The constant pi is by definition the ratio of the circumference to the diameter.
π=C/d
Answer:
1. 24 quarts. 2. 85 seconds.
Step-by-step explanation:
1. We need to know how many 2/3 are in 4.
if 3/3 are in 1 cup, then 12/3 are in 4 cups.
there are 6 twos in 12, so there are 6*2/3 cups in 4 cups.
Each 2/3 needs 4 quarts of green, and we have six times that.
6*4 = 24, so we need 24 quarts of green paint.
2. The 12.75 miles would go in the "d" or distance part of the equation.
d = 0.15t
12.75 = 0.15t (divide both sides by 0.15)
12.75/0.15 = 0.15t/0.15
t = 85, so 85 seconds.
12.75 miles isn't the distance between the two cities, it's much farther, so this answer makes sense.
If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate 
.
We have
Expand the numerator using the binomial theorem, then simplify and compute the limit.
In general, the derivative of a power function 
is 
. (This is the aptly-named "power rule" for differentiation.)
