Since it is perpendicular to y=3x-1, the slope must be a negative reciprocal.
there the slope of the perpendicular line is

So now we have,

To find b, we use the point that the line passes through and substitute it to the y and x values.

which would give us b=5/3
Therefore, the equation of the line is
In 1414 hours it covered 700 miles
In 1 hour it would have covered (700/1414) mile
In 33 hours it will then cover : 700/1414 * 33 = 16.34
So in 33 hours it will cover ≈ 16.34 miles.
Answer:
The model for the temperature of the drink can be written as

Step-by-step explanation:
For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.
We can model that in this way

If we rearrange and integrate

We know that at time 0, the temperature of the drink was 52°F. Then we have:

We also know that at t=2, T=55°F

The model for the temperature of the drink can be written as

Answer:
m = 11
Step-by-step explanation:
Given
(m + 4) = 6 ← multiply both sides by 5 to clear the fraction
2(m + 4) = 30 ( divide both sides by 2 )
m + 4 = 15 ( subtract 4 from both sides )
m = 11
This method avoids having to deal with awkward fractions