▲DEF has vertices D (-2 ,1 ), E (2,4), and F (3,1) and is dilated by a factor of 3 using the point (1,1) as the point of dilation. The dilated triangle is names ▲D'E'F'.
If your answer is useless then don't answer because last time someone typed random stuff and I was left answerless.

DEF Has Vertices D (-2 ,1 ), E (2,4), And F (3,1) And Is Dilated By A Factor Of 3 Using The Point (1,1)
DEF Has Vertices D (-2 ,1 ), E (2,4), And F (3,1) And Is Dilated By A Factor Of 3 Using The Point (1,1)
DEF Has Vertices D (-2 ,1 ), E (2,4), And F (3,1) And Is Dilated By A Factor Of 3 Using The Point (1,1)

Answers

Answer 1

The dilated triangle is names ▲D'E'F' ,

Vertex D' → ( -8, 1)

Vertex E' → (4, 10)

Vertex F' → (7, 1)

What is dilation ?

Reducing the object's size by dilation is a change. The items are enlarged or shrunk through dilation. An image that retains the original shape is created by this alteration. The size of the form does differ, though. A dilatation should either enlarge or decrease the initial form. By using the phrase "scaling factor," this transition is described.

Enlargement is the name given to a dilatation that results in a larger image.

Reduction is what happens when a dilatation results in a smaller picture.

According to question

Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':

[tex]D_{(O,k)}(x,y) = (k(x-a) +a, k(y-b) +b)[/tex]

Where "O" is the center of dilation at (a,b) and "k" is the scale factor.

In this case you can identify that:

(a,b) = (1,1)

k = 3

Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:

Vertex D' → [tex](3(-2-1) +1, 3(1-1) +1) = (-8, 1)[/tex]

Vertex E' → [tex](3(2-1) +1, 3(4-1) +1) =(4,10)[/tex]

Vertex F' →[tex](3(3-1) +1, 3(1-1) +1) =(7,1)[/tex]

hence the vertex of ▲D'E'F' are (D' → ( -8, 1),  E' → (4, 10), F' → (7, 1).)

To learn more about Dilation , check out

https://brainly.com/question/13176891

#SPJ1


Related Questions

find f(20) if f(x)=[tex]\frac{1}{4}x+5[/tex]

Answers

Answer:

f(20) = 10

Step-by-step explanation:

Please help brainliest

Answers

The missing side of the right triangle is b = 35.7

How to find the missing measure?

Remember that we know that for a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse.

Here we know that c is the hypotenuse, so we can write:

a^2 + b^2 = c^2

We also know that:

a = 13

c = 38

And we want to find the value of b, so we can write:

b^2 = c^2 - a^2

b = √(c^2 - a^2)

b =  √(38^2 - 13^2)

b = 35.7

That is the value of the missing side.

Learn more about right triangles:

https://brainly.com/question/2217700

#SPJ1

what is the probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5

Answers

The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.

What is probability?

Probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Calculation:

Mean = 10.5 and Total no. of females = 5 = random variable

Now, the Probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5:
P(x > 10.5)

Z = ( x- μ )

=  (σ / [tex]\sqrt{n}[/tex])

=  10.5 / 5

=  2.1

The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.

To know more about Probability and Statistics, check out:

https://brainly.com/question/10734660

#SPJ1

Jeremy spent a total of $79.16 on a shirt and one pair of jeans. He knows the jeans cost $49.95 but he does not know the cost of the shirt, s. He created the model shown to find the cost of the shirt.

Answers

The model to show the cost of the shirt is x+49.95=79.16. Therefore, the cost of shirt is $29.21.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Jeremy spent a total of $79.16 on a shirt and one pair of jeans.

Let the cost of shirt be x.

The jeans cost is $49.95

Now, the cost of shirt + the cost of jeans = Total cost

⇒ x+49.95=79.16

⇒ x=79.16-49.95

⇒ x=$29.21

Therefore, the cost of shirt is $29.21.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

What is the process of the federal congress to making a law

Answers

Answer:

The Bill Begins. Laws begin as ideas.

The Bill Is Proposed. When a Representative has written a bill, the bill needs a sponsor.

The Bill Is Introduced.

The Bill Goes to Committee.

The Bill Is Reported.

The Bill Is Debated.

The Bill Is Voted On.

The Bill Is Referred to the Senate

Step-by-step explanation:

ACSA Governmental Relations staff tracks hundreds of education related bills through the legislative process from introduction through to the Governor’s signature or veto of the bill. We bring most of these bills to ACSA’s Legislative Policy Committee to take positions on behalf of ACSA. Once these positions are set by the Committee, ACSA Governmental Relations staff begins advocating for or against the bill in accordance with the position taken.

When necessary and at key points in the legislative process, we will take our advocacy efforts back to you and ACSA’s membership by sending “Action Alerts” asking you to either send a letter or make a phone call to your legislative representatives and/or policy or fiscal committee members advocating ACSA’s position on the legislation in question. It is important that you respond to “Action Alerts” as quickly as possible as legislation is quickly moving through the process, making most of these alerts time sensitive.

If you vertically compress the absolute value parent function, F(x) = |x|, by multiplying by 3/4, what is the equation of the new function?

A. G(x) = | 3/4 x |
B. G(x) = |x| - 3/4
C. G(x) = 3/4 |x|
D. G(x) = | x + 3/4 |

Answers

Answer:G(x) = 3/4 |x|, nevertheless that is the same that G(x) = |3/4x|.

Step-by-step explanation:

Note that given that 3/4 is less than 1 the original function is compressed.

- Take care <3

Can you please give me the answer you don’t have to solve all but please!!!!!!

Answers

Answer: Reduction: 1/3

Step-by-step explanation:

Remember that if you are dilating it to be larger, it will be a whole number. If it is less than one, then it is dilating to be smaller.

Answer: Reduction 1/3.

Step-by-step explanation: When a shape is transformed into a smaller version of the original, it's a reduction. Reductions are less than 1 so the answer I provided above is what you're looking for.

Have a great day! :)

The factors of the function are (x + 1), (x - 1) and (x-4). Which equation could describe the function?

Answers

The function having the factors (x+1), (x-1) and (x-4) is x³-4x²-x+4 = 0

What are factors?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

Factors can be found using either division or multiplication. Rules of divisibility can also be applied.

Given, the factors of a function are (x+1), (x-1) and (x-4)

We know that if the factors of a function are (x-a) and (y-b), it would mean that the function is (x-a)(y-b) = 0

Similarly, taking the above factors given in a function, the function would be:

(x+1)(x-1)(x-4)=0

⇒ (x²-1)(x-4)=0

⇒ x³-4x²-x+4 = 0

Hence, the function having the factors (x+1), (x-1) and (x-4) is x³-4x²-x+4 = 0

To know more about factors visit:

brainly.com/question/29128446

#SPJ1

the correlation between cost and distance is 0.791. describe the relationship between cost of damage and distance from the nearest fire station.

Answers

According to the question,

Given data,

The correlation between cost and distance is 0.791.

The farther the house is from a first station, the higher cost of damage tends to be.

the correlation between cost and distance

The largest single cost of liver transplantation is the cost of organ acquisition, with the variable portion of that amount being associated travel costs. We assessed the proportion of donors using ground, air, and jet transport and compared the transport costs of these three types of transport and their impact on organ procurement costs for transplant centers.

How is correlation measured?

The sample correlation coefficient r quantifies the strength of the relationship. Correlations are also tested for statistical significance.

To know more about correlation measured visit

https://brainly.com/question/22921782

#SPJ4

A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.


Determine the distance between the Trolley Train and the Silly Slide.

25 units
7 units
5 units
3 units

Answers

The distance between the Trolley Train and the Silly Slide is 5 units. The  3rd option is the answer

How to determine the distance between the Trolley Train and the Silly Slide?

