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Semenov [28]
3 years ago
11

Wendy wants to show people how medicines that doctors use now would have been helpful during the Civil War

Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Think about the question, you can't say that i am wong.

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An open box with a square base is constructed so that it has a volume of 64in^3. The base needs to be made out of a material tha
Ivahew [28]

The volume of a box is the amount of space in the box

The dimensions that minimize the cost of the box is 4 in by 4 in  by 4 in

<h3>How to determine the dimensions that minimize the cost</h3>

The dimensions of the box are:

Width = x

Depth = y

So, the volume (V) is:

V = x^2y

The volume is given as 64 cubic inches.

So, we have:

x^2y = 64

Make y the subject

y = \frac{64}{x^2}

The surface area of the box is calculated as:

A =x^2 + 4xy

The cost is:

C = 2x^2 + 4xy --- the base is twice as expensive as the sides

Substitute y = \frac{64}{x^2}

C = 2x^2 + 4x * \frac{64}{x^2}

C =2x^2 +  \frac{256}{x}

Differentiate

C' =4x -  \frac{256}{x^2}

Set to 0

4x -  \frac{256}{x^2} = 0

Multiply through by x^2

4x^3 -  256= 0

Divide through by 4

x^3 -  64= 0

Add 64 to both sides

x^3 =  64

Take the cube roots of both sides

x = 4

Recall that:

y = \frac{64}{x^2}

So, we have:

y = \frac{64}{4^2}

y = 4

Hence, the dimensions that minimize the cost of the box is 4 in by 4 in  by 4 in

Read more about volume at:

brainly.com/question/1972490

4 0
3 years ago
The rhinoceros iguana, which lives on the island of Hispaniola, lays up to 20 eggs in a burrow. While studying an iguana colony,
laiz [17]

Answer:

The question for comparison is going to be:
What is the difference between the first burrow and the fourth burrow?
You can make some questions like this that ask for comparison.
Other questions that might be helpful:
Which burrow has the most amount of eggs?
What is the difference between the burrow with the largest amount of eggs and the burrow with the smallest amount of eggs?
I hope my answer is helpful to you!

Step-by-step explanation:

5 0
2 years ago
How many terms are in the algebraic expression -7 + 12x4 - 5y8 + x?
Mazyrski [523]

Answer:

4

Step-by-step explanation:

Each mix of numbers and letters that is separated by a + or a - is a term.

5 0
3 years ago
PLS HELP ASAP
posledela

Answer:

b67

Step-by-step explanation:

8 0
3 years ago
Any help is appreciated <br>​
Nady [450]

Answer:

You will need to draw this out yourself.

Step-by-step explanation:

But to map each point, you find the x (left or right) then y (go up or down).

For example, point A is -1,7

so move one block to the left is -1, move your finger up 7 (line inbetween 6 and 8) that is point A.

Draw for all the others, connect each group of three points to draw the triangle

7 0
3 years ago
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