At a constant temperature, the atmospheric pressure p in pascals is given by the formula p=101.3 e⁻⁰.⁰⁰¹h , where h is the altitude in meters. What is p at an altitude of 500 m ?

Answers

Answer 1

At an altitude of 500 meters, the atmospheric pressure (p) will be 61.46 pascals.

The exponential constant, denoted by the symbol e, is an essential mathematical constant. Its value is approximately equal to 2.718. This value occurs very frequently in mathematics when it is used to model physical and economic phenomena.

Here, we are given an exponential function- p = 101.3[tex]e^{-0.001h}[/tex]

where p = atmospheric pressure in pascals

h = altitude in meters.

If the altitude is 500m

h = 500

Then,

p = 101.3 [tex]e^{-0.001 * 500}[/tex]p

=  101.3 [tex]e^{-0.5}[/tex]p

=  101.3/ [tex]e^{-0.5}[/tex]p

= 101.3/ 1.648p

= 61.46

Thus, at an altitude of 500 meters, the atmospheric pressure (p) will be 61.46 pascals.

Learn more about exponential functions here- https://brainly.in/question/16972355

#SPJ4


Related Questions

The slope of line a is 2/3 . The slope of line b is 2/3 .

Which statement is true?

Responses

The lines are perpendicular.

The lines are neither perpendicular nor parallel.

The lines are parallel.

Answers

Since lines a and b have the same slope, then: the lines are parallel.

What are the Slopes of Parallel Lines?

The slope of a line is the rise/run or change in y / change in x. When two lines lie parallel to each other, they will have equal slope value.

On the other hand, when two lines lie perpendicularly to each other, their slopes will be negative reciprocal.

For example, if a line has a slope of 2/3, the slope of the line that is parallel to it will be 2/3 also, while the slope of the line that is perpendicular to it will be -3/2.

Thus:

The slope of line a = 2/3

The slope of line b = 2/3

Therefore, since lines a and b have the same slope, then: the lines are parallel.

Learn more about the slope of a line on:

https://brainly.com/question/28086654

#SPJ1

Answer: the lines are parallel.


A function f is bounded above if there is some number B that f(x) can never exceed. The exponential function base e shown here is not bounded above. Is the logarithmic function base e bounded above? If so, find a bounding number. If not, explain why.

Answers

According to the question, the function f(x) is bounded with constant number. And the exponential function base e is not bounded. Similarly, logarithmic function base e is also not bounded.

Bounded values can be calculated with the help of asymptotes namely, vertical, horizontal and oblique. The vertical, horizontal and oblique asymptotes are constant values which grows the values of the function f(x) without bound.

A basic logarithmic function is a function with no horizontal shift as well as no vertical shift. All logarithmic function passes through a constant points and touches the horizontal axis which results into asymptotes. It either increases from left to right, or decreases from left to right.

To learn more about the logarithmic function from the given link:

https://brainly.com/question/25638609

#SPJ4

The scale of a map says that 4 cm represents 5 km. Type each answer in the boxes below. a. What distance on the map (in centimeters) represents an actual distance of 4 kilometers? 1$$ centimeters Correct answers: 13.2 0 out of 1 b. What is the actual number of kilometers that is represented by 5 centimeters on the map? 1$$ kilometers

Answers

The distance on the map that represents an actual distance of 4 kilometers is 3.2cm.

The actual number of kilometers that is represented by 5 centimeters on the map is 6.25 kilometers.

What are the distances?

A scale drawing is a smaller version of a larger image. In this question, the map is a scale drawing of the city. The scale drawing is reduced using constant dimensions using a scale.

A scale gives the ratio of the length of the scale drawing to the actual diagram or object. In this question, every 4cm on the map represents 5km in the city.

The distance on the map = (4 x 4) / 5

16 / 5 = 3 1/5 cm = 3.2 cm

The actual distance = (5 x 5) / 4

= 25 / 4 = 6 1/4 = 6.25 kilometers

To learn more about scale drawings, please check: https://brainly.com/question/26388230

#SPJ1

You buy a 15-pound bag of bird seed. You fill a bird feeder with 5 pounds of seed. After 3 2 1/4 days, you add another pounds of seed to the feeder. How many pounds of bird seed are left in the bag?

Answers

Answer:

Step-by-step explanation:

5 pounds

Kyle did not study for the first math test of the school year on the first test the ratio of the number he got correct to the number he got incorrect was 3:5 he was not happy with his grade so he decided to study for the next test. On the second test, the ratio of the ratio of number of problems he got correct to the number he got incorrect was 6:2. How many problems did he get corrector the second test if he got 10 incorrect on the first test

Answers

The problems he got correct on the second test is 12.

