Answer:
The radius of the balloon is increasing at a rate of 4 feet per minute.
Step-by-step explanation:
We are given the following in the question:

Volume of sphere is given by

where r is the radius of the balloon.
Instant radius, r = 2 ft
Rate of change of volume =

Putting values, we get,

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.
Answer:
-3/5
Step-by-step explanation:
to figure that out you have to do y^2 - y^1/ x^2 - x^1
2-(-1)/ -3 - 2
= 3/-5
=-3/5
Answer:
The possible rational roots are

Step-by-step explanation:
We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.
The factors of constant term are 
The factors of leading coefficient are 
From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.

Answer:
1 and -1
Step-by-step explanation:
The absolute value means that the answer will always come out as positive, meaning that both 1 and -1 fit in this equation.
Answer:
BG = 8
EXPLANTAION :
we know that centroid of a triangle divides the median into ratio of 2 : 1 so,
BG : GF = 2 : 1
now, let's take BG as 2x and GF as x
and here, BG + GF = BF
So,
=》2x + x = 12
( because, BF = 12 )
=》3x = 12
=》x = 12 ÷ 3
=》x = 4
hence, x = 4
from here,
=》BG = 2x
=》BG = 2 × 4 = 8