Since z is proportion to the x
z = a x
190 = a 10
a = 19
when x = 13
z = a x
z = 19 * 13
z = 247
That's "5 to the negative seventh power," and is equal to
1 1
---------- = --------- . I would accept "1/(5^7)" as correct.
5^7 78125
Answer:
9/2π cm/s
Step-by-step explanation:
Volume of the spherical balloon V= 4/3πr³
Rate of change of volume dV/dt = dV/dr * dr/dt
dV/dr = 3(4/3πr²)
dV/dr = 4πr²
dV/dr = 4π(2)²
dV/dr = 16π
If V = 72cm²/s
72 = 16π*dr/dt
dr/dt = 72/16π
dr/dt = 9/2π cm/s
Hence the radius is changing at 9/2π cm/s
P = 10 + x + 2x + 7
= (10 + 7) + (x + 2x)
= 17 + 3x
Therefore, the perimeter is 17 + 3x feet.
Your answer is... they ate 2/4 or 1/2 of the bag of popcorn.
