Hi, whoever answers this accurately earns the brainiest.

This table shows the average cost of a gallon of gas each year for the past 8 years.

Use the data from the table to create a scatter plot.

Hi, Whoever Answers This Accurately Earns The Brainiest.This Table Shows The Average Cost Of A Gallon
Hi, Whoever Answers This Accurately Earns The Brainiest.This Table Shows The Average Cost Of A Gallon

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

All you need to do is plot the coordinates on the plot.

ex (1,2); (2,2); (3,3) etc.

Answer 2

See attached screenshot

Hi, Whoever Answers This Accurately Earns The Brainiest.This Table Shows The Average Cost Of A Gallon

Related Questions

Normalmente, el concepto griego "logos" se entiende como la máxima expresión de la cultura racionalista occidental, fundada por las primeras escuelas de filosofía clásica. De hecho, el nombre de las disciplinas científicas provienen de él: biología, filología, psicología, tecnología, etc. No obstante, el concepto "logos" no tiene un significado tan abstracto, puesto que involucra tanto el pensamiento como la acción, tanto lo interno como lo externo, tanto la idea mental como el decir la palabra. Tema:_________________________________________________________ Idea Principal: ___________________________________________________

Answers

Concept: "Logos" has greatly affected Western philosophy and a variety of scientific disciplines. Acknowledgement: the interaction between logical reasoning and empirical observation as well as the influence of language and discourse worldview.

For the concept:

Topic: The significance of the Greek philosophical idea of "Logos" in contemporary scientific disciplines.

Greek philosophy's basic idea of "Logos" has had numerous interpretations throughout history. The word "logos" is most commonly used to refer to reasoned discourse and language. It is frequently linked to human conversation and reasoning as well as the cosmic or divine principle that creates and sustains the universe.

The significance of "Logos" can be observed in its impact on contemporary scientific disciplines, including, but not limited to, biology, psychology, and technology. For instance, the word "biology" is derived from the Greek terms "bios" (life) and "logos" (word or reason), illustrating the notion that the study of life necessitates both practical observation and logical analysis.

Parallel to this, the scientific discipline of psychology, which examines how the human mind and behaviour function, gets its name from the Greek words "psyche," which means "soul," and "logos," which means "reason." This illustrates the notion that both empirical research and theoretical analysis are necessary for the study of the mind and behaviour.

Learn more about concept here:

https://brainly.com/question/31038302

#SPJ4

Translation: The first schools of classical philosophy founded by the Greek word "logos" are widely understood as the apex of Western rationalist culture. In actuality, he is the one who gave the titles of numerous branches of science, including philology, psychology, technology, and biology. The idea of "logos" does not have such an abstract meaning because it involves both internal and exterior mental and physical actions, as well as the mental idea and word pronunciation. Topic: Main Idea:

119. What is the linear equation for the pricing formula for Logan's Paint? One gallon cost $11 (1,11) and 5 gallons cost $35 (5, 35).​

Answers

The linear equation is y = 6x + 5

Define the term equation?

A statement that shows the equality of two mathematical expressions is known as an equation. The goal is typically to ascertain the values of the variables that keep the equation true, and it may have one or more variables. In that both sides must be equal for an equation to hold true, it might be likened to a balance scale.

To find the equation for the pricing formula, we can use the slope-intercept form of a linear equation:

y = mx + b

where y is the cost, x is the number of gallons, m is the slope (i.e., the rate of change of the cost per gallon), and b is the y-intercept (i.e., the cost when x = 0).

Using the given information, we can calculate the slope:

m = (35 - 11) / (5 - 1) = 24 / 4 = 6

The y-intercept can be found by plugging in one of the points:

11 = 6(1) + b

b = 5

Therefore, the linear equation for the pricing formula for Logan's Paint is:

y = 6x + 5

where y is the cost in dollars and x is the number of gallons.

To know more about linear equation, visit:

https://brainly.com/question/12788590

#SPJ1

Find the exact side length of a square with an area of 9/49 square meters.

Answers

Answer:

3/7 meters

Step-by-step explanation:

[tex] \sqrt{ \frac{9}{49} } = \frac{ \sqrt{9} }{ \sqrt{49} } = \frac{3}{7} [/tex]

a company received a shipment of 30 laser printers, including 6 that are defective. 3 of these printers are selected to be used in the copy room. (a) how many selections can be made?

