What is the surface area of a cylinder with base radius 4 and height 7?Either enter an exact answer in terms of \pi or use 3.14 for \piπpi and enter your answer as a decimal

Answers

Answer 1

Answer:

The surface area is 88*pi square units.

Step-by-step explanation:

The surface area of a cylinder is given by two times the area of the base plus the area of the sides. This is given bellow:

surface area = 2*(base area) + (side area)

base area = pi*r²

base area = pi*(4)²

base area = pi*16 = 16*pi

side area = 2*pi*r*h

side area = 2*pi*4*7

side area = 8*7*pi

side area = 56*pi

surface area = 2*(16*pi) + 56*pi

surface area = 32*pi + 56*pi

surface area = 88*pi

The surface area is 88*pi square units.

Answer 2

Answer:

112π cubic units

Step-by-step explanation:

The volume of a cylinder is the area of the base × height.

The area of a circle is πr to the 2nd power

So the area of the base is π × 4 to the second power = 16π

The height of the cylinder is 7, so the volume is 16π × 7 = 112π cubic units


Related Questions

2. A medical study tests a new cough medicine on 4250 people. It is effective for 3982 people. What is the experimental probability that the medicine is effective? For a group of 9000 people, predict the approximate number of people for whom the medicine will be effective.​

Answers

Answer:

For a 9000 people, the approximate number of people for whom the medicine will be effect is 8432 people

Step-by-step explanation:

Here we have probability is given by

Probability = [tex]\frac{Number\, of \, Success}{Number\, of \, Trials}[/tex] Where:

Number of success = 3982 and

Number of trials = 4250. therefore;

[tex]Probability \, of \, Success = \frac{3982}{4250} = \frac{1991}{2125}[/tex]

Therefore, when the medicine is used on 9000 people, the approximate number of people for whom the medicine will be effect is given by;

[tex]\frac{1991}{2125} = \frac{x}{9000} \rightarrow x \times2125 = 1991 \times 9000\\x = \frac{1991 \times 9000}{2125} = \frac{143352}{17} = 8432\frac{8}{17}[/tex]

or ≈ 8432 people.

Ms. Lindsey surveyed a random sample of students at her school to determine how they got to school. The results are shown below: ∙ 8 students walk or ride a bike ∙ 12 students ride in a car ∙ 25 students take the bus Based on the results of the survey, how many of the 900 students in 7th grade do NOT take the bus to school? Please explain I'm very confused.

Answers

20 I think because 8+12

John asked the players on his hockey team their height in
inches and listed the results below. What is the range of
the data set? Round to the nearest tenth when necessary
76, 72, 70, 68, 72, 62

Answers

You subtract the smallest number from the largest to find the range. 76-62=14

Answer:

70

Step-by-step explanation:

for what value of x does the function y=2/3x+1 have the same x and y coordinate

Answers

Answer:

3

Step-by-step explanation:

[tex]y=\frac{2}{3}x +1[/tex]

If [tex]x[/tex] is 3, then

[tex]y =\frac{2}{3}(3) +1[/tex]

[tex]y=2+1[/tex]

[tex]y=3[/tex]

Both [tex]x[/tex] and [tex]y[/tex] equal 3. So, the value of [tex]x[/tex] must be 3 for the function to have the same coordinate for [tex]x[/tex] and [tex]y[/tex].

I’ll give thanks to those that help of course. I promise

Answers

Answer: 74

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

73+ 21

A builder is putting in a circular patio. Find the circumference by using 22/ 7 as an estimate for . What is the circumference if the radius is 5 yards.

Answers

Answer:

110/7 yards

Step-by-step explanation:

Given:-

- The radius of circular patio, r = 5 yards

Find:-

What is the circumference of circular patio

Solution:-

- The circumference "C" of a circle is given as:

            [tex]C =2 *\pi*r\\\\\pi = \frac{22}{7} \\\\ C = 2*\frac{22}{7}*5\\\\C = \frac{110}{7} yards[/tex]

- The circumference of the circular patio is 110 / 7 yards.            

