calculate the rate of change from the graph below

Calculate The Rate Of Change From The Graph Below

Answers

Answer 1

Answer:

The rate of change is 0.75 gallons per minute

Step-by-step explanation:

The rate of change of the linear relation is represented by the slope of the line which represents this relation

The rule of the slope of a line is

m = Δy/Δx, where

Δy is the vertical changeΔx is the horizontal change

From the given graph

∵ The line passes through points (0, 0) and (4, 3)

Δx = 4 - 0 = 4

Δy = 3 - 0 = 3

→ Use the rule of the slope above to find the slope of the line

m = [tex]\frac{3}{4}[/tex] = 0.75

∵ The x-axis represents the time in minutes

∵ The y-axis represents the amount in gallons

∵ m represents the rate of change

The rate of change = 0.75 gallons per minute


Related Questions

A submarine starts at surface of the
water. After 25 minutes, it is 2750 feet
below sea level. If the submarine is
traveling at a constant rate, what is the
submarine's elevation change per
minute?

Answers

Answer:

110

Step-by-step explanation:

2750ft/ 25mins = 110 ft per min. I hope this helps.

Question: You are playing your favorite video game, Hero's Quest. In the game, you can complete missions to earn experience points. You may complete a mission as many times as you would like, but each time you do, you only receive 80% as much experience as the previous time. The first time that you complete Mission A, you earn 1000 experience, points. The second time you complete it, you earn 800 experience points. How many times can you complete the mission before you earn less than 400 points? Explain your answer​

Answers

Using a geometric sequence, it is found that you can complete the mission 5 times before you earn less than 400 points.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, the amount of points after n times is a geometric sequence with [tex]a_1 = 1000, q = 0.8[/tex], hence the equation is:

[tex]a_n = 1000(0.8)^{n-1}[/tex]

You will earn less than 400 points when:

[tex]a_n < 400[/tex]

Hence:

[tex]1000(0.8)^{n-1} < 400[/tex]

[tex](0.8)^{n-1} < 0.4[/tex]

[tex]\frac{0.8^n}{0.8} < 0.4[/tex]

[tex]0.8^n < 0.32[/tex]

[tex]\log{0.8^n} < \log{0.32}[/tex]

[tex]n > \frac{\log{0.32}}{\log{0.8}}[/tex]

[tex]n > 5.1[/tex]

You can complete the mission 5 times before you earn less than 400 points.

More can be learned about geometric sequences at https://brainly.com/question/11847927

How did you decide whether to group this as a function, or not a function?
plz plz help

Answers

Answer:

This is a function because it passes the vertical line test

Step-by-step explanation:

What is the lcm of 7 and 21​

Answers

Answer:

21

Step-by-step explanation:

7x3=21

21x1=21

EASY

ILL GIVE BRAINLIEST!!
Select all of the expressions that are equivalent to
4x – 5 +6.

4x + (-5)+(6)
4x - 6+5
4x + 1
5x
5 + 6 - 4x

Answers

Answer:

4x + (-5) + (6)

4x + 1

hope that helps

Plz help need this last question

Answers

Answer:

a = -√3/3

b = 2√3/3

Step-by-step explanation:

Finding the slope of the tangent at C  by finding the derivative:

x^2 + y^2 = 1

2x + 2y y' = 0

2y y' = -2x

y' = -2x / 2y = -x/y

So the slope = - 1/2 / √3/2

= -1/2 * 2/√3

= -1/√3

= -√3/3

Using the point-slope form of a straight line

y - y1 = m(x - x1)

y - √3/2 = -√3/3(x - 1/2)

y - √3/2 =  -√3/3 x +√3/6

y =  -√3/3 x + √3/6 +√3/2

y =  -√3/3 x + 4√3/6

y = -√3/3x +  2√3/3

Mr. Baker worked 42 hours and earned $504.00. How much did he make per hour

Answers

Answer:

The answer is 12 remainder 6 but if it is a decimal form question it is 12.6

Answer:

the answer s 12$

Step-by-step explanation:

because if you do 504 divided by 42 you get 12 and if you do it backwards

42x12 you will get 504

A sum of 300 pounds into the ratio of 1:2:2. How much is the smallest share?

Answers

Answer:

60

Step-by-step explanation:

Summing the ratios gives 1+2+2=5

300/5 = 60

(1 x 60) + (2 x 60) + (2 x 60)

(60) + (120) + (120) = 300

Hence the least share is 60

The other two shares are equal which is 120

5 to the 4th power times 10 to the 4th power

Answers

Answer:

6250000

Step-by-step explanation:

Answer:6250000

Step-by-step explanation:

Punctele o, a, b, c sunt coliniare in aceasta ordine , iar segmentele oa, ab si bc au lungimile exprimate in cm , prin numere naturale pare consecutive . Se stie ca m este mijlocul segmentului ac si om = 11 cm . Calculati : a) lungimea segmentului oc b) distanta dintre n , mijlocul segmentului ob , si punctul m

Answers

Answer:

???

