I'm taking the liberty of editing your function <span>v = e5xey: It should be
</span>
<span>v = e^5x^ey, with " ^ " indicating exponentiation.
</span>
Did you mean e^(5x) or (e^5)x? I'll assume it's e^(5x).
The partial of v = e^(5x)e^y with respect to x is e^(5x)(5)*e^y, or 25x*e^y.
The partial of v = e^(5x)e^y with respect to y is e^(5x)e^y.
Answer:
The correct answer is : Fourth, PR = 6
Step-by-step explanation:
PR is mid segment ( median line) of the side YZ in the triangle XYZ and is equal it's half.
PR = 1/2 YZ = 1/2 · 12 = 6
PR = 6
God with you!!!
Answer:
The answer to your question is letter B
Step-by-step explanation:
Data
length = 12 in
width = 8 in
height = 16 in
surface area = ?
Formula
Surface area = 2( length x width) + 2(length x height) + 2((width x height)
Substitution
Surface area = 2(12 x 8) + 2(12 x 16) + 2(8 x 16)
Simplification
Surface area = 256 + 384 + 102
Result
Surface area = 832 in²
Lets call x the amount of 18% solution and y the amount of 40% solution, and write as equations the info of the problem:
18x + 40y = 10(20)
x + y = 10
lets multiply the second equation by -18 and add to the first:
18x + 40y = 200
-18x -<span> 18y = -180
</span>----------------------
0 + 22y = 20
y = 20/22 = 10/11
and substitute in the original equation:
x <span>+ y = 10
</span>x = 10 - y
x = 10 - 10/11
x = 110/11 - 10/11
x = 100/11
so they have to use 100/11 liters of 18% solution and 10/11 liters of 40% solution
If the fraction is 7/8, the top number would be the numerator. So the numerator is 7.