Answer:
Constant of proportionality: 
Equation: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:

Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:

Then, the first step is to find the Constant of proportionality "k".
Knowing that:

We can substitute values into the equation:

Now, solving for "k", we get:

Therefore, we can write the following equation that represents that proportional relationship:

300 kelvin is greater.
300 kelvin equals approximately 26.85°C
Answer:
A
Step-by-step explanation:
Given:
A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.
To find:
The coordinates of that point.
Solution:
Section formula: If point divides a line segment in m:n, then the coordinates of that point are

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get




Therefore, the coordinates of the required point are (0,3).
Answer:
Step-by-step explanation:
dy/dx = d/dx log root under x-1 / root under x+1
dy/dx = root under x+1 / root under x-1 * 1/(x+1)^2/3 * 1/root under x-1
dy/dx = (x+1)^2/ x-1