Royce is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is doubled. The paper starts out flat, with a thickness of 2 millimeters.

A. Write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. Explain how you came up with your ordered pairs.
B. Is this relation a function? Explain why or why not using the ordered pairs you came up with in Part A.

(Answer to get 50 pts and brainly)

Answers

Answer 1

Answer:

A.

(0, 2) (1,4) (2,8) (3,16) (4,32) (5,64)

We start with (0,2) because before it's folded it has a thickness of 2mm. each consecutive fold doubles the y value.

B.

Yes it is a function because no x value is repeated

Answer 2

The list of six ordered pairs are {(0, 2), (1,4), (2,8), (3,16), (4,32), (5,64)}, and it is a function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Royce is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is doubled.

Let y be the total thickness and x be the number of folds:

[tex]\rm y = 2^{x+1}[/tex]

Plug x = 0, 1, 2, 3, 4, 5,

Wea  get list of six ordered pairs:

= {(0, 2), (1,4), (2,8), (3,16), (4,32), (5,64)}

This is an exponential function that passed the vertical test, it is a function.

Thus, the list of six ordered pairs are {(0, 2), (1,4), (2,8), (3,16), (4,32), (5,64)}, and it is a function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ5


Related Questions

find the ratio if it is given that ...

1) 6a-3b=5b

2) a+b=3a

3) 2a-3b/5 = a+b/2

Answers

Here is the answer to your question as This is the way I think it is solved
I agree with the person on top up

PLEASE HELP ASAP!
Consider the 720 permutations of the numbers 1, 2, 3, 4, 5, 6. In how many of these permutations do exactly 3 of the numbers end up in the positions where they started?

Answers

The set {1,2,3,4,5,6} has a total of 6! permutations

a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.

b. The next 120, including the 124th, would begin with 2.

c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1

d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3

e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).

Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).

∴ The 124th number is 213564

Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.

The set {1,2,3,4,5,6} has a total of 6! permutations a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit. B. The next 120, including the 124th, would begin with 2. c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1 d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3 e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 ​​(numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126). Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and

what angles are adjacent to 10 ? select all that apply

Answers

Answer:

15 & 1

Step-by-step explanation:

The angles are adjacent are not yes by tracking
The answer is 15 and 1

A square pyramid. The square base has side lengths of 5 feet. The 4 triangular sides have a base of 5 feet and height of 6 feet.
What is the surface area of a pyramid with a base area of 25 ft2 and lateral faces each with areas of 15 ft2?

Answers

Answer:

85 ft^2

Step-by-step explanation:

Ok, the square base area is 5 x 5 = 25 square feet

the triangular sides have an area of (1/2)(5)(6) each, which is 15 square feet each, like you said.

To find the total surface area, you multiply the 15 square feet x 4 (there are 4 sides) and add the base.

15 x 4 = 60 + 25 = 85 square feet

85 ft __________



hope it helps :)

Question 4 (Yes/No Worth 1 points)
(02.01 LC)
Is the following relation a function?
х y
6 -1
-1 2
4 3
0 3

Answers

Answer:

no, I don't think so.

Step-by-step explanation:

sry if I'm wrong I'm still learning

no it’s not a function

HELP ASAP 30 POINTS WORTH !!!!! OωO

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Answers

Answer:

A because (0,-6) is the y-intercept so you start at the point you know. Then because slope is a rise over run fraction the slope can also be written as 2/1 which is rise 2 over 1.

Step-by-step explanation:

w

Answer:

A, cuz (0,-6) is the y-intercept. You start at the point that is familiar to u. Then cuz slope =  rise over run, simplify the slope which is 2/1.

Example Given


Find a or b

a = 20. b = ? c = 25



Find b or a. c^2 - a^2 = b^2



25^2 - 20^2 = c^2

625 - 400 = 225

Square Root of 225 is 15


QUESTION

a = 3 b = 4 c = ?

Answers

the answer is 5

a^2+b^2=c^2
9+16=25
sq root of 25 is 5

Answer:

the answer is 5

Step-by-step explanation:

which angle is adjacent to 9 ?

