12. Make equation and plug in
13. Proportion
14. Finding a constant rate, and then manipulate
12. Where x is miles driven, and y is answer, and z is days
19.95z+0.15x=y
Plug in two values
19.95 x 2 + 0.15 x 250 = y
39.93+37.5 = y
y=77.43
13. 5:2 as 175:x
5/2 = 175/x
x = 70
70+175=245
14. 260:5 = x:1
260/5=x/1
x = 52
52:1 = y:9
52/1 = y/9
y = 468
I hope you understand the process.
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
It’s 4.8 um yea if u Need help text me
Antideritiive
antideritive of is
antiderititve of a constant is that constant times x
so
antideritive of is
andtideritivee of 4 is 4x
total is
D is answer
Answer:
12.5
Step-by-step explanation:
We can use ratios to solve
4 4+6
---- = ----------
5 AC
4 10
---- = ----------
5 AC
Using cross products
4 * AC = 5*10
4AC = 50
Divide by 4
AC = 50/4
AC =12.5
