Answer:
At t=1, Rate of Change=-36.86
At t=10 hours, Rate of Change =-0.0088
Step-by-step explanation:
The function which describes the number of facts of a certain type which are remembered after t hours is given as:

To determine the Rate of Change at the given time, we first look for the derivative of f(t).
Applying quotient rule:

At t=1

=-36.86
At t=10 hours

=-0.0088
Answer:
y = (2/3)x -1
Step-by-step explanation:
The line crosses the y-axis at -1, so that is the y-intercept.
From that point. the next grid intersection is 3 units to the right and 2 units up, so the slope is ...
m = rise/run = 2/3
The slope-intercept form of the equation of a line is ...
y = mx +b . . . . . where m is the slope (2/3) and b is the y-intercept (-1)
Your line has equation ...
y = (2/3)x -1
Answer:
A: 12
Step-by-step explanation:
Using the pythagoreom theorem, a^2+b^2=c^2. We can plug in the lengths of 5 and 13 which is 5^2+b^2=13^2. Now we can square the numbers to get 25+b^2=169. Subtract 25 from 169 to get 144. Now find the square root of 144 which is 12.