Answers

We have to calculate the number of combinations of 3 laser printers that can be selected from the 30 shipped. In this case, the number of possible combinations is 4060.

The combination can be calculated using the formula

ⁿCr = n! / r! (n-r)!

Where n is the total number of items and r is the number of items chosen. In this case, n is 30 and r is 3.

³⁰C₃= 30! / (3! * (30-3)!) ⇒ 30! / (6 * 24)

⇒ 30 * 29 * 28 / 6

⇒ 4,060

Therefore, the answer is 4060 possible combinations of 3 laser printers that can be selected from the 30 shipped.

To know more about the "combinations": https://brainly.com/question/4658834

#SPJ11

Question
Julio buys a salad and a container of yogurt. These bills and coins represent the cost of each item.

How much did Julio spend in all?

Answers

The total amount Julio spent on a salad and a container of yogurt in the form of note and coin is equal to $6.38.

To determine how much Julio spent while buying  a salad and a container of yogurt, we have to multiply the value of each notes into their quantity then add all of them.

Number of 25 cents coins = 4

⇒ 4×0.25 = 1.00

Number of 5 dollar note = 1

⇒ 1×5 = 5.00

Number of 10 cents coins = 3

⇒ 3×0.10=0.30

Number of 1 cents = 3

⇒ 3×0.01=0.03

Number of 5 cents = 1

⇒ 1×0.05=0.05

Julio spent = 1.00 + 5.00 + 0.30 + 0.03 + 0.05

                  = $6.38

Therefore, the total amount Julio spent on a salad and a container of yogurt in the form of note and coin is equal to $6.38.

Learn more about multiply :

https://brainly.com/question/30875464

#SPJ1

The complete question is :

Julio buys a salad and a container of yogurt. These bills and coins shown in attached image represent the cost of each item. How much did Julio spend in all?

2,188,180 rounded to nearest tenth

Answers

Answer:

2,188,180

Step-by-step explanation:

since 0 can't give anything to 8 the number would stay the same

You made $25,000 last year and spend 20% of your money on food. How much money did you spend on food?

Answers

Answer:

$5,000 was spent on food.

Step-by-step explanation:

To find:-

Money spent on food .

Answer:-

We are here given that, out of the total money made 20% was spent on food .

To calculate the money spent on food we need to find out 20% of $25,00 .

So that,

==> 20% of $25,000

==> 20/100 * $25,000

==> 0.2 * $25,000

==> $5,000

Hence the total money spent on food was $5,000 .

Every year, Martha and her sister attend 'The Nutcracker' at the Greenpoint Ballet. Last year, orchestra seating cost $60 per ticket. This year, each ticket was 15% cheaper. What was the cost of each ticket this year?

Answers

Answer:

$51

Step-by-step explanation:

You convery the percentage into a decimal, by dividing it by a hundred.

15÷100= 0.15

then you multiply the decimal and the price.

60×0.15= 9.

The question said it got cheaper so we have to subtract 9 from the original price.

60-9=51.

The temperature at 8 P.M. was - 6.8 degrees Celsius. • Between 8 P.M. and 10 P.M., the temperature change was -3.9 degrees Celsius. • The temperature change was -4.4 degrees Celsius between 10 P.m. and midnight. What was the temperature at midnight?

Answers

Using mathematical operations we can conclude that the temperature at the midnight was -15.1°C.

What are mathematical operations?

A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations.

The rules that specify the order in which we should solve an expression involving many operations are known as the order of operations.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (from left to right).

So, we can solve for the temperature as follows:

8 pm = -6.8

8 - 10 pm = -6.8 -3.9 = -10.7

10 - 12 midnight = -10.7 -4.4 = -15.1°C

Therefore, using mathematical operations we can conclude that the temperature at the midnight was -15.1°C.

Know more about mathematical operations here:

https://brainly.com/question/20628271

#SPJ1

in how many ways can we list the digits {1, 1, 2, 2, 3, 4, 5} so that two identical digits are not in consecutive positions?

Answers

There are 144 ways to list the digits {1, 1, 2, 2, 3, 4, 5} such that two identical digits are not in consecutive positions.

We have to list the digits {1, 1, 2, 2, 3, 4, 5} so that two identical digits are not in consecutive positions. We can use the knowledge of permutations and combinations to solve this problem. We can start by selecting the positions for the distinct digits, i.e., (3, 4, 5). There are 3 distinct digits, so there are 3! = 6 ways to arrange them.

