In terms of its radius
, the volume of the balloon is

The diameter
is twice the radius, so that in terms of its diameters, the balloon's volume is given by

Differentiate both sides with respect to time
:

The diameter increases at a rate of
. When the diameter is
, we have

or about 23,562 cc/min (where cc = cubic centimeters)
Answer:
A) −20
Step-by-step explanation:
−5/3 (−2/3 )(−18)
Multiply the first and second terms. A negative times a negative is a positive
-5/3 * -2/3 = 10/9
10/9 * -18
Rewriting for easier math
-18/9 * 10
-2 * 10
-20
Answer:
400
Step-by-step explanation:
He makes $4 per shirt ($12-$8). $1600/4 = 400. So he woud need to see at least 400 shirts to break even.
Answer:
Angle C measures: 
Step-by-step explanation:
When you know the length of the three sides of the triangle and not a single angle, the law of sines is of no use. You need to use the law of cosines. In your case, since you want to find angle "C", you use the following;
