What is the opposite 27?

Answers

Answer 1

The opposite of number 27 is -27

We know that the opposite of a number is nothing but the number which is at the same distance from 0 but in the opposite direction on a number line.

Here we have been givena number 27

Let a number 'p' be the opposite of number 27

If we plot 27 on the number line then we can observe that it is  located to the right of 0 on the number line.

So, from the definition of opposite of a number p would be at the same distance from 0  i.e., 27 units but in the opposite direction on a number line.

so, the number p would be -27

Therefore, -27 is opposite of 27

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What Is The Opposite 27?

Related Questions

Solve the following equation by first writing the equation in the form a x squared = c: t squared minus 49 = 0 a. t = 49 b. t = plus-or-minus 49 c. t = 7 d. t = plus-or-minus 7 Please select the best answer from the choices provided A B C D

Answers

The best answer is t = 7. Option C

What is a quadratic equation?

A quadratic equation is simply defined as an equation that could be rearranged in standard form.

It is also described as an algebraic equation having the highest exponent of as 2.

It is so arranged such that;

x represents an unknown valueVariables, a, b, and c represent known numbersAlso, a is not equal to 0, a ≠ 0

It is important to note that the three methods of solving quadratic equation are;

FactorizationUsing the quadratic formulaUsing completing the square method

From the information given, we have that the form is;

x² = c

Given  t squared minus 49 = 0

First, represent mathematically

t² - 49 = 0

Now, collect like terms, we have;

t² = 49

Take square root of both sides

t = √49

t = 7

Hence, the equation is  t = 7

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A triangle has sides with lengths of 12 feet, 16 feet, and 18 feet. Is it a right triangle?

Answers

Answer:

Step-by-step explanation: If the sides are a,b,c (in ascending order) and c squared = the sum of the squares of a and b, then it's a right triangle.

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Right triangle fulfill the pythagorean theorem:

[tex]a^2+ b^2 = c^2[/tex]

Where, c is the hypothenuse or the longest side, and b and a are the remaining two sides.

[tex]12^{2} = 144\\16^2 = 256\\256 + 144 = 400\\\sqrt {400} = 20 \neq 18[/tex]

45 PTS (find:m<3) don’t explain.

Answers

Answer:

142

Step-by-step explanation:

38+x = 180

x = 142

Answer

Step-by-step explanation:

Hey, there!

Let's simply solve it.

As there is given that L and M are parallel. Use all

the condition or properties of parallel lines.

Here use:

vertically opposite angle.

coointerior angles sum is 180°.

Now,

angle 6= 38° { Vertically opposite angle}. angle 6+ angle 5 = 180° { as sum of coointerior angles are equal to 180°}

38°+angle 5 = 180° or, angke 5 = 180°-38°

Therefore, angle 5 = 142°

Now, angle 3 = angle 5 { Vertically opposite angle} Therefore, the measure of angle 3 is 142°. hope it helps...

Kara Paid 24.64$ to ship 11 packages. Each package has the same size and weight. How much did it cost to ship 1 package?

Answers

Answer:

2.24$

Step-by-step explanation:

Where is quadrant 4?

Answers

The fourth quadrant, often known as Quadrant IV, is the bottom right quadrant. The x-axis in this quadrant is positive, whereas the y-axis is negative.

Two-dimensional Cartesian axes separate the plane into four infinite areas known as quadrants, each of which is bordered by two half-axes. These are frequently numbered 1 through 4.

90° arc; one-fourth of a circle. the region enclosed by such an arc and two sketched radii, one at each extreme. a component of a machine that has a quarter-circle form.

The x- and y-coordinates are both positive in quadrant I.

The x-coordinate is negative and the y-coordinate is positive in quadrant II.

The x- and y-coordinates are positive in quadrant III.

Quadrant IV: The x-coordinate is positive and the y-coordinate is negative.

