Answer:
17/6 or 2 5/6 gallons of paint
Step-by-step explanation:
First, do 17/6= 2 5/6.
That's really all, but I can't help you with the number line because of no attachment, but just put it on the part where it says 17/6 or 2 5/6.
Hope this helped!
Answer:
-32
Step-by-step explanation:
=(-2)^5
=-2*-2*-2*-2*-2-2
-2*-2=4
-2*-2=4
-2
4*4=16
16*-2=-32
Hope this helps :) ❤❤❤
Answer:
$0.28
Step-by-step explanation:
Functions cannot have multiple outputs with the same input
Solution: D is the only function
Answer:
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
Step-by-step explanation:
d²y/dx² = (-2y² − x²) / (4y³)
Take the derivative (use quotient rule and chain rule):
d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²
d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)
d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)
d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)
d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)
Substitute:
d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)
d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