Answers

Adjacent means next to, so 12

Answer:

its the last one 12

Step-by-step explanation:

can someone help with this simple question? giving out brainliest!

Answers

Rory would finish reading first, I’ve done the math for you ^^
Rory would finish first!
To find the amount of pages they read you divide the amount of pages by the time
140/5 = 28
200/7.5 = 26.6
To find how long it would take them you take the number of pages they need and divide it by there average amount of pages per hour
350/28 = 12.5 hrs
350/26.6 =13.2 hrs
Therefore, Rory finished first

Hey PLZZZZ HELP!

The profits earned in a year by some companies in a city are shown below: Company Profit A $160,000 B $140,000 C $130,000 D $1,120,000 E $150,000 Based on the data, should the mean or the median be used to make an inference about the profits earned by these companies? Mean, because it is in the center of the data Median, because it is in the center of the data Mean, because there are no outliers that affect the mean Median, because there is an outlier that affects the mean

Answers

Answer:

mean because there is an outlier

Step-by-step explanation:

since there is an outlier that affected the mean which is company D, it can only be mean because the outlier is too big.

Mean. It gives a better idea of the profits.

How do I solve this?

Answers

Answer:

We know the width maybe 22ft and at its widest.

IF we say 3 triangles can be fit into a polygon given 2 sides then we 180 x 3 = 560 degree if its 3 rectangles then if it is easier to make 4 rectangles if square shape we can subtract the smaller measures of the missing rectangle.

With triangles;

The number of triangles is always 2 less than that that of its sides.

= 3 triangles + 2 = 5 sides.

The sum of interior angles

(n-2) x 180 = 540 degree

5-2 x 180

To determine the amount of sides; we remember

(n-2) 180

360 = (n-2) 180

+360 = 180 -360 +180

+360 = 180 = (3 triangles with 180)

900/180 = 5 sides.

If we say 5 triangles created with 3 given lengths

then same rule applies n-2 (180)

=7 sides

= if regular shape largest line 22 x 7 = 154 ft sq = Area.

Answer:

374

Step-by-step explanation:

First do the area of the triangle 7 x 22 = 308 308/2 = 154 22 x 10 = 220 220+154 =374

HELP ME ASAP!!! Tristan is stacking building blocks to make a tower. He takes a break when the tower is 5 2/5 feet tall, which is 1/3 of the height of the tower he wants to build. How tall is the tower when finished? Check all that apply

A. 1/3 x ? = 5 2/5

B. 1/3 ÷ 5 2/5 = ?

C. 5 2/5 x ? = 1/3

D. 5 2/5 x 1/3 = ?

E. 5 2/5 x 3/1 = ?

F. 5 2/5 ÷ 1/3= ?

Answers

Honestly, I'm not sure how to answer this, but I think this can help you.

Well if 5 and 2 fifths is one third of the total height of the building, then that means to find the total height of the building you need to times 5 2/5 by 3.

(I think F is an answer)

The answer is E, they use the formula 5 2/5 x 3/1 which means that they need 3 wholes of the original 5 2/5.

Which of the following is equal to 2?


Answer choices:

A. 6 + 4 divided by (2 + 1) x 3

B.(6 + 4 divided by 2) - 1 x 3

C.6 + (4 divided by 2) + 1x3

D.(6 + 4) divided by 2 - 1 x 3


NO LINKS!!!!

Answers

Awnser is A 6+4 divided by [2+1]x3
Answer A because 6+4 divided by (2+1)x3 is 2

Please answer correctly

Answers

Answer:

9 x 10 x 7 and 9 x 4 x 5

Step-by-step explanation:

I explained in the other question you asked

Answer is 1-4-7-&-&-9-5-

in a three digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. If the hundreds digit of the number is x, the equation will be? 20 Points to solve and brainliest.

Answers

Answer:

I am not sure, but I think 362 is the answer

Step-by-step explanation:

hundred digit:x

tens digit:2x

ones digit:x-1

x+2x+x-1=11

4x=12

x=3

number=362

362 is the answer because i learned this yesterday

ALGEBRA 1 HOMEWORK- I NEED HELP ASAP!!! thank you!!!!

Answers

i’ll try working it out, if i don’t answer then i didn’t get the answer.
i tried working it out but i couldn’t do it i hope someone else can help you

X,Y and Z are three points on a unit sphere (i.e. a sphere with radius 1). The space
distance between any pair of the three points is √2 . An ant can only
crawl on the surface of the sphere. The ant starts from point X, passes through points Y and Z, and then returns to X. What is the shortest possible distance of this trip?

Answers

Answer:

The shortest possible distance is 5/3*pi.

Step-by-step explanation:

Answer:

The shortest possible distance is 5/3*pi.

Step-by-step explanation:

please help me with the questions below

Answers

Answer:

2) 3/4 of the girls did not have 1 piece bathing suits

3) 4/6 were at the kiddie pool

4) 1/3 was boys

sorry if this was wrong

3/4 of the girls did not have a bathing suit. Since 1/4 of the girls did that would leave 3 out of the four left.

im failing math rn and really need help so pls help. Find the value of xin the triangle shown below.

Answers

Answer:

x = 10

Step-by-step explanation:

Pythagorean Theorem = a² + b² = c²

6² + 8² = c²

36 + 64 = c²

100 = c²

c = 10

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

10

Step-by-step explanation:

pythagorean thereom

6^2 + 8^2 = c^2

100 = C^2

c = 10

Please help screen shot bellow.

Answers

-1/4

This will remain its absolute value

Answer:

absolute value is the oppistie of the number so if it is positive is will turn negative so i think the answer is C

A. Plot points that show the volume when r=1, r=2, r=3, and .r=4.
B. Show your reasoning.

Answers

Answer:A. Plot points that show the volume when r=1, r=2, r=3, and .r=4.

Step-by-step explanation:

Step-by-step explanation:

we need to know what the plot points are following, or what rule there is

Help with math earn 10 points

Answers

Answer:

2 I think

Step-by-step explanation:

It is 2 (Unnecessary Stuff)

If an impulse travels 100 m/s, about how long will it take the impulse to travel 10 meters?

Answers

Answer:

0.1 seconds

Step-by-step explanation:

10/100=0.1

Answer:

1/10th of a second or .1seconds

Step-by-step explanation:

100m/s meaning its traveling 100 meters a second.

Since its going to travel 10 meters, it will take 1/10 the time since 10/100 = 1/10

The time is in seconds so it will take them 1/10th of a second.

Please help!!!!!!!!!!!!!!!!!!!!

Answers

1. Corresponding

2. Angle 8
the first one is corresponding
the second one is angle 8

plzzzz help..and give steps plzzzzzzzz

Answers

A-Y=5 less than twice X
B- (2,5), (4,4), (6,3), (8,2)
C- 5/2X-4
D- 3/2X-1

graph each answer choice and look at the slope of the line rise/run
the equation for answer choice A
is Y=5-(X•2)
the equation for answer choice B is
Y=-1/2X+6
the equation for C is Y=5/2x-4
and the equation for D is Y= 3/2X-1
the slope of A is -2/1
the slope for B is -1/2
the slope for C is 5/2
the slope for D is 3/2
the answer with the greatest slope is
5/2 the answer is C
The diagram shows two four five ten people that need to eat some drinks

Find the volume of the prism. Write your answer as a fraction.
V= cm3

Answers

v= 5/96 cm3

explanation
V=5/96cm3 trust me I know

helpppp plzzz...plz give steps

Answers

Answer:

Volume of hemisphere =

[tex] \frac{2}{3} \pi \: r {}^{3} [/tex]

Given volume =

[tex]18\pi \: cube[/tex]

[tex] \frac{2}{3} \times \frac{22}{7} \: {r}^{3} = 18 \times \frac{22}{7} [/tex]

