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

Plz help me!!
I have no clue how to do this because my teacher moves to fast for me. If you can help out that would be really appreciated!!

Answers

Answer:

1. x = 65

2. x = 40

3. x = -7

4. x = -4

5. x = -7

6. x = 4

Step-by-step explanation:

Angles in a triangle always add up to 180 degrees.

Thus, for each triangle you can write an equation setting the sum of the three angles equal to 180, and solving for x.

1. 180 = 80 + 35 + x

   180 - (80 + 35) = x

   180 - 115 = x

   65 = x

2. 180 = 70 + 70 + x

   180 - (70 + 70) = x

   180 - 140 = x

   40 = x

3.  180 = 76 + 41 + (x+ 70)

    180 - (76 + 41) = x + 70

    180 - 117 = x + 70

    63 = x + 70

    63 - 70 = x

    -7 = x    

4. (the red square means its a right angle = 90 degrees)

   180 = 90 + 25 + (x + 69)

   180 - (90 + 25) = x + 69

   180 - 115 = x + 69

   65 = x + 69

   65 - 69 = x

   x = -4

5. 180 = 50 + (57 +x) + (x + 87)

   180 - 50 = (57 +x) + (x + 87)

    130 = (57 +x) + (x + 87)

  combine like terms

  130 =  144 + 2x  

  130 - 144 = 2x

  -14 = 2x

   -7 = x

6. 180 = 80 + (9x + 4) + (16x - 4)

   180 - 80 = (9x + 4) + (16x - 4)

   100 = (9x + 4) + (16x - 4)

   combine like terms

    100 = 25x + 0

    100 = 25x

    4 = x

Select all the correct answers. Exponential function f is represented by the table. x 0 1 2 3 4 f(x) -12 -4 0 2 3 Function g is represented by the equation. g(x)=-12(1/3)^x Which statements are true about the two functions? Both functions are increasing on all intervals of x. The functions have the same y-intercept. Both functions approach the same value as x approaches ∞. Both functions approach -∞ as x approaches -∞. The functions have the same x-intercept.

Answers

Answer:

Both functions are increasing on all intervals of x: True

Both functions have the same y intercept: True

Both functions approach the same value as x approaches infinity: True

Both functions approach negative infinity as x approaches negative infinity: True.

The functions have the same x intercept: False, they have no x intercept.

Step-by-step explanation:

f(x) is stated to be an exponetial function, hence

[tex]f(x)=ab^{x}[/tex]

f(0) is given as -12, so

-12=a

f(1) is given as -4, so

-4=-12b

b=1/3

This implies that

[tex]f(x)=-12(\frac{1}{3})^{x}[/tex]

g(x) is stated to be

[tex]g(x)=-12(\frac{1}{3})^{x}[/tex]

Conclusion: the functions are identical.

Answer:

so the answers are

the functions have the same y-intercept

both functions approach negative infinity as x approaches infinity

both functions are increasing on all intervals of x

Ravi buys an item for $1.08. He gives the cashier a $20 bill. How much money should Ravi get back?

Answers

Answer:

$18.92

Step-by-step explanation:

20-1.08=18.92

Answer:

$18.92

Step-by-step explanation:

Subtract $1.08 from $20

18.92

So Ravi should get $18.92 back

Hope this helps :)

express in simplest radical form

V24

Answers

Answer:

not understanding meaning of your question

Step-by-step explanation:

sooooooooooooorrrrrrrrrrrrrrrrrryy

PLEASE HELP ME!!!
Jack and Bilal share stickers in the ratio 2:3
If they have 60 stickers altogether, how many
stickers does Bilal have?
Which of these calculations would not be a step in
finding the answer?
12 * 3
605
603​

Answers

Answer:

A im pretty sure

Step-by-step explanation:

please I really need help​

Answers

I think A and E, but I’m not positive

help please due soon

Answers

Answer:

y = 6x

Step-by-step explanation:

You can easily find the slope by using slope formula:

(y2-y1) / (x2-x1) (the numbers are subscript)

E.g: (24-12) / (4-2) = 12/2 = 6

m(slope) = 6

Hope this helped :)

(You can also check if it’s correct by inputting the coords into the equation, seeing if all solutions are aplicable).

HELP PLEASE i need it asappppp

Answers

Answer:
Angle 1 = Angle 2
Angle 3 = angle 4
Angle 5 = 106

5 is something similar but I don’t know the answers for sure Hope this helps a bit :D

2ab( 4a2 + 3ab - 7b2)​

Answers

Answer:

6ab + -3a2

Step-by-step explanation:

2ab(4a2 + 3ab - 7b2)     original problem

2ab(3ab + 4a2 - 7b2)     commutative property

2ab(3ab + -3a2)     subtract

4 - 7 = -3

6ab + - 3a2              mulitiply

2ab x 3ab = 6ab

and that is you final expression, you can't add the last 2 numbers cause they are not like terms.

Answer:

1.8ab²

2.7xy⁶

3.7x²

4.8x²+4

5.43y⁵+21

Step-by-step explanation:

yan palang po ung nasagutan ko hindi ko pa po alam kung tama pero yan na ung solution : )

what is 5/6 divided by 7/10​

Answers

I believe it would be 21/25
Decimal form is 0.84

tiffany is taking her end of course exam. she has completed questions 16 and the prgress bar shows 40%. how many questions are in the tesat

Answers

Answer:

40

Step-by-step explanation:

16 ÷ 40% = 40

40% of 40 = 0.4 × 40 = 16

Answer: 40

Step-by-step explanation:

I need help plz due in 20 min

Answers

Answer:

No, because 2(3x-5)=6x-10, and 6x-10 is not equal to 6x-8

Step-by-step explanation:

The TV you bought was $900 and the sales tax was 10%, what was the total cost of the TV.

Answers

$990

10% of 900 is 90. 900+90

Ana and her friends are decorating the gym for a dance. They need 270 balloons. The balloons are only sold un packages. Tere are 50 balloons in each package.

Answers

Answer:

Step-by-step explanation:

270 div

Tony wants to use his savings at the end of March to buy video games. The games cost $35.75 each. How many games can Tony buy

Answers

Answer:

how much money is he saving????

Step-by-step explanation:

Martin reconditions cameras allu sens
Which equation best represents the relationship between r the cost of a reconditioned camera and n its cost when new?
A
r
= 2n
B
r
2.
С
n
=
رہاہے
D
n = p2

Answers

Answer:

B: r =n/2

Step-by-step explanation:

Recondition only mean is that half of what the new is so recondition equals the new over half because recondition is half the price of the new

25*89 / 1/4

I WILL AWORD BRILLENEST!!!!!!

Answers

Answer:

8900

Step-by-step explanation:

25 * 89 / [tex]\frac{1}{4}[/tex] = 25 * 89 * 4 = 100 * 89 = 8900

it’s 8900


—————————————

Alexander read 12 books in 3 months what was her rate of reading and months per book ​

Answers

Answer: 4 books every month

4:1

For this exponential function what is the output value (y) when the input value (c) is 3?

Answers

Answer:

y = 40

Step-by-step explanation:

Given, y = 5 * 2^x

If x = 3, y would be:

Substitute the value of x into the given function.

Thus,

y = 5*2³

y = 5*8

y = 40

1/10 (x + 11) = -2 (8 - x)

Answers

Answer: (5/8)x

Step-by-step explanation:

¹/₁₀(x+11) = -2(8-x)
multiply both side by 10

x + 11 = -20 (8-x)

x + 11 = -160 + 20x

11 + 160 = 20x-x

171 = 19x

x =9

Identify the correct table for the following equation: Y=3x + 7 ( look at the picture for answer choices )

Answers

Answer:

The first choice is the right answer.

Step-by-step explanation:

Y = 3x+7

First choice

y = 3(0) + 7 = 7

y = 3(1) + 7 = 10

y = 3(2) + 7 = 13

second choice

y = 3(7) + 7 = 28. output on table shows 0

third choice

y = 3(0) + 7 = 7

y = 3(1) + 7 = 10 doesn't work as y output in third choice says 8

fourth choice.

y = 3(7) + 7 = 28 output on table shows 0

A refrigerator costs $429 to buy and its label says that estimated energy costs are $43 per year. Another brand costs $399, but its energy costs are $48 per year. If x is the years of ownership and y is the total dollars spent, write the ordered pair (x,y) that shows at what point the owner would have spent the same amount of money on either brand.

Answers

Answer:

(6, 687)

Step-by-step explanation:

Find the value of b. Round your answer to the nearest tenth.

Answers

Answer:

You need to include a picture because there is no figure. I don't know the other numbers of the angles orsides.

Step-by-step explanation:

Tina is going on a 5 day trip. She has 1 blue shirt, 1 red shirt, 1 white shirt, 1 green shirt, and 1 grey shirt. What is the probability that Tina will wear blue on the first day of her trip and then wear grey on the second day of her trip?

Answers

Answer:

1/20

Step-by-step explanation:

1/5 chance she will wear the blue shirt on the first day and 1/4 chance she will wear a grey shirt on the second day.

1/5 X 1/4 = 1/20

Answer:

i got 1/20 as my answer

Question 1 options:

3


8


12


2.5

Answers

Answer:

2.5

Step-by-step explanation:

(I'm assuming you're doing this the same way I learned it, if not I'm sorry if it doesn't make sense)

[tex]\frac{2}{x}[/tex]=[tex]\frac{12}{15}[/tex]

Cross multiply

12x=30

Divide

x=2.5

This is just one way to do the problem. An easier way is to simplify the fractions.

[tex]\frac{2}{x}[/tex]=[tex]\frac{4}{5}[/tex]

You can either cross multiply or figure out that 2 is half of four and simply divide 5 by 2 which will also result in 2.5

What is the ratio of raisins to peanuts represented by this table
Cups of peanuts 1 2 3
Cups of raisins 2 4 6

Answers

Answer:

cups of peanuts 6

cups of raisins 12

cups of peanuts : cost of raisins

6:10

In Sally's grade, there are 60 students. Currently, 10% of them are enrolled in health. How
many students are enrolled in health?

Answers

Answer:

6 Students

Step-by-step explanation:

10% of 60 is 6.

6 students I think 60-90%

PLEASE HELP

3 dozens = _______ units

Answers

36 units
Hope this helps u hon :)

Answer:

36 unit

Step-by-step explanation:

1 dozen= 12 units

3 dozen = 12 × 3 = 36 units

What is three and 61×4 and five

Answers

Answer: 252

Step-by-step explanation:

The answer of 3.61*4.5=16.245

I need the answer too all of these:

1. 7x + 1x = ?

2. 6 + 1 + 5x = ?

3. 4x + 7x + 3 - 2 = ?

4. 6x + 6 + 8 + 1x = ?

5. 7x - 7x + 2 = ?

6. 3x + 6 + 1x = ?

7. 8- 8x - 3 = ?

8. 2x - 5 + 2 =


HELP ASAPP ​

Answers

1. 8x
2.5x+7
3.11x+1
4.7x+15
5.2
6.4x+6
7.8x-11
8.2x-3
1.) 8x

2.) 7 + 5x

3.) 11x + 1

4.) 7x + 14

5.) 2

6.) 4x + 6

7.) 8x - 5

8.) 2x - 3
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