How many answers did he get correct?

Ratio expresses the relationship between two or more numbers. It shows the the number of times that one value is contained within other value(s). Ratio is used to compare two or more numbers. The sign used to represent ratio is :

The first step is to determine the total number of questions on the math test : (sum of ratios x answers gotten incorrect on the first test) / ratio of the answers gotten incorrect

(8 x 10) / 5 = 16

Answers gotten correct on the second test : (ratio of correct answers / sum of ratios) x total number of questions

(6/8) x 16 = 12

To learn more about ratios, please check: https://brainly.com/question/25927869

#SPJ1

HELP ME QUICK!!!!! i don't understand
2x+5=13
-21=7-4y
m/6-3=8
-4=d+3/5

Answers

Hello, here is the answer:

Solve the inequality −3s+7 ≤ 8 or −2s+4≥12​

Answers

Answer: B

Step-by-step explanation:

answer please will mark brainliest

Answers

The total surface area or surface area of the given sphere is 84.9 cm² rounded to 1 decimal place whose radius is 2.6cm

The total surface area or surface area of a sphere is given by the formula 4πr²

From the given figure it is clear that the radius of the sphere is 2.6cm

Here, we will use the value of π as 3.14 and not 22/7

So, Substituting the values in the formula of Total surface area of a sphere.

the total surface area =4 π (2.6)²

                                              4 × 3.14 × 6.76

                                              = 84.9056 cm²

Hence, the total surface area or surface area of the given sphere is 84.9056 cm² or 84.9 cm² rounded to 1 decimal place whose radius is 2.6cm

To know more about surface area of sphere - https://brainly.com/question/14692728

#SPJ1

Ricardo went jet skiing while on vacation. The jet ski rental cost a flat rate of $25, plus $17.75 per hour. Ricardo had $102.17. How much did he have left after 3 hours of jet ski riding?

Answers

Answer:

Step-by-step explanation:

For 3 hours it cost him $78.25

25 + 17.75 + 17.75 + 17.75= 78.25

He had left from $102.17 subtract from $78.25 is $23.92

Answer:

23.92

Step-by-step explanation:

17.75x3=53.25

53.25+25=78.25

102.17-78.25=23.92


Let f(x)=x+5 and g(x)=x²-25 . What is the domain of f/g(x) ?
(A) All real numbers (B) All real numbers except 5 (C) All real numbers except -5 (D) All real numbers except -5 and 5

Answers

A composite function exists as a function that depends on another function. The value for f/g(10) is 1/5

What is meant by composition function?

In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.

Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.

Let the two functions be f(x) = x+5 and g(x) = x²-25

A function exists described as a relationship between one variable and another variable.

(f/g)(x) = f(x)/g(x) = (x+5) / (x²-25)

The domain of a function exists the set of all possible inputs for the function.

When the denominator is zero, the function remains undefined.

Hence, x cannot take the values 5 and -5.

The function (f/g)(x) is defined for all values of x except x = 5, -5.

Hence, the domain is all integers except x = 5, -5

⇒ (f/g)(10) = (10 + 5) / (100 - 25)

simplifying the above equation, we get

⇒ (f/g)(10) = (15) / (75)

(f/g)(10) =  1/5

Therefore, the value of (f/g)(10) is 1/5.

To learn more about composition function refer to:

brainly.com/question/10687170

#SPJ4


What is the quotient of (x³+2 x²-x+6) / (x+3) ?
(A) x²+5x+14
(B) x²-x+2
(C) x³+5x²+14x+42
(D) x²+x-2

Answers

The quotient of (x³+2 x²-x+6) / (x+3) is (B) x²-x+2.

What is the Polynomial long division method?Polynomial long division is an algorithm in algebra for dividing a polynomial by another polynomial of the same or lower degree, which is a generalized version of the well-known arithmetic technique known as long division. It is simple to do by hand because it divides an otherwise complex division problem into smaller ones. It is sometimes faster to use a shorthand version called synthetic division, which requires less writing and fewer calculations. Polynomial short division (Blomqvist's method) is another abbreviated method.

So, find the quotient of (x³+2 x²-x+6) / (x+3) using the Polynomial long division method:

(x³+2 x²-x+6) / (x+3) ⇒ R = 0 ⇒ quotient = x²-x+2As, (x²-x+2)(x+3) gives (x³+2 x²-x+6).

