F(x) = x^2 -2x + 4
f(-2) = (-2)^2 -2(-2) +4
f(-2) = 4 + 4 + 4
f(-2) = 12
12 is your answer
Hope this helps
0.00128 is 4/5 to the 5th power
Using mixture formula:
Let volume be v, % be p
1 should be the first mixture, 2 should be the second mixture, 3 should be the final mixture.
p₁v₁ + p₂v₂ = p₃v₃
p₁ = 25%, v₁ = 40 p₂ = 60%, v₂ = ? p₃ = 30%, v₃ =?
Let v₂ = x, v₃ = total volumes = v₁ + v₂ = (40 + x)
Using:
p₁v₁ + p₂v₂ = p₃v₃
25*40 + 60*x = 30*(40 + x)
1000 + 60x = 1200 + 30x
60x - 30x = 1200 - 1000
30x = 200
x = 200/30
x = 20/3
Recall x = v₂, so she has to add 20/3 milliters of the 60% solution in order to obtain 30% solution.
I hope this explains it.
Answer:
i dk sorry
Step-by-step explanation:
First, we will calculate the volume of the prism as follows:
The prism is right rectangular prism, therefore:
V = l*w*h where
V is the volume we need to calculate
l is the length = 1(1/3) units
w is width = 5/6 units
h is height = 2/3 units
Therefore,
Volume of prism = 1(1/3) * (5/6) * (2/3) = 20/27 cubic units
Then, we will get the volume of each cube as follows:
V = l^3 where:
V is the volume we need to calculate
l is the length of side = 1/6 units
Therefore,
Volume of cube = (1/6)^3 = 1/216 cubic units
Finally, to get the number of cubes, we will simply divide the volume of the prism by the volume of the cube as follows:
number of cubes = (20/27) / (1/216) = 160 cubes