So pi is there on both the sides so it will be cut from both LHS and RHS

[tex] \frac{2}{3} \times r {}^{3} = 18[/tex]

[tex]2 \times r {}^{3 } = 18 \times 3[/tex]

[tex]2 \times r {}^{3} = 54[/tex]

[tex]r {}^{3} = \frac{54}{2} [/tex]

[tex]r {}^{3} = 27[/tex]

[tex]r = 3[/tex]

Therefore value of r=3 inches

If you are helped with my answer pls tag me brianliest I really want it... Plzz

THANK YOU

R=3 inches that’s the answer

For each pair of points, think about the line that joins them.

For which pair(s) is the line parallel to the x-axis?

Select all correct answers.

Answers

Answer:

fd

Step-by-step explanation:

spañol

Answer:

The answer might be number b

Just need to know the unit rates ! Will make brain !!

Answers

Answer:

bar bar bar bar bar barar bavr

1.25
7.5
8
I hope this helps

which angles are complementary to each other ? select all that apply

Answers

Answer: angle 4 and angle 5

Complementary angles, if added together, make a right angle or 90* angle
The answer is 4> and 5> both of them added is a 90 degree angle, and for a supplementary angle the angles will add up to 180 degrees
Other Questions
Sally Fuller is a buyer for GWA publishing company. Her job is to purchase supplies and services for the printing of technical manuals. Her brother sets up a printing company, and Sally hires him to print most of these manuals for GWA. However, rather than actually printing the manuals, her brother hires another printer to do the work, then sells the printed manuals to GWA at a 50 percent markup. As a result, his prices are much higher than the other printers who serve GWA. This type of scheme is most likely a: Group of answer choices A company estimates that 8% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $300. If they want to offer a 2 year extended warranty, what price should they charge so that they'll break even (in other words, so the expected value will be 0) Write an inequality for the situation. all real numbers y that are less than 4 or greater than 9y < 4 or y > 94 < y < 9y < 4 or y < 9y < 9 or y > 4 I need help with my geometry work! Find a round to the nearest tenth a 150 12 10cm c a=?cm The invention of the cotton gin increased the need for slave labor. true or false If the velocity of a can increases from 30 ms-1 to 90 ms -1, the kinetic energyincreases bya. 8 timesb. 9 timesc. 7 timesd. 6 times consulta 2 aspectos culturales de la India y la de hoy A train increases speed from 10 m/s to 20 m/s. What is the average speed while increasing the speed? And how far dies it travel while increasing the speed? A chemist requires a large amount of 3-bromo-3-methyl-1-cyclohexene as starting material for a synthesis and decides to carry out the following NBS allylic bromination reaction in the presence of UV light. Draw the structures of all of the observed products. Work out the volume of this cylinder. Give your answer rounded to the nearest whole number. What happens to a person's center of gravity once they achieve a proper athletic stance? The center of gravity will ctividad 1:Las edades de un grupo de nios son: 5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8Determina las Medidas de Centralizacin (Media, Mediana y Moda) y las medidas de Dispersin (Desviacin media y Desviacin estndar).necesito ayuda The average marks for 25 students in a mathematics was was 48. what was the total marks scored by the students?A student who scored 84 marks was absent.what was would be the average of the remaining students? Will give brainliest Please help me and write an outline for my alternate answer at the end of this assignment ( btw a shul is a synagogue) Question in photo pls help me The downward slope of the demand curve again illustrates the pattern that as _____________ rises, ______________ decreases. At the start of Part II, Jackie's family moves to Greenville, South Carolina to live with her grandparents. Describe Jackie's relationship with Grandma Georgiana and Grandpa Gunnar. Which diagram arranges the types of business organizations from the mostowners to the fewest owners?O A. PartnershipSole proprietorship CorporationB. Corporation Sole proprietorship PartnershipO C. Corporation Partnership Sole proprietorshipO D. Sole proprietorship Partnership CorporationW SUBMIT why you think most victims do not report gender based violence?