Let x gallons be the amount of pure antifreeze that should be added to the 30% solution to produce a solution that is 65% antifreeze. Then the total amount of antifreeze solution will be x+3 gallons.
There are 30% of pure antifreeze in 3 gallons of solution, then
3 gallons - 100%,
a gallons - 30%,
where a gallons is the amount of pure antifreeze in given solution.
Mathematically,

Now in new solution there will be x+0.9 gallons of pure antefreeze.
x+3 gallons - 100%,
x+0.9 - 65%
or

Answer: he should add 3 gallons of pure antifreeze.
we are given

For finding asymptote , we can find limit


now, we can solve it


so, horizontal asymptote is
.............Answer
Answer:
The initial velocity of the particle is
v' = -6 - 6.2 = -18 ft/s
at t = 5s, the velocity is v = -18 + 6.5 = 12 ft/s
the position is

the total distance traveled is

Answer:
This number can be found using the Rule of 70, which describes the formula dt = 70 / r, where dt is the doubling time, and r is the annual rate of growth.
Step-by-step explanation:
24/6 = 4
20 x 2 = 40 x 2 = 80 x 2 = 160 x 2 = 320
20 ---> 320 in the first day.
Keep doing this equation. Multiply each day's end result by 2 four times for 9 more days.
Answer:
V = 4000 ft³
Step-by-step explanation:
if diameter is 20 then radius is half that, or 10
use formula:
V = 4/3(3)(10)³
V = 4(10)³
V = 4(1000)
V = 4000 ft³