Once we have placed the distinct digits, we can place the two 1's and two 2's in the remaining positions such that no two identical digits are in consecutive positions. To do this, we can use the following approach:

We can start by placing one of the 1's. There are 4 positions available for the first 1.

We can then place one of the 2's. There are 3 positions available for the first 2.

We can then place the second 1. There are 2 positions available for the second 1.

We can then place the second 2. There are 1 positions available for the second 2.

Therefore, the total number of ways to list the digits {1, 1, 2, 2, 3, 4, 5} such that two identical digits are not in consecutive positions is:

6 (arrangements of distinct digits) x 4 x 3 x 2 x 1 = 144.

To learn more about permutations and combinations visit : https://brainly.com/question/28065038

#SPJ11

What is the probability that 3 hearts are chosen if 7 cards are chosen from a well-shuffled deck of 52 playing cards?
a) 0.17583334
b) 0.00000026
c) 0.00000214
d) 0.00000029
e) 0.00000016

Answers

The probability that 3 hearts are chosen if 7 cards are chosen from a well-shuffled deck of 52 playing cards  is option (c) 0.00000214.

The probability of selecting exactly 3 hearts if 7 cards are chosen from a well-shuffled deck of 52 playing cards can be calculated using the hypergeometric distribution.

The total number of ways to choose 7 cards from 52 is given by the combination C(52,7), which is the total number of possible outcomes.

The number of ways to choose 3 hearts and 4 non-hearts is given by the product of the number of ways to choose 3 hearts from 13 and the number of ways to choose 4 non-hearts from 39. That is:

C(13,3) [tex]\times[/tex] C(39,4)

Therefore, the probability of selecting exactly 3 hearts is:

P(3 hearts) = [C(13,3) [tex]\times[/tex] C(39,4)] / C(52,7)

Calculating this probability gives:

P(3 hearts) ≈ 0.00000214

Therefore, the correct answer is option (c).

To learn more about probability visit:https://brainly.com/question/30034780

#SPJ11

The number of air conditioner units that 10 sales representatives sold last year are:

{6, 8, 10, 11, 12, 16, 17, 21, 32, 36}

How is the mean effected if the representative who sold the lowest number of units left the department, causing his sales to cancel out?

Responses:


The mean would increase.

The mean would remain the same.

The mean would decrease.

Answers

The correct option is (a), i.e. The mean would increase.

What is mean?

Mean is a measure of central tendency that is commonly used in statistics and mathematics. The mean of a set of numbers is calculated by adding up all the numbers in the set and dividing the sum by the total number of values in the set.

The mean of the number of air conditioner units sold by the 10 sales representatives last year can be calculated by adding up all the sales and then dividing by the total number of representatives, which is 10:

Mean = (6 + 8 + 10 + 11 + 12 + 16 + 17 + 21 + 32 + 36) / 10

= 169 / 10

= 16.9

So the mean number of air conditioner units sold per representative is 15.9.

If the representative who sold the lowest number of units left the department and his sales are cancelled out, the new sum of sales will be:

6 + 8 + 10 + 11 + 12 + 16 + 17 + 21 + 32 + 36 - 6 = 163

This is because we subtract the sales of the representative who left (which is 6 units in this case). The new mean can then be calculated by dividing this sum by the new total number of representatives, which is 9:

New mean = 163 / 9

= 18.11

So the new mean number of air conditioner units sold per representative is 18.11, which is higher than the original mean of 16.9. This is because removing the lowest value (which is smaller than the mean) increases the overall average.

To learn more about mean, visit the link:

https://brainly.com/question/1136789

#SPJ1

f(x) = x + 6 g(x) = 5x Work out the value of gf(3)

Answers

Answer:

45

Step-by-step explanation:

[tex]g(f(x))=5(x+6)[/tex]

[tex]g(f(3))=5(3+6)\\[/tex]

[tex]g(f(3))=5(9)\\[/tex]

[tex]g(f(3))=45[/tex]

Answer:

f(x) =x + 6g(x) =5x =

Calculate the formula weights:

mass of mole of

F(x) = x + 6g (x) = 5x = 19g

Bob's dog, Buster, is a finicky eater. Bob is trying to determine which of two brands of
canned cat food Buster prefers, Busted Nuggets or Busted Tenders. For two months, he
flips a coin each day to decide which of the two foods to feed Buster, and weighs how
much Buster eats (in grams). Here are the data:
Dog Food
n X
S
Busted Nuggets 31 152.6 4.45
Busted Tenders 31 163.7 5.75
Construct and interpret a 98% confidence interval for the difference in mean amount of
food Buster eats when he is offered Busted Nuggets and when he is offered Busted
Tenders.