From the map, the coordinate of the Trolley Train is (-2, -6) and the coordinate of the Silly Slide is (2, -3)

The formula for finding the distance between the two points is given as:

d=√(x₂ – x₁)² + (y₂ – y₁))²).

where

x₁ = -2,

y₁ = -6 (Trolley Train)

x₂ = 2

y₂ = -3 (Silly Slide)

d = √((2 – (-2))² + (-3 – (-6))²)

d = √((4)² + (3)²)

d = √25

d = 5 units

Learn more about the distance between two points on:

brainly.com/question/17704491

#SPJ1

Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left?

A three-twelfths pounds
B eleven-twelfths pounds
C one and two-twelfths pounds
D one and seven-twelfths pounds

Answers

Answer:

B

Step-by-step explanation:

[tex]7\frac{1}{2} - 3\frac{3}{4} - 2\frac{5}{6} \\= \frac{15}{2} - \frac{15}{4} - \frac{17}{6} \\(common denominate is 12)\\=\frac{90}{12} -\frac{45}{12} -\frac{34}{12} \\\\=\frac{11}{12}[/tex]

Your answer is B eleven twelfths pounds

james is painting an L- shaped piece of wood that is made up of two rectangular prisms
6 in
5 in
1 in
7 in
11 in
How many square inches does he need to paint?

Answers

Applying the surface area of a rectangular prism, the number of square inches hat will be painted is, 346 in.².

How to Find the Surface Area of a Rectangular Prism?

The surface area of a rectangular prism = 2(wl + hl + hw), where:

length - lwidth = wheight = h

The L-shaped piece of wood is composed of two rectangular prisms, therefore:

The square inches of paint needed = surface area of prism 1 + surface are of prism 2 - 2(area where both prism meet).

Prism 1 surface area:

l = 7 in.

w = 6 in.

h = 5 + 1 = 6 in.

Surface area = 2·(6·7+7·7+7·6) = 266 in.²

Prism 2 surface area:

l = 7 in.

w = 11 - 6 = 5 in.

h = 1 in.

Surface area = 2·(5·7+1·7+1·5) = 94 in.²

Area where both prism meet = (l)(w) = (7)(1) = 7 in.²

Number of square inches that needs to be painted = 266 + 94 - 2(7)

= 346 in.²

Learn more about rectangular prism on:

https://brainly.com/question/1015291

#SPJ1

Kaylee conducted a scientific experiment. For a certain time, the temperature of a
compound rose 1 degrees every of an hour. What was the rate, in degrees per
hour, that the temperature of the compound rose? Enter your answer as a whole
number, proper fraction, or mixed number in simplest form.

Answers

The rate was the temperature increased by 1 degree for every 1 hour that passed.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Kaylee carried out a scientific experiment. For a period of time, the temperature of a compound grew by one degree per hour.

The rate at which the temperature of the compound rose is 1 degree per hour. This means that for every hour that passed, the temperature of the compound increased by 1 degree.

The units for the rate are degrees per hour, which means that the temperature increased by 1 degree for every 1 hour that passed.

To learn more about the rate click here :

brainly.com/question/12786410

#SPJ1

make g the subject of 3e+4g=7+9eg

Answers

Answer:

the answer is g = (7 - 3e) / (4 - 9e)

Step-by-step explanation:

The subject of an equation is the value or values being solved for. An equation typically consists of two parts: an expression on the left side of an equal sign and an expression on the right side of the equal sign.

The given equation subject of equation is 3e + 4g = 7 + 9eg

Subtraction of 9eg from both sides of the equation

3e + 4g - 9eg = 7 + 9eg - 9eg

3e + 4g - 9eg = 7

Subtract 3e on both sides of the equation

3e + 4g - 9eg - 3e = 7 - 3e

4g - 9eg = 7 - 3e

Factorize g on left side of the equation,

g (4 - 9e) = 7 - 3e

Then divide (4 - 9e) on both sides of the equation,

g = (7 - 3e) / (4 - 9e)

To learn more about equation refer to:

https://brainly.com/question/22688504

#SPJ1

Help me aspp please before 11:59 pm

Answers

(5,0) and (0,10)
(0,10) is the y intercept

There are 30 students in Mrs. Woodward's class and 1/5 of the class has their own cell phone. Of the students that have cell phones, 1/2 of them are allowed to use social media. How many of the students have a cell phone and can use social media?