Therefore, the quotient of (x³+2 x²-x+6) / (x+3) is (B) x²-x+2.

Know more about the Polynomial long division method here:

https://brainly.com/question/24662212

#SPJ4

WHAT IS THE RANGE OF THE FOLLOWING DATA 46, 67, 89, 13, 56, 90, 45, 66


For Grade 7​

Answers

Answer:

Range = 77

Step-by-step explanation:

1. Reorder all the values in your data set from low to high.

13, 45, 46, 56, 66, 67, 89, 90

2. Subtract the lowest number from the highest number.

90 - 13 = 77

Cant submit till i find the right answer help me!!!!

Right Answers Only for crowns ratings and thankyous

Answers

Answer: y (space) 1

Since y doesn’t have any terms let’s leave that to the side and focus on the numbers
-4 -1 +6
First combine the negatives giving you
-5 + 6
Now subtract 5 from 6
6-5 = 1
Now add back the y to the equation
Y (space) 1

Is the point (-7, 1) a solution to the inequality y < 0.5x + 9? yes or no

Answers

The point (-7, 1) is in fact a solution for the inequality y < 0.5x + 9

Is the point (-7, 1) a solution to the inequality y < 0.5x + 9?

A point is a solution of a inequality only if it makes the truth value of the inequality true.

In this case, it would mean that the right side of the inequality is strictly larger than the left side.

So to check that, we just need to replace the values of the point on the inequality.

The values are x = -7 and y  = 1, replacing that in the given inequality we will get:

1 < 0.5*(-7) + 9

1 < -3.5 + 9

1 < 5.5

This is true, 5.5 is larger than 1, then we conclude that the point (-7, 1) is in fact a solution for the inequality y < 0.5x + 9

If you want to learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Work out m and c for the line: y = 2 x + 5

Answers

Answer:

m=2

Step-by-step explanation:

The answer would be m equals 2

The PTA at Greenville High School is having its annual dinner and auction to raise money for music and art programs. Last year, the event raised $42,890. This year, it raised 30% less. How much was raised this year?

Answers

The amount the PTA at Greenville High School raised this year is $30,023.

What is percentage?

The percentages are also called the centesimal ratio, and are usually accompanied by the symbol “%”, which reads “percent”.

What percentage of the last year's funds are raised this year?

The fact that the PTA at Greenville High School raises 30% less funds this year compared to last year means that the amount raised this year is 70% of last year's funds, in essence, 70% multiplied by last year's:

amount gives this year funds raisedfunds raised this year=funds raised last year*70%funds raised this year=$42,890*70%funds raised this year=$30,023

Find out more about percentages on: brainly.com/question/18706090

#SPJ1

Suppose the path of the jump changes so that the axis of symmetry becomes. X=2 and the height stays the same. If the path of the jump also passes through the point (5,5) , what quadratic function would model this path?

Answers

The quadratic function of the jump is y = -0.22x^2 +0.89x + 6.11 if the jump changes so that the axis of symmetry becomes X=2 , the height stays the same 7 and also passes through the point (5,5)

Quadratic function involving vertex is given by

y = a(x-h)^2 + k

Where (h,k) is the vertex which is given as (2,7)

y = a(x-2)^2 + 7

y = a(x-2)(x-2)  + 7

y = a(x^2 -4x +4) + 7

Recall that

h = -b/2a

k = -(b^2 -4ac)/4a

2 = -b/2a

-b = 4a

b = -4a

Put b = -4a

k = -(b^2 -4ac)/4a

7= -(b^2 -4ac)/4a

7 = -((-4a)^2 -4ac)/4a

7 = -(16a^2 - 4ac)/4a

7 =  (-16a^2 + 4ac)/4a

7 = -4a + c

c = 7 + 4a

The path of the jump also passes through (5,5)

y = ax^2 + bx + c

5 = a5^2 + b5 + c

5= 25a +5b + c

Put b = -4a in above

5= 25a +5(-4a) + c

5= 25a -20a+ c

5 = 5a + c

Put c = 7 + 4a

5 = 5a + 7 +4a

Collect like terms

5-7 = 5a + 4a

-2 = 9a

a = -2/9

Put a in

y = a(x^2 -4x +4) + 7

y = -2/9(x^2 -4x +4) + 7

y = (-2x^2 +8x -8)/9 +7

Multiple through by 9

9y = -2x^2 +8x -8 + 63

9y = -2x^2 +8x + 55

Dividing through by 9

y = -0.22x^2 +0.89x + 6.11

Therefore the equation of the jump is

y = -0.22x^2 +0.89x + 6.11.