Answers

We can be 98% cοnfident that the true difference in mean amοunt οf fοοd Buster eats when οffered Busted Nuggets and Busted Tenders is between -14.566 and -7.634 grams

Hοw tο cοnstruct cοnfidence interval?

Calculate the sample mean difference and the standard errοr οf the difference in οrder tο build the cοnfidence interval fοr the difference in the mean amοunt οf fοοd that Buster cοnsumes when served Busted Nuggets and Busted Tenders.

The sample mean difference is:

X1 - X2 = 152.6 - 163.7 = -11.1 grams.

The standard errοr οf the difference can be calculated as fοllοws:

SE = √(S1²/n1 + S2²/n2)

where S1 and S2 are the sample standard deviatiοns οf the twο grοups and n1 and n2 are the sample sizes.

Substituting the values, we get:

SE = √(4.45²/31 + 5.75²/31) = 1.463

ME = t x (SE) = 2.365 x 1.463 = 3.466

Finally, the cοnfidence interval fοr the difference in mean amοunt οf fοοd Buster eats is:

-11.1 - 3.466 < µ1 - µ2 < -11.1 + 3.466

-14.566 < µ1 - µ2 < -7.634

Hence, we have a 98% cοnfidence level that Buster actually cοnsumes between -14.566 and -7.634 grammes less fοοd οn average when given the chοice between Busted Nuggets and Busted Tenders. This periοd can be understοοd as Buster favοring Busted Tenders because οf the negative.

To know more about percentage visit :-

brainly.com/question/24877689

#SPJ1

Solve the system of inequalities 2x +y >3 and x- 2y 5- 1

Answers

The system of inequalities "2x – y > 1 and x – 2y < –1." are graphically shown below in the image section.

Inequalities in mathematics describe the connection between two non-equal values. Equal does not necessarily mean unequal. When two values are not equal, we typically use the "not equal symbol ()". However, a number of inequality comparisons are made to determine whether one value is greater than or less than another. The various inequality symbols, their meanings, and methods for solving them will all be covered in this article using examples of both one- and two-variable linear inequalities. We'll also discuss the algebraic inequalities that are commonly used.

Visit here to learn more about the inequalities: https://brainly.com/question/30228778

#SPJ4

—------ CORRECT QUESTION FORMAT IS GIVEN BELOW - - - - - -

(Q). Solve the following system of inequalities graphically: 2x – y > 1 and x – 2y < –1.

What fraction of 1/2 square centimeter 1/2 centimeter square?

Answers

1/4 square centimeter is therefore equal to 1/2 square centimeter.

In math, what is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears inside the numerator and denominator of a complex fraction. The numerator of a proper fraction has a smaller denominator.

While "1/2-centimeter square" refers to a square having the side length of half a centimeter, the marking "1/2 square centimeter" typically refers to an area equal half a square centimeter. Even though these aren't the same object, we can still calculate the ratio of one to the other.

The area of such a square of side length 1/2 centimeter is:

(1/2 cm) x (1/2 cm) = 1/4 square centimeter

We may divide 1/4 by 1/2 to determine the percentage of 1/2 square centimeter that corresponds to 1/4 square centimeter:

(1/4 square cm) ÷ (1/2 square cm) = (1/4) x (2/1) = 1/2

Hence, 1/4 square centimeter is equal to 1/2 square centimeter in size.

To know more about fraction visit:

https://brainly.com/question/28372533

#SPJ1

find the equation of the straight line passinh throigh (3,5) and making x-intercept 3 times the y-intercept.​

Answers

After answering the presented question, we can conclude that As a result, the equation of the straight line passing through (3,5) and having an x-intercept three times the y-intercept is: 5x - 9y = -42

What is equation?

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

To find a straight line's equation, we must first establish its slope and y-intercept.

