Answer:
Step-by-step explanation:
Given
square bottom area is 
Suppose x in. is cut from each corner to make a open box with maximum volume
New base area is 
Volume of box

Differentiate V w.r.t x to get maximum volume

Put 
![\left ( 24-x\right )\left [ -2x+24-x\right ]=0](https://tex.z-dn.net/?f=%5Cleft%20%28%2024-x%5Cright%20%29%5Cleft%20%5B%20-2x%2B24-x%5Cright%20%5D%3D0)
![\left ( 24-x\right )\left [ 24-3x\right ]=0](https://tex.z-dn.net/?f=%5Cleft%20%28%2024-x%5Cright%20%29%5Cleft%20%5B%2024-3x%5Cright%20%5D%3D0)

but x=24 is not possible therefore x=8 will yield maximum volume
Answer:
$450
Step-by-step explanation:
We know that the washer costs $51 more dollars than the dryer.
The washer costs x+51
The dryer costs x
So to simplify this we can do this equation:
2x+51=951
Substitute and simply the equation, and you should get this:
2x=900
x=450
Hope this helps! :)
Answer:
Ano grade na po ba kayo di ko po kasi nakita yan ehhhh
Well, the answer quite simple ....there are 4! ways to arrange these numbers...and as 4! = 4*3*2*1 = 24
hence 24 is the correct answer....
u can also remember it by theorem of multiplication as.....in first place (I.e. first code can be any no. out of 4,5,2&7 ....so 4*.....
as first place is acquired by a certain no. that leaves three no. to fill third place and when third place I'd occupied it leaves 2 numbers to fill second place and lastly only one no. to fill the last place .....so it's result will be like 4*3*2*1.
I know this is pretty much confusing ....but still I tried my best....
if anything troubles u here feel free to ask me
The sum of the first four terms of the sequence is 22.
In this question,
The formula of sum of linear sequence is

The sum of the first ten terms of a linear sequence is 145
⇒ 
⇒ 145 = 5 (2a+9d)
⇒ 
⇒ 29 = 2a + 9d ------- (1)
The sum of the next ten term is 445, so the sum of first twenty terms is
⇒ 145 + 445
⇒ 
⇒ 590 = 10 (2a + 19d)
⇒ 
⇒ 59 = 2a + 19d -------- (2)
Now subtract (2) from (1),
⇒ 30 = 10d
⇒ d = 
⇒ d = 3
Substitute d in (1), we get
⇒ 29 = 2a + 9(3)
⇒ 29 = 2a + 27
⇒ 29 - 27 = 2a
⇒ 2 = 2a
⇒ a = 
⇒ a = 1
Thus, sum of first four terms is
⇒ 
⇒ 
⇒ S₄ = 2(2+9)
⇒ S₄ = 2(11)
⇒ S₄ = 22.
Hence we can conclude that the sum of the first four terms of the sequence is 22.
Learn more about sum of sequence of n terms here
brainly.com/question/20385181
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