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kolbaska11 [484]
2 years ago
9

The chocolate Shoppe has a rectangular logo for their business that measures 2 1/2 feet tall with an area that is exactly the ma

ximum area allowed by the biulding owner. Create an equation that could be used to, determine L the unknown side length of the logo
Mathematics
1 answer:
Ilya [14]2 years ago
8 0

The equation that could be used to determine L, the unknown side length of the logo is A =2.5w

<h3>How to determine the equation?</h3>

The given parameters in the question are:

  • Shape: Rectangle
  • Height of logo, h = 2 1/2 feet

From the question we understand that the area is at maximum.

Represent this area with A

The area of the rectangle is:

A = h * l

Where h and l are the dimensions of the rectangle.

Substitute 2 1/2 for h

A = 2 1/2 * l

Express 2 1/2 as a decimal number

A = 2.5 * l

Evaluate the product

A =2.5l

Hence, the equation that could be used to determine L, the unknown side length of the logo is A =2.5w

Read more about areas at:

brainly.com/question/24487155

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Distance for 3 minutes and at the speed of 17m/s​
tigry1 [53]

Answer:  speed = 17m/s

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3 years ago
Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = ta
Irina-Kira [14]

Answer:

The inner function is u = \pi x.

The outer function is f(u) = \tan{u}.

\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}

Step-by-step explanation:

The inner function is the one we apply the outer function to.

So

y = \tan{\pi x}

We apply the outer function tangent to \pi x.

So, the inner function is u = \pi x.

The outer function is f(u) = \tan{u}.

The derivative of a compositve function

y = f(u) in which u = g(x) is given by the following function.

y^{\prime} = f^{\prime}(u)*g^{\prime}(x)

So

f(u) = \tan{u}

f^{\prime}(u) = \sec^{2}{u}

u = g(x) = \pi x

g^{\prime}(x) = \pi

So

y^{\prime} = f^{\prime}(u)*g^{\prime}(x)

\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}

7 0
3 years ago
ryan is seeling cookies to raise money for charity. he is selling chocolate chip cookies for $10 a package and sugar cookies for
Lapatulllka [165]

Answer:

The number of packages of chocolate chip cookies sold was 44 and the number of packages of sugar cookies sold 161

Step-by-step explanation:

Let

x ----> the number of packages of chocolate chip cookies sold

y ----> the number of packages of sugar cookies sold

we know that

10x+4y=1,084 -----> equation A

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Solve the system of equations by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (44,161)

see the attached figure

therefore

The number of packages of chocolate chip cookies sold was 44 and the number of packages of sugar cookies sold 161

8 0
3 years ago
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