Let 
be the constant factor between terms, so that
and so on, with
(notice how the exponent and the subscript add to 
)
Then
so if
then
Now,
so the third term in the sequence is 30.
Answer:
8 hours
Step-by-step explanation:
basic equation
Q (flow rate) = V (volume)/ t (time)
so to find the time we just rearrange the equation and become
t = V/Q
V of cylinder
V = πr²T
and r (radius) = ½ diameter
V = 3.14 x 5² x 1.4
V = 109.9 m³
if the Q is 13 m³/hour then
t = 109.9/13 = 8.453 hours
round to nearest hour = 8 hours
Since a stop sign is an octagon it has eight sides. So the perimeter will be:
p=8x, p=perimeter and x=side length. We are told that the perimeter is equal to:
16x^2-80x so we can say:
16x^2-80x=8x subtract 8x from both sides
16x^2-88x=0 factor out 8x
8x(2x-11), since we know x>0
x=11/2
x=5.5 units
180 - 48 = 132
the answer is d
$35.00 / 10 = 3.50 per can
21 cans / 3.50 per can = 6 cans
