Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box
Answer:
can be written in power notation as 
Step-by-step explanation:
The given expression
Writing a\times (-a)\times 13\times a\times (-a)\times 13 in power notation:
Let
= ![[13\times13][(a\times (-a)\times a\times (-a)]](https://tex.z-dn.net/?f=%5B13%5Ctimes13%5D%5B%28a%5Ctimes%20%28-a%29%5Ctimes%20a%5Ctimes%20%28-a%29%5D)
As
, 
, 
So,
![=[13^{2}][a^2\times (-a)^2]](https://tex.z-dn.net/?f=%3D%5B13%5E%7B2%7D%5D%5Ba%5E2%5Ctimes%20%28-a%29%5E2%5D)
As
So,
![=[13^{2}][a^2\times a^2]](https://tex.z-dn.net/?f=%3D%5B13%5E%7B2%7D%5D%5Ba%5E2%5Ctimes%20a%5E2%5D)
As ∵
![=[13^{2}][a^{2+2}]](https://tex.z-dn.net/?f=%3D%5B13%5E%7B2%7D%5D%5Ba%5E%7B2%2B2%7D%5D)
As ∵
Therefore, can be written in power notation as
<em>Keywords: power notation</em>
<em>Learn more about power notation from brainly.com/question/2147364</em>
<em>#learnwithBrainly</em>
So what you need to do is find the volume and divide it by 2.
Answer:
The table that represents the conditional relative frequency is:
A B Total
C 0.25 0.75 1.0
D 0.35 0.65 1.0
Total 0.30 0.70 1.0
Step-by-step explanation:
We know that a conditional relative frequency table is one:
In which the entries in each row is divided by the row total .
OR
In which the entries in each column is divided by the column total.
i.e. the frequency or quantity of an item is being compared either to row or to the column total.
Hence, from the given options, the table that represent the conditional relative frequency is:
A B Total
C 0.25 0.75 1.0
D 0.35 0.65 1.0
Total 0.30 0.70 1.0