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Question 1 Use right triangle XYZ to complete the following parts. Question What is the length of XY in AXYZ? Type the correct answer in the box. Use numerals instead of words. XY = units​

Answers

XY = 6 units  is the length of XY in AXYZ .

What is a right-angle triangle, exactly?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees.

                         Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

using the sine ratio in the right triangle and the exact value

  sin30° = 1/2, then

    sin30° = XY/XZ = XY/12 =  1/2  ( cross - multiply)

     2XY = 12  ( divide both sides by 2 )

        XY = 6

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The complete question is -

Use right triangle XYZ to complete the following parts.

Part A

12

XY =

30°

? Question

What is the length of XY in AXYZ?

Type the correct answer in the box. Use numerals instead of words.

units

                 

The drama club put on the play, “The wizard of Oz.” There were student tickets and adult tickets. There were 150 tickets sold to the play. Student tickets cost $3 per ticket, and adult tickets cost $5 per ticket. If the total sales were $580, how many student tickets and how many adult tickets were sold to the play? Use system of equations to solve.

Answers

On solving the provided question, we can say that - by the help of the unitary method 150* 3 = $450

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

so, we have

There were  = 150 tickets sold to the play

Student tickets cost $3 per ticket

so, total will be = 150* 3 = $450

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What is the angle of turn clockwise from South East to North?

N

A 45°

B 135°

C 225°

D 315°

Answers

The angle of a turn clockwise from South East to North is Option B 135°.

When determining the angle of turn, it is important to consider the direction of rotation (in this case, clockwise) and the starting and ending points (in this case, South East to North).

If we imagine the compass as a clock, with North at the 12 o'clock position, South at the 6 o'clock position, East at the 3 o'clock position, and West at the 9 o'clock position. Then South East would be at the 4:30 position and the North would be at the 12 o'clock position. To rotate from 4:30 (South East) to 12 o'clock (North) in a clockwise direction, we would have to rotate 135 degrees. Thus, the angle of a turn clockwise from South East to North is 135 degrees.

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Approximately how many plant made pharmaceuticals are currently under different stages of discovery?
a. 100
b. 200
c. 300
d. 400
please select the best answer from the choices provided a b c d

Answers

Approximately 300 plants are made pharmaceuticals currently under different stages of discovery.

Why do you use the term pharmaceutical?

pharmaceutical, material used for repairing, changing, or treating organic processes as well as for illness diagnosis, treatment, or prevention. Pharma (Bachelor of Pharmacy): Course, Qualifications, Admission, Syllabus, Pay, and Scope.

What function do drugs serve?

Drugs are created, produced, and distributed by the pharmaceutical business. Its goal is not to define sickness. Drug manufacturers typically focus on ailments that have already been identified by the medical community.

                          The positive side effects of medications, such as those that lower blood pressure, treat infections, or reduce pain, are considered their advantages. The possibility that anything unfavorable or unexpected will occur to you as a result of using a medication is what we mean by "risks."

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A 2 3/4inch candle burns down in 11 hours. At what rate does the candle A burn, in inches per hour?

Answers

Answer:

0.25 in/h

Step-by-step explanation:

1. change 2 3/4 t0 2.75

2. 2.75/11= 0.25

The minimum value of G in G ( x ) = 3 tan x is

Answers

The function G(x) = 3 tan(x) does not have a minimum value.

What are the relative extremas of a function?

The relative extremas of a function are the values of x for which the derivative of the function assumes a value of zero.

The extremas are classified as local minimum or local maximum, as follows:

Local minimum: the function changes from decreasing to increasing.Local maximum: the function changes from increasing to decreasing.

The tangent function does not have a local minimum, as it is increasing over it's entire domain.

The function G(x) = 3 tan(x) is a vertical stretch by a factor of 3 of the tangent function, which changes only the range, thus the function continues without a local minimum.

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2. Gravetter/Wallnau/Forzano, Essentials - Chapter 4 - End-of-chapter question 2

What is the range for the following set of scores? (You may have more than one answer. )

6, 12, 9, 17, 11, 4, 14

Answers

The range for the following set of scores: 6, 12, 9, 17, 11, 4, and 14 is 13.

