Please can you help me

Please Can You Help Me

Answers

Answer 1

Answer:

92.16

Step-by-step explanation:

(-41.8 + 32.2)² =

(-9.6)² =

92.16

Answer 2

Answer:

92.16

Step-by-step explanation:

solving the brackets first, -41..8 + 32..2 equals -9.6 in total. The bracket has a square around it so our answer would be the square of wat ever we get in the bracket meaning (-9.6)^2 which gives us 92.16


Related Questions

Please help! The graph of a linear function passes through the points (-2,-5) and (1,-3).

Find the slope of this function.

Answers

Answer:

m=2/3

Step-by-step explanation:

[tex]m=\dfrac{\delta y}{\delta x} \\\\=\dfrac{-5-(-3)}{(-2)-1}\\ \\\dfrac{2}{3}[/tex]

triangle abc is equal to triangle pqr, angle p=8x+4, angle a=5x+16 , and angle q=10x+2. find angle r
a. 36
b.not enough info
c. 42
d. 102

Answers

Answer: b.not enough info

Step-by-step explanation:

Corresponding angles of congruent triangles are congruent, so [tex]\angle A =\angle P[/tex]

However, we don't have all 3 interior angles of either triangle, so we cannot conclude anything.

the length of the flagpole is ?

Answers

The length of the flagpole is x - 5 yards

Area of a square

The formula for calculating the area of the flagpole is expressed as:

A = L²

Given that;

A = x² - 10 + 25

Factorize

A = x² - 5x - 5x + 25

A =(x - 5) - 5(x - 5)

A = (x-5)²

Compare

L = x - 5 yards

Hence the length of the flagpole is x - 5 yards

Learn more on area of a square here: https://brainly.com/question/13389992

#SPJ1

A social security number is a sequence of nine digits. Determine the number of social security numbers that satisfy the following conditions:
a. There are no restrictions.
b. The digit 8 is never used.
c. The sequence does not begin or end with 8.
d. No digit is used more than once.

Answers

Answer:

765314290

Step-by-step explanation:

doesn’t use 8

Not start with 8

Digits used only 1’cd

use the interactive expression equivalent to 4x-4-2x+3. ​

Answers

Answer: x = 1/2

Step-by-step explanation:

4x - 2x - 4 + 3

2x - 1

x = 1/2

Please help me with this asap

Answers

Answer:

18

Step-by-step explanation:

So since the two lines are parallel, 3x is congruent to the angle to the left of 6x+18 and since the two angles together are a straight line it's equal to 180 degrees. So

6x + 18 + 3x = 180

9x + 18 = 180

9x = 162

x = 18

The principal P is borrowed at a simple interest rate r for a period of time t.

Answers

Answer:

simple interest of the given question is 495

Step-by-step explanation:

SIMPLE INTEREST=P*T*R/100

-. A medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the test is 0.95. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04. It is estimated that 4% of the population who take this test have the disease .If the test administered to an individual is positive, what is the probability that the person actually has the disease? Suppose 20% of the people who were referred to a clinic for the test did in fact have the disease. If the test administered to an individual from this group is positive, what is the probability that the person actually has the disease?​

Answers

Answer:

TV focusing urgency hangs amateur ushers sex tendency yachting

What is the final transformation in this sequence of transformations mapping pre-image VWXYZ to final image V''W''X''Y''Z''?
a translation up and to the right
a reflection across point Z'
a rotation 90° about V'
a rotation 180° about Z'

Answers

Polygon ABCD was rotated 270° about point Z to form polygon A"B"C"D"

What is a transformation?

Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.

Polygon ABCD was rotated 270° about point Z to form polygon A"B"C"D"

Find out more on transformation at: https://brainly.com/question/4289712

#SPJ1

Answer:

It's D

Step-by-step explanation:

Got it right

Using an Algebraic Expression to Represent a Problem
CAR
WASH
Fundraiser !!!
Raising money
The science club sponsors a car
wash every year to raise money for
the state robotics competition.
This year, the club raised $20 more
than twice what it raised last year.
Answer these questions to write an algebraic expression for the car wash problem.
Check Your Understanding- Question 1 of 3
Attempt 1 of 2
What missing piece of information would help you write an algebraic expression to
represent the amount of money raised this year?
A. The number of cars that were washed
B. The number of club members going to the robotics competition
C. The price of each car wash
D. How much the science club raised during last year's car wash

Answers

Answer:

x= what they raised last year

2x+20= what they raise this year or y

d

Hope This Helps!!!

