Answer:
5.714 liters of the 5% solution and 4.286 of the 40%.
Step-by-step explanation:
Let x be the volume of 40% solution and y = volume of the 5% solution.
x + y = 10
0.40x + 0.05y = 0.20(x + y)
From the first equation x = 10 -y so we have:
0.40(10 - y) + 0.05y = 0.20( 10 - y + y)
4 - 0.40y + 0.05y = 2
-0.35y = -2
y = 5.714 liters of the 5%.
and x = 10 - 5.714 = 4.286 liters of the 40% solution.
Step-by-step explanation:
Answer:
113.04 cm
Step-by-step explanation:
We know the formula to find the area of a circle is

And we are told to use 3.14 instead of pi so what we have now is,

We are also told the radius, r, is 6. So our equation now looks like this,
is the same as 36, because 6x6 is 36.
Now we have,
Which equals 113.04 and that is the area!
Hope that helps and have a great day!
Answer:
Hi! The correct answer is 8/21!
Step-by-step explanation:
<em><u>~Simplify the expression~</u></em>
If

then

The ODE in terms of these series is



We can solve the recurrence exactly by substitution:


So the ODE has solution

which you may recognize as the power series of the exponential function. Then