Answers

Answer: 3 people

Step-by-step explanation:

1/5 of 30 will give us the number of students.

6

1/2 of 6, will give us the number of people who can use social media.

3 people.

Which expressions are equivalent to
[tex] {5}^{18} [/tex]
select all that apply




Answers

Answer:

B and C

Step-by-step explanation:

(5⁷)¹¹ = 5⁷⁷

5⁹ × 5² = 5¹¹

Answer:

[tex] {5}^{12} \times {5}^{6} and \: \frac{ {5}^{24} }{ {5}^{6} } \\ option \: b \: and \: c[/tex]

Step-by-step explanation:

[tex] {a}^{b} \times {a}^{c} = {a}^{(b + c)} \\ \frac{ {a}^{b} }{ {a}^{c} } = {a}^{(b - c)} [/tex]

[tex] {5}^{12} \times {5}^{6} = {5}^{(12 + 6} = {5}^{18} \\ \frac{ {5}^{24} }{ {5}^{6} } = {5}^{(24 - 6)} = {5}^{18} [/tex]

Solve
e + 0.05 = 9.21

Answers

Answer: e = 9.16

Step-by-step explanation: Although it's not necessary, I would first get rid of the decimals by multiplying both sides of the equation by 100.

That gives is 100e + 5 = 921 which has no decimals.

Now just subtract 5 from each side to get 100e = 916 and

dividing both sides by 100 from here, e = 9.16.


Sometimes business partners do not share the ownership of a
business equally. Instead, they own a percentage of the
business, and each receives that percent of the profits.
Alvarez, Brown, and Chow are partners in a business that
earned $500,000. Alvarez owns 40% of the business. Chow
received $175,000. How much money did Alvarez make?

Answers

Alvarez received $200,000 which is 40% of the profit.

Define percentage.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it. Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

Given

Profit $500000

Alvarez owns 40% of the business.

Percentage

500000 × 40%

200000

Alvarez received $200,000 which is 40% of the profit.

To learn more about percentage, visit:

https://brainly.com/question/28269290

#SPJ1

in 12 years a man will be twice as old as he was 12 years ago . find his present age

Answers

His present age is 36 years.

Let his present age = x

Given,

2(x − 12) = x +12

2x - 24 = x + 12

2x - x =  12 + 24

x = 36

Therefore, his present age is 36 years.

To know more about the Calculation of ages, please refer to the link below:

brainly.com/question/24338087

the bakery department at ralphs wants to make 3 loaves of banana bread but the recipe only makes 1 loaf

Banana bread recipe -
1 loaf

1/2 cup butter
3/4 cup brown sugar
2 eggs
2 1/4 cups flour
1 teaspoon baking soda
1/4 teaspoon salt
3 ripe bananas

How much of each ingredient will the bakery department need in order to make 3 banana bread Loaves?

Answers

The ingredient will the bakery department need in order to make 3 banana bread Loaves is 3/2 cup butter, 9/4 cup brown sugar, 6 eggs, 27/4 cups flour, 3 teaspoon baking soda, 3/4 teaspoon salt, and 9 ripe bananas.

What is multiplication?

The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.

