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
Ksenya-84 [330]
3 years ago
15

You are constructing a cardboard box with the dimensions 4 m by 6 m. You then cut equal-size squares ( x by x squares) from each

corner so that you may fold the edges to get a box. How long should x be to get a box with the maximum volume?? Round your answer to three decimal places. (enter numbers only)
Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0

Answer:

0.785 m

Step-by-step explanation:

(4-2x)(6-2x)x = Volume

Volume = 4x³ - 20x² + 24x

Max volume: dV/dx = 0

dV/dx = 12x² - 40x + 24 = 0

3x² - 8x + 6 = 0

x = 2.54858377, 0.784749563

Max when d²V/dx² < 0

d²V/dx² = 6x - 8

At x = 0.784749563

6x - 8 = -3.29 < 0

You might be interested in
What is -0.5 repeating as a fraction
Eva8 [605]
-0,5=-1/2
-1/2•(-2)=1
The answer is 1
6 0
3 years ago
If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years? The interest shou
Musya8 [376]

<em>Answer:</em>

<em />

<em>C.) $6,584.91</em>

<em></em>

<em>Step-by-step explanation:</em>

<em />

<em>Amount earned in compound interest = P(1 + r)^n; </em>

<em>where P is the principal, </em>

<em>r is the rate and n is the number of periods.</em>

<em />

<em> </em>

<em>Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = </em><u><em>$6,584.91</em></u>

7 0
3 years ago
A store charges 5.5 % sales tax on all items. If an item costs d dollars before tax, which expression represents the total cost
Black_prince [1.1K]

Answer: d + 0.055d or 1.055d

Step-by-step explanation:

Cost of item = d

Sales tax percent = 5.5%

Total cost = Cost of item + Sales tax

= d + (5.5% × d)

= d + (5.5/100 × d)

= d + (0.055 × d)

= d + 0.055d

= 1.055d

Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:

d + 0.055d or 1.055d.

7 0
3 years ago
I need to know what the answer is and how to solve it
natka813 [3]
I put the ... because it just keeps on going. Just round it to 8.

6 0
3 years ago
What is the GCF of 35 and 49??
Vlada [557]

Answer: 7

Step-by-step explanation: 7x7=49 and 7x5=35

3 0
3 years ago
Read 2 more answers
Other questions:
  • UGHHHH HELP ME PLEASE!?!
    9·2 answers
  • Which composition of transformations would be the inverse of rotating a figure 90° counterclockwise and then reflecting it over
    12·2 answers
  • I do not understand what subscript numbers mean
    8·1 answer
  • At Hoffman's Bike Rentals, it costs
    7·1 answer
  • Hi I need help with this question please thank you
    12·1 answer
  • in a three digit number, the tens digit is the same as the hundreds digit. the ones digit of this number is equal to 1/3 of the
    8·2 answers
  • Please i need your help?
    5·1 answer
  • Which Number is Irrational <br> A√12<br> B√36<br> C√64<br> D√144
    6·1 answer
  • Use a calculator to find the value of the acute angle 0, to the nearest degree. <br> Cos0=0.3667
    7·1 answer
  • 861 mL = _____________ L
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!