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3 years ago

I need to know the value of x.

Mathematics

1 answer:

allsm [11]3 years ago

4 0

Answer:

Step-by-step explanation:

Maybe it means to times the number or something depends on which x you are doing

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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made

Lemur [1.5K]

Answer:

The dimension of box= $2ft\times 2ft\times 1ft$

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box= $lbh=x^2h$

$4=x^2h$

$h=\frac{4}{x^2}$

Now, surface area of box,A= $x^2+4xh$

$A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}$

$\frac{dA}{dx}=2x-\frac{16}{x^2}$

$\frac{dA}{dx}=0$

$2x-\frac{16}{x^2}=0$

$2x=\frac{16}{x^2}$

$x^3=8$

$x=2$

$\frac{d^2A}{dx^2}=2+\frac{32}{x^3}$

Substitute x=2

$\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0$

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h= $\frac{4}{2^2}=1 ft$

Hence, the dimension of box= $2ft\times 2ft\times 1ft$

5 0

2 years ago

A news report suggested that an adult should drink a minimum of 4 pints of water per day.

spin [16.1K]

9514 1404 393

Answer:

448

Step-by-step explanation:

(4 pt/da)×(7 da/wk)×(16 oz/pt) = 448 oz/wk

That would be 448 fluid ounces per week.

3 0

3 years ago

Explain how you can find the missing number in 3 4/5 / missing number = 2 5/7

hram777 [196]

Cause you have the slashes and 2/4/5/6/7and 3/4/5/6/7

3 0

3 years ago

Midpoint (2,5) (-1,9)

Natasha_Volkova [10]

The midpoint of the 2 points is (0.5, 7)

Hope this helps you

-AaronWiseIsBae

4 0

3 years ago

I just need help to solve these steps.

My name is Ann [436]

I dont think the answer is 129 unless you typed the problem in wrong. Order of operations say to do everything inside the perenthesis first so you would do the 3*2 which is 6 then divide the 12 by 6 and you get 2. so your new equation is 8^2+9(2)-7. Next distribute the 9 to the 2 that is inside the perenthesis. Square root the 8 also. Now it is 49+18-7. The answer would be 60 ...?

6 0

3 years ago

I need to know the value of x.​

I need to know the value of x.