Determine any data values that are missing from the table, assuming that the data represent a linear function.X Y-1 20 3 42a.Missing x:1 Missing y:2c. Missing x:1 Missing y:6b. Missing x:1 Missing y:5d. Missing x:2 Missing y:5 Calculate the number of MOLES of oxygenthat will dissolve in a 50 L fish tank of waterat 25C if the partial pressure of oxygen is0.21 atm. Henrys constant for oxygen is 4.34x 104atm. Density of water = 1kg/L. A double acting, two-stage air compressor delivers 3 kg of air per minute at a pressure of 1,5 MPa. The intake conditions are 98 kPa and 28 C. The compression and expansion index for both stages is 1,3. The volumetric efficiencies based on inlet conditions are 92% for the low pressure cylinder and 90% for the high pressure cylinder. The compressor rotates at 240 r/min. Intercooling at 360 kPa is complete and the temperature after intercooling is 87C. Mechanical efficiency is 85%. Take R for gas as 0,288kJ/kg.K and Cp as 1,005 kJ/kg.K.Calculate: 1 The power required to drive the compressor in kW 2 The diameter of the low pressure cylinder if the stroke is 1,5 times the diameter 3 The heat transfer during compression in the first stage "The dram of evil doth all the noble substance often dout to his own scandal."