To learn more about quadratic function. Click, https://brainly.com/question/28692589

#SPJ4


Which of the following vectors has the greatest magnitude? Explain.
a= (3,4)b = (-4, 3)c = (4,-3)

Answers

The Magnitude of all the vectors is the same.

As you know, a vector is an object with both Magnitude and direction. To find the size of a vector, we need to calculate the length of the vector. Variables such as velocity, distance, force, and momentum are vector variables. But velocity, mass, distance, volume, temperature, etc., is a scalar quantities. A vector has both Magnitude and direction, while a scalar has only one Magnitude.

The Magnitude of a vector is the length of the vector. The Magnitude value of vector a is represented by ∥a∥.

The formula for its Magnitude is given below for a two-dimensional vector a= (a1, a2).

                   

More vector-related questions are below:

https://brainly.com/question/13322477?referrer=searchResults

#SPJ4

A basketball team has won 0.625 of its games. If the team has played 24 games, how many games has the team won?

Answers

Answer:

It has won 15 games.

Step-by-step explanation:

24*.625=15

answer please will mark brainliest

Answers

The Volume of the given Hemisphere is  1071.8 cm³ rounded to 1 decimal place whose radius is 8cm

The Volume of the sphere  is given by the formula 4/3 πr³

The volume of hemisphere is half of sphere

So, The volume of hemisphere is 2/3 πr³

From the given figure it is clear that the radius of the hemisphere is 8cm

Here, we will use the value of π as 3.14 and not 22/7

So, Substituting the values in the formula of Volume of hemisphere

the Volume of hemisphere =2/3 π (8)³

                                      =2/ 3× 3.14 × 512

                                     = 1071.7867 cm³

Hence, the Volume of hemisphere 1071.7867 cm² or 1071.8 cm² rounded to 1 decimal place whose radius is 8cm

To know more about Volume of hemisphere - https://brainly.com/question/23178590

#SPJ1

PLEASE ANSWER RIGHT AWAY
8.723 x 10-¹⁰ =

Answers

An equivalent form of the index 8.723 x 10-¹⁰ is 0. 0000000008723

What is index form?

The index form of a number is simply that number written as an exponential expression, or even as a single number that is raised to another number.

Index form is also known as standard form

Given the index form;

⇒ 8.723 x 10-¹⁰

⇒ 8. 723 × 10^ -(10)

This means that there 10 zero digits from the left end of the given decimal, it is expressed as;

0. 0000000008723

Thus, an equivalent form of the index 8.723 x 10-¹⁰ is 0. 0000000008723

Learn more about index form here:

https://brainly.com/question/15361818

#SPJ1


For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function.The formula for converting from Celsius to Fahrenheit temperatures is F=9/5 C+32 .
b. Use the inverse to find the Celsius temperature that corresponds to 25⁰F .

Answers

The formula for converting from Celsius to Fahrenheit temperatures is F = 9/5 C + 32 then the inverse function is one-to-one.

What is the inverse formula?

The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value.

The formula for converting from Celsius to Fahrenheit temperatures is

F = 9/5 C + 32.

Let the Fahrenheit temperatures is F = 9/5 C + 32

Subtract 32 from both sides:

F - 32 = 9/5 C + 32 - 32

F − 32 = 9/5 C

Multiply both sides by 5:

5(F − 32) = 9C

Divide both sides by 9:

5/9 (F − 32) = C or C = 5/9 (F − 32)

For 27° F

⇒ C =  5/9 (27 - 32)

⇒ C =  5/9 (-5)

C = -25/9

-2.78 C° 2.dp.

Yes, the inverse is a one-to-one function.

To learn more about inverse formula refer to:

brainly.com/question/10219387

#SPJ4


Solve. Check for extraneous solutions. √√x+25 = √x+5

Answers

-1 is the extraneous solution

To know the value of x first we need to remove the square root of the equation

[tex]\sqrt \sqrt{x +25}[/tex]  = [tex]\sqrt{x + 5}[/tex]

So to get the value we have to square both sides of the equation

[tex](\sqrt\sqrt{x +25})^{2}[/tex] = [tex](\sqrt{x + 5} )^{2}[/tex]

We get

[tex]\sqrt{x +25}[/tex]= x + 5

Now again we have to square both sides of the equation

x + 25 = [tex](x + 5)^{2}[/tex]

x + 25 =[tex]x^{2}[/tex] + 10x + 25( As we know [tex](a + b)^{2}[/tex]= [tex]a^{2}[/tex] + [tex]b^{2}[/tex] + 2ab )