In statistics, the range is a measure of dispersion that describes the difference between the largest and smallest values in a dataset. The range is used to describe the spread of a dataset and can be a simple way to identify outliers or unusually large or small values. It is a simple measure of statistical dispersion and is most useful for interval and ratio data.

It is calculated by subtracting the minimum value from the maximum value among the data set.

range = maximum value - minimum value

Plug in the necessary values and solve for the range.

range = 17 - 4

range = 13

Therefore, the range for the following set of scores is 13.

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What happens if you log a log?

Answers

The guidelines apply to logarithms of any base anyway a comparable base ought to be used all through a calculation. This guideline tells us how to add two logarithms together. Adding log An and log B achieves the logarithm of the consequence of An and B, that is log Stomach muscle.

As demonstrated by the norm of logs, a log of a base with similar bases will drop and will leave simply the power. Logarithms are models, and when you increment, you will add the logarithms. The log of a thing is the number of logs.

In case you have comparable systems on the different sides of a circumstance, they offset each other! Recollect that this conceivably works when the logarithms on the different sides of the circumstance have a comparable base.

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Please hurry its timed

Answers

The best option regarding the solutions of the trigonometric equation 2sin(θ) + 1 = 0 in this problem is given as follows:

d. θ = 330º + 360ºn, θ = 210 + 360ºn.

How to solve the trigonometric equation?

The trigonometric equation for this problem is defined as follows:

2sin(θ) + 1 = 0

Then, isolating the sine, we have that:

2sin(θ) = -1

sin(θ) = -1/2.

The values of theta for which the sine is of negative 1/2 are given as follows:

θ = 210º, θ = 330º.

(as the sine is negative for the third and fourth quadrant, hence we have to find the equivalent angle to 30º in each of these quadrants).

One entire lap over the unit circle is equivalent to 360º, hence adding 360º n times to any of these solutions is also a solution to the trigonometric equation, meaning that option d is correct.

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If you take a number of times by four then subtract one you get the same is it you took the number standby shift then organise what is the number

Answers

The unknown number deduced by solving the equation 4x - 1 = 6x +9 is -5.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Let the unknown number be x.

First multiply the number by 4 = 4x

Then subtract 1 from it = 4x -1

This results in the same number as when the number is multiplied by 6 and 9 is added to it = 6x + 9.

So the equation will be -

4x - 1 = 6x +9

4x - 6x = 9 + 1

-2x = 10

-x = 10/2

x = -5

Therefore, the number obtained is -5.

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If you take a number, times by 4 then subtract 1. You get the same as if you took the number, times by 6 then add 9. What is the number?

•40 POINTS• don’t explain.

Answers

Answer:

ASA

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

We can see two angles marked as same, one of them is a right angle.

The included vertical side is common to both triangles so is a congruent side.

Since we have congruence of two angles and the included side, it is Angle-Side-Angle or ASA.

The scale on a map of Florida is 2 inches = 50 miles. What is the distance in miles
represented by a length on the map of 7 inches?

Answers

The distance in miles represented by a length on the map of 7 inches is 0.28

What is scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

Given;

The scale of a map says that 2 inches represents 50 miles.

2 inches = 50 miles

1 Mile = 2/50 inches

Hence, 7 Mile = 7 * 2/50 inches

7 Mile = 14/50 inches

7 Mile = 0.28 inches

Therefore, the scale factor of 7miles in the map will be 0.28inches

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On a number line, suppose point E has a coordinate of -3 and EG=4. What are the possible coordinates of point G?

Answers

Answer:

[tex]-1\frac{1}{3}[/tex]

Step-by-step explanation:

We can approach this equation algebraically. Since we know E = -3, we can substitute it into our Second equation, giving us:

-3G = 4

Divide both sides by 3 gives us :

G = [tex]-\frac{4}{3}[/tex]  =  [tex]-1\frac{1}{3}[/tex]

So, the possible coordinate of G is [tex]-1\frac{1}{3}[/tex].

