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xz_007 [3.2K]
3 years ago
15

Stir-fry is Gabe's favorite food to cook, but it always makes a lot of smoke! Gabe needs to know the volume of his kitchen so he

can buy a fan that is the right size. Gabe's kitchen has a floor area of 85 square feet. The height of the ceiling is 8 feet. What is the volume of Gabe's kitchen?
Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

The volume of Gabe's kitchen is 680 ft^3

Step-by-step explanation:

The volume of the kitchen can be derived by multiplying the floor area of the kitchen by the height.

Volume = floor area × height

Given;

Floor area = 85 ft^2

Height = 8 ft

Substituting the given values into the equation;

Volume = 85 × 8 = 680 ft^3

The volume of Gabe's kitchen is 680 ft^3

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2 years ago
A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D.
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8 0
3 years ago
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Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,ax
Ivan

Given:

The function is:

f(x)=-2x^2+7x+4

To find:

Express the quadratic equation in the form of f(x)=a(x-h)^2+k, then state the minimum or maximum value,axis of symmetry and minimum or maximum point.

Solution:

The vertex form of a quadratic function is:

f(x)=a(x-h)^2+k              ...(i)

Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.

We have,

f(x)=-2x^2+7x+4

It can be written as:

f(x)=-2\left(x^2-3.5x\right)+4

Adding and subtracting square of half of coefficient of x inside the parenthesis, we get

f(x)=-2\left(x^2-3.5x+(\dfrac{3.5}{2})^2-(\dfrac{3.5}{2})^2\right)+4

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f(x)=-2\left(x-1.75\right)^2+2(3.0625)+4

f(x)=-2\left(x-1.75\right)^2+6.125+4

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On comparing (i) and (ii), we get

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Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.

Maximum value = 10.125

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Maximum point = (1.75,10.125)

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8 0
3 years ago
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Andru [333]

\frac{x-8}{x-10}

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Answer:

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Step-by-step explanation:

It is 17 minutes until 8:00.  36 - 17 = 19 minutes left.

8:00 + 19 minutes = 8:19

6 0
3 years ago
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