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lara [203]
3 years ago
13

Plzzzzzz help right answer gets brainly

Mathematics
1 answer:
vampirchik [111]3 years ago
5 0

Answer:

Step-by-step explanation:

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You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 475 cm3. The material fo
zepelin [54]

Answer:

The dimensions of the box are:

x =  8,93 cm       and     h  =   5,95 cm

C(min) =  850,69 cents

Step-by-step explanation:

The volume of the box is:

V = x²*h          where    x is the side of the square base  and h the height

then    h  =  V/ x²  ⇒    h = 475 / x²

The total cost of box C is:

C  = C₁  +  4*C₂      Where C₁  and C₂  are the costs of the base and one lateral side respectevily

Then cost C =  8*x²   + 4* 6*h*x

The cost C as a function of x is

C(x)  =  8*x²  + (24* 475 /x² )*x

C(x)  =  8*x²  +  11400/x

Tacking derivatives on both sides of the equation

C´(x)  =  16*x -  11400/x²

C´(x)  =  0     ⇒    16*x  -  11400/x²  = 0

16*x³  =  11400     ⇒   x³  =  11400/16

x³ =  712,5

x  =  8,93  cm

and    h   =  475 / (8,93)²      ⇒      h  =  5,95  cm

C(min)  =  8*79,77  +  4* ( 8,93)*5,95

C(min)  =  638,16  +  212,53

C(min)  =  850,69 cents

To check if value x = 8,93 would make C(x) minimum we go to the second derivatives

C´´(x) =  16  +  22800/x³ > 0

Then we have a minimum of C at  x = 8,93

4 0
3 years ago
Probabilidad un cubo numérico <br><br>​
yKpoI14uk [10]

Answer:

87

Step-by-step explanation:

87

6 0
3 years ago
Plz I need help can you solve this
tester [92]

Hey there,

Please check the picture attached as my answer.

Convey me if you have any doubts.

~ Benjemin360

6 0
2 years ago
A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12% vinegar. The chef wants to make 320 mi
EastWind [94]

Answer:

40 mL of vinegar,

280 mL of dressing

Step-by-step explanation:

Let v = the milliliters ( mL ) of 100% vinegar,

Then it should be that 320 - v = mL of dressing.

v + .12( 320 - v ) = .23( 320 ) - So in this case the mL of vinegar is associated with the percent of vinegar composed. 100 percent is, in other words, 1, and is multiplied by " v " the mL of 100% vinegar. 1 * v is also v, and so is written as such in our equation. 0.12 is the decimal form of the 12% vinegar, associated with the mL of dressing - as the italian dressing is composed of 12% vinegar. 23% is 0.23 in decimal form, multiplied by the mL of of vinegar in the mixture, 320 mL.

Let's solve for the mL of 100% vinegar, subtracting from 320 to receive the mL of dressing,

v + .12( 320 - v ) = .23( 320 ) - Distribute " .12 "

v + 38.4 - 0.12v = .23( 320 ) - Multiply " 0.32 " by " 320 "

v + 38.4 - 0.12v = 73.6 - Combine like terms and add / subtract

0.88v = 35.2 - Divide 0.88 on either side

v = 40 mL of vinegar,

320 - v = 320 - 40 = 280 mL of dressing

6 0
2 years ago
22 gallons of 16% amonia to make 24% which equation can be used to find n
Serggg [28]

Answer:

q

Step-by-step explanation:

5 0
3 years ago
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