Hope this helped!

Can you solve this problem for me please

Answers

The required scale factor that Amir will use to go from Polygon F to G is 1/9.

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

here,
Area of polygon F = 36 square units
Area of polygon G = 4 square units

Now,
The scale factor to go from polygon F to polygon G is given as,
SF = Area of polygon G / Area of polygon F
SF= 4/36
SF = 1/9

Thus, the required scale factor that Amir will use to go from F to G is 1/9.

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What does it mean to translate coordinates?

Answers

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Now, According to the question:

What does translation of coordinates mean?

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Transformations of Graphs

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically.

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Your friend wants to mark her favorite campsite on the map. She knows that the campsite is 65 miles north of her town. What distance on the map (in inches) represents an actual distance of 65 miles?
inches

Answers

Answer:

Step-by-step explain

We know that the campsite is 65 miles north of her town.

There are 63,360 inches in a mile

so, if you multiply it would look like

63,360 x 65 = 4,118,400

so, your answer would be 4,118,400 inches

dont mind that i clicked on one lol but SOMONE PLEASE HELP RAHHAHAHAH​

Answers

Here are the expressions that are equivalent to - 15 + 6x

What is an equivalent expression?

Expressions that are the same even if they may appear slightly different are called equivalent expressions. When you simplify equivalent expressions, they will all return the same value if you plug in the same variable value.

3(5 - 2x)

6x + (- 15)

15 + (- 6x)

The first one, -3(5-2x), can be simplified as -35+32x = -15 + 6x

The second one 6x + (- 15) is already in the same form as - 15 + 6x

The third one 15 + (- 6x) is just - 15 + 6x when you change the sign of -6x

The other expressions are not equivalent as they are not equal to - 15 + 6x

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What is the sign of 4.3•(-3.2)•0?

Answers

Answer:

no sign (not positive or negative)

Step-by-step explanation:

The value of the expression

4.3 ⋅ (-3.2) ⋅ 0

is 0, as the value of any number multiplied by zero is 0.

The number zero is neither positive or negative; hence there is no sign.

2 1/3 grams of spice A was mixed with 4 1/7 grams of spice B. The ratio of spice A to spice B is 1:

Answers

The ratio of spice A to spice B is : 49/87

Here, 2 1/3 grams of spice A was mixed with 4 1/7 grams of spice B.

First we convert the improper fraction into a proper fraction.

For improper fraction2 1/3,

2 1/3

= (2 × 3)/3 + 1/3

= 6/3 + 1/3

= (6 + 1)/3

= 7/3 which is a proper fraction.

and for 4 1/7

= (4 × 7)/7 + 1/7

= 28/7 + 1/7

= (28 + 1)/7

= 29/7

The ratio of spice A to spice B would be,

(2 1/3) / (4 1/7 )

= (7/3) / (29/7)

= (7/3) × (7/29)

= (7 × 7)/(3 × 29)

= 49/87

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At an archeological site, the remains of two ancient step pyramids are congruent . If ABCD cong EFGH find each of the following . (Diagrams are to scale. )

Answers

The measurements are found using congruency.

What does congruency mean?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

It is given that ABCD ≅ EFGH :

According to congruency,

22. AD = EH, so AD = 335 ft.

23. GH= CD, so GH = 45ft.

24. m∠GHE = m∠CDA, so m∠GHE= 52°

25. m∠BAD= m∠FEH, so m∠BAD= 52°

26. EF= AB, so EF= 45ft

27. BC= FG, so BC= 280ft

28. m∠DCB= m∠HGF, so m∠DCB= 128°

29. m∠EFG= m∠ABC, so m∠EFG= 128°

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Solve by factorising:
x^2+10x+21=0

Answers

Answer:

[tex]x = -7\\x = -3[/tex]

Step-by-step explanation:

The steps are in the image attached to this response.

