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
Free_Kalibri [48]
3 years ago
9

An open top box is to be made by a 24 in by 24 in. by 36 in. piece of cardboard by removing a square from each corner of the box

and folding up the flaps on each side. What size square should be cut out of each corner to get a box with the maximum volume?
Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

X= -12 +6√10

X= 6.973

Step-by-step explanation:

Volume of the box= (36-2x)(24-2x)x

Volume of the box

=( 864 -96x -4x²)x

But 864 -96x -4x²

=216 - 24x-x²

Solving for x quadratically

X= (24+12√10)/-2

X= -12 -6√10

X= -30.97

Or

X= (24-12√10)/-2

X= -12 +6√10

X= 6.973

X will definitely be a positive number

So X= -12 +6√10

X= 6.973

You might be interested in
What would be the u to usub and what would be the steps to solving this integral?
shutvik [7]

Presumably, ln⁵(<em>x</em>) is the same as (ln(<em>x</em>))⁵ (as opposed to a quintuply-nested logarithm, log(log(log(log(log(<em>x</em>)))))).

Then substituting <em>u</em> = ln(<em>x</em>) and d<em>u</em> = d<em>x</em>/<em>x</em> gives

\displaystyle\int\frac{\mathrm dx}{x\ln^5(x)} = \int\frac{\mathrm du}{u^5} = -\frac1{4u^4}+C = \boxed{-\frac1{4\ln^4(x)}+C}

3 0
3 years ago
I need help —30 POINTS——<br> 22.) Please!
GrogVix [38]

Answer:

a.  there are sometimes infinitely many solutions to the system

b. will always have one solution

c.  There is never any solution for the system

Step-by-step explanation:

22a  If two lines have the same slope, they can either be parallel lines which never intersect and have no solution or the same line which have infinite solutions.  So  there are sometimes infinitely many solutions to the system depending on if they are the same line or are parallel lines

b  If the lines have different slopes, they will eventually intersect each other at a point, so they will always have one solution


c.  If the lines have the same slope and a different y intercept, they are parallel lines and will never intersect.  There are no solutions when they never intersect. There is never any solution for the system

8 0
3 years ago
Plz I need help ASAP
vekshin1
All I know for sure is that the first one is an inequality
3 0
2 years ago
Please help...no links please!
Illusion [34]

Answer:

B.

Step-by-step explanation:

Sides AB and sides EF have no connection to each other, therefore, they would not contribute to the statement that both triangles are the same.

6 0
3 years ago
A machine makes 70 springs each hour. How many springs will the machine make in 8 hours?
umka2103 [35]
70×8= 560
560 springs an hour
4 0
3 years ago
Read 2 more answers
Other questions:
  • If a person wanted to purchase their dream car, and keep it for many years, should they lease or buy?
    13·1 answer
  • There were 3,905 more hits on the schools website in January than February. February had 9,854 hits. How many hits did the schoo
    11·1 answer
  • HELP ASSAP WITH THIS QUESTION
    11·2 answers
  • EXPERTS/ACE ( and people that wanna actually help)
    13·1 answer
  • Please help answer this pre calc question
    14·1 answer
  • Hi! Can you please help me with this question? If you can please show the steps on how you got the answer. There is a picture to
    10·1 answer
  • Which scenario is represented by this equation? 1200 =3×+120
    9·1 answer
  • The rational number halfway between 2/4 and 1/8
    9·2 answers
  • Can someone please explain how to do these? I forgot how go
    14·1 answer
  • PLEASE HELP I WILL MARK YOU BRAINLIEST determine the exact and approximat solutions for 4(x + 5)^2 = 21 show your steps
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!