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Alexeev081 [22]
3 years ago
5

How to post a answer so people can see it

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0
If It already has two answers then you’ll have to go to the comments to help but if it on has one or none there should be a blue button at the bottom that says answer
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10 POINTS PLEASE HELP!
Cerrena [4.2K]

When the surrounding flaps are folded up, the base of the box will have dimensions 11-2x by 16-2x, and the box will have a height of x. So the box has volume, as a function of x,

V(x)=(11-2x)(16-2x)x=176x-54x^2+4x^3

I don't know what technology is available to you, but we can determine an exact value for x that maximizes the volume by using calculus.

Differentiating V with respect to x gives

\dfrac{\mathrm dV}{\mathrm dx}=176-108x+12x^2

and setting this equal to 0 gives two critical points at

x=\dfrac{27\pm\sqrt{201}}6\implies x\approx2.1\text{ or }x\approx6.9

For the larger critical point we would get a negative volume, so we ignore that one. Then the largest volume would be about 168.5 cubic in.

7 0
3 years ago
Ms. Owens has some butterflies, 7 of them fly away. Now she has 12 butterflies left. How many butterflies did she start with?
Ivahew [28]

Answer:

19

Step-by-step explanation:

Since she had 12 butterflies left you just add 7 to it

4 0
3 years ago
What is the value of the expression 30 divided by (negative 6)?<br> –180<br> –5<br> 5<br> 24
morpeh [17]

Answer:

-5

Step-by-step explanation:

a positive divided by a negative will always give you a negative

6 0
4 years ago
Read 2 more answers
How do I compare and order the following numbers 5.2, -5.6 repeating, 3 9/10, and the square root of 21?
AleksAgata [21]
It would be -5.6, 3 9/10, square root of 21 and then 5.2.

-5.6 is a negative, the square root of 21 is about 4.6, 3 9/10 is equal to 3.9 and 5.2 is the greatest out of them all.
5 0
3 years ago
The graph below represents the following system of inequalities.
Novosadov [1.4K]

Answer:

(2,3)

Step-by-step explanation:

5 0
3 years ago
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