help me answer this question please​

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Answer:

  x = ∛4 ≈ 1.587 m

  y = (∛4)/2 ≈ 0.794 m

Step-by-step explanation:

Short answer:

An open-top box will use minimum material when it has the shape of half a cube. That is, the x-dimensions will be ...

  x = ∛(2·2 m³) = ∛4 m

The y-dimensions will be half that:

  y = x/2 = (∛4)/2 m

__

Long answer:

The volume is ...

  V = x^2·y

so the y-dimension is ...

  y = V/x^2

The area of the sides and bottom will be ...

  A = 4xy + x^2

  A = 4x(2/x^2) +x^2 = 8/x +x^2

The area is minimized when the derivative of this is zero.

  A' = 0 = -8/x^2 +2x

  x^3 = 4 . . . . . . . divide by 2 and rearrange

  x = ∛4 . . . . . . . . cube root

  y = 2/x^2 = 2∛4/4

  y = (∛4)/2

___

Additional comment

If you follow the numbers through, you see that the value under the cube-root radical is twice the volume. This is the result we used in the "short answer."

4. Which set of ordered pairs represents a function?

(1) {(0,4), (2,4),(2,5)}
(2){(6,0), (5,0),(4,0)}
(3) {(4,1),(6,2), (6,3), (5,0)}
(4) {(0,4),(1,4), (0,5),(1,5)}​

This is hard please help

Please help I’ll mark you as brainliest if correct

which is the largest interval over which the function shown in the table is increasing?
x y=-- x2 ?
-4
-8
-
-2
-2
(x, y)
(-4,-8)
(-2,-2)
(0,0)
(2.-2)
(4.-8)
0
NO
-2
4
-8
O
A. x < -2
O B. x<0
C. X>0
D. X> 2

ALGEBRA

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-6
6
9
-9

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please answer asap! no scam links or scam comments or reported.

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Choose 1 answer:

(Choice A)
The distribution is left-tailed.

(Choice B)
The distribution is approximately symmetrical.

(Choice C)
The distribution is right-tailed.

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Ian needs to order some new supplies for the restaurant where he works. The
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In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metalization. The etch rate is an important characteristic in this process and known to follow a normal distribution. Two different etching solutions have been compared, using two random samples of 10 wafers for each solution. Assume the variances are equal. The etch rates are as follows (in mils per minute):

Solution 1 Solution 2
9.9 10.6 10.5 10.2
9.4 10.3 10.6 10.2
9.3 10.0 10.7 10.7
9.6 10.3 10.4 10.4
10.2 10.1 10.5 10.3

Required:
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