PLEASEEE HELP !!!
Review the graph of a piecewise function.

On a coordinate plane, a curve goes through closed circle (negative 3, negative 1) and curves up and approaches x = negative 1 in quadrant 1. A line starts at closed circle (negative 1, negative 3) and goes to open circle (1, negative 1). It then goes to open circle (3, negative 1). A horizontal line starts at open circle (3, negative 3) and goes to (5, negative 3). A closed circle is at (3, negative 4).

For which value of x is the function continuous?

Answers

Using the continuity concept, it is found that the function is continuous at x = -3.

What is the continuity concept?

A function f(x) is continuous at x = a if it is defined at x = a, and:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

In this problem, the function is continuous at x = -3, as:

f(3) = -1.[tex]\lim_{x \rightarrow -3^-} f(x) = -1[/tex].[tex]\lim_{x \rightarrow -3^+} f(x) = -1[/tex].

At x = -1, we have that [tex]\lim_{x \rightarrow -1^-} f(x) = \infty[/tex], hence it is not continuous.

The function is not defined for x = 1, and at x = 3, the lateral limits are different.

More can be learned about continuity at https://brainly.com/question/24637240

#SPJ1

Please solve this for me thank you!

Answers

Answer:

620.14

Step-by-step explanation:

Original Equation:

[tex]\frac{4y}{1.025^4}+y-2y(1.05)^2=1500[/tex]

Calculate exponents

[tex]\frac{4y}{1.103812890625}+y-2y(1.1025)=1500\\[/tex]

Simplify:

[tex]3.6238025791990193084270042653997y + y - 2.205y = 1500[/tex]

Add like terms

[tex]2.4188025791990193084270042653997y \approx 1500[/tex]

Divide both sides by 7.012

[tex]y\approx 213.91[/tex][tex]y\approx620.14[/tex]

Answer:

y = $620.14 (nearest cent)

Step-by-step explanation:

Given equation:

[tex]\dfrac{4y}{1.025^4}+y-2y(1.05)^2=\$1,500[/tex]

Factor out y from the left side:

[tex]\implies y\left(\dfrac{4}{1.025^4}+1-2(1.05)^2\right)=\$1,500[/tex]

Carry out the arithmetic operations inside the parentheses by following the order of operations PEMDAS:

Calculate the exponents:

[tex]\implies y\left(\dfrac{4}{1.103812891...}+1-2(1.1025)\right)=\$1,500[/tex]

Carry out the multiplication and division from left to right:

[tex]\implies y\left(3.623802579...+1-2.205\right)=\$1,500[/tex]

Carry out the addition and subtraction from left to right:

[tex]\implies y\left(4.623802579...-2.205\right)=\$1,500[/tex]

[tex]\implies y\left(2.418802579...\right)=\$1,500[/tex]

Finally, divide both sides by the coefficient of y to isolate y:

[tex]\implies \dfrac{y\left(2.418802579...\right)}{2.418802579...}=\dfrac{\$1,500}{2.418802579...}[/tex]

[tex]\implies y=\$620.141558...[/tex]

Therefore, y = $620.14 (nearest cent)

•Mr. Jones and Mr. Thomas
entered into partnership
I with capital of $12600
and $19200 respectively.
after 3 months they!
were joined by Mr.Forson with a capital of $ 16200.It is agreed that the profit should be shared in proportion to their capitals.During the first 3 month of the year,………..

Answers

The profit should be shared in proportion to Mr Jones, Mr Thomas and Mr forson capitals in the ratio 21 : 32 : 27 respectively.

Proportion

Mr Jones capital = $12600Mr Thomas capital =$19200Mr forson capital = $16200

Total capital = $12600 + $19200 + $16200

= $48,000

Mr Jones proportion = $12600 / $48,000

= 21/80

Mr Thomas proportion = $19200 / $48,000

= 32/80

Mr forson proportion = $16200 / $48000

= 27/80

Learn more about proportion:

https://brainly.com/question/1781657

#SPJ1

The price p (in dollars) and the demand X for a particular clock radio are related by the equation X = 3000 -10p. Find and answer A - D

Answers

The price p based on the equation given is p = 3000 - 0.1x.

