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ser-zykov [4K]
3 years ago
6

Can someone please help me with these math problems ​

Mathematics
1 answer:
yuradex [85]3 years ago
5 0

Answer: 138

Step-by-step explanation:

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A closed box with a square base is to have a volume of 13 comma 500 cm cubed. The material for the top and bottom of the box cos
andrezito [222]

Answer:

x  =  1,5 cm

h  =  6  cm

C(min) = 135 $

Step-by-step explanation:

Volume of the box is :

V(b)  = 13,5 cm³

Aea of the top is equal to area of the base,

Let call  " x " side of the base then as it is square area is A₁ = x²

Sides areas are 4 each one equal to x * h  (where h is the high of the box)

And volume of the box is   13,5 cm³  = x²*h

Then   h  =  13,5/x²

Side area is :  A₂ =  x* 13,5/x²

A(b)  = A₁  + A₂

Total area of the box as functon of x is:

A(x)  = 2*x²  + 4* 13,5 / x

And finally cost of the box is

C(x)  = 10*2*x²   +  2.50*4*13.5/x

C(x)  = 20*x²  +  135/x

Taking derivatives on both sides of the equation:

C´(x)  =  40*x   -  135*/x²

C´(x)  = 0     ⇒      40*x   -  135*/x² = 0    ⇒  40*x³ = 135

x³  = 3.375

x  = 1,5 cm

And   h  =  13,5/x²     ⇒   h  =  13,5/ (1,5)²

h = 6 cm

C(min)  = 20*x²  + 135/x

C(min)  = 45  +  90

C(min)  = 135 $

8 0
3 years ago
Can some one really help me please!!!! :(((
GREYUIT [131]

Answer:

for the first on its a=24 and for the second its a= 48

Step-by-step explanation:

for the first one you have to find the length which is 8 and then you find the width which is 3 then you multiply that to get 24

for the second one you find the base which is the strait line which is 8 then you find the height which is 6 then you multiply it to get 48 i hopes this helped!

7 0
2 years ago
Factory overhead is a _____ account.
ladessa [460]

Answer:

Factory overhead is a liability account

6 0
3 years ago
You are planning to save for retirement over the next 35 years. to do this, you will invest $870 a month in a stock account and
DaniilM [7]
Go to mathpapa thats what i use
6 0
3 years ago
Please help me solve this question ! ​
AlexFokin [52]
(d) 18/48

That’s the only value that’s not negative compared to the rest
3 0
2 years ago
Read 2 more answers
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