Step-by-step explanation:

During the first year of operation, a company produced 8.4 x 10 9 reams of paper. During the second year, the company produced 5.6 times the number of reams of paper that it produced during the first year. Which expression represents the number of reams of paper the company produced during the second year?

Answers

Using proportions, it is found that the expression that represents the number of reams of paper the company produced during the second year is:

[tex]4.704 \times 10^{10}[/tex]

What is a proportion?

A proportion is a fraction of a total amount.

In the first year, the company produced [tex]8.4 \times 10^9[/tex] reams, and in the second year, 5.6 times that, that is, we multiply the amount by 5.6, hence:

[tex]5.6 \times 8.4 \times 10^9 = 47.04 \times 10^9 = 4.704 \times 10^{10}[/tex]

Which is the desired expression.

More can be learned about proportions at https://brainly.com/question/24372153

This figure has two intersecting lines and a ray. What is the value of x?
37°


108°


72°


19°

Answers

Answer:

The value of x is D. 37°

Step-by-step explanation:

No need for math on this one, the angle next to x is 71° and is significantly bigger, so the only answer could be 37°.

The value of x will be 37°.

What is Vertically opposite angles?

Vertically Opposite Angles are the angles opposite each other when two lines cross.

Given that;

This figure has two intersecting lines and a ray.

Now, By the definition of vertically opposite angles, we get;

x° + 71° = 108°

Then, Solve for x as;

x° + 71° = 108°

Subtract 71 both side;

x° + 71° - 71° = 108° - 71°

x° = 37°

Thus, The value of x will be 37°.

Learn more about the vertically opposite angles visit:

https://brainly.com/question/1673457

#SPJ2

Find the surface area of the composite figure
Rectangle 4cm 4cm 12cm
Triangle 6cm

Answers

Answer: 256

Step-by-step explanation: The triangle needs to be multiplied 6x4 then 4 again for the sides of the triangle and divided by two. As for the rectangle you multiply the front which is 48 and the front is the back so 48+48 then the fours which are the bottom that then equals 16 do not use that for the top the top does not count because that is what the shapes are connected by then finally 48 for the top and bottom then add 48+48+48+48+16 to get your answer.

Factor −5
out of −10a−25

Answers

Answer:

-5(2a+5)

Step-by-step explanation:

Just divide all the numbers by -5, slap a parentheses on and your done.


Your grandfather is a coin collector. He has 50 coins of gold or silver separated into 7
bags. Gold coins are in packs of 6 and silver coins are in packs of 8. How many bags of
each coin does he have?
4 bags of gold and 3 bags of silver
2 bags of gold and 5 bags of silver
3 bags of gold and 4 bags of silver
5 bags of gold and 2 bags of silver

Answers

Answer:

c

Step-by-step explanation:

a = 48 coins   4 x 6 = 24    3 x 8 = 24     24 + 24 = 48

b = 52 coins   2 x 6 = 12     5 x 8 = 40     40 + 12 = 52

c = 50 coins   3 x 6 =18      4 x 8 = 32      32 + 18 = 50   correct

d = 46 coins   5 x 6 = 30    2 x 8 = 16       30 + 16 = 46

What is the slope of a line that is parallel to y = 1x and goes through the point (1, 9).​

Answers

Both lines have the same slope of 1

The unknown line is y=x+8

Look at the photo for the graph

The restaurant check is $54.50. Mary wants to leave a 20% tip for the server. What is the tip amount?


20 points, I'll give brainliest, SHOW YOUR WORK PLEASE :)

Answers

Answer:

$10.90

Step-by-step explanation:

Turn your 20% tip into a decimal (0.20) and multiply that by the overall check. $54.50 x 0.20 = $10.90

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!

Answers

Option D is graph .

Graph of all 4 functions attached

Black one is the 4th one

Answer:

[tex]y=\sqrt[3]{x+3}+3[/tex]

Step-by-step explanation:

From inspection, we can see that the base graph is [tex]y=\sqrt[3]{x}[/tex]

(As the graph of [tex]y=\sqrt{x}[/tex] is only valid for x ≥ 0 ⇒ y ≥ 0)

The center of [tex]y=\sqrt[3]{x}[/tex] goes through the origin (0, 0)

From inspection, we can see that the center of the curve is now at (-3, 3)

So the graphed function has been shifted 3 units left:

[tex]\implies y=\sqrt[3]{x+3}[/tex]

and shifted 3 units up:

[tex]\implies y=\sqrt[3]{x+3}+3[/tex]

Please help me i need to complete this by tomorrow

Answers

Answer:

Step-by-step explanation: Need to work out your scale factor which is 1.5.

