PLEASE HELP BEEN STUCK ON THIS FORVER! AND ITS DUE SOON! WILL GET 100 POINTS FOR HELPING CORRECTLY!
FIND THE 100TH LINE SEGMENT
CUBE #1 HAS 4 LINES
CUBE #2 HAS 12
CUBE #3 HAS 24
WHATS THE 100TH LINE SEGMENT USING NTH TERM.
PICTURE BELOW!

PLEASE HELP BEEN STUCK ON THIS FORVER! AND ITS DUE SOON! WILL GET 100 POINTS FOR HELPING CORRECTLY! FIND

Answers

Answer 1

Answer:

20,200

Step-by-step explanation:

Let the number of lines in each cube be a term in the sequence:

4, 12, 24, 40, ...

Work out the differences between the terms until the differences are the same:

[tex]4 \underset{+8}{\longrightarrow} 12 \underset{+12}{\longrightarrow} 24 \underset{+16}{\longrightarrow} 40[/tex]

     [tex]8 \underset{+4}{\longrightarrow} 12 \underset{+4}{\longrightarrow} 16[/tex]

As the second differences are the same, the sequence is quadratic and will contain an term.  The coefficient of n² is always half of the second difference.  Therefore, the coefficient of n² is 2.

To work out the nth term of the sequence, write out the numbers in the sequence 2n² and compare this sequence with the given sequence.

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5}2n^2 & 2 & 8 & 18 & 32\\\cline{1-5}\sf operation & +2&+4&+6&+8 \\\cline{1-5}\sf sequence & 4 & 12 & 24 & 40\\\cline{1-5}\end{array}[/tex]

From inspection of the table, we can see that the "operation" is to add 2n to 2n².

Therefore, the nth term is:

[tex]a_n=2n^2+2n[/tex]

To find the number of lines in the 100th cube, substitute n = 100 into the equation for the nth term:

[tex]\begin{aligned}n=100 \implies a_{100} & = 2(100)^2+2(100)\\& = 2(10000)+200)\\& = 20000+200\\& = 20200\end{aligned}[/tex]

Therefore, the 100th cube has 20,200 lines.


Related Questions

If Line t || Line v and m∠5 =5x + 45 and m∠7 = 12x - 11, find m∠5

Answers

The Line t || Line v the  value of angle m∠5  is 69.28° .

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

Line t || Line v

m∠5 =5x + 45

m∠7 = 12x - 11,

According to given question we have

Line t || Line v

Using the property of interior angles on same sides we get

m∠5 =m∠7

5x + 45=12x - 11

compare like terms we get

45-11=12x-5x

34=7x

x=34/7°

By put the value of x

m∠5 =5x + 45

m∠5 =5*34/7+45

m∠5 =485/7=69.28°

m∠7 =12x - 11=12*34/7-11

m∠7 =331/7°

m∠7 =47.28°

Therefore, the Line t || Line v the  value of angle m∠5  is 69.28° .

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Plot the following points in a coordinate plane. (-5, 2), (-4, 0), (-3, -2), (-2, -4) Connect the points with a line. Name another point on the line. Is that point (1, -2) on the line? How do you know? If (1, -2) is part of the relation, is it a function? Why or why not?

Answers

Answer:

Step-by-step explanation: Can u please help me with my questionnn

Ted has started an 401k. His current income tax bracket is 30%. He is saving $172 a month by putting it into his 401k. Find how much income tax will Ted delay in paying every month by putting his money into an 401k. How much will Ted's take home pay decrease each month?

Answers

Income tax will Ted delay in paying every month by putting his money into a 401k is $51.6.

Income taxes are levied against individuals or groups based on their earnings or profits. Income taxes are normally calculated by multiplying tax rates by taxable income. Depending on the characteristics of the taxpayer and their source of income, tax rates may vary.

Ted started a 401k account.

The income tax bracket is 30%.

Ted's saving $172 every month in a 401k account.

The income tax that Ted will delay in paying every month will be:

= 172 × 30%

= $51.6

Hence, Ted's take-home pay will decrease by $51.6 each month.

The tax Ted will delay in paying every month is $51.6.

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Which of the following is an irrational number? A ㅠ B 0.16 C 2.53 D -1/5 ​

Answers

Answer:

[tex]\pi[/tex]

Step-by-step explanation:

If a number can be written as an integer/integer in a fraction form or in a decimal form as a terminating or repeating decimal, it is rational.  An integer is a set up numbers that fall into this pattern:

...-3,-2,-1,0,1,2,3...

0.16 is a terminating decimal or 16/100 as a fraction.

2.53 is a terminating decimal or 253/100

-1/5 can be written as a decimal at -0.2 and it terminating.

Will give 20 points please help 1. Refer to Expression 1 and Expression 2.
Expression 1
42-6-8-3+2³
Expression 2
720+2+7.23
(a) What is the value of Expression 1?
(b)Insert parentheses in Expression 2 so that it has a value of 2936. Then
show why your expression has a value of 2936.
Answer:

Answers

The value of the expression 1 (42 - 6 - 8 - 3 + 2³) will be 33. Then the value in the parentheses will be 2206.77.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression 1 is given below.

⇒ 42 - 6 - 8 - 3 + 2³

Then the value of the expression 1 will be

⇒ 42 - 6 - 8 - 3 + 2³

⇒ 42 - 6 - 8 - 3 + 8

⇒ 33

The expression 2 is given below.

⇒ 720 + 2 + 7.23

Insert parentheses in Expression 2 so that it has a value of 2936. Then the value in the parentheses will be

720 + 2 + 7.23 + (x) = 2936

729.23 + x = 2936

x = 2206.77

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29 POINTS IF YOU CAN HELP ME!!!!!!!!!!!!!!!!!!!! A Striped bass is swimming at an elevation of −3 feet, while a flounder is swimming at an elevation of −11 feet. Write and interpret a statement of the order showing the elevation of the striped bass compared to the elevation of the flounder. (1 point)

Responses


A, −3 < −11; the flounder is at a higher elevation than the bass.




B, −3 > −11; the bass is at a higher elevation than the flounder.

.


C, −3 > −11; the flounder is at a higher elevation than the bass.



D, −3 < −11; the bass is at a higher elevation than the flounder.

Answers

The correct option is,

⇒ −3 > −11; the bass is at a higher elevation than the flounder.

Option B is true.

What is Elevation?

Elevation is distance above the sea.

Given that;

A stripes bass is swimming at an elevation of −3 feet.

And, A flounder is swimming at an elevation of −11 feet.

Clearly, The bass is at higher elevation than the flounder.

So, -3 > -11

Hence, The correct option is,

⇒ −3 > −11; the bass is at a higher elevation than the flounder.

Option B is true.

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Need help on this text pt.3

Answers

The value of x is 10.

Option C is true.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

x/7 = 3x + 20/ 35

Now, We can solve as;

x/7 = 3x + 20/ 35

Multiply 35 in both side,

35 × x/7 = 35 × (3x + 20)/35

5x = 3x + 20

Subtract 3x both side,

5x - 3x = 3x + 20 - 3x

2x = 20

Divide 2 both side,

x = 10

Hence, The value of x is 10.

Option C is true.

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This is due tomorrow. +10 points

The fitness center requires its swimming pool to be within 2 degrees of 85 degrees Fahrenheit.


a.) Which inequality can be used to find the least and greatest temperatures that meet this requirement? Use the inequality to find these temperatures.


A x − 85 ≤ 2


C |x−85|≥2start absolute value x minus 85 end absolute value is greater than or equal to 2


B x − 2 ≤ 85


D |x − 85| ≤ 2


b.) The least allowable temperature is ____ degrees Fahrenheit.


The greatest allowable temperature is ____ degrees Fahrenheit.

Answers

The inequality that can be used to find the least and greatest temperatures that meet this requirement is D. x − 2 ≥ 85

The least allowable temperature is 83° degrees Fahrenheit.

The greatest allowable temperature is 87 degrees Fahrenheit.

How to illustrate the inequality?

From the information, the fitness center requires its swimming pool to be within 2 degrees of 85 degrees Fahrenheit.

In this case, the inequality that can be used to find the least and greatest temperatures that meet this requirement is D. x − 2 ≥ 85.

The least allowable temperature is:

= 85 - 2

= 83° degrees Fahrenheit.

The greatest allowable temperature is:

= 85 + 2

= 87 degrees Fahrenheit.

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help please i need this for homework

Answers

Answer:

It costs 50

Step-by-step explanation:

I think this is right

Consider a cookie recipe in which 1½ cups of chocolate chips are needed to make 25 cookies. Lara wants to double the number of cookies. How many cups of chocolate chips should she use?

Answers

The number of cups of chocolate chips she should use is 3 cups.

How to find the cups of chocolate chips that should be used?

Consider a cookie recipe in which 1½ cups of chocolate chips are needed to make 25 cookies.

She decided to double the number of cookies.

Therefore,

Remember she wants to double the size of cookies,

25 cookies =  1½ cups of chocolate chips

2(25 cookies) = ?

cross multiply

number of cups of chocolate chips required = 50 × 1.5 / 25

number of cups of chocolate chips required = 75 / 25

number of cups of chocolate chips required = 3 cups

Therefore, the number of cups of chocolate chips she should use is 3 cups.

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Which expression is equivalent to (4x−3y4)−2?

negative quantity 16 times x raised to the sixth power end quantity over y raised to the eighth power
−16x6y8
1 over quantity 16 times x raised to the sixth power times y raised to the eighth power end quantity
x raised to the sixth power over quantity 16 times y raised to the eighth power end quantity

Answers

The equivalent expression to (4x−3y⁴) × −2 will be = -8x + 6y⁴.

How to calculate the value?

It should be noted that the information is to calculate the equivalent expression to (4x−3y⁴) × −2.

This will be:

= -2(4x−3y⁴)

= -8x + 6y⁴

It should be noted that the equivalent expression will be = -8x + 6y⁴.

It should be noted that the options aren't written properly but the question has been solved.

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what is -5/12 x 8/13 in its simplest form

Answers

Answer:

-10/39

Step-by-step explanation:

I Think that thats the anwser i hope this helps.

Explain the difference in meaning |-3| and -3

Answers

Answer: |-3| is actually just positive 3 because when its in those lines it means absolute value. and -3 is just -3, but if it was in those lines then that just means its the positive of that number.

Step-by-step explanation:

The perimeter of the rectangle below is 48 units. Find the length of side AB. Write your answer without variables.

Answers

The value of the variables are x is 5. and AB is 10

Given, the sides of the rectangle are:

length = 2x ₊ 2 and

breadth = 3x ₋ 2

perimeter of the rectangle = 48 units

2(l ₊ b) = 48

2(3x ₋ 2 ₊ 2x ₊ 1) = 48

2(5x ₋ 1) = 48

10x ₋ 2 = 48

10x = 48 ₊ 2

10x = 50

x = 50/10

x = 5

therefore, length = 2x ₊ 1 = 2(5) ₊ 1 = 11 and

breadth = 3x ₋ 2 = 3(5) ₋ 5 = 10

hence we get the value of x as 5

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One number is seven more than six times another number. If the sum of the numbers is 28, find the numbers

Answers

The value of the numbers x and y is a 3 and 25.

According to the statement

We have to find that the value of the numbers.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

One number is seven more than six times another number. If the sum of the numbers is 28.

Then

Let The first number = y

The second number = x

Hence, y = (7 + 6x)

Their sum is therefore;

x + 7 + 6x = 28

7x = 21

x = 3

Hence, the second number is a; 7 + 6x = 7 + 6(3);

y = 25.

So, The value of the numbers x and y is a 3 and 25.

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You buy 3.18 pounds of grapes, 1.45 pounds of peaches, and 2.76 pounds of oranges. Each pound of grapes cost 1.29, each pound of peaches cost 1.19, and each pound of oranges cost 0.99. What is my total bill?

Answers

$8.55

Grapes: 3.18lbs x $1.29/lb = $4.10

so on and so forth

A wireless carrier offers the following plans that a person is considering.
The Family Plan: $90 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $30 for each device for up to 2 GB of data per device.

The Mobile Share Plan: $110 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $15 for each device up to a shared total of 10 GB of data.
Find the model of the total cost of the Family Plan in dollars. Use P for the number of devices that need data plans as part of their cost.

Answers

The model of the total cost of the Family Plan will be 90 + 30P.

How to illustrate the information?

It should be noted that Family Plan has $90 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $30 for each device for up to 2 GB of data per device.

Therefore, the model will be:

= 90 + 30P

where p = number of devices

In conclusion, the model of the total cost of the Family Plan will be 90 + 30P.

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a cat ’s heart beats approximately 45 times in 15 seconds. At this rate how many times does the cat ’ s heart beat per second ?

Answers

Answer:

3 heartbeats

Step-by-step explanation:

The cat's heartbeats are 45 per 15 seconds.
To find out how many heartbeats it does per second (instead of 15), we should divide this amount by 15.

[tex]\frac{45}{15} \to 3[/tex]

Answer:

Step-by-step explanation:

45beats/15sec = 3beats/sec

The Office Supplies account started the year with a $3,225 balance. During the year, the company purchased supplies for $13,319, which was added to the Office Supplies account. The inventory of supplies available at December 31 totaled $2,838.

