The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8400 ft, the liquid boils at 198.04°F. At an altitude of 4400 ft, the liquid boils at 205.64°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 2400 ft?

a) The equation giving the boiling point of the liquid is .

b) The boiling point of the liquid at 2400 feet is 209.44 degrees Fahrenheit.

Step-by-step explanation:

a) From the statement of the problem, we understand that boiling point of a liquid is represented by the following linear function in terms of altitude:

(Eq. 1)

Where:

- Temperature as a function of altitude, measured in degrees Fahrenheit.

- Altitude, measured in degrees Fahrenheit.

, - Lower and higher temperatures, measured in degrees Fahrenheit.

, - Lower and higher altitudes, measured in feet.

If we know that , , , , then we find that the equation giving the boiling point of the liquid is:

(Eq. 2)

The equation giving the boiling point of the liquid is .

b) If we know that , then the boiling point of the liquid at such altitude is:

The boiling point of the liquid at 2400 feet is 209.44 degrees Fahrenheit.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

answer: -0.5 would be the most likley outcome

step-by-step explanation: