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

Answers

Answer 1

Answer:

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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The volume of a square pyramid is equal to _____ times the volume of a cube where the bases are the same, but the square pyramid is half the height of the cube.

Answers

The volume of the cube is a^2h;
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Answer:

1/6 joo welcome on ed 2020

Step-by-step explanation:

What is the surface area of a sphere with a radius of 3 centimeters?

Answers

The equation for the surface area of a sphere is $A=4 \pi r^(2)$

So plug in 3 cm for radius "r"

$A=4 \pi ( 3cm)^(2)$

Simplify
$A=4 \pi (9 cm^(2))$
$A=36 \pi cm^(2)$

Depending on your teacher, they might want you to leave it like this or plug in 3.14 for $\pi$
So your answer is either
$A=36 \pi cm^(2)$
or
$A=113.04 cm^(2)$

How many more ways can 10 juniors running for the positions of president, vice president, secretary, treasurer be selected when compared to 12 sophomores running for 5 identical positions of class representative's?

Answers

10 juniors are running for 4 positions.
There are ten people who can get into the first spot
Nine people for the second
8 people for the third
7 for the fourth
10x9x8x7= 5040 different ways.

For the sophomores: 12x11x10x9x8= 95040
However, the positions are identical which means that the order doesn't matter. (There's a difference between A getting postion 1, B for 2, C for 3, D for 4 and B for 1, A for 2, C for 3, D for 4)

There are 5 identical positions, therefore we divide this by 5! (5x4x3x2x1)= 120
95040/120= 792
Juniors have 5040 positions, sophomores have 792

Domain is the set of all input values, while range is the set of all:

Answers

all output values. This is because the domain of a function is the set of all possible x-values that you will put into the equation while the range is the set of all possible y-values, the solution.

Which fraction is greatest 5/6 7/9 2/3 or 9/12

Answers

2/3s would contain more

There are 36 people riding in the first train car. The second train car has 3/4 the number of people that are in the first car.How many people are riding in the second train car?
Express your answer in simplest form

Answers

Alright, because we know that there are 36 people in the first car, and the second car has 3/4 of the amount of people in the first car, we can set up an equation, 36*3/4=x

To solve for x, what we can do is multiply 36 by 3, getting 108, then what you need to do is divide 108 by 4 to get 27, so there should be 27 people in the second car.

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