The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8500 ​ft, the liquid boils at 199.55 F. At an altitude of 4300 ​ft, the liquid boils at 206.69 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 ​ft?

Answers

Answer 1

Answer:b = -0.0013a + 211

Step-by-step explanation:

Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .

As the question specifies to use a for altitude and b for boiling point, change the variables equation to

b is the boiling point.

m is the slope.

a is the altitude.

c is the y-intercept.

To find the slope, we can use the equation  except x is a and y is b.

The sets of information given are:

8500 ​ft, the liquid boils at 199.95°  (This can be info set 1)

4300 ​ft, the liquid boils at 205.41°  (This can be info set 2)

Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.

m = -0.0013

Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.

b = ma + c

199.95 = (-0.0013)(8500) + c  <= Simplify

199.95 = -11.05 + c

199.95 + 11.05 = -11.05 + 11.05 + c  <=add 11.05 on both sides to isolate c

c = 211  <= y-intercept

Put the y-intercept and slope into the equation of a line:

b = ma + c

b = -0.0013a + 211 <= This is the equation for the problem.


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You can use the equation rise over run, which is basically y2-y1 over x2-x1

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out of 300marks a student got 207 what is the score in percent​

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Answer: 69%

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

A kid traveled a distance of 9 km by bike, and then walked a distance of km.
a.Find the total distance traveled in terms of
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then solve it!

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question;

A kid traveled a distance of 9 km by bike, and then walked a distance of x km.

a.Find the total distance traveled in terms of  x

b. If the total distance was less than 30 km, form an inequality in x, and

then solve it!

a) Total distance = distance travelled by bike + distance walked

Total distance = 9km + xkm

Total distance = (9+x)km

b)  If the total distance was less than 30 km, the inequality representing this is;

9+x < 30

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9+x-9 < 30-9

x < 21

hence the solution to the inequality is x< 21

Find the value of x.

Answers

The answer to the question is 30

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Answers

Answer:ok well it’s 5 because if it’s below zero it’s lower so it’s 5

Step-by-step explanation:

You sure you are in high school?

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Answer

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Step-by-step explanation:

the maximum point in this case is the vertex because its the highest point of the graph

Chin bought 12 pounds of apples for $6. Use the ratio table to find the cost of buying 3 pounds of apples. *

Answers

Answer: The answer should be 1.5.

Step-by-step explanation:

$6 divided by 12 is .5... Multiply .5 by 3, seeing as 1 pound = $.5

Answer:

$.5

Step-by-step explanation:

hope this helps y'all

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Answer:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof

Answers

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

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c = √1252

c = 35.4 feet

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Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

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Step-by-step explanation:

The general form for a quadratic or cubic equation is:

y = a (x − h)ⁿ + k

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f(x) = 1 (x − -1)³ + -7

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Answers

Answer:

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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

We have been given that the upstream speed is  and the down stream speed is .

Let the fisherman traveled a distance of x miles.

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=>  

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Step-by-step explanation:

The correct answer would be; 20 miles.

[tex]MissJiao[/tex]

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

5.790/2.3=2.5173913

Answer:

2.51739130435

Step-by-step explanation:

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Answers

Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

Step-by-step explanation:

We assume that quantity of flour is proportional to butter.

Given : The recipe calls of [tex]1\dfrac14[/tex] cups of  flour  and [tex]\dfrac12[/tex] stick of butter.

Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex]      [tex]y_1=\dfrac{1}{2}[/tex]

For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

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Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.

15/2 cups of flour!

ASAP
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Answers

Answer:

Option 4

Step-by-step explanation:

What is the transformation!
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Answers

Answer:

translation

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

y = 2(x-5) + 7

Step-by-step explanation:

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