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3 years ago

I need the function for the volume of the box for number 1

Mathematics

1 answer:

rjkz [21]3 years ago

3 0

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).

One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.

I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.

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Spaceship Earth, a spherical attraction at Walt Disney World’s Epcot Center, has a diameter of 50 meters. Find the surface area

Black_prince [1.1K]

The surface area of Spaceship Earth is: 7850 m^2

Step-by-step explanation:

Given

Diameter of spherical structure = d = 50 meters

As the attraction is in the form of a sphere, its radius will be used to find the surface area.

$Radius = r = \frac{d}{2} = \frac{50}{2} = 25\ m$

The formula for surface area of sphere is:

$SA = 4\pi r^2\\= 4 * 3.14 * (25)^2\\= 4*3.14*625\\=7850\ m^2$

The surface area of Spaceship Earth is: 7850 m^2

Keywords: surface area, sphere

Learn more about surface area about:

#LearnwithBrainly

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4 years ago

In a roller-skating rink, the skaters all move at different speeds. Most skate slightly faster or slower than others, but someti

Tanzania [10]

Did you ever get the answer? I have pretty much the same exact one but mine said 150 skaters and I don't know how to answer it.

4 0

3 years ago

Someone please help me with the answer. ASAP

labwork [276]

Answer:

Option D is correct

Step-by-step explanation:

-4(3x/2 - 1/2) = -15

<=>

-4*3x/2 + (-4)*(-1/2) = -15

<=>

-6x + 2 = -15

4 0

3 years ago

Michelle and Michael collect baseball cards. Michael has 5 more cards then Michelle. Together they have 27 cards. How many cards

kap26 [50]

Michael is x. Michelle is y.
x+y=27
x-5=y

Substitute y
x+(x-5)= 27
2x-5=27
2x=32
x=16

Plug in x value
(16)+y=27
y=11

Final answer: Michael-16, Michelle-11

5 0

3 years ago

Read 2 more answers

Which expression is equivalent to 1/2x+(−7)−2 1/4x−(−2

Lynna [10]

The equivalent expression to the given expression is $\mathbf{=-(\dfrac{7}{4}x+5)}$

<h3>What is an algebraic expression?</h3>

Algebraic expressions are mathematical expressions. They usually consist of one or more variables with their coefficients and arithmetic operators such as: (division, multiplication, addition, and subtraction).

From the given expression, we are to determine an expression that is equivalent to:

$=\dfrac{1}{2}x + (-7) -2 \dfrac{1}{4}x -(-2)$

To do this, we are going to simplify the above-given expression to its lowest term since we are not given any options to choose equivalent expressions from.

By doing so, we have:

$=\dfrac{1}{2}x -7 -\dfrac{9}{4}x +2$