Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
women / total students = 714 / 1295 = 0.551351351 ≈ 55.14%
<span>ANSWER: About 55.14% of the students are women. </span>
Just set the equations equal to each other
(1,-4)
There’s a 75% chance. i’m not sure if that the answer ur looking for but i divided 24 by 18 and got 0.75
Answer:
y= - 2x+3
Step-by-step explanation:
3 is our start possition
the number before the x is the rise over run
so we would "rise" (vertical) 2 but since it has a - it will be going the oppisite direction then our run would be 1 going over horizenly 1 block
