1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
o-na [289]
2 years ago
11

Please help! Photo is attached. Will give brainliest if correct answer.

Mathematics
1 answer:
boyakko [2]2 years ago
3 0

0.66 inches of material is needed to be cut off to make the volume maximum.

<h3>maximum and minimum points test</h3>

When the second derivative of a function is negative, the function has a maximum point and if the second derivative is positive, the function has a minimum point.

Analysis:

After cut and folded, length = 8-2x

Width = 3-2x

Thickness = x.

Volume of the folded shape = (8-2x)(3-2x)(x)

After expansion, V = 4x^{3}-22x^{2} +24x

for turning point of the function, dv/dx = 0

dv/dx = 12x^{2} -44x + 24

lowest term = 3x^{2} - 11x + 6

3x^{2} - 11x + 6 = 0

3x^{2} - 9x -2x +6 = 0

3x(x-3) -2(x-3) = 0

(3x-2)(x-3) = 0

x = 2/3 or x = 3

To test for maximum point, we differentiate dv/dx again

we have 6x - 11

for x = 3,  6(3) - 11 = 18 - 11 = 7 which is positive x= 3 is a minimum

for x = 2/3 6(2/3) - 11 = 4 - 11 = -7, x = 2/3 is a maximum.

Therefore for maximum volume, the length to be cut out is 2/3 which is 0.66 inches.

Learn more about maximum and minimum points: brainly.com/question/26913652

#SPJ1

You might be interested in
Porter's bird feeder holds 1/2 of a cup of birdseed. Porter is filling the bird feeder with a scoop that holds 1/10 of a cup. Ho
Arlecino [84]

Answer:

5 scoops

Step-by-step explanation:

If the feeder already has 1/2 cups in it, Porter will need to put 5 scoops in because 5/10= 1/2. 5 is half of ten

Hope this helps!

3 0
3 years ago
Which pair of expressions is equivalent to each other?
Nikolay [14]

Answer:

C

Step-by-step explanation:

4 X 4 X 4 X 4 X 4 and 4⁵

we can write 4 X 4 X 4 X 4 X 4  like 4⁵

4 X 4 X 4 X 4 X 4 = 4⁵

6 0
3 years ago
Read 2 more answers
How do I solve for n?​
Finger [1]
Simple just do normal simple algebra:)
3 0
3 years ago
Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6
ANTONII [103]

Answer:

14 more meters

Step-by-step explanation:

6 times square (4) = 24

24-10 = 14

3 0
3 years ago
Please help me!!!!!!!!
Marina CMI [18]
I honestly don't know because i'm only in sixth grade but I think that it might be 30*.
5 0
3 years ago
Other questions:
  • HELP PLEASE HELP WILL GIVE POINTS PLEASE!!!!!!!!!
    8·1 answer
  • The quotation of m and 10
    14·1 answer
  • Which of the following expressions are equivalent to 7.2 - 3.6?
    14·2 answers
  • Use the unit circle to find the value of tan (-180°).
    14·1 answer
  • ANSWER PLEASEEE
    13·1 answer
  • Solve the inequality k + 3&lt;5​
    9·1 answer
  • 4y + 3q - 5q^3<br><br> PLS ANSWER ASAP
    9·1 answer
  • IF YOU ANSWER IN THE NEXT 3 MIN. AND GET IT RIGHT! YOU WILL BE THE BRAINIEST!!!
    6·2 answers
  • 7/12 of the books in simone's library are. 3/12 of the books in simone's library are historical fiction. what fraction of the bo
    7·1 answer
  • A map use the scale 3/4 of an inch to represent 3 miles .if the actual distance between two cities is25 miles ,then what is the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!