2 years ago

C) What is the area of the shape in Step n?

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

3 0

Answer:

i think 6 or 12 let me know which is correct

Step-by-step explanation:

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A small box of cereal weighs k grams. A jumbo box of cereal weighs 5 times as much.

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Answer:

k=m/5

Step-by-step explanation:

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The volume of a rectangular prism is (x4 + 4x^3 + 3x^2 + 8x + 4), and the area of its base is (x3 + 3x^2 + 8). If the volume of

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$V=x^4+4x^3+3x^2+8x+4\\\\B=x^3+3x^2+8\\\\V=BH\to H=\dfrac{V}{B}\\\\\text{Substitute:}\\\\H=\dfrac{x^4+4x^3+3x^2+8x+4}{x^3+3x^2+8}$

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3 years ago

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Step-by-step explanation:

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3 years ago

Peter has 3200 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed a

salantis [7]

Answer:

$A = 640000\,yd^{2}$

Step-by-step explanation:

Expression for the rectangular area and perimeter are, respectively:

$A (x,y) = x\cdot y$

$3200\,yd = 2\cdot (x+y)$

After some algebraic manipulation, area expression can be reduce to an one-variable form:

$y = 1600 -x$

$A (x) = x\cdot (1600-x)$

The first derivative of the previous equation is:

$\frac{dA}{dx}= 1600-2\cdot x$

Let the expression be equalized to zero:

$1600-2\cdot x=0$

$x = 800$

The second derivative is:

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According to the Second Derivative Test, the critical value found in previous steps is a maximum. Then:

$y = 800$

The maximum area is:

$A = (800\,yd)\cdot (800\,yd)$

$A = 640000\,yd^{2}$

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3 years ago

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