What are the solutions to the quadratic equation 4x^2 = 64?

Answers

Answer: 4x^{2} =64

x^{2} =16

x= \sqrt{16}

The square root of 16 is either positive four or negative four.

Answer:

x = 4 or x = -4

Step-by-step explanation:

4x² = 64

4x² - 64 = 0

(2x + 8) (2x - 8) = 0

x = ± 4

A fish tank contains as many goldfish as mollies, and there are 6 more guppies than goldfish. If the total combined number of fish in the tank is 22, how many mollies are in the tank?

Answers

Answer:

8 mollies

Step-by-step explanation:

22-6=16

16/2=8 mollies

Answer:

5

Step-by-step explanation:

Find the value of x that makes m ∥ n.

Answers

Answer:

x = 40

Step-by-step explanation:

In order for m and n to be parallel, the corresponding angles need to be equal. Therefore we get the equation:

3x = 120

Divide both sides by 3 to get:

x = 40

If you vertically stretch the exponential function f(x) = 2^x by a factor of 5, what is the equation of the new function?
A. g(x) = 1/5 x 2^x
B. g(x) = 5 x 2^x
C. g(x) = 2 x 5^x
D. g(x) = 2^5x

Answers

Answer:

B

Step-by-step explanation:

In this case we multiply the function f(x) = 2^x by 5, so the correct answer is B.

Dan buys a car for £700. It depreciates at a rate of 5.5% per year. How much will it be worth in 6 years? Give your answer to the nearest penny where appropriate.

Answers

The correct answer is:

£498.53

7.97 as a mixed fraction and a improper fraction

Answers

Answer:

7 97/100

797/100

Step-by-step explanation:

what is the slope of a line perpendicular to the line whose equations is x-y=-3?

Answers

The slope of a line perpendicular to the line with equation x - y = -3 is -1, as perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the line perpendicular to the line whose equation is x - y = -3 can be found by first writing the equation in the slope-intercept form (y = mx + b) to determine the slope of the given line. By rearranging the given equation to y = x + 3, we can see that the slope (m) of the line is 1. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of a line perpendicular to this one would be the negative reciprocal of 1, which is -1. Therefore, the slope of the line perpendicular to the line with equation x - y = -3 is -1.

There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 people use the gym and the pool. 9 people use the pool and the track. 16 people use the gym and the track. 4 people use all three facilities. Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Final answer:

The probability that a person who uses the gym and the track does not use the swimming pool is 3/4.

Explanation:

We are asked to find the probability that a person who uses the gym and the track does not use the swimming pool. The number of people who use both the gym and the track is 16. Among these, 4 also use the pool, which means that 16 - 4 = 12 people use just the gym and the track, and not the pool. The probability that a randomly selected person who uses the gym and the track does not use the pool is calculated as the number of gym-and-track users who don't use the pool divided by the total number of gym-and-track users, which is 12/16 or 3/4.

Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 48 days and a standard deviation of 10.5 days. Find the probability that a simple random sample of 36 protozoa will have a mean life expectancy of 51 or more days.

Answers

Answer:

P ( x_bar ≥ 51 ) = 0.0432

Step-by-step explanation:

Solution:-

- The random variable "X" denotes:

                  X : life expectancies of a certain protozoan

- The variable "X" follows normal distribution.

                  X ~ Norm ( 48 , 10.5^2 )

- A sample of n = 36 days was taken.

- The sample is also modeled to be normally distributed:

                  x ~ Norm ( 48 , ( 10.5 / √n)^2 )

- The sample standard deviation s = 10.5 / √n = 10.5 / √36

                                                      s = 1.75

- We are to investigate the the probability of sample mean x_bar ≥ 51 days:

                 P ( x_bar ≥ 51 )

- Standardize the results, evaluate Z-score:

                 P ( Z ≥ ( x_bar - u ) / s ) =  P ( Z ≥ ( 51 - 48 ) / 1.75 )

                 P ( Z ≥ 1.7142 ).

- Use the standardized normal table and evaluate:

                 P ( Z ≥ 1.7142 ) = 0.0432                  

Hence,      P ( x_bar ≥ 51 ) = 0.0432

The correct probability is approximately 0.0477.

Given that the life expectancies of the protozoa are normally distributed with a mean [tex](\(\mu\))[/tex] of 48 days and a standard deviation [tex](\(\sigma\))[/tex] of 10.5 days, we can use the Central Limit Theorem to find the probability that a simple random sample of 36 protozoa will have a mean life expectancy [tex](\(\bar{x}\))[/tex] of 51 or more days.

The Central Limit Theorem states that the distribution of the sample means will be approximately normal with a mean equal to the population mean [tex](\(\mu\))[/tex] and a standard deviation equal to the population standard deviation [tex](\(\sigma\))[/tex]divided by the square root of the sample size [tex](\(n\))[/tex]. This standard deviation of the sample mean is known as the standard error (SE).

First, we calculate the standard error (SE) of the mean:

[tex]\[ SE = \frac{\sigma}{\sqrt{n}} = \frac{10.5}{\sqrt{36}} = \frac{10.5}{6} \approx 1.75 \][/tex]

Next, we find the z-score for a sample mean of 51 days. The z-score is calculated as follows:

[tex]\[ z = \frac{\bar{x} - \mu}{SE} = \frac{51 - 48}{1.75} = \frac{3}{1.75} \approx 1.71 \][/tex]

Now, we look up the z-score of 1.71 in the standard normal distribution table or use a calculator to find the probability of a z-score being greater than or equal to 1.71. This gives us the area to the right of the z-score.

Using a standard normal distribution table or calculator, we find that the area to the right of a z-score of 1.71 is approximately 0.0438. However, since we are looking for the probability of a mean life expectancy of 51 or more days, we need to subtract this area from 0.5 (since the normal distribution is symmetric, and we are interested in the upper tail of the distribution).

[tex]\[ P(\bar{x} \geq 51) = 0.5 - P(z < 1.71) \approx 0.5 - 0.0438 = 0.4562 \][/tex]

However, this calculation is slightly off due to rounding errors. The exact calculation using more precise values for the z-score and the corresponding area under the normal curve yields a probability of approximately 0.0477.

Therefore, the probability that a simple random sample of 36 protozoa will have a mean life expectancy of 51 or more days is approximately 0.0477.

Numbered disks are placed in a box and one disk is selected at random. If there are 6 red disks numbered 1 through 6, and 2 yellow disks numbered 7 through 8, find the probability of selecting a red disk, given that an odd-numbered disk is selected.

Answers

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Total number of red disk=6

Total number  of yellow disk=2

Total disk=6+2=8

Odd number=1,3,5,7=4

Odd number on red disk=1,3,5=3

Probability,[tex]P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}[/tex]

Using the formula

The probability of getting odd number disk=[tex]\frac{4}{8}=\frac{1}{2}[/tex]

The probability of getting odd numbered  red disk=[tex]\frac{3}{8}[/tex]

The probability of selecting a red disk,given that an odd numbered disk is selected=[tex]\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}[/tex]

Using conditional probability

[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]

A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum of the ounces of greens and twice the ounces of carrots is less than 4. Which graph represents the system of equations for this scenario?

On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 4) and (2, 3). Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the right of the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 4) and (2, 3). Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the left of the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything to the left of the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 3) and (2, 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything to the left of the line is shaded.

Answers

(c) Two straight lines are displayed on a coordinate plane. Having a positive slope, the first solid line passes through (0, negative 3) and (2, 1). Shaded areas surround the line to the right. The second dashed line travels through (0, 2) and has a negative slope (4, 0). Shaded areas surround the line to the left.

What is the coordinate plane?

A tool for graphing points, lines, and other objects is a coordinate plane. It follows directions from one place to another as a map might.

Given, a salad is prepared so that there is at least a 3-ounce gap between twice as many greens and twice as much carrot. Additionally, the total weight of the greens and twice as many carrots is less than 4. Hence,

2g - c  = 3....(1)

g + 2c < 4.....(2)

Comparing both equations

intersecting Coordinates of g and c will be(2, 1 ).

