Answer:
Simplify -15.5
Length 1/6 mile
Step-by-step explanation:
To find the contrapositive, you negate the hypothesis and the conclusion of the statement, and then switch their positions in the statement such that the conclusion becomes the hypothesis and vice versa:
If two variables are directly proportional, then their graph is a linear function.
If two variables are not directly protional, then their graph is not a linear function.
Suppose you cut squares have the side lengths x then we have
length of base box=20-2x
width of base box=30-2x
height of box=x
volume of the box
V=x(20-2x)(30-2x)
V=600x-100x^2+4x^3
then
dV/dx=600-200x+12x^2
set that to zero
600-200x+12x^2=0
apply quadratic formula
x=approx12.97 or 3.92
since you want in whole numbers so x=13 or x=4
so if x=13 then V= -312 but negative number doesn't make a sense so we ignore that
if x=4 then v=1056 this is the greatest volume
the dimensions are
length of a box base=12
width of a box base=22
height of box =4
did u get it ?
I think that the answer is -1/6. I got this by subtracting 3 on both sides according to the order of operations and got -1. Next, I divided 6 on both sides to undo the multiplication. Since you can't do 1 divided by 6, you can leave it as a fraction which is -1/6.
Since
![\sqrt[3]{32}\not\in\mathbb Z](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32%7D%5Cnot%5Cin%5Cmathbb%20Z)
, you can omit B and C as possible solutions.
Now,
![-64x^6y^{12}+125x^{16}y^3=(-4x^2y^4)^3+(5x^{16/3}y)^3](https://tex.z-dn.net/?f=-64x%5E6y%5E%7B12%7D%2B125x%5E%7B16%7Dy%5E3%3D%28-4x%5E2y%5E4%29%5E3%2B%285x%5E%7B16%2F3%7Dy%29%5E3)
but since 16 is not divisible by 3, A is not correct either.
So D is the answer. To verify: