i will give brainliest and 50 points pls help ASP

I Will Give Brainliest And 50 Points Pls Help ASP

Answers

Answer 1

Answer:

Step-by-step explanation:

A trapezoid and two rectangulars are in the  opening form of the geometric shapes and you should calculate their surface areas seperately which is:

12 cm and 30 cm first rectangular and its surface area is 12 x 30 = 360 cm^2second rectangular has 30 cm and 26 cm and 30 x 26 = 780 cm^2A trapezoid surface area is = [(24+29) /2] * 25 = 662.5 cm^2total surface area = 360 + 780 + 662.5 = 1802.5
Answer 2

Answer:

Total surface area  = 3744 cm^2

Step-by-step explanation:

All linear measurements are in cm

Surface area of BOTH bases

Ab = 2*  (12+29)*24/2

= 984

Circumference of base

Cb = (25+12+26+29)

= 92

Height of prism

H = 30  (given)

Surface area of sides of prism

As= Cb*H

= 2760

Total Surface area of Prism

A = Ab + As

= 984 + 2760

= 3744 cm^2


Related Questions

15. Over what range of angles does the value of sin(O) consistently increase?
A. 45° to 135°
B. 90° to 180°
C. 0° to 180°
D. 0° to 90°

Answers

Answer:

D. 0° to 90°

Step-by-step explanation:

If we see curve of sin(o) on coordinate,  we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.

Hence option D is correct.

Alternatively

we see that

sin 0 = 0

sin 30 = 1/2

sin 45 = 1/[tex]\sqrt{2}[/tex]

sin 60 = [tex]\sqrt{3} /2[/tex]

sin 90 = 1

Thus, we see  that value of sin is increasing from 0 to 90

now lets see value of sin from 90 to 180

sin 90 = 1

sin 120 = [tex]\sqrt{3} /2[/tex]

sin 135 = 1/[tex]\sqrt{2}[/tex]

sin 150 = 1/2

sin 180 = 0

Thus, we see  that value of sin is decreasing from 90 to 180.

Brandon bought a book that originally sold for $18 on sale for 30% off. He paid a sales tax of 8%.
To the nearest cent, what was the total cost of the book?

Answers

Answer:

$13.61

Step-by-step explanation:

$18 * 70% = $12.60

$12.60 * 1.08 = $13.61

What is the equation of the line ( 1,9 ) ( 0,0 )

Answers

Answer:

y = 9x

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

    = (0-9)/(0-1)

   -9/-1

   9

The y intercept is 0 since the y value is 0 when x=0

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 9x +0

y = 9x

Obtain the number 175 in two steps, using the numbers 3, 10 and 25 exactly once. You may use addition, subtraction, or multiplication.

Answers

Answer: (10 - 3) x 25 = 175

Step-by-step explanation:

10 - 3 = 7

            7 x 25 = 175

Sum of two numbers is 20 their difference is 118

Answers

Answer:

a = first number

b = second number

"The sum of two numbers is 20."

a + b = 20

"[The difference of two numbers] is 118."

a - b = 118

Add the two equations together:

(a + b) + (a - b) = 20 + 118

Simply and solve:

2a = 138

a = 69

Use one of the above equations to solve for the second number.

a + b = 20

a = 69

69 + b = 20

b = -49

HOPE THIS HELPS AND PLSSS PLSSS MARK AS BRAINLIEST

THNXX :)

g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the length of his shadow when he is 25 ft from the street light

Answers

Answer:

[tex]-\frac{10}{3}ft/s[/tex]

Step-by-step explanation:

We are given that

Height of man=5 foot

[tex]\frac{dy}{dt}=-10ft/s[/tex]

Height of street light=20ft

We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.

ABE and CDE are similar triangle because all right triangles are similar.

[tex]\frac{20}{5}=\frac{x+y}{x}[/tex]

[tex]4=\frac{x+y}{x}[/tex]

[tex]4x=x+y[/tex]

[tex]4x-x=y[/tex]

[tex]3x=y[/tex]

[tex]3\frac{dx}{dt}=\frac{dy}{dt}[/tex]

[tex]\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s[/tex]

Hence, the rate of change of the length of his shadow when he is 25 ft from the street light=[tex]-\frac{10}{3}ft/s[/tex]

If the statement shown is rewritten as a conditional statement in if-then form, which best describes the conclusion? When a number is divisible by 9, the number is divisible by 3.

Answers

Answer:

when a number is divisible by 9, then the number is divisible by 3.

Step-by-step explanation:

They tell us "When a number is divisible by 9, the number is divisible by 3" we could change it by:

when a number is divisible by 9, then the number is divisible by 3.

Which makes sense because the number 9 is a multiple of the number 3, which means that the 9 can be divided by 3, therefore, if the number can be divided by 9, in the same way it can be divided by 3 .

Answer:

a

Step-by-step explanation:

The total number of students enrolled in MATH 123 this semester is 5,780. If it
increases by 0.35% for the next semester, what will be the enrollment next
semester? Round to a whole person.

Answers

Answer:

5,800 people

Step-by-step explanation:

We can find the enrollment for next semester by multiplying:

5,780(1.0035) = 5,800.23

We can round this to 5,800 people.

Helppp Please!!!!!!!!!

Answers

Answer:

B. 17°.

Step-by-step explanation:

To solve the problem, we can use SOH CAH TOA.

SOH = Sine, Opposite divided by Hypotenuse

CAH = Cosine, Adjacent divided by Hypotenuse

TOA = Tangent, Opposite divided by Hypotenuse

In this case, we are given both the opposite and the hypotenuse, so we will use sine to solve it.

sine(N) = 4 / 14

sine(N) = 2 / 7

N = sec(2/7)

N = 16.6015496, which is about B. 17°.

Hope this helps!

2.5 – 1.2x < 6.5 – 3.2x?

Answers

Answer:      x<2   or   xϵ(-∞; 2)

Step-by-step explanation:

Add +3.2x to both sides of inequality:

2.5-1.2x+3.2x<6.5-3.2x+3.2x

2.5+2x<6.5

Deduct 2.5 from both sides of inequality:

2.5-2.5+2x<6.5-2.5

2x<4

Divide both sides of inequality by 2

2x/2<4/2

x<2   or   xϵ(-∞; 2) ( the answer can be written in 2 ways)

Answer:

2.5 - 1.2x < 6.5 - 3.2x

add 3.2x to both sides;

2.5 + 2x < 6.5

minus 2.5 from both sides;

2x < 4

 x < 2

Step-by-step explanation:

This is the exact same as doing a linear equation, so brush up on this skill.

Please I am in need of help if you go solve all my questions o will mark brainliest

Answers

Answer:

top left

Step-by-step explanation:

Consider finding points on the graph using the equation.

x = 0 : f(0) = [tex]0.5^{0}[/tex] + 4 = 1 + 4 = 5 ← y- intercept

Since y- intercept is 5, this excludes the lower 2 graphs, which have y- intercepts of 1

x = 1 : f(1) = [tex]0.5^{1}[/tex] + 4 = 0.5 + 4 = 4.5 ⇒ (1, 4.5 )

x = - 1 : f(- 1) = [tex]0.5^{-1}[/tex] + 4 = [tex]\frac{1}{0.5}[/tex] + 4 = 2 + 4 = 6 ⇒ (1, 6 )

These points lie on the top left graph

Find f o g and g o f to determine if f and g are inverse functions. If they are not inverses, pick the function that would be the inverse with f(x). f(x) = (-2/x) – 1; g(x) = -2/(x+1)
Choices:
a. g(x) has to be: (1+x)/2
b. g(x) has to be: x/2
c. g(x) has to be: 2 – (1/x)
d. Inverses

Answers

Answer:

Step-by-step explanation:

Hello,

[tex]x = (fof^{-1})(x)=f(f^{-1}(x))=\dfrac{-2}{f^{-1}(x)}-1\\\\<=>f^{-1}(x)(x+1)=-2\\\\<=> f^{-1}(x)=\dfrac{-2}{x+1}[/tex]

and this is g(x)

so they are inverses

Hope this helps

A certain shampoo is available in two sizes. A 13.5 ounces bottle cost $2.98. A 29.2 ounce bottle cost $6.12. Find the Unit price for each size. Then state which size is the better buy based on the unit price. Round your answer to the nearest cent

Answers

Answer:

9.2 ounce bottle cost $6.12 is better buy with unit price of $0.22

Step-by-step explanation:

Unit price of any product is given by

unit price = weight of product/ price of product

Given sizes

A

13.5 ounces bottle cost $2.98

cost of 1 ounce of shampoo for this size = cost price/weight of shampoo

 cost of 1 ounce of shampoo for this size =2.98/13.5 = $0.22

Unit price for this size is $.022

B

9.2 ounce bottle cost $6.12

cost of 1 ounce of shampoo for this size = cost price/weight of shampoo

 cost of 1 ounce of shampoo for this size =6.12/9.2 = 0.66

Unit price for this size is $0.66

As $0.22 is less than $0.66 thus,

9.2 ounce bottle cost $6.12 is better buy.

Find the inverse of the function Find the inverse of the function f(x)=2x-4

Answers

Step-by-step explanation:

firstly suppose f(X) as y and later interchange it with x and solve it to get inverse function of x.

The inverse of the given function is [tex]f^{-1}(x)=\dfrac{x+4}{2}[/tex].

Important information:

The given function is [tex]f(x)=2x-4[/tex].

We need to find the inverse of the given function.

Inverse of a function:

Substitute [tex]f(x)=y[/tex].

[tex]y=2x-4[/tex]

Interchange [tex]x[/tex] and [tex]y[/tex].

[tex]x=2y-4[/tex]

Isolate [tex]y[/tex].

[tex]x+4=2y[/tex]

[tex]\dfrac{x+4}{2}=y[/tex]

Substitute [tex]y=f^{-1}(x)[/tex].

[tex]\dfrac{x+4}{2}=f^{-1}(x)[/tex]

Thus, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{x+4}{2}[/tex].

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In a random sample of high school seniors, the proportion who used text messaging was 0.88. In a random sample of high school freshmen, this proportion was 0.68. Researchers found the difference in proportions to be statistically significant and obtained one of the following numbers for the p-value. Which is it?
a. 1.5
b. 0.02
c. 0.78
d. 0.30

Answers

Answer:

Option B - 0.02

Step-by-step explanation:

In this question, the p-value is used to tell us the probability that a difference of (0.88 – 0.68) which is 0.2 or greater would occur in the distribution of simulated differences. This is created done with the assumption that there is no true difference in the two populations.

Due to the fact that the researchers found the difference in proportions to be statistically significant, hence these results would rarely occur due to just the sampling variability and thus the p-value must be small.

Looking at the options, the p-value in Option (B) will be the correct response,l as it indicates that a difference of 0.2 or more would only occur about 2% of the time by chance alone provided the proportion who text were the same in the population of seniors and the population of freshmen. This resonates well with the claim that the difference in proportions is statistically significant.

Thus, Option B is the correct answer.

which of the following sets of ordered pairs describes a function?
(A) {(2,3),(2,5),(4,7)}
(B) {(2,1),(4,3),(5,7)}
(C) {(3,-2),(2,4),(3,6)}
(D) {(-1,4),(-1,5),(2,5)}​

Answers

Answer:

(B) {(2,1),(4,3),(5,7)}

Step-by-step explanation:

If the same x value goes to 2 different y values, it is not a function

(A) {(2,3),(2,5),(4,7)}   the x value 2 goes to 3 and 5

(B) {(2,1),(4,3),(5,7)}

(C) {(3,-2),(2,4),(3,6)}  3 goes to -2 and 6

(D) {(-1,4),(-1,5),(2,5)}​-1 goes to 4 and 5

Which function is negative for the interval [-1,1] ?

Answers

Answer:

Option (2)

Step-by-step explanation:

Option (1)

In the interval [-1, 1] Or -1 ≤ x ≤ 1, value of the function will be represented by the y-values.

Since, the graph is below x-axis in the interval -1 ≤ x ≤ 0.5, function will be negative.

And in the interval 0.5 ≤ x ≤ 1, graph is above the x-axis, function will be positive.

Option (2)

In this option, graph is below the x-axis in the interval [-1, 1].

Therefore, the given graph is negative in this interval.

Option (3)

In this graph, function is negative and positive both in the interval -1 ≤ x ≤ 1.

Option (4)

In this graph function is completely above the x-axis in the interval -1 ≤ x ≤ 1.

So this function is positive in the interval [-1, 1].

Therefore, Option (2) will be the answer.

Answer:b since I got the others wrong

find two complex numbers whose sum is 12 and whose product is 37.​

Answers

Answer:

6 ± i and 6 ± i

Step-by-step explanation:

Let x be the first number.

Let y be the second number.

x + y = 12

x × y = 37

Solve for x in the first equation.

x = 12 - y

Put x as 12-y in the second equation and solve for y.

(12- y)y = 37

12y - y² = 37

- y² + 12y - 37 = 0

y = 6 ± i

Put y as 6 ± i in the first equation and solve for x.

x + 6 ± i = 12

x = 12 - 6 ± i

x = 6 ± i

Simplify the expression ( √3+i) + (√5-2i) and write the result in a+bi.

Answers

Answer:

c. (√3 + √5) - i

Step-by-step explanation:

(√3+i) + (√5-2i) =  √3+i + √5-2i = (√3 + √5) + (i - 2i) = (√3 + √5) - i

please simplify this equation

Answers

Answer:

The answer is -24√35

Step-by-step explanation:

-6√7 × 4√5

Using the rules of surds multiply the numbers outside the square root and the ones inside

That's

(-6×4)(√ 7 × √5)

= - 24√7×5

= -24√35

Hope this helps you

Answer:

-24√35

Step-by-step explanation:

-6√7 × 4√5

-6 × √7 × 4 √5

-6 × 4 × √7 × √5

-24 × √(7 × 5)

-24√35

What is the definition of PEMDAS

Answers

Answer:

it's the step by step proceedure you use when solving an equation. Parentethese (do this first)

Exponents (take care of that after parentheses)  

Multiplication

Division

Addition

subtraction (always the last step in the problem)

Step-by-step explanation:

Answer:

PEMDAS = ( ), Exponents, Multiplication, Division, Addition, Subtraction

Step-by-step explanation:

essentially, PEMDAS are an order of a rule in which you have to follow.

1. P = Parenthesis/ ( )

2. E= Exponents/ ²

3. M= Multiplication/ x

4. D= Division/ ÷

5. A= Addition/+

6. S= Subtraction/-

Each goes in order, and if there isn't one of the steps included in the math problem you are given, then its better to move on to the next uwu

I hope this was helpful owo

The probability that Hugo is on time for a given class is 71 percent. If there are 57 classes during the semester, what is the best estimate of the number of times out of 57 that Hugo is on time to class? Round your answer to the nearest integer.

Answers

Answer:

40

Step-by-step explanation:

P(Hugo is on time for a given class)=71%=0.71

If there are 57 classes during the semester

The number of times Hugo is on time to class during the semester will

=0.71 X 57

=40.47

[tex]\approx 40 $ (correct to the nearest integer.)[/tex]

Hugo is on time to class approximately 40 out of 57 times.

of the following fractions which is 50% greater than 3/7

Answers

Answer:

9/14

Step-by-step explanation:

3/7 + 50%×3/7 =

= 3/7 + 1/2×3/7

= 3/7 + 3/14

= 6/14 + 3/14

= 9/14

The required fraction which 50% grater than 3/7 is 9/14.


Fraction to determine that 50% grater than 3/7.


What is fraction?

Fraction of the values is number represent in form of Numerator and denominator.


Here, fraction = 50% grater than 3/7
                     
= 1.5 x 3/7
                    = 4.5/7
                     =  45/70
                     
= 9/14

Thus, The required fraction which 50% grater than 3/7 is 9/14.

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Find the length of the given segment.

Find LN

Answers

Answer:

x+10=1/2*(x+2)

2x+20=x+2

20-2= x-2x

x= -18

now,

LN= X+10

= -18+10

= -8

A train leaves Station A traveling west at 60 miles per hour for 7 hours, and then continues to travel west on the same track for 3 hours at 55 miles per hour, where it stops at Station B. How far is Station A from Station B?

Answers

Answer: 585 miles

Step-by-step explanation: 60 x 7 for the first 7 hours = 420 miles, then 3 x 55 for the last 3 hours = 165 add them together, 420+265 you get= 585

60 miles per hour x 7 hours = 420 miles

55 miles per hour x 3 hours = 165 miles

Total miles = 420 + 165 = 585 miles

College students spend $183 more each year on textbooks and course materials than on computer equipment. They spend a total of $819 on textbook and course materials and equipment each year. How much is spent each year on textbooks and course materials and computer equipment?

Answers

Answer:

Textbooks: $506Course Materials and Electronics: $323

Step-by-step explanation:

First, we need to divide the amount into 2 equal parts:

$819/2 = $414.50

Now, because they spent $183 more on textbooks, we add half of that to $414.50.

$414.50 + $91.50 = $506

$414.50 - $91.50 = $323

To make sure that the amount spent on textbooks is $183 more than the amount spent on course materials and computers, we need to add $183 to $323. If we get $506, our answer is correct.

$323 + $183 = $506 ✅

Textbooks: $506Course Materials and Electronics: $323I'm always happy to help

QUICK HELP HURRY! Simplify the expression. [tex]10^{-2} +10^{-1}[/tex]

Answers

Answer:

11/100 or 0.11

Step-by-step explanation:

10^-2 is also equal to 1/100

10^-1 is also equal to 1/10

Simply add them now:

1/100+1/10

= 1/100+ 10/100

= 11/100=0.11

Hope this helped!

Raymond wanted to buy 8 t-shirt but he was short of $8.10. instead he bought 5 T-shirt and had $12.60 left. how much would he need to pay for 20 t-shirt?

Answers

Answer:

$138

Step-by-step explanation:

Let the money with Raymond be $y

Let the cost of 1 tshirt be $x

then cost of 8 tshirt = cost of 1 t-shirt*8 = 8x

Raymond wanted to buy 8 t-shirt but he was short of $8.10

It means that 8x is equal to money he had plus $8.10

thus,

y + 8.10 = 8x

y = 8x - 8.10

Next situation

cost of 5 t-shirt = 5x

. instead he bought 5 T-shirt and had $12.60 left,

it means cost of 5 T-shirt plus $12.60 = total money Raymond had

y = 5x + 12.60

comparing y in both the equation

y = 8x - 8.10 and y = 8x - 8.10

5x + 12.60 =  8x - 8.10

=> 8x-5x = 12.60+8.10

=> 3x = 20.70

=> x = 20.70/3 = 6.9

Thus, cost of 1 T-shirt = $6.9

cost of 20 T-shirt = 20*$6.9 = $138  (Answer)

Tony used a photocopier to dilate the design for a monorail track system. The figure below shows the design and its photocopy
A
10 m
B
F
E
8 m
D
D
С
G
Design
Photocopy
The ratio of CD:GH is 2:3. What is the length, in meters, of side EH on the photocopied image? (5 points)

Answers

Answer:

12 m

Step-by-step explanation:

Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.

Thus, we are given the ratio, CD:GH = 2:3.

This means, any of the corresponding lengths of both figures would be in that same ratio.

Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.

The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔

[tex] \frac{AD}{EH} = \frac{2}{3} [/tex]

[tex] \frac{8}{EH} = \frac{2}{3} [/tex]

Cross multiply

[tex] 3*8 = 2*EH [/tex]

[tex] 24 = 2*EH [/tex]

Divide both sides by 2 to make EH the subject of formula

[tex] \frac{24}{2} = \frac{2*EH}{2} [/tex]

[tex] 12 = EH [/tex]

The length of side EH = 12 m

1. What is a​ residual?
A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.
B. A residual is a point that has a strong effect on the regression equation.
C. A residual is a value that is determined exactly, without any error.
D. A residual is the amount that one variable changes when the other variable changes by exactly one unit.
2. In what sense is the regression line the straight line that​ "best" fits the points in a​ scatterplot?
The regression line has the property that the______of the residuals is the V possible sum.

Answers

Answer:

1. what is a residual?

A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.

2. The regression line has the property that the_sum of squares_of the residuals is the minimum possible sum.

Step-by-step explanation:

1. What is a​ residual?

A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.

2. In what sense is the regression line the straight line that​ "best" fits the points in a​ scatterplot?

The regression line has the property that the_sum of squares_of the residuals is the minimum possible sum.

A residual is a value {Δy} that is a difference between an observed value of {y} and a predicted value of {y}.  

What is regression line?

A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. Mathematically -

[tex]$Y_i=f(X_i, \beta)+e_i[/tex]

Given is residual.

The residual for each observation is the difference between predicted values of y (dependent variable) and observed values of y. Mathematically -

[tex]r = x-x_{0}[/tex]

Therefore, a residual is a value {Δy} that is a difference between an observed value of {y} and a predicted value of {y}.  

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What is the "k" value of the following function? Is it 3, -2, -3, or 2? nBest answer tests includea. Matching and multiple choice testsb. Multiple choice, T/F and matching testsc. Multiple choice and matching tests onlyd. None of thesePlease select the best answer from the choices providedA the profit earned by a hot dog stand is a linear funsion of the number of hot dogs sold.It cost the owner $48 dollars each morning for the day's supply of hot dogs,but he earnes $2 profit for each hot dog sold which equation represent y, the profit earned bye the hot dogs sold Kip is going to meet his family.The table shows the number ofkilometers he needs to travel until hereaches them.Hour1234567Kilometers151131111917151M 50 POINTS PLEASE HELP ASAP! If you had the chance to move to any city or region in the United States, where would you choose to move? What pull factors would encourage you? Read the sentence carefully then choose the correct answer Describe the role of the Muslim students in the Pakistan Movement. In what ways can students, such as yourself, contribute to the progress of Pakistan? Research online or from various resources you have at home to write a detailed answer. What is the slope of the line shown? The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line? please help fast 20 pt will mark the branliest g For this question, ignore inflation. Suppose Jenny earns $60,000 per year working as a tax analyst. After ten years, she quits her job and pursues a PhD in Art History. For the 5 years she is in school, she gets a teaching stipend of $12,000 per year. For the next 35 years, she is an art director and earns $95,000. If she expects to live for 20 years in retirement. If Jenny doesnt earn any interest on her savings and wants to perfectly smooth consumption across her life, how much will she consume every year? What might prevent her from perfectly smoothing consumption? The bid-ask spread exists because of _______________. A. market inefficiencies B. discontinuities in the markets C. the need for dealers to cover expenses and make a profit D. lack of trading in thin markets Which is a negative effect of deforestation on the environment? habitat restoration, desertification, soil production, or urbanization (-)-Cholesterol has a specific rotation of -32o. A mixture of ( )- and (-)-cholesterol was analyzed by polarimetry, and the observed rotation was 14o. What is the percent composition of the ( ) isomer in this mixture prove thatcos^2(pi/2_thita/4)_sin^2(pi/4_thita/4)=sin thita/2please help me.. Which relation defined by a mapping diagram is not a function? Workers at Majestic Manufacturing have won the right to unionize, but management is unwilling to participate in the collective bargaining process and bargain in "good faith." This is a direct violation of the _______Act. A variable like userNum can store a value like an integer. Extend the given program to print userNum values as indicated. (1) Output the user's input. Enter integer: 4 You entered: 4 (2) Extend to output the input squared and cubed. Enter integer: 4 You entered: 4 4 squared is 16 And 4 cubed is 64!! (3) Extend to get a second user input into userNum2. Output sum and product. Enter integer: 4 You entered: 4 4 squared is 16 And 4 cubed is 64!! Enter another integer: 5 4+5 is 9 4*5 is 20. Mark says that the number 2 is a rational number because he can write it as the fraction >Is Mark correct? Why or why not?O Mark is correct because the denominator, 1, is an integer.Mark is correct because the fraction is equal to V2.Mark is not correct because 2 is not equal to the fractionMark is not correct because a fraction is rational only if the numerator and the denominator are both integers. use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042 C. 2994 D. 3024 NEEEED HELPPP NOWWWW Use long division to find the quotient below.(x^5+ 18x^2 - 27x) - (x+3) If you vertically stretch the exponential function f(x) = 2^x by a factor of 3, whatis the equation of the new function?A. f(x) = 5^xB. f(x) = 2(3^x)C. f(x) = 3(2^x)D. f(x) = 6^x