The equation for this is ax^2+bx+ c. You get the answer by finding factors of A and C; multiply them to each other so example after you find a factors of A which would be D and E, and B which would be F and G; multiply D with F and E with G. After that see if the two answers you got add or subtract to get the same number as B. Find both of the factors like for this example the best factors to use for A well is 1•1 because thats the only factor possible and for C the best factor is 3•7 because since there both just multiply by one if you add them together you get 10. After you do all that this is the formula (Dx+/-G)(Ex+/-F) plug all the numbers in and then you get the answer (1x+7)(1x+3) more formal way:(x+7)(x+3)

P.S if you want to check its right make it back into a quadratic equation: (D•E)(D•F)+(G•E)+(G•F)=ax^2+bx+c

PLEASE SOMEONE HELPPPPP

Simplify (36)18
O a
Ob
Oc
Od
33
312
324
3108

Answers

Answer:

d. 3^108

Step-by-step explanation:

Just multiply 6 and 18.

How can I do math fast?

Answers

To do Maths fast follow the steps:

Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.What is Maths ?

Mathematical subjects include quantities and their changes, forms and the spaces in which they are contained, formulae and associated structures, and numbers.

The scientific study of numbers, forms, and their meanings is known as mathematics. The majority of individuals use maths every day to measure and count. Geometry, algebra, and calculus are all forms of mathematics; nonetheless, they are typically referred to as single.

There are many ways to solve math problems, but a three-step technique is a streamlined approach that may assist anybody in solving even the most challenging issue.

Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.

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How do you find the domain and range of a graph in Algebra 2?

Answers

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Now, According to the question:

How do you find the domain?

Let y = f(x) be a function with an independent variable x and a dependent variable y. If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

How do you find the range?

The range is calculated by subtracting the lowest value from the highest value.

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Find volume of cylinder


I really need an answer for this FAST so if anybody can answer id really appreciate it :)

Answers

The volume of the cylinder on the image is:

v = 36,424 in³

So the correct option is the second one.

What is the volume of the cylinder?

We know that for a cylinder of diameter D and height H, the volume is given by the formula:

V = pi*(D/2)²*H

Where pi = 3.14

Here we know that:

D = 40 inches.

H = 29 inches.

Replacing that in the formula for the volume we will get:

V = 3.14*(40 in/2)²*29 in = 36,424 in³

So the correct option is the second one.

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The equation y=2. 5x+222. 5 models the amount of cholesterol, LDL , for a person, in mg/dl , where x is the time spent exercising per day, in minutes. According to the regression equation, what is the amount of cholesterol for a person exercising 20 minutes a day?61. 5 mg/dl81. 5 mg/dl172. 5 mg/dl272. 5. 5 mg/dl How will you justify presence of 18 elements in 5th period and presence of 32 elements in 6th period? PLEASE HELPFind the value of x-1011-68 What does the Chorus Leader assume to be the reason for Antigone`s decision to go against her king? 25 Points! Hurry! Please help! I provided a screenshot of my question. Thank you! b) Express of 8000 cm of milk as a percentage of 16 litres of milk The assignment is to write a fictitious letter to your 1900s congressman about what you want the government to do with respect to the practices in the meatpacking industry. Make your arguments wisely. Begin with the strongest argument and remember to address the other side's position and your response. Your thesis statement should be strong and forcefully state your position. Congressmen have little time so make sure to make every word count Daily Reading: Theme Week IList an example from the text that shows how the theme develops in the passage. A personality test asks the question, "Do you enjoy warm, cozy nights by yourself,curled up with a good book?" Is this an example of a leading question? What is an example of direct characterization in Of Mice and Men? Refer to Figure 6-18. The per-unit burden of the tax on sellers isa. $6.b.8c.10d. $14 what point is swift makihng in a modest proposel by discounting other people and more humane solutions Murphy Manufacturing estimated total manufacturing overhead for the year to be $100,000 and that 5,000 direct-labor hours would be used. Actual overhead was $120,000 and actual direct labor-hours were 7,500. The overhead applied to a job completed during the year that used 200 direct labor-hours was ______. Multiple choice question. $4,800 $4,000 $100,000 $3,200 What mass of silver chloride can be prepared by the reaction of 170.0 mL of 0.23 M silver nitrate with 200.0 mL of 0.18 M calcium chloride Does a picture mean a thousand words why? ASAP PLEASE WILL GIVE BRAINLIEST Which human occupied (HOV) submersible operated for more than 50 years enables dives to depths reaching 2.8 miles and dives lasting up to ten hours Code to be written in python: Correct answer will get brainliest :) Mr Wu has been going to work every day by taxi for many years. However, the taxi fare has been increasing rather quickly in recent years. Therefore, he is considering driving to work instead. One of the costs for driving is the parking fee. The parking rates of the car park at Mr Wu's workplace are as shown as below:Weekdays: $2 per hour between 4am and 7am $1.20 per half hour between 7am and 6pm $5 per entry after 6pmSaturdays: $2.50 per hour between 4am and 7am $1.50 per half hour between 7am and 6pm $7 per entry after 6pmSunday: Flat rate of $5 per entryFor all days, there is a grace period of 10 minutes.The car park opens between 4am and 12 midnight daily. We assume vehicles are magically ejected at midnight.There is a 10% surcharge on weekdays and a 20% surcharge on Saturdays for vehicles who park for more than 10 hours. There are no surcharges on Sunday.There is an additional fee of $3 for exiting after 10pm on any day.Your task is to write a function compute_fee(day, time_in, time_out) that computes the parking fee, where day is an integer between 1 and 7, with 7 representing Sunday, while time_in and time_out are integer values in a 24-hour format - e.g. 700 for 7am and 2359 for 11:59pm. Assume all input is valid.Below are a few examples of how the fee is calculated:Example 1: Tuesday, 4:29am to 7:50am. 4:29am to 7am is charged as 3 1-hour slots: $2.00 * 3 = $6.00 7am to 7:50am is charged as 2 30-minute slots: $1.20 * 2 = $2.40 Total fee = $6.00 + $2.40 = $8.40Example 2: Saturday, 7:01am to 7:49pm. 7:01am to 6pm is charged as 22 30-minute slots: $1.50 * 22 = $33.00 6pm to 7:49pm is charged as one entry: $7.00 20% Surcharge for parking more than 10 hours: ($33.00 + $7.00) * 20% = $8.00 Total fee = $33.00 + $7.00 + $8.00 = $48.00Example 3: Sunday, 3pm to 10:01pm. 3pm to 10:01pm is charged as one entry: $5.00 Additional fee for exiting after 10pm: $3.00 Total fee = $5.00 + $3.00 = $8.00Example 4: Thursday, 11:49pm to 11:59pm. Grace period Total fee = $0.00Example 5: Monday, 12pm to 10:01pm. 12pm to 6pm is charged as 12 30-minute slots: $1.20 * 12 = $14.40 6pm to 10:01pm is charged as one entry: $5.00 10% Surcharge for parking more than 10 hours: ($14.40 + $5.00) * 10% = $1.94 Additional fee for exiting after 10pm: $3.00 Total fee = $14.40 + $5.00 + $1.94 + $3.00 = $24.34def compute_fee(day, time_in, time_out): """Your code here"""Test Cases: compute_fee(2, 429, 750) 8.4 compute_fee(6, 701, 1949) 48 compute_fee(7, 1500, 2201) 8 compute_fee(4, 2259, 2301) 0 compute_fee(1, 1200, 2201) 24.34 Alexis deposited $6,000 into an account that pays 3% interest compounded annually. He doesnt withdraw or deposit any money for 4 years. How much interest did he earn in that time? As a nurse manager, you embrace the usefulness of resources such as Smart Bed. This behavior is important to: