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andrezito [222]
3 years ago
12

Is x = 5 a solution to the equation 19 - x = 14?

Mathematics
2 answers:
kap26 [50]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

Test the equation by substituting 5 in for x:

19- 5 =14

14=14

TRUE

If I helped, a brainliest would be greatly appreciated!

Kobotan [32]3 years ago
5 0

Answer: If you replace x with 5 then 19-5=14

Step-by-step explanation:

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An open metal tank of square base has a volume of 123 m^3
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Answer:

  a) h = 123/x^2

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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:

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  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}

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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

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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.

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Step-by-step explanation:

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