Answer:
10.30721
Step-by-step explanation:
This requires conversion, this is Liters to Gallons.
1 LITER= 0.26417205
so knowing this info. we just plug in
39 L = 10.30721 gallons
Hope this helped! :)
Answer:
and 
Step-by-step explanation:
The equation of curve is

We need to find the equation of the tangent line to the curve at the point (-3, 1).
Differentiate with respect to x.
![2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})](https://tex.z-dn.net/?f=2%5B2%28x%5E2%2By%5E2%29%5Cfrac%7Bd%7D%7Bdx%7D%28x%5E2%2By%5E2%29%5D%3D25%282x-2y%5Cfrac%7Bdy%7D%7Bdx%7D%29)

The point of tangency is (-3,1). It means the slope of tangent is
.
Substitute x=-3 and y=1 in the above equation.





Divide both sides by 130.

If a line passes through a points
with slope m, then the point slope form of the line is

The slope of tangent line is
and it passes through the point (-3,1). So, the equation of tangent is


Add 1 on both sides.


Therefore,
and
.
Answer:
1. 4
2. 9
3. <
Step-by-step explanation:
The ratio 4 to 5 means that the left model should have 4 segments shaded (out of 5 given).
The ratio 9 to 10 means that the right model should have 9 segments shaded (out of 10 given).
Compare the shaded regions. If you draw the horizontal line in the left model. then there will be 8 segments shaded (out of 10), this means the ratio 4 : 5 is less than the ratio 9 : 10.
600 in3
Work:
8•15
120•10
1200/2
=600in3
3^(4x) = 3^(5 - x)
4x = 5 - x
4x + x = 5
5x = 5
x = 5/5 = 1
x = 1