How to express the price?

The equation given in the question is x = 3000 - 10p. The price(p) will be:

x = 3000 - 10p.

Make p the subject of the formula

x + 10p = 3000

10p = 3000 - x

p = (3000 - x)/10

p = 3000 - 0.1x

The revenue will be price multiplied by quantity. This will be:

= (3000 - 0.1x) × x

= 3000x - 0.1x²

The marginal revenue will be calculated after differentiating. This will be:

= 3000x - 0.1x²

= 3000 - 0.2x

The demand which is the quantity based on the information will be:

3000 - 0.2x = 0

0.2x = 3000

x = 1500

Learn more about demand on:

brainly.com/question/1245771

#SPJ1

At the beginning of the year (January 1), a company has $11,000 of common stock outstanding and retained earnings of $7,900. During the year, the company reports net income of $8,200 and pays dividends of $2,900. In addition, the company issues additional common stock for $7,700.

Answers

The preparation of the statement of stockholder's equity at the end of the year (December 31) is presented below in the form of table.

How to find the stockholder's equity?

The preparation of the statement of stockholder's equity at the end of the year (December 31) is presented as:

                                   Statement of stockholder's equity        

Particulars Common stock Retained earnings    Total stockholder  

                                                                                          Equity

Beginning

balance        $11,000                  $7,900                     $18,900

Add: Additional

common stock $7,700                                                   $7,700

Add: Net income                           $8,200                    $8,200  

Less - dividend                            -$2,900                    -$2,900

Ending balance  $17,000              $5,300                 $5,300

Learn more about stockholder's equity;

https://brainly.com/question/14864097

#SPJ1

In the year 1985, a house was valued at $106,000. By the year 2005, the value had appreciated to $146,000. What was the annual growth rate between 1985 and 2005? Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010?

Answers

The value of the house in the year 2010 is 150056.47.

What is growth rate?

The growth rate of a value (GDP, turnover, wages, etc.) measures its change from one period to another (month, quarter, year)

Value

v(t) = V0 ( 1 + r)^t

let V0 =  106, v(20) = 146

So,

146 = 110(1 + r )^20

146/110 = (1 + r )^20

1.327 = (1 + r )^20

1+ r = 1.014

r= 0.014

So, annual growth rate is 1.4%.

In the year 2010

v(t) = 106(1.014)^25

v(t) = 106(1.014)^25

v(t) - 150056.47

Learn more about this concept here:

https://brainly.com/question/15383938

#SPJ1

With the aid of a power reducing formula, 14sin² acos² a = ?

Answers

The reduced form of the trig expression is 7/2sin²2a

Trigonometry identity

Trigonometry identities are written in terms of sine, cosine and tangent. Given the trigonometry identity

14sin² acos² a

Since sin(a)cos(a) = sin2a/2, hence

14sin²acos²a = 14[sin(a)cos(a)]²

14sin²acos²a = 14(sin2a/2)²

14sin²acos²a = 14/4(sin²2a)

14sin²acos²a = 7/2sin²2a

Hence the reduced form of the trig expression is 7/2sin²2a

Learn more on trigonometry expression here: https://brainly.com/question/27904371

#SPJ1

Whats the correct answer answer asap for brainlist

Answers

Answer: mountains
Explanation: The snow melts into the rivers

What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 96 words per​ minute

Answers

Using the normal distribution, it is found that there is a 0.1029 = 10.29% probability that the sample mean is above 96.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Researching the problem on the internet, the parameters are given as follows:

[tex]\mu = 92, \sigma = 10, n = 10, s = \frac{10}{\sqrt{10}} = 3.1623[/tex]

The probability that the sample mean is above 96 is one subtracted by the p-value of Z when X = 96, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{96 - 92}{3.1623}[/tex]

Z = 1.265

Z = 1.265 has a p-value of 0.8971.

1 - 0.8971 = 0.1029 = 10.29% probability that the sample mean is above 96.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Bobby is at a county fair and is participating in "The Height Game". To play, the booth owner attempts to guess a participant's height. If the owner's guess is no more than 1 inch from the actual height, the owner wins the participant’s money. Otherwise, the participant wins a prize. If Bobby's height is 75 inches, what inequality would give the range of values that the owner could guess (g) in order to for Bobby to win a prize?

Answers

The required range for the owner to win the participant's money is given by
g ≤ 76 inches.

In the game of the Height, there is a participant named bobby and the guess maker a booth owner, if the booth owner makes the right guess than  he will get the money of the participant who are participating in the game.

What is range?

Range, it is the set of the values that come out to an outcome for certain mathematical operation.

As per the condition, the booth owner can guess the height of the participants more than 1 inches of the actual height.
so the range (g) ≤ 76, so the booth owener wins the money

Thus, the required inquility for the condition is given by (g) ≤ 76.

learn more about range here:
https://brainly.com/question/12239390

#SPJ1


Andrew has a new job at the local pizza store as a delivery boy

Answers

The distance of the entire trip is 15 minutes and  distance far away from the house to the pizza store is 9 blocks away.

Distance

a. The entire trip based on the given graph is 15 minutes.

b.  Distance:

Distance=10-1

Distance=9 block away

c.  Andrew stopped for 3 minutes for 1 minutes between third minutes and fourth minutes.

d. Distance:

Distance=10-2

Distance=8

Distance=15-8

Distance=7 minutes

Distance=5-1

Distance=4 minutes

Therefore the distance of the entire trip is 15 minutes and  distance far away from the house to the pizza store is 9 minutes.

Learn more about distance here:https://brainly.com/question/1597347

#SPJ1

Volume and surface area

Answers

By applying the volume formulae for composite figures, cones and hemispheres, we obtain that the volume is approximately equal to 558.9 cubic centimeters.

How to determine the volume of a composite figure

The volume of the composite figure is the sum of the volumes of the two figures: (i) a cone, (ii) a hemisphere. The volume formula of the figure is shown below:

[tex]V = \frac{2\pi}{3} \cdot r^{3} + \frac{\pi}{3}\cdot r^{2}\cdot h[/tex]      

If we know that r = 5.3 cm and h = 8.4 cm, then the volume of the composite figure is:

V = (2π/3) · (5.3 cm)³ + (π/3) · (5.3 cm)² · (8.4 cm)

V ≈ 558.900 cm³

By applying the volume formulae for composite figures, cones and hemispheres, we obtain that the volume is approximately equal to 558.9 cubic centimeters.

To learn more on volumes: https://brainly.com/question/1578538

#SPJ1

Otto has some whipping cream that is 30%, butterfat, and some milk that is 2%, butterfat. He wants to make a 500 ML mixture of them that is 12%, percent butterfat.

What does point K represent in this context?

Answer:
CORRECT (SELECTED)
The mixture has the intended volume and has the intended percent of butterfat.

Explanation: Point K is on line b, so it represents a scenario where the mixture has a volume of 500 \,\text{mL}500mL500, start text, m, L, end text. Point KKK is on line aaa, so it represents a scenario where the mixture has 12\%12%12, percent butterfat.

Answers

The inference illustrates that the point K in this context represents that the mixture has the intended volume and has the intended percent of butterfat.

How to illustrate the information?

It should be noted that an inference simply means the conclusion that can be deduced based on the information given.

In this case, the inference illustrates that the point K in this context represents that the mixture has the intended volume and has the intended percent of butterfat.

Learn more about inference on:

brainly.com/question/25280941

#SPJ1

Answer: It The mixture has less than the intended volume and has more than the intended percent of butterfat.

Step-by-step explanation:

Find the area under the standard normal curve to the left of z=2.63. Round your answer to four decimal places, if necessary.

Answers

The area under the standard normal curve to the left of z = 2.63 is given by calculator will be 0.995.

What is a normal distribution?

The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The area under the standard normal curve to the left of z = 2.63 is given by calculator will be

Area = 0.995

More about the normal distribution link is given below.

https://brainly.com/question/12421652

#SPJ1

Suppose we write down the smallest (positive) $2$-digit, $3$-digit, and $4$-digit multiples of $7$.

What is the sum of these three numbers?