Answers

Based on the beginning office supplies balance, the supplies purchased by the company, and the supplies available at December 31, the journal entry for supplies is:


Date              Account title                                           Debit          Credit

XX-XX           Office supplies expense                      $14,131

                      Office supplies                                                       $14,131

What is the supplies expense?

The supplies expense can be found as:

= 3,225 + 13,319 - 2,838

= $13,706

This supplies expense will be debited to the office supplies expense and credited to the office supplies account.

Question:

Record the entry to the Office supplies account

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The depth of a local river averages 16 ft, which is represented as |−16|. In January, it measured 4 ft deep, or |−4|, and in July, it was 18 ft, or |−18|. What is the difference between depths in January and July?

22 feet
14 feet
10 feet
2 feet

Answers

The difference between depths in January and July is 14 feets

The depth of a local river averages 16 ft., which is represented as |−16|.

In January,  The depth of a local river measured 4 ft. deep, or |−4|

in July, The depth of a local river  18 ft., or |−18|

The average depth of a local river  is measured as -16 because it is below the ground level and hence measured or plotted on -y axis

the difference between depths in January and July can be measured as

|−18| -  |−4|

This is absolute sign which means every number inside this sign should be treated as positive

18 - 4 = 14

Hence, the difference between depths in January and July is 14 feets

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(a) A cylindrical glass jar whose height is 7 inches and whose diameter is 4 inches. Find the
capacity of the jar.

Answers

The volume of the glass jar is 87.96 cubic inch.

What is volume?

Volume is a unit used to express how much three-dimensional space is occupied. It is usually represented quantitatively in different imperial measures, such as the gallon, quart, and cubic inch, or in SI-derived units like the cubic meter and liter. The cubic concept of length and volume are connected.

Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it may occupy in three dimensions.

The capacity of the jar is calculated as

Volume of cylinder = [tex]\pi r^{2}h[/tex] = [tex]\pi (2^{2})7[/tex] = [tex]28\pi[/tex] = 87.96 cubic inch.

Hence the capacity of the glass jar is 87.96 cubic inches.

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inverse of g(x)=2x^3+3

Answers

f-1(x) = (x - 3) / 2

One month Pablo rented 5 movies and 3 video games for a total of $39. The next month he rented 2 movies and 12 video games for a total of 75 . Find the rental cost for each movie and each video game.

Answers

we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

Let the cost of number of movies be x and the cost of number of video games be y.

So, the equations are:

5 x + 3 y = 39

2 x + 12 y = 75

2 x = 75 - 12 y

x = 75/2 - 6 y

Put it in the first one, we get that:

5 ( 75/2 - 6y) + 3y = 39

375/2 - 30 y + 3 y = 39

27 y = 187.5 - 39

27 y = 148.5

y = 148.5 / 27

y = $ 5.5

x = 75/2 - 6 y

x = 37.5 - 6 (5.5)

x = 37.5 - 33

x = $ 4.5

Therefore, we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

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(b) A shopkeeper gave a bill to a customer. The bill was in two digits but was mistakenly interchanged thereby undercharging the customer by $45.00. If the sum of the digits is 9, find the actual value of the bill.​

Answers

The actual value of the bill can either be $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bill.

A digit is a part of a set that, when taken as a whole, makes up a numeration system. A digit is a number in that particular circumstance. The members of the set 0 through 9 make up the digits of the decimal (base-10) Arabic numbering system.

The bill of the customer was mistakenly interchanged by $45.

The sum of the two digits of the bill is 9.

Now,

9 = 9 + 0 or,

9 = 8 + 1 or,

9 = 1 + 8 or,

9 = 5 + 4 or,

9 = 2 + 7 or,

9 = 7 + 2 or,

9 = 3 + 6 or,

9 = 6 + 3

Therefore, $45 bill can be mistakenly interchanged by $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bills.

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1.) You need 13 flower arrangements for table decorations. Each arrangement sells for $12.25. How much will you spend on flowers?​

Answers

Answer:

159.25

Step-by-step explanation:

you just have to multiply 13 by 12.25

Michael used a stopwatch to time the baseball pitches for three of his friends.Order from least to greatest.
Pete:0.537
Ivan:0.58
Kat:0.4996

Answers

Answer:

this is called as ascending order, it is when numbers are arranged from least to greatest

here is the answer:

ivan:0.58

pete:0.537

kat:0.4996

Step-by-step explanation:

so you have to look at the nmbers and how many digits they have for example,

ivan's number has 3 digits so its the least

kat has 5 digits so its the greatest

Evaluate 3 + 2(x + 5)² for x = -2.
OA. 18
OB. 45
OC. 21
OD. 11

Answers

Answer:

The answer is C

Step-by-step explanation:

If you substitute -2 for x, then you get

3+2(-2+5)^2

so first we have -2+5, which is 3.

Then we hae 3^2, which is 9.

Then we have 9*2, which is 18.

Then we have 18+3, which equals 21.

Answer:

21

Step-by-step explanation:

The answer is 21

Hope this help you..

3/4(6x + 2) = 15

Help me please

Answers

answer: x = 3

Step by step:
Start by distributing 3/4 into everything inside the parentheses giving you
4.5x + 1.5 (hint, turn your fraction into a decimal)
Now take that and recreate the equation
4.5x + 1.5 = 15
Now subtract 1.5 from each side to get the x by itself
4.5x = 13.5
Now divide each side by 4.5 to get rid of x’s coefficient
X= 3


16=3(7y+14)-21y solve for y then solve for x

x=7y+14

Answers

Answer:

I got y= no solution

Step-by-step explanation:

Hope this helps and sorry if I'm wrong

Find sin 0 and tan 0 if cos 0= 5/13, assuming that
[tex]0 \leqslant 0 < \ \frac{\pi}{2} [/tex]




Answers

sin( θ) = 12/13 and tan( θ) = 12/5.

sin θ, cos θ, tan θ are the three important trigonometry functions.

If θ lies in the first quadrant that is 0 ≤ θ < π/2, then the value of all trigonometry functions is positive.

The three most significant trigonometry functions are sin θ, cos θ, and tan θ.

If θ is located in the first quadrant, which is equal to θ/2, then all trigonometric functions have positive values.

The three important trigonometry identities are:

sin²( θ ) + cos²( θ ) = 1

1 + tan²( θ ) = sec²( θ )

1 + cot²( θ ) = csc²( θ )

Now we have,

cos θ = 5/13

Then,

sin²( θ ) + cos²( θ ) = 1

sin²( θ ) + ( 5/13 )² = 1

sin²( θ ) + 25/169 = 1

sin²( θ ) = 1 - 25/169

sin²( θ ) = ( 169 - 25)/ 169

sin²( θ ) = 144/ 169

sin( θ ) = √( 144/ 169 )

sin( θ ) = ± 12/13

Since, 0 ≤ θ < π/2

sin( θ ) = 12/13

Now we know,

tan(θ) = sin(θ) / cos(θ)

tan(θ) = ( 12/13 ) / ( 5/13)

tan(θ) = 12/5

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#10Mr. Oliveros buys tickets to take theaterstudents to a play. Mr. Oliveros spends $45.00in all. He spends $10 for his ticket and spendsthe rest on student tickets. Each student ticketis $2.50. How many student tickets does Mr.Oliveros buy? Fill in the blanksA=P e rt is known as the ______ formula. What is the purpose ofEquiano's narrative andwhat persuasivetechniques does he use toserve this purpose? Observations that people may actually process and manipulate information rather than simply store it for brief periods of time challenged the conceptualization of. How do I graph y+4=5x? are their final velocities necessarily equal? explain. yes, the final velocity is the instantaneous velocity at the moment a sprinter crosses the fini a father is 4 times as old as his son. in 20 years the father will be twice as old as his son. find the present age of each. An accepted scientific theory is a hypothesis that has been confirmed by considerable evidence and has endured all attempts to disprove it. a. true b. false What is the EXPRESSION after applying the distributive property? -0.4 (-2 + (-9))30 points Multiply the number 4 by . Add 6 to the product. Divide this sum by 2. Subtract 3 from the quotient. 1st number is 1 the result is how many minutes passed in between the south tower's evacuation order and the crash of flight 175 into south tower?A) thirtyB)twentyC)tenD) one The proteins that establish ionic gradients are called:____. a. passive transporters. b. active transporters.c. voltage-gated ion channels. d. ligand-gated ion channels. e. permeability transition pores. Let g(x)=6-4 x b. What is the inverse of g ? Which graph represents a function? a savings account recieves 12% simple interest p.a. how long would it take for 30000 to gain 7200 in interest chloe is 5 feet 4 inches tall. there are 2.54 centimeters in 1 inch. what is chloe's height in centimeters? 4. Function f is defined by f(x) = 2x - 7 and g is defined by g(x) = 5*.a. Find f(3), f(2), f(1), f(0), and f(-1).1325104b. Find g(3), g(2), g(1), g(0), and g(-1). HELP ITS DUE TOMORROW PLSS HELPP The ways in which taxi drivers consider to important part A(n) _____ surface in an orthographic view shows the actual surface withits depth contracted.