Why is a data point with an​ x-coordinate of 0 a good point to use when creating a trend line for a data​ set? The graph shows the altitude of a weather balloon over time. The trend line passes through the points ​(0​,481​) and ​(10,39,​). Write the equation of a trend line for the data shown in the graph. After how many minutes is the balloon at an altitude of 454.6 feet above sea​ level?

Answers

Answer 1

It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea​ level

A linear equation is given by:

y =mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the altitude of the balloon at time x.

Given that a trend line passes through the point ​(0​,481​) and ​(10,39), the equation of the trend line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-481=\frac{39-481}{10-0}(x-0)\\\\y=-44.2x+481[/tex]

At 454.6 ft:

454.6 = -44.2x + 481

-26.4 = -44.2

t = 0.6 minutes

It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea​ level

Find out more at: https://brainly.com/question/13911928


Related Questions

Sara is considering multiple job offers. She enjoys outdoor
activities like going to the beach. What non-income factor would
influence her decision?
Availability of benefits
LocationJob security
Working hours

Answers

The answer is location

If a tree in a 1 in.: 2ft scale drawing is 10 inches tall, how tall is the actual tree?

Answers

Answer:

20 ft.

Step-by-step explanation:

You can solve this as a proportion:

[tex]\frac{1}{2} = \frac{10}{y}[/tex]

The y is equal to 20.

Hope it helps!

SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP JUST HELP ME PLEASE

Answers

Answer:

there is a 1 to 15 relationship  between miles and gallons

Step-by-step explanation:

12. Given f(x) = x - 3 and g(x) = 4x, find g(f(x)).
A. 4x -3
B. 4x - 12
C. 5x - 3
D. 3x3

Answers

It's b. 4x-12
Just put f into g

How long will it take Anna to earn $51.00?

Answers

Answer:

Needs More Information

Step-by-step explanation:

This depends on how much Anna is earning a day. If she is earning a dollar a day, then it would take her 51 days for her to earn this money. Hope this helps! Have a good day :)

Andre and Elena are reading the same book over the 1 summer. Andre says he has read of the book. Elena ! says she has read 20 more pages than Andre. If Elena is on page 55, how many pages are in the book? Lin has drawn a diagram to solve this question. Find her error..​

Answers

Answer: There are 175 pages in the book.

Step-by-step explanation:

If Elena read 20 more pages than Andre and she read 55 pages, to find out how much Andre read you have to:

55-20= the pages Andre read

55-20=35

Andre read 35 pages.

If Andre read 1/5 of the book, then to find how many pages are in the book, you have to multiply 35 x 5. (Multiply by the reciprocal)

35 x 5= 175

There are 175 pages in the book.

A sector has an area of 50 ft sq, and a central angle of 45 degrees. Find the radius.

Answers

Answer:

Step-by-step explanation:

45° is 1/8 of a circle, so the area of the sector is 1/8 the area of the circle.

Area of circle = 8*50 = 400 sq ft

πr² = 400

r = √(400/π) = 20/√π ≈ 11.3 ft

3. A manufacturing process produces integrated circuit chips. Over the long run, the fraction of bad chips produced by the process is 20%. Thoroughly testing a chip to determine whether it is good or bad is rather expensive, so a cheaper test is used. All good chips will pass the test, but so will 6% of the bad chips. a) (4 points) What is the probability that a randomly chosen chip will pass the test

Answers

Answer:

0.812 = 81.2% probability that a randomly chosen chip will pass the test

Step-by-step explanation:

Over the long run, the fraction of bad chips produced by the process is 20%.

So 100 - 20 = 80% are good.

All good chips pass the test, while 6% of the bad chips(20%) also pass.

a) (4 points) What is the probability that a randomly chosen chip will pass the test

[tex]p = 0.8 + 0.06*0.2 = 0.812[/tex]

0.812 = 81.2% probability that a randomly chosen chip will pass the test

Solve each single-step equation. Show your work. - 6 b + 2 < 56

Answers

Answer:

b > −9

Step-by-step explanation:

−6b+2<56

Step 1: Subtract 2 from both sides.

−6b+2−2<56−2

−6b<54

Step 2: Divide both sides by -6.

−6b  −6 < 54 −6

b >−9

Can you PLEASE write a paragraph of how tragicomic functions work PLEASE!!!

Answers

They are used for making the sides of a triangle into a ratio. Sine is opposite of the angle divide by the hypotenuse, cosine is adjacent divided by the hypotenuse, and tangent is the opposite divided by the adjacent. Sine is the y-component, cosine is the x-component, and tangent is the ratio of sine/cosine or can also be considered the slope.


A sum of two mixed numbers is given.

What is the missing number?

Answers

Answer:

16.