Given:

The ingredient for the 1 loaf of bread,

Butter = 1/2 cups,

Brown sugar = 3/4 cups,

Eggs = 2,

Flour = 2 1/4 cups,

Baking soda = 1 teaspoon,

Salt = 1 / 4 teaspoon,

Ripe bananas = 3

To make 3 banana bread loaves, we have to multiply the ingredient by 3,

Thus, the ingredients for 3 3 banana bread loaves will be,

Butter = 1/2 × 3 = 3/2 cups

Brown sugar = 3/4 × 3 = 9/4 cups,

Eggs = 2 × 3 = 6,

Flour = 2 1/4 = 9 / 4 × 3 = 27 / 4 cups,

Baking soda = 1 × 3 = 3 teaspoons,

Salt = 1 / 4 × 3 = 3 / 4 teaspoons,

Ripe bananas = 3 × 3 = 9

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ1

in a poll, respondents were asked whether they were planning to vote in the local election. 315 respondents indicated that they were planning to vote and 217 said that they were not. what is the probability that the next respondent questioned will indicate that they are planning to vote?

Answers

The probability that the next respondent questioned would say they plan to vote is 0.59.

What is probability?

The ratio of the number of favorable outcomes to the total number of outcomes of an event is defined as probability.

We know that the probability of an occurrence =the number of favorable outcomes divided by the total number of events.

Given that, 315 respondents stated they planned to vote, while 217 said they did not.

Now, the probability of voting is:

P(voting)=315(315+217)

= 315/532

= 0.59

As a result, the likelihood that the next respondent questioned would say they plan to vote is 0.59.

The probability that the next respondent questioned would say they plan to vote is 0.59.

To learn more about the Probability, go to:

brainly.com/question/11234923.

#SPJ4

What is the volume of the following rectangular prism?

Answers

Answer:

Below

Step-by-step explanation:

The volume will be the end AREA X Length

7 1/3 units^2  X  2 units =  14 2/3 units^3

Solve the inequality.

$-12

Answers

This answer is 33$. Yeahhhhhh

In a school Auditorium, there are three types of rows arrangement
possible for watching programs: rows of 20 students per row, or rows
of 25 students ver row, or rows of 40 students per row. Find the least
number of students required for any one of these arrangements so
that all the students can be accommodated in each of these
arrangements.

Answers

I think

it should be 200 as it's the first common multiple of 20 40 and 25

12.10p +5.25
11.75p+7.50

Is this no solution

Answers

Answer:

I can't see a solution from what you have given us

Consider the function
What is
f(x) = -2/3x + 5.
ƒ ( − 1/2 )
?

Answers

Answer:

Step-by-step explanation:

0

Answer:

f(1/2) = 5 1/3

Step-by-step explanation

All you need to do is replace each x in the function with -1/2, and you have your answer!

Hope this helps :)

Chang and Carlotta solve this problem in two different ways.
You have $50 in your bank account.
You make $8 per hour mowing lawns.
How many hours must you mow lawns to have a total of $130 in your account?
Use the drop-down menus to complete the sentences below.

Answers

What are variables ?

There are certain things in real life that never change, like your birthday. However, other factors, such as temperature, age, height, etc., change with place and time. These amounts might be referred to as variables because they are changeable.

A symbol (often a letter) used in mathematics to represent an unknowable numerical value in an equation or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.

Typically, "x" and "y" are used to denote unknowable integers. However, it is not required; any letter will do.

If I have $50 in my bank account and i have to make it $130 by mowing a lawn that means i need to earn on $80 by mowing the lawn

($130 - $50 =$80)  

I can earn $8 per hour by mowing the lawn which means in only need to work for 10 hours to earn $80  ($8 per hour x 10 hours= $80 )

Chang and Carlotta method use different operations to simplify the expression in same order

Chang's method uses variable but Carlotta doesn't

Learn more about Variable from the link below

https://brainly.com/question/17344045

#SPJ1

at a certain gas station, 35% of the customers use regular unleaded gas, 35% use extra unleaded gas, and the remainder use premium unleaded gas. of those using regular gas, only 50% fill their tanks. of those customers using extra unleaded, 30% fill their tanks, whereas of those using premium unleaded, 30% fill their tanks. if the next customer fills the tank, what is the probability that extra unleaded gas was requested? (give your answer in percentage terms with one decimal point of precision.)

Answers

The probability that extra unleaded gas was requested is 35%.

To find the probability that the next customer requested extra unleaded gas, we need to first find the total probability that any customer requests extra unleaded gas.

Since 35% of customers request extra unleaded gas, the probability that a customer requests it is 35%. Of those customers, 30% fill their tanks, so the probability that a customer requesting extra unleaded gas fills their tank is 30%.

Therefore, the probability that a customer requesting extra unleaded gas fills their tank is (35%) * (30%) = 0.105, or about 10.5%.

This is the probability that the next customer requested extra unleaded gas and fills their tank. To find the probability that the next customer simply requested extra unleaded gas, regardless of whether they fill their tank or not, we need to add the probabilities of them requesting extra unleaded gas and either filling or not filling their tank.

The probability that the next customer requested extra unleaded gas and filled their tank is 0.105, as we calculated above. The probability that the next customer requested extra unleaded gas and did not fill their tank is (35%) * (70%) = 0.245, or about 24.5%.

To find the total probability that the next customer requested extra unleaded gas, we need to add these two probabilities: 0.105 + 0.245 = 0.35, or 35%. This is the probability that the next customer requested extra unleaded gas.

To learn more about probability,

visit; brainly.com/question/29381779

#SPJ4

Match each theorem with its description.

Answers

(3) Isosceles triangle Theorem

(8) Same side Interior angle Theorem

(2) Triangle sum Theorem

(1) Vertical angle Theorem

(7) Alternate exterior angle Theorem

(5)Corresponding angle Postulate

(6)Alternate exterior angle Theorem

(4) Triangle midsegment Theorem

What is isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Isosceles triangle Theorem: A triangle's opposite angles are also congruent if its two sides are.

Same side Interior angle Theorem:

The same side interior angles are additional when two parallel lines are cut by a transversal.

Triangle sum Theorem:

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

Vertical angle Theorem:

When two straight lines collide, two sets of linear pairs with identical angles are created.

Alternate exterior angle Theorem:

The alternate interior angles or alternate exterior angles that emerge from cutting two parallel lines by a transversal are congruent.

Corresponding angle Postulate:

The related angles are equivalent if a transversal cuts two parallel lines.

Alternate exterior angle Theorem:

The alternate interior angles or alternate exterior angles that emerge from cutting two parallel lines by a transversal are congruent.

Triangle midsegment Theorem:

The section connecting a triangle's two sides at their midpoints is parallel to and only half as long as the third side.

To learn more about theorem and postulate, click on below link:

https://brainly.com/question/26142429

#SPJ1

Other Questions
(A TEST I NEED IT ASAP)1. Use each digit from 1 to 5 once to make the following equation true. / = 3 /62. The sum of three mixed numbers is 8 2/5. The difference between the first number and second number is 1. The difference between the first number and third number is 2. What is the least number? 3. Tori plays the tuba. She plays for 4 1/2 measures, rests for 8 3/8 measures, plays for another 16 measures, rests for 2 1/4 measures, and plays for the rest of a 36-measure song. How long was the last section that she played? The door of the jail being flung open from within, there appeared, in the first place, like a black shadow emerging into sunshine, the grim and grisly presence of the town-beadle, with a sword by his side and his staff of office in his hand.Which best describes the purpose of the words black shadow, grim, grisly, and sword? in pythonThe program is the same as shown at the end of the Merge sort section, with the following changes:Numbers are entered by a user in a separate helper function, read_nums(), instead of defining a specific list.Output of the list has been moved to the function print_nums().An output has been added to merge_sort(), showing the indices that will be passed to the recursive function calls.Add code to the merge sort algorithm to count the number of comparisons performed.Add code at the end of the program that outputs "comparisons: " followed by the number of comparisons performed (Ex: "comparisons: 12")Hint: Use a global variable to count the comparisons.Note: Take special care to look at the output of each test to better understand the merge sort algorithm.Ex: When the input is:3 2 1 5 9 8the output is:unsorted: 3 2 1 5 9 80 2 | 3 50 1 | 2 20 0 | 1 13 4 | 5 53 3 | 4 4sorted: 1 2 3 5 8 9comparisons: 8main.py# Read integers into a list and return the list.def read_nums():nums = input().split()return [int(num) for num in nums]# Output the content of a list, separated by spaces.def print_nums(numbers):for num in numbers:print (num, end=' ')print()def merge(numbers, i, j, k):merged_size = k - i + 1merged_numbers = []for l in range(merged_size):merged_numbers.append(0)merge_pos = 0left_pos = iright_pos = j + 1while left_pos Who was not a member of the committee chosen to write the Declaration of Independence? An RN is working on the surgical unit when a client who has abdominal pain is admitted. Which of the following activities must be performed by the RN?A. Obtaining an UA from the client.B. Completing the client's initial admission assessment.C. Administering PO pain meds to the client. D. Assembling the client's medical record. Which approach should the dental assistant usewhen exposing radiographic images on youngchildren? Griots combine dance with ballet movements a scene from a musical musical storytelling step-by-step instructions when considering databases to be used in research activities probably the best time to start considering gis database design issues would be question 5 options: during the data analysis phase of the project during the development of the research study plan just in time to derive colorful maps such design isn't really necessary after the data collection phase You are working as a research assistant and the four bottles of the solutions needed for the experiment have no labels. The solutions are glucose, hexane, potassium iodide (KI) and ethanol. Using your understanding of physical and chemical properties, chemical reactions and macromolecules composition, design an experiment to determine the identity of the solution found in each bottle. Can someone please help me with this calculation? It's a bit confusing for me.You are calculating the average speed, velocity, and acceleration of a toy car. I'm not sure what the speed of the toy car was or the acceleration. I only have the times of the meters. first meter: 2.00, second meter: 4.00, third meter: 6.20, fourth meter: 8.01, fifth meter: 10:13, sixth meter: 12:13, seventh meter: 14:13, eighth meter: 16:14, ninth meter 18:18 and tenth meter: 20:00.Answer the following questions.Did the car travel at a constant speed? (Hint: you must calculate the speed at every meter)What was the average speed of the car?Describe the overall motion of the car.What are some practical applications for determining the motion of an object? A mi abuela _____ _____________ los duraznos. (gustar) maria is selling chips and candy bars. each box of chips has 20 bags for $13.80 and the candy bars is $6.60 for a box of 12 bars. if maria only has $100 to spend, write an inequality that represents the possible number of boxes of chips (x) and boxes of candy bars (y) maria could buy. true or false : It's difficult to determine the source of variation in humans because parents and offspring can share traits because of shared genes, shared environment, or shared culture. Don has been on the job only a few days. He still has a lot to learn but pays close attention whenever his job coach gives him tips. The best style for the job coach to use is ________.A) tellingB) sellingC) participatingD) delegating kaylee, a real estate sales manager at crawford corp., sends all her subordinates a memo that explains the importance of real estate. in this case, kaylee is engaged in . Helpp!! GIVING BRAINIEST how do automatic stabilizers respond when output is above potential output? government spending falls and tax payments rise to help keep the economic expansion in check. rises and tax payments fall to help move the economy out of recession. rises and tax payments fall to help keep the economic expansion in check. falls and tax payments rise to help move the economy out of recession. ___________ reduced the grand aspirations of religion to mere illusions but, even worse, the illusions of an insecure child who had never properly grown up There are many products being sold on television and online purported to be beneficial to a persons health. But are they really beneficial? Has anyone verified the claims? And do the benefits justify the cost? Is the product only one that a wealthy person could afford, or is it something that anyone can get? Conduct some research to find two health products for sale. In two to three paragraphs, introduce the items you found, the claims made about them, the cost, and any reviews you might see. Then, discuss whether you believe these products are truly beneficial to a persons health, giving reasons behind your opinion. 5. A solid consists of a mixture of NaNO3 and Mg(NO3)2. When 6.50 g of the solid is dissolved in 50.0 g of water, the freezing point of the solution is lowered by 5.23C. What is the composition by mass of the solid mixture?