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gogolik [260]
3 years ago
12

The grade on a paper decreases by 5 points each day that it is late with a starting value of 87 points.

Mathematics
1 answer:
stellarik [79]3 years ago
7 0

Answer:

I don't know but if you want to me follow please follow me

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If 3/4 of a stick of butter will make 3 dozen cookies how many sticks of butter will make be needed for 1 dozen
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Answer:

\frac{1}{4} stick of butter

Step-by-step explanation:

\frac{3}{4} ÷ 3 = \frac{1}{4}

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8/3 × (−2 1/2) = ?<br><br><br>Thanks!
Veronika [31]

Answer: -20/3

Step-by-step explanation:

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Can anyone help me ASAP!
TiliK225 [7]

Answer:

17.3 in

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What is the y-coordinate of the midpoint of the line segment of (-4,13) and (18,-3.5)
Nady [450]

The midpoint is (7,4.75) so the y-coordinate should be y=4.75. I hope that helps

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3 years ago
Arnold is trying to make packing boxes out of 6 foot by 6 foot pieces of cardboard from the local grocer. Help Arnold decide how
lions [1.4K]
<span>Part I: Determining Dimensions

Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with the same size variable cut from each corner.

*You don't have to draw one, just explain what it would look like*


Answer:

Base of the box:

     it is a square
     side of the base = 6 foot - x - x. = 6 - 2x

Height of the box: x

Part II: Analyze

How does each variable expression relate to the length, width, and height of the box when folded?

Answer:

length = width = 6 - 2x
height = x


Part III: Extend your Findings
a. Based upon the variables you used in Part II, write a product for the volume.

Answer:

Volume = area of the base × height


Volume = (6 - 2x)² x

b. Expand the product to write a volume function.

Answer:

Volume = (36 - 24x + 4x²)x

Volume = 36x - 24x² + 4x³


c. What domain makes sense for the volume?

Answer:

Since x is a physical dimension x is greater than 0

Since the lenght of the cardboarc sheet is 6 and two squares are cut off, x has to be less than 3

So, the domain is (0, 3)


d. Guess and check values to find the size cut that produces a maximum volume.
*Six guesses are required*

Answer:

x              </span>Volume = 36x - 24x² + 4x³

0.1           36(0.1) - 24(0.1)² + 4(0.1)³ = 3.36
0.5           36(0.5) - 24(0.5)² + 4(0.5)³ = 12.5
1.0           36 - 24 + 4 = 16
1.5           36(1.5) - 24(1.5)² + 4(1.5)³ = 13.5
2.0           36(2) - 24(2)² + 4(2)³ = 8
1.7           36(1.7) - 24(1.7)² + 4 (1.7)³ = 11.49
1.2           36(1.2) - 24(1.2)² + 4(1.2)³ = 15.55

Then you can guess that the maximum volume is pretty close to 16 and it is whenx is close to 1.
2.9

7 0
3 years ago
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