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Kipish [7]
3 years ago
6

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an op

en box may be made. if the cardboard is 17 in. long and 12 in. wide, find the dimensions of the box that will yield the maximum volume. (round your answers to two decimal places.)
Mathematics
1 answer:
liberstina [14]3 years ago
5 0
The maximum value that could be reached would be about 211.05 cubic inches.

The initial measurements of the box are:
Length: 17
Width: 12
Height: 0

Right now, the volume is zero. However, if we let the height equal 0 (the amount of the cut out), we can write the following equation for the volume.

Volume = (17 - 2x)(12 - 2x)x

If you graph this, you will find a maximum value of 211.05, keeping in mind that the cut out must be less than 6.
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Select the two expressions equal to the area of this figure in square centimeters.
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Answer:

1.(6*4) + (18*6) + (6*4)

1.(6*10) + (6*6) + (6*10)

Step-by-step explanation:

there are two ways to break this shape into three rectangles:

1.Top right rectangle, Top left rectangle, Bottom long rectangle

2. Left rectangle, Middle square, Right rectangle.

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A bricklayer lays 421 bricks on day 1 of a project, 623 on the 2nd day, and 343 the 3rd day, how many was the total number of br
Angelina_Jolie [31]
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The answer should be 3 hours and 45 minutes if i did the math in my head correctly

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2 years ago
a beekeeper estimates that his bee population will triple each year. Currently he has 150 bees. Write a function to represent th
Soloha48 [4]

Answer:

Exponential functions!

Step-by-step explanation:

I think what you are dealing with is an exponential function!

So, to solve this, we need to first understand the main form of an exponential function:

f(x)=a*b^{x}

Where a is the number we start off with, and b is the constant thing(forgot what it was called).

Now, 150 is our starting number, so it is a, and b is our constant at which the initial term is multiplied, which is 3!

Also, defining variables:

Let f(x)= # of Bees

Let x= # of years

Thus, here is our equation:

f(x)=150*3^{x}

So, that's it!

Now, some of my answers have been recently deleted because they violated community guidelines for recommending something that shall not be named, so if you do really need help on the subject, look online! It is the largest source of information humanity has created! (also I cannot explain Exponential Functions in a single paragraph)

Stay Safe!

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2 years ago
rat snakes produce 12to54 each year. if 8% percent of the young survives maturity,what is the maximum number of surviving offspr
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39?
Sorry if It’s wrong!!
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3 years ago
Read 2 more answers
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