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balu736 [363]
2 years ago
9

Simply or multiply if needed

Mathematics
2 answers:
laila [671]2 years ago
8 0
B=21/8
C=-18/5
E=2
G=8/5
mars1129 [50]2 years ago
4 0
Have you been taught the butterfly technique
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2 Construct a rational function that will help solve the problem. Then, use a calculator to answer the question.
vaieri [72.5K]

Answer:

<u><em>Dimension of box:-</em></u>

Side of square base = 10 in

Height of box = 5 in

Minimum Surface area, S = 300 in²

Step-by-step explanation:

An open box with a square base is to have a volume of 500 cubic inches.

Let side of the base be x and height of the box is y

Volume of box = area of base × height

                 500=x^2y

Therefore, y=\dfrac{500}{x^2}

It is open box. The surface area of box, S .

S=x^2+4xy

Put  y=\dfrac{500}{x^2}

S(x)=x^2+\dfrac{2000}{x}

This would be rational function of surface area.

For maximum/minimum to differentiate S(x)

S'(x)=2x-\dfrac{2000}{x^2}

For critical point, S'(x)=0

2x-\dfrac{2000}{x^2}=0

x^3=1000

x=10

Put x = 10 into y=\dfrac{500}{x^2}

y = 5

Double derivative of S(x)

S''(x)=2+\dfrac{4000}{x^3} at x = 10

S''(10) > 0

Therefore, Surface is minimum at x = 10 inches

Minimum Surface area, S = 300 in²

7 0
3 years ago
√7+√3+√98-√18<br> write the answers in radical form
Nitella [24]

Answer:A:√7+√3+√98−√18 Part B:3√5−3√11+2√121−3√90. 1.

Step-by-step explanation:

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3 years ago
What is 4.2x+3=11.82<br> X=
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Answer:

x=2.1

Step-by-step explanation:

4.2x+3=11.82

        -3       -3

4.2x=8.82

/4.2    /4.2

 x=2.1

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2 years ago
In ΔDEF, e = 8.7 inches, ∠F=8° and ∠D=34°. Find the length of f, to the nearest 10th of an inch.
fomenos

Answer:

1.8 in

Step-by-step explanation:

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Y_Kistochka [10]
You would multiply 78,125 by 5 and get I think 390,625? I think
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