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Kay [80]
3 years ago
7

I need help plzz I need the answer

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer:

its d!

Step-by-step explanation:

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An open metal tank of square base has a volume of 123 m^3
snow_lady [41]

Answer:

  a) h = 123/x^2

  b) S = x^2 +492/x

  c) x ≈ 6.27

  d) S'' = 6; area is a minimum (Y)

  e) Amin ≈ 117.78 m²

Step-by-step explanation:

a) The volume is given by ...

  V = Bh

where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:

  123 = x^2·h

  h = 123/x^2

__

b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.

S=x^2+Ph=x^2+(4x)\dfrac{123}{x^2}\\\\S=x^2+\dfrac{492}{x}

__

c) The derivative of the area with respect to x is ...

S'=2x-\dfrac{492}{x^2}

When this is zero, area is at an extreme.

0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583

__

d) The second derivative is ...

S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6

This is positive, so the value of x found represents a minimum of the area function.

__

e) The minimum area is ...

S=x^2+\dfrac{2\cdot 246}{x}=(246^{\frac{1}{3}})^2+2\dfrac{246}{246^{\frac{1}{3}}}=3\cdot 246^{\frac{2}{3}}\approx 117.78

The minimum area of metal used is about 117.78 m².

3 0
2 years ago
A shopper bought shoes marked 40$ the sales tax is 8% how much did the shopper pay in all
BlackZzzverrR [31]

Answer:

43.20

Step-by-step explanation:

First we need to find the sales tax

tax = price * tax rate

tax = 40 * 8%

     = 40*.08

      =3.2

We final cost is the price plus the sales tax

final cost = price + tax

                = 40+3.2

                = 43.20

6 0
3 years ago
What is the initial velocity of the boiling water? H=-16t^2+170t
erastova [34]
Idkfjdjiwkwhdjajajasjjaikajshsiskjdhdjdjsjjsjsjsjsjss
5 0
3 years ago
. Choose the correct answer to 992 = 16. 62 R1 61 R16 62 63 please help me ​
Svet_ta [14]

Answer:

The answer is 62

Step-by-step explanation:

You just need to simply divide. 992÷16 is equivalent to 62 with no remainder.

8 0
2 years ago
The charitable foundation for a large metropolitan hospital is conducting a study to characterize its donor base. In the past, m
In-s [12.5K]

Answer:

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000

Step-by-step explanation:

The claim is mostly treated as alternate hypothesis .

In this question the claim is given as the average annual donor income has increased therefore it is written as

Ha: u > 100,000

The null hypothesis is reverse of the alternate hypothesis

H0: u ≤ 100,000

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000

8 0
2 years ago
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