[tex]x^{2}[/tex] + 9x = 0

x( x + 9) = 0

Therefore x = 0, -9

1 = [tex]\sqrt{-1}[/tex]

9 = [tex]\sqrt{81}[/tex]

The square root of 81 is 9 but the square root of -1 is an imaginary number

so the correct choice is " 9 is the solution of the equation " and -1 is the extraneous solution

To know more about the extraneous solutions refer to the link given below:

https://brainly.com/question/13198706

#SPJ4

A box of oats cereal measures 24 cm long by 5 cm wide 25 cm high. A box of rice cereal measures 26 cm long by 4 cm wide by 28 mm high. Which box has the greater volume? How much greater?

Answers

Answer:

Box of oat:

24*5*25(all in cm)=3000 cm3

cereal:

26*4*2.8=291.2 cm3

oat is grater by 2708.8

Step-by-step explanation:

28mm was changed to 2.8 cm


Which function represents the value after x years of a new delivery van that costs $ 25,000 and depreciates 15 % each year?
(A) y=-15(25,000) x (C) y=25,000(0.85)x (B) y=25,000(0.15)x D) y=25,000(1.15) x

Answers

The function that represents the value after x years of a new delivery van that costs $ 25,000 and depreciates 15 % each year is option (C) y = 25000(0.85)ˣ.

Consider the compound interest formula:

y = P(1 + r/n)ⁿˣ

y here stands for the car's potential value.

P represents the value of the new car.

r is a measure of how quickly a car's value declines.

The number n indicates how frequently the car's value depreciates each year.

x represents the number of years.

Given P = 25000

r = -15% = -0.15 (Since the value of the car depreciates)

n = 1

x = x

Using the given values, we get the function as,

y = 25000(1 + (-0.15)/1)ˣ

⇒ y = 25000(1 - 0.15)ˣ

⇒ y = 25000(0.85)ˣ

Therefore, the function that represents the value after x years of a new delivery van that costs $ 25,000 and depreciates 15 % each year is option (C) y = 25000(0.85)ˣ.

Learn more about function here:

https://brainly.com/question/25638609

#SPJ4

What is the answer to this problem ?

Answers

The correct option for showing the interval (-∞, -7) is Option C.

What is Interval?

An interval includes all the numbers that come between two particular numbers.

The given interval is (-∞, -7).

Now, On the number line (-∞, -7) is shown as;

The interval is open interval.

Hence, At point -7 the graph is in open circle.

And, The graph is going left side.

Hence, The correct option for showing the interval (-∞, -7) is Option C.

Which is shown in figure.

Learn more about the interval visit:

https://brainly.com/question/28531287

#SPJ1

Find the distance between each pair of point

Answers

Answer:

6

Step-by-step explanation:

what is ∠ABD, ∠CBD, and ∠ABC??

Answers

The measure of angle ABD (m ∠ABD) is 44°

The measure of angle CBD (m ∠CBD) is 44°

The measure of angle ABC (m ∠ABC) is 88°

From the question, we are to calculate the measures of the given angles

From the given, information, we have that BD bisects ∠ABC

Thus,

m ∠ABD = m ∠CBD

From the given diagram,

m ∠ABD = (6x + 14)°

and

m ∠CBD = (3x + 29)°

Then,

(6x + 14)° = (3x + 29)°

Solve for x

(6x + 14)° = (3x + 29)°

6x + 14 = 3x + 29

Collect like terms

6x - 3x = 29 - 14

3x = 15

x = 15/3

x = 5

Put the value of x into the equations

m ∠ABD = (6(5) + 14)°

m ∠ABD = (30 + 14)°

m ∠ABD = 44°

Since

m ∠ABD = m ∠CBD

Then,

m ∠CBD = 44°

and

m ∠ABC = m ∠ABD + m ∠CBD

m ∠ABC = 44° + 44°

m ∠ABC = 88°

Hence, the m ∠ABD = 44°, m ∠CBD = 44°, and m ∠ABC = 88°

Learn more on Calculating measures of angles here: https://brainly.com/question/5371386

#SPJ1

Select the correct answer.
Statement 1: A citizen can vote if he or she is older than 18.

Statement 2: A citizen who is younger than 18 cannot vote.

How is statement 2 related to statement 1?

A.
The relationship between the statements cannot be determined.
B.
Statement 2 is the inverse of statement 1.
C.
Statement 2 is the converse of statement 1.
D.
Statement 2 is the contrapositive of statement 1.

Answers

Answer:

Statement 2  A supports statement 2 Best

Step-by-step explanation:

statement two is correct a citizen under the age of 18 cannot vote.

An inverse statement means the opposite of the original statement.

So, A would best support the answer.

I apologize if I am wrong in any way please kindly correct me.

Have a an amazing Day my fellow brainly users!

Answer:

A.

Statement 2 is the contrapositive of statement 1.

Step-by-step explanation:

Shannon buys a bag online for $32.00 including tax, and the shipping is $4.00. If she decided to buy more of the same bags and it doesn't change the shipping cost, how many can she buy with $100.00
8
3
6
7

Answers

Answer: 6

Step-by-step explanation:Shannon buys a bag online for $32.00 including tax, and the shipping is $4.00. If she decided to buy more of the same bags and it doesn't change the shipping cost, how many can she buy with $100.00

Other Questions
2. For a-4-5c when c=-12, what does a equal? QuestionWhat is the slope of the line passing through the points (1, 3) and (4, 7) Homeowners have the option of building porches, decks, and fencing with composite boards or traditional wood boards. Traditional wood decking is made from pressure-treated lumber that resists rot, mold, and insects. The process of pressure treating wood also involves soaking the boards in a protective chemical solution. The wood boards still have to be sealed against moisture on a routine basis. Composite boards are made by pressing together ground wood scraps and recycled plastic, which is heated and pressure-treated and then coated with UV and stain-resistant coatings. Composite boards do not need to be sealed against moisture. Part 1: Describe at least two advantages to using composite boards for construction projects. Assume that cost is not an issue.Part 2: Describe how each resource does or does not impact the environment. Avery is deciding between two landscaping companies for her place of business.Company A charges $45 per hour and a $300 equipment fee. Company B charges$70 per hour and a $200 equipment fee. Let A represent the amount Company Awould charge for t hours of landscaping, and let B represent the amount Company Bwould charge for f hours of landscaping. Write an equation for each situation, interms of t, and determine the interval of hours, t, for which Company A is cheaperthan Company B. who is the father of economic and well as the classical economist HELP PLEASEEvaluate the expression.34251514Write your answer as a fraction or as a whole or mixed number. Which is the critical step for a virus to reproduce? according to strain theory, what theoretical orientation is important to understanding the relationship between family structure and delinquency?a.biologicalb.criticalc.life coursed.normative What are the limitations of power? can someone explain how do i do this 343c^3+d^3=? Lapis lazuli was valued by Ancient Egyptians both because it is stunningly beautiful and because it was extremely rare. Give two specific examples from the passage that demonstrate just how much Egyptians valued the stone. To ensure personnel assigned to engagements are independent in both fact and appearance, firms should ______. What is a factor that the experimenterhas full control over and changes to seewhat happens? Name the following aromatic hydrocarbon: A. chlorobenzene C. chlorohexane -Cl B. chlorohexyne D. benzene chloride A firm produces a product that has the production cost function C(x)=220x+3905 and the revenue functionR(x)=275x. No more than 22 units can be sold. Find and analyze the break-even quantity, then find the profit function.The break-even quantity is 71 units.(Type a whole number.)If the company can produce and sell no more than 22 units, should it do so?OA. Yes. Since 22 is greater than the break-even quantity, production of the product can produce a profit.OB. Yes. Since 22 is less than the break-even quantity, production of the product can produce a profit.C. No. Since 22 is equal to the break-even quantity, production of the product cannot produce a profit.D. No. Since 22 is less than the break-even quantity, production of the product cannot produce a profit.Write the profit function.P(x)= The lowest altitude of an alto cumuluscloud is about 38 feet. The highest altitude of analtocumulus cloud is about 3 times the lowestaltitude. What is the highest altitude of an altocumulus cloud? Write your answer as apower. A restaurant has 5 3/8 pitchers of lemonade. Jada said 5 3/8 1 1/8 could represent the number of total servings if there are 1 1/8 servings per pitcher. Latanya said 5 3/8 1 1/8 could represent the average number of pitchers the restaurant serves per day if it takes 1 1/8 days to serve all of the lemonade. How did mathematics spread in Islam? Does anyone have the questions to the 7th grade unit test for INTRODUCTION TO HUMAN INTERACTION in World Geography?? A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3227 tickets overall. It has sold 158 more $20 tickets than $10 tickets. The total sales are $62,410. How manytickets of each kind have been sold?ILL GIVE BRAINLIEST