Step-by-step explanation:

The whole numbers stay the same so it stays as 2. The way they get 30 for the denominator is by multiplying the fraction 1/3 by 10 and 1/5 by 6. So now we have 10/30 and 6/30. Add them together, 10+6=16

0.392 is what percent of 28?
Pleasee

Answers

Answer:

28% of 0.392=0.10976

Step-by-step explanation:

1. We assume, that the number 0.392 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 0.392 is 100%, so we can write it down as 0.392=100%.

4. We know, that x is 28% of the output value, so we can write it down as x=28%.

5. Now we have two simple equations:

1) 0.392=100%

2) x=28%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

0.392/x=100%/28%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

Solution for what is 28% of 0.392

0.10976

hi any help would be useful in struggling! thank you

Answers

Answer:

ADD MORE POINTS THEN WE CAN TALK HUN THANK ME LATER HUN FOU

Step-by-step explanation:

what is the value of -3 1/2 x 2 1/2​

Answers

Answer: −8  3 /4

Step-by-step explanation: (−3  1 /2 )(2  1 /2 )

(-7/2)(5/2)

−35 /4

−8  3 /4

what is the answer to : 1.3(4.9 + 6k)

Answers

Answer:

you'd get the expression 6.37+7.8k

What is the discounted price of an item that originally costs $75.00 and is receiving at 20% discount?

Answers

Answer:

15 US dollars

Step-by-step explanation:

Given equation: 3x-2y=6

How do you get the x-value of the x-intercept of the line?

Answers

Answer:

(2,0)

Step-by-step explanation:

Since you're finding the x-intercept, logically y will have to equal 0 in order for x to be at its intercept, therefore plugging in 0 for y in your equation will give you your x-intercept.

3x -2(0) = 6

3x = 6

x = 2

So the x=int for this equation would be at the point:

(2,0)

Hope this helps!

:)

use square root property to solve for k
(k+5)= -24

Answers

Answer:

k= -29

Step-by-step explanation:

(K+5)=-24 move the constant to the right side and change it sign so now you have k=-25-5 and add them -25 + -5 = -29 so you’re answer it k=-29

25x89 divided by 1/4

Answers

Answer:

8900

Step-by-step explanation:

25x89=2225

2225/(1/4)= 8900

PLS HELP !!! I need this question done quick

Answers

Answer:

a. 17  b. 51

Step-by-step explanation:

Follow Order of Operations (PEMDAS):

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

a.  9 + 4² - (4-2) • 4

9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)

9 + 4² - 2 • 4 ––– 4² (exponents)

9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)

9 + 16 - 8 ––– 9 + 16 (addition)

25 - 8 ––– 25 - 8 (subtraction)

17

b. 15 - 4 + 2(7-3) • 5

15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)

~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.

15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)

15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*

11 + 40 ––– 11 + 40 (addition)

51

Answer:

(a. 7)  (b. 51)

Step-by-step explanation:

A.

[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]

B.

[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]

(I don't know the numerical values)

During a high school basketball season, Casey successfully made 18 of the 25 free throws she attempted. What is her percentage of successful throws?

Answers

Answer:

72%

Step-by-step explanation:

Basket she made successfull = 18/25

Percentage = 18/25 x 100 = 72%

please help with this question!

Answers

Answer:

12

Step-by-step explanation:

pemdas so -9×-12 making it -3 and then -36 / -3 would be 12 ur final answer

What is the Domain and Range of this graph?​

Answers

Answer:

domain: -3 ≤ x ≤ 3

range:  -3 ≤ y ≤ 3

Step-by-step explanation:

x can only be from -3 to +3. That is what domain means.

y can only be -3 to +3. That is what range means.

If 7/8 gallon of soil contains 1/8 the amount of soil a landscaper needs to fill a hole completely how much soil does it take to fill the hole

Answers

Answer:

1 gallon

Step-by-step explanation:

Help me pls pls pls

Answers

Oh gosh gosh oh yeah yeah oh okie oh gosh oh

Please help me!! ......

Answers

Answer:

b)480 cm^2

Step-by-step explanation:

perimeter=(16+12+20) cm

=48 cm

lateral surface area= perimeter × height

=48×10 =480 cm^2

1 2/5 x 1 2/5 as a fraction mixed fraction

Answers

Answer:

1 24/25 or one and twenty-four twenty-fifths (in word form).

Step-by-step explanation:

This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.

1 2/5=7/5

7/5*7/5= 49/25 or 1 24/25.

Anyhow, the answer is 1 24/25

The simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

What are mixed fractions?

A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.

Given that a fraction [tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]

We need to simply it in a mixed fraction,

[tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]

= 7/2 × 7/2

= 49 / 2

= [tex]24\frac{1}{2}[/tex]

Hence, the simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

Learn more about mixed fraction, click;

https://brainly.com/question/29019463

#SPJ2

30% of the students are absent from math class. If there are normally 30 students, how many are missing?

Answers

9 students would be missing,
30 percent of 30 is 9, hope this helped :)

Can someone please help :!

Answers

Answer:

minimum

Step-by-step explanation:

Match each percent with the corresponding decimal

0.5%
5%
50%

Answers

Answer:

well your first two are going to be 0.05 and the late one is 0.5

Step-by-step explanation:

hope this helps tell if wrong

1. 0.5% = .005

2. 5% = .05

3. 50% = .50

Just move the decimal to the left two times
Other Questions
I WILL MARK U BRAINLIEST 5TH GRADE MATH PLEASE! HEPL!!!! HELPP!! (FILIPINO SUBJECT)Sa storyang 'Ang pinagmulan ng tatlumpu't dalawang kuwento ng trono'1. Bakit maging ang raha ay hindi naging marapat maupo sa trono ni Raha Vikramaditya? Ano-anong mga katangian ang dapat taglayin ng isang pinuno upang maging karapat-dapat maupo sa trono?2. Paano napatunayan sa akda na ang katotohanan ay hindi maitatago at lalabas din sa bandang huli? 49. Alea learned in science class that one form of energy can be changed into other forms of energy. In which of the following situations does electrical energy becomelight and heat energy?O lighting a candleO charcoal burningO the rising of the SunO turning on a light bulb What does modal,median and mean, mean evaluate : ( -3/4 ) 2 pls and thank youu are the phrases "This interests me alot" and "This is very interesting to me" the same A food handler stored dry food. Which of the following steps was done correctly?The food was stored in a chemical closetThe food was stored 4 inches off of the floorThe food was store in a high traffic areaThe food was stored away from the wall HURRY IM TIMED !!!!!!!!!!Which two elements make up water?oxygen and phosphorusoxygen and hydrogenhydrogen and sulfurhydrogen and phosphorus Use the information below to answer the question. must be a citizen of the United States must have lived in Georgia for at least two years must be at least 21 years of ageThe above information is describing the qualifications to be aA)senator.B)governorC)representativeD)supreme court justice. A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit? What is the surface area of the cylinder with height 4 m and radius 2 m? Round your answer to the nearest thousandth. ( Thesis) Nationalism is the strong sense of attachment or belonging to ones own country. As this grew in the 1800s, what effect did nationalism have on Europe during this century? If an organism cells all contain the same DNA why does one cell become bone while another cell becomes lung tissue apples are on sale for 5 for $3, how much does one apple cost? ASAP!! How many moles are in 125 g of H2SO4 50 POINTS WILL MARK BRAINLIEST Which part of the DNA nucleotide contains the genetic code to make the protein?a) deoxyribose sugar b) phosphate group c) nitrogenous base Question 1 (1 point) This geographic network type has data transmitted securely through a private tunnel over an unsecure network?Question 1 options:Local Area NetworkVirtual Private NetworkWide Area NetworkPersonal Area NetworkQuestion 2 (1 point) Which networking device learns all ports and then sends incoming data to selected ports on the same network?Question 2 options:HubRouterWireless RouterSwitchQuestion 3 (1 point) Which topology type has all devices directly connected to a centralized hub or switch?Question 3 options:BusTreeStarRingQuestion 4 (1 point) Which topology type allows data to travel through the network in either one direction or both directions at the same time?Question 4 options:MeshBusStarRing or Dual RingQuestion 5 (1 point) Which geographical network type has a distance of 33 feet to 10 meters?Question 5 options:Metropolitan Area NetworkPersonal Area NetworkLocal Area NetworkWide Area NetworkQuestion 6 (1 point) Which networking devices forward incoming data between computer networksSelect 2 correct answer(s)Question 6 options:HubSwitchRouterWireless routerQuestion 7 (1 point) The wireless router functions the same at a router but can also act as a wireless access point.Question 7 options: True FalseQuestion 8 (1 point) Which networking device broadcasts all incoming data to all active ports on the same network?Question 8 options:RouterSwitchHubWireless RouterQuestion 9 (1 point) Which type of network shares information and devices but has no centralized control?Question 9 options:Peer to PeerClient/ServerWide Area NetworkStorage Area NetworkQuestion 10 (1 point) Which geographic network type has a distance of 5 to 50 kilometers and typically uses fiber optics for increased speed?Question 10 options:Wide Area NetworkPersonal Area NetworkLocal Area NetworkMetropolitan Area Network Can somebody please help me with 36, 37, 38, & 39 How many artists are on Gmmtv?