The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8100 ​ft, the liquid boils at 203.66 degrees F. At an altitude of 4700 ​ft, the liquid boils at 208.42 degrees 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 2600 ​ft?

Answers

Answer 1

9514 1404 393

Answer:

b = -0.0014a +215211.36 °F

Step-by-step explanation:

We are given two points: (a, b) = (8100, 203.66) and (4700, 208.42). We can use these in the 2-point form of the equation for a line

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . . . . . line through (x1, y1) and (x2, y2)

Using the given values, we have ...

  b = (208.42 -203.66)/(4700 -8100)(a -8100) +203.66

  b = 4.76/-3400(a -8100) +203.66

  b = -0.0014a +215 . . . . . simplify

__

At 2600 ft, the boiling point is ...

  b = -0.0014(2600) +215 = 211.36 °F


Related Questions

Find the perimeter of the shaded region of this composite figure. ​

Answers

Answer:

perimeter of shaded region:

area of rectangle- area of semicircle

l×b‐(pie r²) diameter of circle‐6m; Radius‐3

8×6‐(3.14×3×3)

42— 28.26=13.74m

HOPE IT WILL HELP YOU

I need help please ​

Answers

Answer: SAS

Explanation: There are two sides that are congruent and there is one vertical angle between them which are always congruent.

zora recently got an afterschool job to save money to buy a car. She opened a savings account and deposits a fixed amount each week so that she can quickly meet her savings goal. The table below shows the relationship.

Answers

Answer:

40

Step-by-step explanation:

The initial value of the function is 40, which represents the amount of money she deposits each week

Divide 6 divided by 3/5


Answer only if u know please:)

Answers

Answer:

The answer is 10 or 10/1

30 cents in each dollar is a paid tax. what fraction is paid in tax? what percentage is not paid in tax?please i need an answer within 10 minutes I'm In an exam ​

Answers

Answer:

30 cents of a dollar is 30% tax paid and 70% not paid.

A dollar is 100 cents.

Step-by-step explanation:

Is this a function? Yes or No?!

{(1, 14), (2, 28), (3, 42), (4, 52), 5, 52)}

Answers

Answer:

Yes

Step-by-step explanation:

This is a function because each x value is given one y value. More simply, no x value was repeated.

can someone motivate me to do my math homework?!

Answers

Math is basically useless rn but it’s the last week until Christmas break just 2 days left finish your math so your not stuck doing it later!! and enjoy your time off as much as you can!

Write the slope-intercept form of the equation of the line given the slope -7 and y-intercept is 4.
y = -3x
y = 11
y = 4x - 7
y = -7x + 4

Answers

It’s D because slope intercept form is y=mx+b which is y = -7x + 4
hello!

------------------------------------------------------------------------------------------------------

We are given:-

[tex]\bigstar[/tex]Slope :- -7

[tex]\bigstar[/tex] y-intercept:- 4

To find:-

[tex]\bigstar[/tex] the line's equation (in slope intercept form)

Slope intercept form looks like so:-

[tex]\bigstar[/tex]y=mx+b

where

m -> slope & b -> y-intercept

Plug in the values:-

(instead of m, plug in -7, and instead of b, plug in 4:

[tex]\bigstar{\boxed{\pmb{y=-7x+4}}[/tex]

-------------------------------------------------------------------------------------

note:-

Hope everything's clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Prove that (x+y)(x-y)+(y+z)(y-z)+(z+x)(z-x)=0

Answers

Answer:

x=0 x=y=z. with these presumed variable amounts, one can conclude that the equation you asked is equivalent to 0

Answer:

Step-by-step explanation:

(x+y)(x-y)+(y+z)(y-z)+(z+x)(z-x)

=x²-y²+y²-z²+z²-x²

=0

Harold and his friend Bill each collect vintage action figures. Harold already has
18 action figures and adds 3 more figures to his collection each month. Bill
already has 24 action figures and adds 2 more to his collection each month. Let x
represent the number of months, and y represent the number of action figures.
Which equations can be used to find how long it will take before the friends each
have the same number of action figures?

Answers

Harold: y = 3x + 18

Bill: y = 2x+24

Hope this helps with your mid-term too guys !

A password is 4 characters long, consisting of 2 letters and 2 numbers. The password must begin and end with a
letter. If numbers can be repeated but letters cannot, how many possibilities are there?
a. 65,000
b. 60,840
c. 58,500
d. 52,650

Answers

Answer:

a.

65,000

Step-by-step explanation:

There are 65000 possibilities of 4 character-password

What is a password?

