The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ​ft, the liquid boils at 199.42°F. At an altitude of 4700 ​ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the​ liquid, in degrees​ Fahrenheit, in terms of altitude​ a, in feet. What is the boiling point of the liquid at 2500 ​ft?
Write an equation.
b=nothing

Answers

Answer 1

Answer:

The boiling point of the liquid it 210.25°F

Step-by-step explanation:

Linear Modeling

Some real-life events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to build the model and predict unknown behaviors.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

We are given the following points (H,A) where A is the altitude and P is the boiling point of a certain liquid: (8200,199.42) and (4700,206.07)

Applying the formula:

[tex]\displaystyle B-199.42=\frac{206.07-199.42}{4700-8200}(A-8200)[/tex]

Calculating:

[tex]\displaystyle B-199.42=\frac{6.65}{-3500}(A-8200)[/tex]

[tex]\displaystyle B-199.42=-0.0019(A-8200)[/tex]

[tex]\displaystyle B-199.42=-0.0019A+15.58[/tex]

[tex]\displaystyle B=-0.0019A+15.58+199.42[/tex]

The equation is:

[tex]\displaystyle B=-0.0019A+215[/tex]

Finally, we calculate the boiling point at A=2500 ft:

\displaystyle B=-0.0019*2500+215

B = 210.25°F

The boiling point of the liquid it 210.25°F


Related Questions

A large tank holds 1.9 x 10^7 gallons of oil. How much oil can be stored in 9 tanks. Write your answer in scientific notation.

Answers

Answer:

1.71 × 10^8 gallons

Step-by-step explanation:

1.9 × 10^7 = 19,000,000

19,000,000 × 9 = 171,000,000

171,000,000 in scientific notation is 1.71 × 10^8

negative 12 minus negative 13

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Answer:

jflsnfjclewndlsfjnenqwpcpoop

Step-by-step explanation:

Hehe

i’m pretty sure -12 - -13 is -25.

what is the slope of y=45x

Answers

Answer:

45/1

Step-by-step explanation:

45x is the rate at which the line goes up

On a factory floor, 65 out of every 140 toy robots is defective. What percent of the toy robots are defective? Round your answer to the nearest hundredth.

Answers

Answer:

65/140

as a percentage is 46.43

hundredth rounding

46.4

Step-by-step explanation:

please help me and my mom can't figure it out at all​

Answers

Answer:

simple

Step-by-step explanation:

p= 30

hahahaha asking how

ok let's go

that 90°is also 90°in those angles around it

for the 140

sum of angles in a straight line =180

180-140

that's 40

90+40 =130

then sum of angles in a triangle=180

therefore 180-130=50

MAGIC/WISDOM

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Please help me I appreciate it

Answers

Answer:

m∠SRT = 33°     ∵ m∠QRT = m∠SRT

Step-by-step explanation:

Given the diagram,

RT bisects ∠SRQ, and m∠QRT = 33°

RT bisecting ∠SRQ means RT will bisect ∠SRQ into two equal angles, which are:

m∠QRT = m∠SRT

as

m∠QRT = 33°

so

m∠SRT = 33°     ∵ m∠QRT = m∠SRT

PLEASE HELP FASTT!!!!!!!!!!!!!!!!!!!!!!Determine whether each ratio is equivalent to 1/2,3/9, or 5/7.
Write the ratio in the correct box.

Answers

1/2- 3/6 5/10 50/100
3/9- 2/6 1/3
5/7- 10/14 20/28

Subtract. Write your answer as a fraction in simplest form.

5/8 - (-7/8)= ???

Answers

The answer has a mixed reaction is 1 1/2 but as an improper fraction is it 3/2!

Ruby has $2.10 in nickels and dimes.
She has three as many dimes as nickels. How many nickels and dimes does she have?

Answers

Answer:

$

Step-by-step explanation:

Unit conversion is the conversion of one unit to another unit with its standard conversion.

20 nickels = $1

10 dimes = $1

1 nickel = 5 cents

1 dimes = 10 cents

The number of nickels is 5.

The number of dimes is  15.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 1000 m

We have,

20 nickels = $1

10 dimes = $1

1 nickel = 5 cents

1 dimes = 10 cents

Now,

Let,

Dimes = 3x

Nickels = x

Now,

The total number of cents.

10(3x) + 5x = 180

30x + 5x = 180

35x = 180

x = 5.14

x = 5

Now,

3x = 3 x 5 = 15

Thus,

The number of nickels is 5.

The number of dimes is  15.

Learn more about unit conversion here:

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helppppp nowwwwwww plsss​

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Answer:

c!

Step-by-step explanation:

good luck! :)

the quoitent of two numbers is negative . what must be true about tthe two numbers

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They have opposing values due to integers: 2 positive numbers are positive , 2 negative numbers are positive, and 1 positive and 1 negative are negative.
One is positive and one is negative.

if you have a class with 32 students and 16 of them are boys how many girls are there in the class ​

Answers

Answer: if there are 32 students in the class and 16 are boys so the other half well be 16 girls. 16 + 16 = 32. Sooo the answer is 16 girls

Step-by-step explanation:

Given that a baby is 8month and her elder sister is 4 years old, express their ages as a ratio​

Answers

Answer:

11.10

Step-by-step explanation:

may be not sure about it

Answer:

1:6

Step-by-step explanation:

1 year = 12 months

4 year = 4 × 12 months

          = 48 months

Baby = 8 months

Elder sister = 48 months

B  :  ES

8  :  48

÷8:÷8

1  :  6

Sarah earned $36.00 mowing lawns. She saved 1/6 of her money. After saving, how much money does Sarah have left?

Answers

$6 is the amount she has left over

The area of a rectangle is 102 cm, if it's breadth is 6 cm find the length.

Need it ASAP

Answers

Step-by-step explanation:

A=102cm2

A=Lengthxbreadth

102=Lengthx6

Length=17 cm

WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!

Write the equation of the line with a slope of -1.6 and a y-intercept of 4 in slope-
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Answers

Answer:

y = -1.6x + 4

Step-by-step explanation:

y = mx + b

y = (-1.6)x + (4)

y = -1.6x + 4

The equation of line with a slope of -1.6 and a y-intercept of 4 in slope- intercept form is,

⇒ y = - 1.6x + 4

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

Slope of the line (m) = - 1.6

And, The y - intercept = 4

We know that;

The slope intercept form of an equation of line is,

⇒ y = mx + b

Where, 'm' is slope of the line and 'b' is y - intercept of the line.

Hence, The equation of line with a slope of -1.6 and a y-intercept of 4 in slope- intercept form is,

⇒ y = mx + b

⇒ y = - 1.6x + 4

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Match the term to its meaning.

Answers

Answer:

Step-by-step explanation:

1. commission

2. percent

3. repeating decimal

4. terminating decimal

5. tip

what is the solution to 2/3(9x-6)=4(x+2)+2

Answers

Answer:

7

Step-by-step explanation:

Which expression is equivalent to 1/8 - 3/8?

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Answer:

2/16-6/16

Step-by-step explanation:

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The answers are Tuesday and Friday

Please help with math homework!!

Answers

Answer:

y = 0.75x + 53.67

Step-by-step explanation:

Answer:

y=53.67+0.75x

Step-by-step explanation:

53.67 is the initial price upon paying to rent the car. 0.75 is for additional mile, so it is multiplying x in order for it to count for the mileage. Finally it is equivalent to Y because Y will be the final cost.

The owner of a large fast food chain is considering whether to re-open the dining rooms of his restaurants now that it is legal in the state of Georgia. He is interested to know what percentage of his employees support the re-opening, so he decides to conduct a survey. (a) Which of the following plans would be more likely to produce a sample statistic very close to the true percentage who support re-opening? A simple random sample of 34 employees A simple random sample of 340 employees Both plans are equally likely to get this result, since they are both random samples. (b) He thinks it would be easier to sample employees by randomly selecting franchise locations (individual restaurants) and asking managers to administer surveys to all the workers at the selected restaurants, what kind of sampling method should he use? a) Cluster sample b) Systematic sample c) Convenience sample d) Stratified sample

Answers

Answer:

a)  A simple random sample of 340 employees

b)  a) Cluster sample

Step-by-step explanation:

a) Remember, the sample size of most research work is a factor to consider in other to determine if the data collected represents the true percentage of the entire population.

Hence, a small random sample of 34 employees will not give more precise information than a larger sample of 340 employees because the larger sample contains more representation of the population.

b) A cluster sample is best used in this case because it involves dividing the population into several clusters or groups, then the researcher randomly selects a particular cluster or group in other collect research data for analysis.

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In simplest form, what is the quotient of 1 = ?​

Answers

Answer:

Do u mind reposting ur question-? I dont quite undersatnd what u're asking ;-;

Step-by-step explanation:

Skyler has twice as many apples in her grocery bag as her
friends Macy and Janelle combined. Macy has 15 apples
in her bag. Skyler has 50 apples in her bag. How many
apples does Janelle have in her grocery bag?
The equation 2(x+15) = 50 models this situation. Which choice shows the
sequence of operations needed to solve this problem, using both arithmetic
and algebra?
WILL GIVE BRAINLIEST

Answers

Answer:

Skyler has 130 apples in her bag

Step-by-step explanation:

well first you have to add 15 and 50 and get 65 then you have to multiply 65 by two and get 130

please give brainliest

the correct answer is to

divide by 2:

2(x+15)/2 =50/2

(x+15)=25

subtract 15:

x+15-15=25-15

x=10

how many ways can 3 yearbooo posters out of a total of 6 posters be displayed across a wall?

Answers

Answer:

69

Step-by-step explanation:

2x + y + z = 9
-x-y +z = 1
3x - y +z=9

Answers

Answer:

603 hope this helps

Answer:

x = 2

y = 1

z = 4

Step-by-step explanation:

Step 1:

2x + y + z = 9

3x - y = z = 9

5x + 2z = 18 <-- add x and y

Step 2:

-x -y + z = 1

2x + y + z = 9

x + 2z = 10

Step 3:

-(x + 2z = 10) = -x - 2z = -10

5x + 2z = 18

-x - 2z = -10

4x = 8

x = 2

Step 4: solve for z

-x - 2z = -10 <-- Plug x

-(2) - 2z = -10

-2z = -8

z = 4

Step 5: solve for y

2x + y + z = 9

2(2) + y + 4 = 9

8 + y = 9

y = 1

I’m going to continue using up all my points
if you want brainliest, answer at least one of these questions:

What is the most embarrassing thing you’ve done in your life?

or

What is your favorite animal? (If you don’t have one, say your favorite foods or color)

Answers

Answer:

My favorite color is purple (any shade of purple) My favorite animal is between birds and dogs. Have an amazing day!

What is the domain of this function?
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A (2, 6, 8)
B. (2, 6, 8,3, 5)
C. (-1,3, 5)
D. (3)

Answers

It's Letter C. 1 3 and 5

that's the domain

this assignment is due tomorrow please help :(

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the answer would be 9 units squared hope this helped(:

Answer:9

Step-by-step explanation:

I think it’s 9 as the area of a parallelogram is A=bh. The height is 3 as well as the base so times them together equates to 9.

Factored quadratic equation for (x + 10)(x -2)=0

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It’s x1=-10 ,x2 = 2 it has 2 solutions x=2 or x=-10
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