[tex](y - 5) = m(x - 3) (x - 3)\\b - 5 = -3m\\[/tex]

When we solve for b, we get:

[tex]b = -3m + 5\\5 - 5 = m(3 - 3) (3 - 3)\\0 - 5 = m(3b - 3) (3b - 3)\\-5 = 3bm - 3m\\[/tex]

When we simplify, we get:

[tex]m = 5/(9b) (9b)\\[/tex]

Substituting this expression for m in the equation for the y-intercept b results in:

[tex]b = -15/(9b) + 5\\9b^2 = -15b + 45b\\9b^2 - 30b = 0\\3b(3b - 10) = 0\\b = 10/3\\(y - 5) = m(x - 3) (x - 3)\\(y - 5) = 5x/(9*10) - 1/3\\9y - 45 = 5x - 3\\5x - 9y = -42\\[/tex]

As a result, the equation of the straight line passing through (3,5) and having an x-intercept three times the y-intercept is:

5x - 9y = -42

To know more about equation visit:

https://brainly.com/question/649785

#SPJ9

I NEed HELP ON THIS ASAP!

Answers

Answer:

length times with equals to base times height

Step-by-step explanation:

length times with times height equals to 3400

Does anyone know how to answer this?

Answers

The probability that Esteban wins the game is 29/49.

What does probability mean?

Probability is a concept that refers to the likelihood of a particular event occurring. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Let's consider an example: Esteban is playing a matching card game where he wins if the cards are identical. To calculate the probability of winning, we can use the following formula:

Probability of winning = Number of favorable outcomes / Total number of possible outcomes

If we assume that the deck of cards contains seven crosses and seven stars, the probability of getting a cross on both cards is:

2/7 x 2/7 = 4/49

The probability of getting a star on both cards is:

5/7 x 5/7 = 25/49

To calculate the overall probability of winning the game, we add the probabilities of getting a cross on both cards and getting a star on both cards:

4/49 + 25/49 = 29/49

Therefore, the probability that Esteban will win the game is 29/49.

Read more about probability here:

https://brainly.com/question/24756209

#SPJ1

2.8 is what percent of 2.24

Answers

125% would be the correct answer

in a sample of 500 customers, 140 say that service is poor. you select two customers without replacement to get more information on their satisfaction. what is the probability that both say service is poor?

Answers

The probability that both customers say that the service is poor is 0.0588 or 5.88%.

To determine the probability that both customers say the service is poor, use the binomial distribution and the following formula:P(X = k) = (nCk) * p^k * (1 - p)^(n - k)Where:P(X = k) represents the probability that k successes occurn is the sample sizep is the probability of successk is the number of successes requested(1 - p) represents the probability of failure.Substitute the given values and calculate:P(X = 2) = (2C2) * (140/500)^2 * (1 - 140/500)^(2 - 2) = 0.0588 or 5.88%

Learn more about Probability

brainly.com/question/30034780

#SPJ11

Edin has £300 in his savings account. His bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years. How much interest will he have earned after 3 years?​

Answers

Answer:

$45

Step-by-step explanation:

Interest earned in a year

5/100x300= $15

Interest earned in 3 years

=$15x3

=$45

a company plans to manufacture a rectangular box with a square base, an open top, and a volume of 246 in.3. the cost of the material for the base is 0.2 cents per square inch, and the cost of the material for the sides is 0.3 cents per square inch. determine the dimensions of the box that will minimize the cost of manufacturing it. what is the minimum cost?

Answers

The dimensions of the box that will minimize the cost of manufacturing it: base = 9.04 in and y = 3.01 in

And the minimum cost is 32.65 cents

Let us assume that x represents the base side of the box, and y represents the height of the box.

The volume of the box would be:

V = x²y

246 = x²y        ........(1)

The cost of the material for the base is 0.2 cents per square inch, and the cost of the material for the sides is 0.3 cents per square inch.

Since this box has 4 sides and 1 base, the total cost would be,

C = (0.2 × x² × 1) + (0.3 × 4 × xy)

C = 0.2x² + 1.2x(246x⁻²)              (from (1) y = 246x⁻²)

C = 0.2x² + 295.2 x⁻¹

Consider derivative with respect to x,

dC/dx = 0.4x - 295.2 x⁻²

Consider dC/dx = 0

So,  0.4x - 295.2 x⁻² = 0

0.4x³ =  295.2

x³ = 738

So, x = 9.04

So, the value of y would be:

y = 246 x⁻²

y = 246 × (9.04)⁻²

y = 3.01

So, the minimum cost would be:

C = (0.2 × 0.04² × 1) + (0.3 × 4 × 9.04 × 3.01)

C = 32.65

Therefore, the minimum cost is: 32.65 cents

Learn more about the cost here:

https://brainly.com/question/19075809

#SPJ4

[Questions in image]​

Answers

Answer:

tesla electric company:

hours :cost

0:$50

1:$ 75

2: $100

3: $125

4: $150

Ac-Ad electric

hours: cost

0: $0

1: $50

2: $100

3: $150

4: $200

What is the answer in the photo

Answers

The sale price of the reusable water bottle is $18.

Describe Algebra?

Algebra is a branch of mathematics that deals with the study of symbols and the rules for manipulating these symbols. It is a broad area that includes various subfields such as elementary algebra, abstract algebra, and linear algebra, among others.

In elementary algebra, the focus is on the basic rules and operations involving variables, numbers, and equations. These concepts are used to solve problems in a wide range of fields, such as science, engineering, and finance. Abstract algebra, on the other hand, deals with the study of algebraic structures such as groups, rings, and fields. Linear algebra is the study of vector spaces and linear transformations, and is used extensively in fields such as computer science, physics, and engineering.

The discount on the reusable water bottles is 10%, which means that the customer pays only 90% of the regular price. To find the sale price, we can multiply the regular price by 90% or 0.9.

Sale price = Regular price x (1 - Discount rate)

Sale price = $20 x (1 - 0.1)

Sale price = $20 x 0.9

Sale price = $18

Therefore, the sale price of the reusable water bottle is $18.

To know more about rate visit:

https://brainly.com/question/199664

#SPJ1

find the area of the image below

Answers

The area is a circle of pie
3.124569

HELP PLEASE MATH IS HARD
The box plot displays the number of flowers planted in a town last summer. A box plot uses a number line from 6 to 21 with tick marks every one-half unit. The box extends from 10 to 15 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 20. The graph is titled Flowers Planted In Town, and the line is labeled Number of Flowers. Which of the following is the best measure of center for the data shown, and what is that value? The mean is the best measure of center and equals 11. The mean is the best measure of center and equals 12. The median is the best measure of center and equals 11. The median is the best measure of center and equals 12.

Answers

After answering the presented question, we can conclude that thus, the equation correct answer is: The median, which equals 11, is the best measure of center.

What box plot represent?

The box plot depicts the distribution of the quantity of flowers planted in a town last summer based on the information provided. The box spans the number line from 10 to 15, with a line at 11 inside the box and lines outside the box ending at 7 and 20.

The median is depicted by the line in the box, which is positioned at 11 in the box plot. As a result, the median is the best measure of center for the data provided, and its value is 11.

Thus, the correct answer is: The median, which equals 11, is the best measure of center.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

alana is making a ball out of rubber bands. when the ball has 54 rubber bands, it has a diameter of 3 cm. how many rubber bands should alana add to the ball to increase its diameter by 1 cm? assume that all of alana's rubber bands have the same volume.

Answers

The number of rubber bands that Alana has to add to the ball to increase its diameter by 1 cm is 74.

Given that:

Alana is making a ball out of rubber bands.

The volume of the ball with 54 rubber bands is found as below:

Diameter of the ball = 3 cm

The radius of the ball is half of the diameter.

So, radius, r = 1.5 cm

So, the volume of the ball formed by 54 rubberbands is:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Substitute r = 1.5.

[tex]V=\frac{4}{3} \pi (1.5)^3[/tex]

[tex]V=4.5\pi[/tex]

Now, the volume of the ball formed by 1 rubber band or the volume of the rubber band is:

[tex]V(r)=\frac{4.5\pi }{54}[/tex]

[tex]V(r)=\frac{\pi }{12}[/tex]

When the diameter increased by 1 cm, the new diameter is 4 cm and thus the radius is 2 cm.

So, the increase in volume is:

[tex]\frac{4}{3} \pi (2)^3-\frac{4}{3} \pi (\frac{3}{2} )^3=\frac{37\pi }{6}[/tex]

Now, divide this by the volume of one rubber band to get the number of rubber bands to be added.

[tex]\frac{\frac{37\pi }{6}}{\frac{\pi }{12} } =74[/tex]

Hence, the number of bands added is 74.

Learn more about Volume here :

https://brainly.com/question/28058531

#SPJ12

Maria needs to wraps the box shown below with no overlap of the wrapping paper. How much wrapping paper does she need?

Answers

As each side of the cube has a surface area of 24in².the total amount of wrapping paper needed is 64in².

What is surface area?

Surface area is the total area of a three-dimensional object's surface, including the area of its faces and any curved surfaces.

To calculate the amount of wrapping paper needed for the cube, we can use the formula for the surface area of a cube:

SA = 6 x (side)²

In this case, the side of the cube is 2in,

so the SA = 6 x (2in)² = 24in²

To get the amount of wrapping paper needed, we would need to multiply this by 4, as each side of the cube has a surface area of 24in².

Therefore, the total amount of wrapping paper needed is

24in² x 4 = 96in²

To convert this to a square, we would need to divide it by 4, as each side of the square is equal in length.

Therefore, the total amount of wrapping paper needed is

96in² / 4

= 24in x 4

= 64in².

For more questions related to cube

https://brainly.com/question/13329957

#SPJ1

If the triangle above is reflected over the y-axis, what is the correct coordinate for A'?
A'(0,5)
A'(2,5)
A'(5,2)
A'(-5, -2)

Answers

The coordinate A when the triangle is reflected over the y-axis is (2, 5)

Reflecting the triangle over the y-axis

From the triangle, we have

A = (-2, 5)

Reflecting a point over the x-axis is a type of transformation that involves flipping the point across the x-axis.

The reflection involves keeping the y-coordinate of the point the same, but changing the sign of the x-coordinate.

In this case, the original point is (-2, 5). To reflect this point over the y-axis, we keep the y-coordinate (5) the same, but change the sign of the x-coordinate to positive,

Resulting in the reflected point (2, 5).

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Other Questions
Which best represents the overall equation for photosynthesis?6 CO2 + 12 H2O + Light energy C6H12O6 + 6 O26 CO2 + 6 H2O + Light energy C6H12O6 + 6 O26 CO2 + Light energy C6H12O6 + 6 O2 + 6 H2OC6H12O6 + 6 O2 + 6 H2O + Light energy 6 CO2 + 12 H2O How do I write an occasion for family and friends day for church solve the system of inequalities for y+3x2x-y ? which african state organized the most successful resistance movement to european imperialism?NigeriaLibyaAlgeriaEthiopia How does Madmax and the movie Macbeth similar? The average speed of an object is the _______ that an object moves divided by the _______ of the movement. Question 1 options:Total distance; directionTotal time; total forceTotal area; total forceTotal distance; total time Show that if a grammar has no l-productions and no unit-productions, then the removal of useless productions by the construction of Theorem 6.2 does not introduce any such productions. Theorem 6.2 Let G = (V,T, S, P) be a context-free grammar. Then there exists an equivalent grammar G = (V,T,S,P) that does not contain any useless variables or productions. the picture above shows ocean in the upper right, a beach, and land in the lower left. the red dashes trace the crest of a wave. waves move perpendicular to their crests. what principle might be illustrated by the picture? Display items ordered for customer #10449, its standard price, and total price for all items ordered. Use label for Total Price. (HINT: Total price is Sum(quantity*price). Also, dont forget the GROUP BY statement. Can someone please explain how you do this Build World war 1 timeline diversification initiatives include all the following except group of answer choices mergers and acquisitions. strategic alliances. shareholder development. joint ventures. taylor company had beginning inventory of $570 and ending inventory of $840. taylor company had cost of goods sold amounting to $2,190. what is the amount of inventory that was purchased during the period? critically evaluate the Influence of social life to Teachers professionalism The American Academy of Pediatrics recommends that pediatricians____ a small charter plane company will charter a 50 seat - airplane to a group of 35 people or more. if a group contains exactly 35 people, each person pays $60. if the group has more than 35 people, everybodys fair is reduced by $1 for each person. determine the size of the group for which the companys revenue will be the greatest. then, find the maximum revenue. solve this please please 2. For the table, identify the independent and dependent variables. Explain the relationship using words, and an equation (equation example: C = 2s + 20). Number of Snacks Purchased, "s" 1 2 3 Total Cost, $18 $21 $24 $27 Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), and G (6, 1). He has 16 units of fencing. Where could Alex place point H so that he does not have to buy more fencing?A. (0, 1)B. (0, 2)C. (1, 1)D. (1, 2) g a car moving at constant speed around a circular track at a speed of v. the force of friction provides the necessary centripetal force to keep the car on the track. if the speed of the car is doubled, what will be the frictional force that is needed to hold the car on the road?