8 * 1.5 = 12

CE = 12

12 * 9 = 108/2 = 59 that is the area of triangle ACE

8 * 6 = 48/2 = 24 that is the area of triangle BCD

ACE - BCD = ABDE

59 - 24 = 35cm^2

What is the volume of this cylinder?


Use ​ ≈ 3.14 and round your answer to the nearest hundredth.


32 yd

14 yd


cubic yards

Answers

Answer:

11253.76

Step-by-step explanation:

GIven Information;

Height = 14 yd

Diameter = 32 yd

Note;

Radius = d/2

Since Radius = d[Diameter] /2 then 32/2 = 16 yd

Solve;

Volume of cylinder formula;

= [tex]\pi r^2h[/tex]

Using = 3.14

[tex](3.14) (16^2)(14)[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3.14\cdot \:14=43.96[/tex]

[tex]=16^2\cdot \:43.96[/tex]

[tex]=256\cdot \:43.96[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:43.96\cdot \:256=11253.76[/tex]

[tex]=11253.76[/tex]

[RevyBreeze]

Answer:

[tex]\huge\boxed{\sf 11253.76\ yd^3}[/tex]

Step-by-step explanation:

Height = h = 14 yd

Diameter = d = 32 yd

Radius = d/2 = 32/2 = 16 yd

Volume of cylinder:

[tex]= \pi r^2 h\\\\= (3.14)(16)^2(14)\\\\= (3.14)(256)(14)\\\\= 11253.76\ yd^3\\\\\rule[225]{225}{2}[/tex]

SOMEONE HELP ITS DUE TODAY PLEASE!!!

Answers

i believe the answer would be c, because you leave the base alone and work on the exponents first. when dividing terms with exponents you subtract the exponents, so the equation would be something like -9-(-12) which is the same as -9+12 which equals 3, so the answer should be c, 3^3. hope this helps!

is (ab)c = a(cb). True or False

Answers

Answer:

true

Step-by-step explanation: You are multiplying all numbers (ab)*c is basically a*b*c and a(cb) is basically a*b*c. [gimme 5-star :)]

as lead crime investigator you have been called to a crime that is on a bearing of 016degree from your lab and 342degree from the police station
from your initial investigation there are six suspects. using the table below , find their locations.

Answers

Step-by-step explanation:

In India, the first step towards criminal proceeding is an investigation by the police. The investigation is the exclusive domain of the police and can not be curtailed in normal circumstances. The main purpose of an investigation is the identification of the offender so as to serve him with punishment for the crime done by him in accordance with the provisions contained under law. According to Section 156 of the Code of Criminal Procedure, the police have unfettered powers to investigate into a cognizable offence. The term cognizable offence is any act or omission committed by a person under any law in force which is punishable and is considered to be a crime. The police have the authority to arrest any person who has committed a cognizable offence. Beside Criminal investigation, there are other types of investigations which become the part of the life of an investigator. Some of the types of investigation are as follows:

Civil investigation: These are the investigations which are carried on during the civil suits in which violation of law is generally not included and the question of money or property is to be settled;

Negligence investigation: These types of investigations are conducted either by the plaintiff’s counsel to prove the liability of the defendant or by the defendant’s attorney to refute the claims of the plaintiff. It is accomplished by the use of surveillance, interviewing the witnesses;

Corporate investigation: In Corporate investigations the investigator monitors the business of the company and also provides the information about the fraud within or outside the company;

General investigation: It is like an umbrella term including a great variety of investigative activities. These activities may be conducted for different purposes like the determination of the location of witnesses, dishonest employees, fraud etc.

If there are 13400 students at Rocky Valley College and 1/4
take speech, how many students take a speech at rocky valley college

Answers

Answer:

three thousand three hundred and fifty.3,350

Step-by-step explanation:

the question given was:1/4 take a speech, so how many?: one fourth, if you divide 13,400 by 4 its 3,350. that is one fourth  of 13,400. So, if you add 3,350 four times, it would be 13,400.

Hope this helped!<3

ABCD is a quadrilateral. Work out the length of CD. Give your answer to 3 significant figures

Answers

Check the picture below.

[tex]sin(35^o)=\cfrac{\stackrel{opposite}{12}}{\underset{hypotenuse}{BD}}\implies BD=\cfrac{12}{sin(35^o)} \\\\[-0.35em] ~\dotfill\\\\ \textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{sin(52^o)}{BD}=\cfrac{sin(102^o)}{CD}\implies CD=\cfrac{BD\cdot sin(102^o)}{sin(52^o)} \\\\\\ CD=\cfrac{\frac{12}{sin(35^o)}\cdot sin(102^o)}{sin(52^o)}\implies CD=\cfrac{12\cdot sin(102^o)}{sin(35^o)\cdot sin(52^o)}\implies CD\approx 26.0[/tex]

what day is it
brainliest

Answers

Answer: Friday, October 23.

