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

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Related Questions

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

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:

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

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

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:

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.

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

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

Answers

Answer:

you'd get the expression 6.37+7.8k

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!

:)

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;

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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:

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

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

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 :)

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

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:

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

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%

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)

25x89 divided by 1/4

Answers

Answer:

8900

Step-by-step explanation:

25x89=2225

2225/(1/4)= 8900

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

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 :)

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.

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

Can someone please help :!

Answers

Answer:

minimum

Step-by-step explanation:

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!

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

Help me pls pls pls

Answers

Oh gosh gosh oh yeah yeah oh okie oh gosh oh


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

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.

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