Therefore, the given equation will make two straight lines that intersect each other at (2, 1), and for more information refer attached graph.

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Due to a manufacturing error, 2 cans of regular soda were accidentally filled with diet soda and placed into a24 -pack.
Suppose that two cans are randomly selected from the 24-pack. Complete parts (a) through (c).
(a) Determine the probability that both contain diet soda.
P(both diet) = (Round to four decimal places as needed.)
(b) Determine the probability that both contain regular soda.
P(both regular) = (Round to four decimal places as needed.)
Would this be unusual?
No
Yes
(c) Determine the probability that exactly one is diet and exactly one is regular.
P(one diet and one regular) = (Round to four decimal places as needed.)

Answers

Answer:

a) 1/48 or 2.0833%

b) 46/48 or 95.8333%

no it would not be unusual

c) I'm not sure sorry

For this question please tell me if I'm right or wrong. If I'm wrong please correct me.

Please use the following image below in order to answer the question correctly:

Tell whether NM is best described as a radius, chord, diameter, secant, or tangent of ⊙P.

What can NM be best described as?

Please show all the work on how you got your answer. ( I'm not asking for an explanation. All I want is the work shown so I can understand how you got your answer)

Answers

Answer:

NM would actually represent a chord. Tangent are lines that would be outside of the circle.

Answer:

B) chord

Step-by-step explanation:

NM are two points on the circumference and the segment doesn't pass through the centre, so it's a chord

Students in a college statistics class want to conduct a survey to determine the percentage of students in the school who are willing to pay a fee for participating in extracurricular activities. thirty students are randomly selected to complete the survey from each of the freshman, sophomore, junior, and senior classes. this plan is an example of which type of sampling?
a. convenience sampling
b stratified sampling
c. simple random sampling
d.a cluster sampling

Answers

b. stratified sampling

The plan to determine the percentage of students in a school willing to pay a fee for participating in extracurricular activities is an example of stratified sampling. In stratified sampling, the population is divided into subgroups or 'strata' that share similar characteristics, and a random sample is taken from each stratum. In this case, the classes (freshman, sophomore, junior, and senior) serve as the strata, and thirty students from each class are randomly selected to complete the survey. This approach ensures that each subgroup is adequately represented in the sample, making the results more reflective of the entire school population.

There are 5280 feet in a mile. What fraction is represented by 240 feet?

Answers

Final answer:

To find the fraction represented by 240 feet out of 5280 feet (a mile), set up a proportion: 240 feet/5280 feet = x/1. Cross multiplying gives x = 240/5280. Therefore, the fraction represented by 240 feet is 240/5280.

Explanation:

To find the fraction that is represented by 240 feet out of 5280 feet (which is the length of a mile), we can set up a proportion. Let's call the fraction we're looking for x. The proportion is:

240 feet/5280 feet = x/1

Cross multiplying, we have 240 * 1 = 5280 * x. Simplifying, we get x = 240/5280. Therefore, the fraction represented by 240 feet is 240/5280.

What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) End Fraction A.The coefficient of the solution is 6.4, the difference of the original coefficients. B.The exponent of the solution is –12, the difference of the original exponents. C.The coefficient of the solution must be greater than or equal to one but less than 10. D.The quotient is 3.0 × 10-12 E.The solution is a very large number.

Answers

Answer:

B.The exponent of the solution is –12, the difference of the original exponents.

C.The coefficient of the solution must be greater than or equal to one but less than 10.

D.The quotient is 3.0 × [tex]10^{-12}[/tex]

Step-by-step explanation:

We are finding the quotient of the expression below in scientific notation

[tex]\dfrac{9.6X10^{-8}}{3.2X10^4} \\=\dfrac{9.6}{3.2}X10^{-8-4}\\ =3 X 10^{-12}[/tex]

The following conclusions can be drawn

B.The power of 10 in the solution is –12, the difference of the original exponents.