Answer:

Friday

Step-by-step explanation:

Question 7 Finally, select point D and move it around the circumference of circle A. Which type of polygon is formed by the line segments joining points A, B, and C?

Answers

Answer:

Regardless of where point D is located on the circle, a right triangle is formed between points A, B, and C. The right angle of the triangle is ∠ABC.

Step-by-step explanation:

PLATO

Answer:

Regardless of where point D is located on the circle, a right triangle is formed between points A, B, and C. The right angle of the triangle is ∠ABC.

Solve system of equations

3x+6y=3
X+2y=1

Answers

Answer:

has infinite solution

Step-by-step explanation:

(x,y)=(1-2a,a) where a is an element of any real number

Oil flows back and forth between a small and large tank. When oil is moving into the large tank, the flow rate is positive. When oil is moving into the small tank, the flow rate is negative. The large tank begins with 600 gallons of oil. The flow rate is recorded as –4 gallons per minute. After a period of 32 minutes, how much oil has been moved and to which tank?

Answers

Flow is given as, F = - 4 gallon per minute into small tank.

( Since, flow is negative )

Volume of oil in large tank, V = 600 gallons.

Now,

Volume of oil has been moved :

[tex]v = F \times t\\\\v = -4 \ gallons/min \times\ 32\ min\\\\ v = -128\ gallons[/tex]

Therefore, 128 gallons of oil has been moved to small tank.

Hence, this is the required solution.

Answer:

128 gallons, into the small tank.  I think its the second option for the last box, not 100 percent sure but i did the question so yea :D

Step-by-step explanation:

Which of the following numbers is between 5 and 10 on a number line? Select two that apply.

Answers

Answer:

it would be any number that is less that ten but greater than 5

Other Questions
In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10Required:What is the probability of selecting the color of ball that you just selected? The excerpt from the novel along with the commentary that follows indicates thatThe Jungle was influenced byA.low production and high retail costs within American industry.B. immigration and labor disputes regarding American industry.OC. political and financial insecurity in American industry.OD.abusive practices and corruption concerning American industry.ResetSubmit Can anyone help me please What's the fashion in Spain and Cuba? (traditional and/or fashionable clothing) 1) Which one of these words has the meaning of drawing?.(2 which word has the meaning of fence or barricadeEz questions (WILL MARK BRAINLIEST):D What is the wavelength of a 264-Hz sound wave when the speed of sound is 345 m2 1.31 m A. 0.77 m C. 6.09 m D. 0.11 m how do you write 1,000 in soanish What were there the reasons slave population failed to reproduce themselves in the Caribbean? How can the skill and I what I lerned help me work better? Which two samples have the same properties? Pulse oximetry is used to measure the oxygen saturation level of the blood True False Sofia needs to go to the grocery store. She leaves her house, walks 1 mi northto the store, buys some bread and fruit, and walks back home. Which of thefollowing is true of Sofia's trip to the store and back?O A. The total distance traveled is 1 mi.O B. The total distance traveled is O mi.C. The total displacement is O mi.D. The total displacement is 1 mi north. need help on these 3 questions pls.1. c^2 = 64 solve for c2. 2b + 3 = 13 solve for b3. 5x^2y^3 / 25xy^4 simplify The laboratory equipment below is called The population of a village 1000 one year ago. The present population is 1021. find the population growth rate The normal sequence of genes along a hypothetical chromosome is ABC*DEFGH, where letters represent genes and the asterisk (*) represents the centromere. A mutation event results in a chromosome in which the sequence of genes is ABC*DGFEH. This type of mutation is The normal sequence of genes along a hypothetical chromosome is ABC*DEFGH, where letters represent genes and the asterisk (*) represents the centromere. A mutation event results in a chromosome in which the sequence of genes is ABC*DGFEH. This type of mutation is : a. A point mutation. b. A translocation. c. A nonsense mutation. d. A duplication. e. An inversion. como podria la logica contribuir con la convivencia social hey, Brainly weird question but is, "frick your world" a prepositional phrase? I need a prepositional phrase for my essay due Monday and my story included "frick you world" in it can I use it for my prep? 9) What information is used to calculate your credit score?A) credit report and bank statementsB) the average credit history from the previous yearC) information contained on a credit report from the last three monthsD) the information that appears on your credit report the day a score is calculated Paul has an eight-year loan with a principal of $26,900. The loan has an interest rate of 8.18%, compounded quarterly. If Paul pays $1,527 in service charges and makes quarterly payments on his loan, what will his total finance charge be when the loan is repaid? Round all dollar values to the nearest cent. a.$10,588.28 b.$11,546.36 c.$11,370.04 d.$1,527.00 Please select the best answer from the choices provided A B C D Mark this and return