Answer:
34
Step-by-step explanation:
in one minute he scoops 4.25 cups which you get by dividing 8.5 and 2 and then you multiply that by 8 and you get 34 cups
37. Volume: l×w×h
38. Volume: (pi)r^2×h
39. Volume: (1/2b×h)×l
37. l=4
w=4
h=6
4×4×6
16×6= 96ft^3
38. (pi)=3.14
r=5
h=12
(3.14×5^2)×12
(3.14×25)×12
78.5×12= 942in^3
38. b=4
h=3
l=8
(1/2×3×4)×8
(1/2×12)×8
6×8= 48
Set the whole expression = to 0 and solve for x.
3x^(5/3) - 4x^(7/3) = 0. Factor out x^(5/3): x^(5/3) [3 - 4x^(2/3)] = 0
Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.
In the latter case, 4x^(2/3) = 3.
To solve this: mult. both sides by x^(-2/3). Then we have
4x^(2/3)x^(-2/3) = 3x^(-2/3), or 4 = 3x^(-2/3). It'd be easier to work with this if we rewrote it as
4 3
--- = --------------------
1 x^(+2/3)
Then
4
--- = x^(-2/3). Then, x^(2/3) = (3/4), and x = (3/4)^(3/2). According to my 3 calculator, that comes out to x = 0.65 (approx.)
Check this result! subst. 0.65 for x in the given equation. Is the equation then true?
My method here was a bit roundabout, and longer than it should have been. Can you think of a more elegant (and shorter) solution?
-5(r-1)
Do you need step by step