C.The coefficient is 3, which is greater than or equal to one but less than 10.

D.The quotient is 3.0 × [tex]10^{-12}[/tex]

find the value of sec (θ) for an angle θ in standard position with a terminal ray that passes through the point (4, -3)

Answers

Answer:

d. 5/4

Step-by-step explanation:

The secant of an angle with a terminal ray through the point (4, -3) is the distance to the origin divided by the x-coordinate, or

[tex]\sqrt{4^{2}+(-3)^2}[/tex] / 4 = 5/4

Answer:

d. 5/4

Step-by-step explanation:

(4,-3) is in quadrant 4

cos/sec is positive in this quadrant

Hypotenuse = sqrt(3² + 4²)

sqrt(25)

5

cos(theta) = 4/5

sec(theta) = 5/4

The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.


(Figure is not drawn to scale.)



Which of the following options is closest to the distance (in miles) between points A and B? (5 points)


Group of answer choices


3.46 miles


4.24 miles


4.90 miles


5.92 miles

Answers

Answer:

It’s in between a and b

Step-by-step explanation:

Answer:

i believe the answer is a

The number of yards of fabric needed for Robs costume is (7/8+1/2+1 3/4)÷2. How does the amount of fabric needed for Robs costume compare to the amount needed for jimmys costume ?Explain

Answers

The amount of fabric needed for Jimmy's costume is not stated, we can only determine the amount needed for Rob's costume, which makes it impossible to compare the amounts needed for both of their costumes. If this omission was an error, then you can find the difference between these amounts if the amount needed for Jimmy's costume is stated explicitly.

Step-by-step explanation:

The number of yards of fabric needed for Robs costume is (7/8+1/2+1 3/4)÷2

Assuming 1 3/4 is a mixed fraction.

= (7/8 + 1/2 + 7/4) ÷ 2

= (7 + 4 + 2) ÷ (8 × 2)

= 13/16 yards

Suppose 2 yards of fabric is needed for Jimmy's costume, then comparing with Rob's yards, we see that Jimmy's costume requires (2 - 13/16 = 19/16) more yards than Rob's costume.

A punch recipe calls for 4 cups of lemonade to 3 cups of sparking juice.If sara is making 42 cups of punch then how many cups of lemonade does she need

Answers

For 42 cups of punch 168 cups lemonade is used.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have, For one punch 4 cups of lemonade to 3 cups of sparking juice is used.

Now, for 42 cups the amount of Lemonade needed

= 4 x 42

= 168 cups

and, Amount of Sparking juice needed

= 3 x 42

= 126 cups

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3(n+2)=9(6-n)
help me please

Answers

Answer:

n=4

Step-by-step explanation:

3n+6 = 54-9n

3n+9n = 54 - 6

12n = 48

n=4

Answer:

4

Step-by-step explanation:

3n+6=54-9n

3n+9n=54-6

12n=48

n=48/12

n=4

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What effect does a negative have when placed Inside the parentheses?

Answers

Answer: it makes a horizontal shift. for example: (x-4) means the graph moved 4 units to the RIGHT.

Step-by-step explanation: it is essentially the opposite of what you think if it's inside the parenthesis.

t is known that the population variance equals 484. With a 0.95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is 25 74 189 75 None of the above answers is correct

Answers

Answer:

The sample size needed to be taken is approximately 74.

Step-by-step explanation:

To get alpha; we have 1 - 0.95 = 0.05

Therefore, [tex]z_{\frac{a}{2} } = \frac{0.05}{2} = 0.025[/tex]

The we look up z* in a Standard Normal table where α = 0.025 area in each tail.

From the table, z* = 1.96

From the question variance is 484, then the standard deviation is 22

Standard deviation = [tex]\sqrt{Var(x)} = \sqrt{484} = 22[/tex]

And margin of error is 5 or less

The formula for margin of error is given as:

margin of error = [tex]\frac{(z^{*}) (SD)}{\sqrt{n} }[/tex]

[tex]5 = \frac{1.96 * 22}{\sqrt{n} } \\5 = \frac{43.12}{\sqrt{n} } \\5 * \sqrt{n} = 43.12\\(5)^{2} * (\sqrt{n} )^{2} = (43.12)^2\\25 * n = 1859.3344\\25n = 1859.3344\\\frac{25n}{25} = \frac{1859.3344}{25} \\n = 74.373376\\n = 74[/tex]

The approximate value of n is 74.


A company is designing a new cylindrical water
bottle. The volume of the bottle will be 162 cm3.
The height of the water bottle is 7.7 cm. What is
the radius of the water bottle? Use 3.14 for It.

Answers

Answer:

21

Step-by-step explanation:

To find the area of a cylinder you mutliply radius by height.

r*h = 162

If we know the height is 7.7, substitute it for h.

r*7.7 = 162.

Or:

162 / 7.7

Which gives you 21.03, or 21.

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Three sides measuring 3 cm, 4cm,5cm Multiple Choice Question 119 Crane Company developed the following data for the current year: Beginning work in process inventory $ 206000 Direct materials used 208000 Actual overhead 176000 Overhead applied 184000 Cost of goods manufactured 960000 Total manufacturing costs 916000 How much is Crane Company's ending work in process inventory for the year What term best describes the soviet states transition into independence What is 150% of 3? Round to the nearest hundredth (if necessary). A line segment has end points at (4, -6) and (0, 2) what is the slope of the given like segment Based on morphological and molecular data, researchers hypothesize that the split between dugongs and proboscideans likely occurred between 48 and 34 million years ago. Explain how molecular data from fossils and living organisms would support the existence of an evolutionary relationship between dugongs and proboscideans. A smaller rectangle is inside of a larger rectangle. The smaller rectangle has sides lengths of 9 x and 6 x. The distance to the larger rectangle on all sides is x. The space between the smaller rectangle and the larger rectangle is shaded.The figure shows two rectangles. Which expression represents the area of the shaded region?16x2 34x254x288x2 Use the net to find the surface area of the square pyramid.A)152 in2B)264 in2C)336 in2D)448 in2 3. Your expenses that change month to month are called? Showcase Co., a furniture wholesaler, sells merchandise to Balboa Co. on account, $47,600, terms n/30. The cost of the goods sold is $28,600. Showcase Co. issues a credit memo for $9,500 for merchandise returned prior to Balboa Co. paying the original invoice. The cost of the merchandise returned is $5,700. a. Journalize Showcase Co.'s entries for (1) the sale, including (2) the cost of the goods sold. If an amount box does not require an entry, leave it blank. (1) (2) b. Journalize Showcase Co.'s entries for (1) the credit memo, including (2) the cost of the returned merchandise. If an amount box does not require an entry, leave it blank. (1) (2) c. Journalize Showcase Co.'s entry for the receipt of the check for the amount due from Balboa Co. If an amount box does not require an entry, leave it blank. A bridge over a river has the shape of a circular arc. The span of the bridge is 24 meters. (The span is the length of the chord of the arc.) The midpoint of the arc is 4 meters higher than the endpoints. What is the radius of the circle that contains this arc Air is compressed from 100 kPa, 300 K to 1000 kPa in a two-stage compressor with intercooling between stages. The intercooler pressure is 300 kPa. The air is cooled back to 300 K in the intercooler before entering the second compressor stage. Each compressor stage is isentropic. Please calculate the total compressor work per unit of mass flow (kJ/kg). Repeat for a single stage of isentropic compression from the given inlet to the final pressure. Which of the following occurs when a substance changes its state of matter (e.g., from a liquid to a gas or from a solid to a liquid)?A. Both the amount of heat and the temperature change.B. Neither the amount of heat nor the temperature changes.C.The amount of heat does not change, but the temperature changes,D.The amount of heat changes, but the temperature does not change. A marketing research company is estimating which of two soft drinks college students prefer. A random sample of n college students produced the following 95% confidence interval for the proportion of college students who prefer drink A: (.262, .622). Identify the point estimate for estimating the true proportion of college students who prefer that drink.