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Ivanshal [37]
3 years ago
5

What Did the Baby Porcupine Say When It Backed into a Cactus??

Mathematics
2 answers:
Katen [24]3 years ago
8 0

Answer:

Is that you, Mommy?

Step-by-step explanation:

:)

Serggg [28]3 years ago
8 0

Ummmmm ouch is this a riddle or a math question ahhaah

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There are 12 students in a jewelry-making class and 8 sets of charms. What fraction of a set of charms will each student get?
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Determine the maximized area of a rectangle that has a perimeter equal to 56m by creating and solving a quadratic equation. What
sveticcg [70]

Answer:

Area of rectangle = 196\,m^2

Length of rectangle = 14 m

Width of rectangle = 14 m

Step-by-step explanation:

Given:

Perimeter of rectangle is 56 m

To find: the maximized area of a rectangle and the length and width

Solution:

A function y=f(x) has a point of maxima at x=x_0 if f''(x_0)

Let x, y denotes length and width of the rectangle.

Perimeter of rectangle = 2( length + width )

=2(x+y)

Also, perimeter of rectangle is equal to 56 m.

So,

56=2(x+y)\\x+y=28\\y=28-x

Let A denotes area of rectangle.

A = length × width

A=xy\\=x(28-x)\\=28x-x^2

Differentiate with respect to x

\frac{dA}{dx}=28-2x

Put \frac{dA}{dx}=0

28-2x=0\\2x=28\\x=14

Also,

\frac{d^2A}{dx^2}=-2

At x = 14, \frac{d^2A}{dx^2}=-2

So, x = 14 is a point of maxima

So,

y=28-x=28-14=14

Area of rectangle:

A=xy=14(14)=196\,m^2

Length of rectangle = 14 m

Width of rectangle = 14 m

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