Answers

Step-by-step explanation:

Smallest two digit number which is multiple of 7 = 14 (7*2)

Smallest three digit number which is multiple of 7 = 105 (7*15)

Smallest four digit number which is multiple of 7 = 1001 (7*143)

Sum = 14+105+1001 = 1120.

Glenn, the owner of a hardware store, originally paid $54.60 for 15 tool sets. At his year-end clearance sale, he sold the last tool set for 24.00 How much money did he lose on the last tool set.

Answers

The amount of money he lose on the last tool set is: $30.60.

Amount lose

Using this formula

Amount lose=Original amount paid -Selling price

Where:

Original amount paid=$54.60

Selling price=$24.00

Let plug in the formula

Amount lose=$54.60-$24.00

Amount lose=$30.60

Therefore the amount of money he lose on the last tool set is: $30.60.

Learn more about amount lose here:https://brainly.com/question/11872053

#SPJ1

What is the best approximation for the perimeter of polygon ABCDE? A. 11.0 units B. 17.0 units C. 24.3 units D. 22.1 units

Answers

TheThe best approximation for the perimeter of polygon ABCDE is: C. 24.3 units.

Perimeter of polygon

Coordinate:

A=(-2,3)

B=(0,6)

C=(5,4)

D=(4,-1)

E=(-1,-2)

Distance AB=√(0+2)²+(6-3)²

Distance AB=√4+9

Distance AB=√13

Distance BC=√(5-0)²+(4-6)²

Distance BC=√25+4

Distance BC=√29

Distance CD=√(4-5)²+(-1-4)²

Distance CD=√1+25

Distance CD=√26

Distance DE=√(-1-4)²+(-2+1)²

Distance DE=√25+1

Distance DE=√26

Distance EA=√(-2+1)²+(3+2)²

Distance EA=√1+25

Distance EA=√26

Perimeter of pathogen ABCDE

=AB+BC+CD+DE+EA

=√13+√29+√26+√26+√26

=√13+√29+3√26

=24.2877 units
= 24.3 units (Approximately)

Therefore the correct option is C.

Learn more about Perimeter of polygon here:https://brainly.com/question/3310006

#SPJ1

Answer: 24.3 units

Step-by-step explanation:

the arc corresponding to the central angle of 35 degrees in a circle of radius 10 feet measures __feet. Round your answer to two decimal places.

Answers

Answer:

[tex]\huge\boxed{\sf Arc \ length = 6.11 \ ft.}[/tex]

Step-by-step explanation:

Given data:

Theta = θ = 35°

Radius = r = 10 ft.

Required:

Arc length = ?

Formula:

[tex]\displaystyle Arc \ length = 2 \pi r(\frac{\theta}{360} )[/tex]

Solution:

Put the givens in the above formula

[tex]\displaystyle Arc \ length = 2 (3.14)(10)(\frac{35}{360} )\\\\Arc \ length = 2(3.14)(10)(0.097)\\\\Arc \ length = 6.11 \ ft.\\\\\rule[225]{225}{2}[/tex]

The population of Kenya is 50 000 000. The population of Pakistan is 4 times greater than the population of Kenya. What is the population of Pakistan?

Answers

Answer:

Step-by-step explanation:

Comment

I would think Pakistan should be more than just 4 times as large as Kenya. However if you are given that Kenya is 50 000 000 then Pakistan will be 4 times the size of Kenya.

Pakistan = 4 * Kenya

Pakistan = 4 * 50 000 000

Pakistan = 200 000 000

Answer: Pakistan = 200 000 000

If Jonathan has 2 times as many dimes as quarters and they have a combined value of 360 cents, how many of each coin does he have?

Answers

Answer:

16 dimes8 quarters

Step-by-step explanation:

When ratios of quantities are given, it is often convenient to consider a group of objects in which the objects have that ratio.

How many groups?

Here, we have 2 dimes for each quarter, so a group of 2 dimes and 1 quarter is a useful group for this problem. Its value is 2×$0.10 +0.25 = $0.45.

The total value of all of the groups is $3.60, so there must be ...

  $3.60/($0.45/group) = 8 groups

The 8 groups of coins will have 16 dimes and 8 quarters.

Other Questions
Identify the following changes as physical or chemical. A loaf of risen but unbaked bread. Photo by Elinor D Bread dough rising: physical chemical Which administrative penalty can be imposed against a retail licensee that knowingly permitted the illegal sale, or negotiations for the sales, of controlled substances or dangerous drugs upon his or her licensed premises?. 1.what process and products are essential to caregivers assessment? Patricia was shopping for a new pair of sneakers. Although it would have been nice to take the shoes home immediately after purchasing them, she was willing to trade off immediate availability because she found that she could purchase the shoes online for a 50 percent discount. This is an example of using a. What is p r equal to? tan xtan ysin ycos x This is a scenario common with many physics students: you push a heavy car by hand. The car, in turn, pushes back with an opposite but equal force on you. Doesn't this mean that the forces cancel each other, making acceleration impossible? Resolve the misunderstanding underlying this question. Federal employment discrimination laws restrict the ability of employers to discriminate against workers on the basis of Group of answer choices education. experience. all of the choices. gender. Each answer choice below represents a relation by a set of ordered pairs. In which of the answer choices is the relation afunction?Select all correct answers.Select all that apply. {(-1,6), (4,4), (7, 13), (4,8)}{(3,6), (3, 5), (9, 12), (0, -3)}{(-5,0), (6, 8), (3,-5), (-5,-3)}{(7,9), (8,4), (-2,4),(-3, 14)}{(8,3), (3, 7), (6,4), (5,4)}C what is the good qualities of a good role model True or False ?The council of Constantinople 381 declared Jesus fully human Why does the author include details about the narrators brother making the baseball team in "The All-American Slurp"?to reveal the importance of physical fitness to the Lin familyto highlight the Lins admiration for American traditionsto illustrate the similarities between sports in America and China to emphasize that each member of the Lin family discovers how to fit in Find the answers for the frequency and relative frequency tables below.PLEASE ANSWER ALL 3 QUESTION, thank you I examine all the coding sequences in Diceros bicornis (Black rhinoceros) and identify each codon that translates into threonine with the following results: 25% ACA, 25% ACC, 25% ACT, 25% ACG. This results supports the conclusion that _______________. Based on the Text, How did life change for Americans? Americans who were born in the 1840s and 1850s would experience enormous changes in their lifetimes. Some of these changes resulted from a sweeping technological revolution. Their major source of light, for example, would change from candles, to kerosene lamps, and then to electric light bulbs. They would see their transportation evolve from walking and horse power to steam-powered locomotives, to electric trolley cars, to gasoline-powered automobiles. Born into a society in which the vast majority of people were involved in agriculture, they experienced an industrial revolution that radically changed the ways millions of people worked and where they lived. They would experience the migration of millions of people from rural America to the nation's rapidly growing cities. ~ loc.gov pls help: a small garden has a perimeter of 24 1/4 ft. If the length is 8 ft, what is the area of the garden. What is the effect of multiplying the parent function f(x) = x ^ 2 by a positive constant? Word frequencies - functionsDefine a function named GetWordFrequency that takes a vector of strings and a search word as parameters. Function GetWordFrequency() then returns the number of occurrences of the search word in the vector parameter (case insensitive).Then, write a main program that reads a list of words into a vector, calls function GetWordFrequency() repeatedly, and outputs the words in the vector with their frequencies. The input begins with an integer indicating the number of words that follow.Ex: If the input is:5 hey Hi Mark hi markthe output is:hey 1Hi 2Mark 2hi 2mark 2Hint: Use tolower() to set the first letter of each word to lowercase before comparing.The program must define and use the following function:int GetWordFrequency(vector wordsList, string currWord)#include #include #include #include using namespace std;/* Define your function here */int main() {/* Type your code here */return 0;} Which is a stretch of an exponential decay function?ofx= [*O f(x) = ---(5)*|_ f(x) = 5(---)*|OOf(x) = 5(5)* How many revolutions will a car wheel of diameter 22 in. make as the car travels a distance of one mile Setting the Scene of Romeo and Juliet, Part 2Write a short script (1520 lines) that creates an imagined scene between two or three characters. The scene should show a universal theme, such as "friends help and defend each other or "fights can last a long time. Be sure to set the mood of your scene by using stage directions to show how characters should interact with one another.