The complete fraction is 24/30=4/5
<h3>How to create an equivalent fraction?</h3>
The expression is given as:
blank over 30=4/5
Represent the blank with x.
So, we have:
x/30=4/5
Multiply both sides by 30
x = 30 * 4/5
Evaluate
x = 24
Substitute x = 24 in x/30=4/5
24/30=4/5
Hence, the complete fraction is 24/30=4/5
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Answer:
Step-by-step explanation:
I'm going to guess that the square exponents are on the top y's only? then answer b) looks good
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)
1.) Austin would get 2.3 pounds per dollar.
2.) A customer would get 15 minutes of bike time per dollar.