A password is a security code that is used for verifying identities

The password has 4 characters.

The password must begin and end with a letter.

So the selections are:

First = 26

Last = 25

The other selections are:

Second = 10 digits

Third = 10 digits

So, the number of password is:

Password = 26 * 10 * 10 * 25

Evaluate

Password = 65000

Hence, there are 65000 possibilities of 4 character-password

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PLS HELP !! I WILL GIVE BRAINLIEST !!! I JUST NEED THE ANSWER WITH A SENTENCE EXPLANATION !!!

Answers

Answer:

Blue

Step-by-step explanation:

Hard to explain just trust.

Answer:

Blue

Step-by-step explanation:

because A has a right angle so it's

does 3,34 satisfy the equation y= 8x + 10

Answers

8(3)+10=34
24+10=34
34=34

It does

Answer:

Let y=34 and x=3

Step-by-step explanation:

y = 8x + 10

34 = 8 (3) + 10

34 = 24 + 10

34 = 34

Hence,3 and 34 satisfies this equation.

1/3+ 1/8 show your work a with equation
please hurry ​

Answers

Answer: 11/21

Step-by-step explanation:

Answer:

11/24 or 0.453

Step-by-step explanation:

1/3 + 1/8

1/3 × 8/8 = 8/24

1/8 × 3/3 = 3/24

8/24 + 3/24 = 11/24

I really need help with this.​

Answers

which number do you need help one

Simplify the following equation (2^3)^-2

Answers

Multiply the exponents
3 * -2 = -6
It would be 2^-6
Format: a^-b = 1/a^b
1/2^6 = 1/64
The solution is 1/64


Dinner at your grandfather's favorite restaurant now costs $25.25 and has been increasing steadily at 4% per year. How much did it cost 35 years ago when he was courti
your grandmother?

Answers

Why would my grandfather charge me to eat at his restaurant? I’m family aren’t I?

Which graph represents the function r(x) = |x -21-1
+
+
-6-5-4-3-2-1,

+4
1Y
45
1
-1
1123
45
6
3-2
-IN
-2
-
.
O

Answers

its the last one! Also if you dont know what I mean by this is, its the 4th one. You Welcome Merry Christmas

The graph that represents the function is graph (a)

How to determine the graph?

The function is given as:

r(x) = |x -2|-1

The above function is an absolute value function that is shifted to the right by 2 units, and shifted down by 1 units from its parent function f(x) = |x|

Hence, the graph that represents the function is graph (a)

Read more about absolute value graphs at:

https://brainly.com/question/2473412

PLEASE HELP ME ASAP!!!! My entire grade depends on these questions and I need to show the work that go me there
I know it is a long one, but I am giving away all of my points!!! I know most of the answers, but for all exept the graphing questions the work needs to be shown!
Consider the quadratic function.
f(x)=-(x+4) (x-1)
(a) What are the x-intercepts and y-intercept?
(b) What is the equation of the axis of symmetry?
(c) What are the coordinates of the vertex?
(d) Graph the function on the coordinate plane. Include the axis of symmetry.


Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the
development of a recreational park on the west side of town. A community action group interested in
preserving the environment claims that 45% of the town’s residents favor the development of a recreational
park.
To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the
simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population?
(b) The margin of error of the population proportion is found using an estimate of the standard deviation.
What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using the half the range.
What is the interval estimate of the true population proportion?
(d) Is the community action group’s claim likely based on either interval estimate of the true population
proportion? Explain.

Solve the system of equations. Show your work.
y=x^2-3x+4
x+y=4

Answers

Answer:

Answers are in bold

Step-by-step explanation:

Part 1A

Use the Zero Product Property to find the x-intercepts:

0=-(x+4)(x-1)

0=(x+4)(x-1)

0=(x+4)

-4=x

x=-4

0=(x-1)

1=x

x=1

So the x-intercepts are x=-4 and x=1 which is also (-4,0) and (1,0)

For the y-intercepts, plug in x=0:

f(x)=-(0+4)(0-1)

f(x)=(-4)(-1)

f(x)=4

So the y-intercept is y=4 which is also (0,4)

Part 1B

In general, the axis of symmetry is equal to x=h in the equation y=(x-h)^2+k

For a parabola, the axis of symmetry is equal to x=-b/2a, so we expand the given equation and then plug in the values of "a" and "b" to get the axis of symmetry:

f(x)=-(x+4)(x-1)

f(x)=-(x^2+3x-4)

f(x)=-x^2-3x+4

So now we know a=-1 and b=-3, therefore we can plug them in:

x=-b/2a

x=-(-3)/2(-1)

x=3/-2

x=-3/2

x=-1.5

So the equation of the axis of symmetry is x=-1.5

Part 1C

We'll use the equation x=-b/2a to get the x-coordinate for the vertex (which we already know is x=-1.5), then plug in that value of x in the original equation to get the y-coordinate for the vertex:

f(x)=-(-1.5+4)(-1.5+1)

f(x)=-(2.5)(-0.5)

f(x)=-(-1.25)

f(x)=1.25 <-- y-coordinate

So the coordinates of the vertex are (-1.5,1.25)

Part 1D

See the image below

I'll let someone else do the last 4 questions as I am unable to answer them.

Which of the following terms correctly describe the object below?
Check all that apply.
O A. Solid
B. Pyramid
c. Prism
OD. Polyhedron
E. Polygon
OO
O F. Triangle

Answers

Answer:

A. Solid

B. Pyramid

c. Prism

Step-by-step explanation:

Hope it helps you in your learning process.

The terms that correctly describe the object are prism, pyramid, and solid.

Options A, B, and C are the correct answer.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

A prism is a solid geometric shape that has two identical parallel bases, which are typically polygons, and the sides of the shape are parallelograms.

A pyramid is a solid geometric shape that has a polygonal base and triangular faces that meet at a common point called the apex.

A solid is a three-dimensional object that occupies space and has a definite shape and volume.

A polyhedron is a three-dimensional solid that has flat faces, straight edges, and vertices (corners) where the edges meet.

A polygon is a two-dimensional shape that has straight sides and angles and is typically closed (meaning that its sides connect to form a closed shape).

A triangle is a three-sided polygon, meaning it has three straight sides and three angles.

Thus,

The terms that correctly describe the object are prism, pyramid, and solid.

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ7

help plzzzzzzzzzzzzzz ​

Answers

Answer:

i am not sure try 56

Step-by-step explanation:

Hope this helps!:)

URGENT!
How do you I know if there's 2 possible triangles for an ambiguous case?

Answers

Answer: ?Once you find the value of your angle, subtract it from 180° to find the possible second angle. Add the new angle to the original angle. If their sum is less than 180°, you have two valid answers. If the sum is over 180°, then the second angle is not valid??????

Step-by-step explanation:

Y=-2x+9 answer to this question

Answers

Answer:

5.5

Step-by-step explanation:

Explain why 186, 426 is divisible by both 3 and 9

Answers

Answer:

If the sum of the digits is divisible 3 and 9

Step-by-step explanation:

The height of a firework shot upward from the ground with the initial velocity of 10meters per second is represented by the function h(t) = - 16t2 + 4t How long did it take the firework to reach the ground

Answers

Answer:

0.375 seconds

Step-by-step explanation:

In simple terms, to find the time it took to reach the ground, we need to find t from the equation.

If we differentiate h with respect to t we will get the velocity with which the fireworks is moving at.

[tex]h(t) = - 16t^2 + 4t.\\dh/dt =-32t +4[/tex]

We can now equate this to its velocity and solve for t

10 = -32t +4

t = 0.1875 ( time cannot be negative in value, so we ignore the negative sign)

Therefore, the time it took the fireworks to reach the ground is = 2 x 0.1875= 0.375 seconds.

(We need to account for the fact that the fireworks went up and came down)

HELP HELP PLEASE IM BEGGING YOUUU

Answers

Answer:

Area=615.75

Step-by-step explanation:

A=πr2

Seriously I have helped you twice in 5 minutes.

are you smarter than a 7th grader get your answers by answering this question please please please please please

Answers

Answer:

F

Step-by-step explanation:

8 - (2-3) -1 = 8

6 - (-2) = 8

8-(2-3)-1=6-(-2)

A model car is built to a scale of 1 in. : 2.5 ft. If the model is 5.8 in. Long how long is the car in real life?

Answers

Answer:

14.5 ft

Step-by-step explanation:

We are told that the model car is built to a scale of 1 in. : 2.5 ft.

That means 1 inches represents 2.5 ft in actual measurement.

Thus, for a 5.8 inch long model, the real life measurement is;

(5.8 inch × 2.5 ft)/1 inch = 14.5 ft

Can an isoceles triangle be an obtuse triangle? Explain. ​

Answers

Answer:

it can and cant at the same time.

Yes, the hypotenuse must be longer than both of the other sides though for it to be obtuse.

Find the first five terms of the following sequence, not including the oth term:
t(n) = 25+ 8n

Answers

Answer:e

B

Step-by-step explanation:

Eb

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