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
Dima020 [189]
3 years ago
14

A private shipping company will accept a box for domestic shipment only if the sum of its length and girth​ (distance around) do

es not exceed 108 inches. Suppose you want to mail a box with square sides so that its dimensions are h by h by w and its girth is 2 h plus 2 w. What dimensions will give the box its largest​ volume?

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Answer:

18×18×36

Step-by-step explanation:

According to the Question

108≥ 4h + w

Volume V is given by

V = wh^2

⇒V= (108-4h)h^2

⇒V= 108h^2 - 4h^3

Now differentiating and keeping = 0 we get

V' = 216h - 12h^2 = 0

h = 216/12 = 18

w = 108 - 4×18 = 36

V = 36×18^2 = 11664 from a box of 18×18×36.

You might be interested in
Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward a
timurjin [86]

Answer:

(4,0,-7)

Step-by-step explanation:

The initial position was (0,0,0) since it was the origin

Now, we have a movement of positive x at a distance of 4 units, with a distance of z a total of 7 units(negative since downward)

The current position is thus;

(4,0,-7)

Thus correlates to (x,y,z) and our y has remained zero as there is no movement along the y-axis

8 0
3 years ago
What is the solution to<br> a&gt;-16?
Anna11 [10]

Answer:

that is the solution

Step-by-step explanation:

it cannot be simplified

8 0
4 years ago
How many sets of 7 questions can be chosen from a file of 25 questions?
likoan [24]
If all 25 questions are different,

When order of selection counts:
P(25,7)
=25!/(25-7)!
=15511210043330985984000000/6402373705728000
=2422728000

When order of selection does not count count:
C(25,7)
=25!/(7!*(25-7)!)
=15511210043330985984000000/(6402373705728000*5040)
=480700

3 0
3 years ago
The Sharks have played 5 basketball games this seasons. Their scores are 65,63,67,60, and 65. If they only score 30 points in th
Digiron [165]
<span>The list of scores will be: 30 60 63 65 65 67. To get the median, you have to arrange the scores from lowest to highest. The middle number is the median. In this, case there are two numbers in the middle so you have to add the two and then divide by two.</span> <span>Therefore, 63 + 65 = 128 / 2 = 64.</span>
5 0
3 years ago
I answered wrong what’s the right answer?
olganol [36]
The answer is CBE :)))))
6 0
3 years ago
Other questions:
  • Kira goes running Kira goes running Monday, Wednesday, and Friday of each week. Each Monday she runs 2.5 miles, each Wednesday s
    10·1 answer
  • Why is it important to consider multiplicity when determining the roots of a polynomial equation? Write your response, citing ma
    8·1 answer
  • Model of how to find quotient 2.4 divided by 3
    15·1 answer
  • "Find an equation for the family of linear functions with slope 4. (Use the standard coordinate variables x and y. You may use m
    10·1 answer
  • I need help ASAP
    10·1 answer
  • 10 ft wide by 14 ft long. if the ceiling is 8 ft high. what is the area of the four walls?
    5·1 answer
  • Can someone help with this please?
    8·1 answer
  • Which statement is true regarding the functions on the graph?
    12·2 answers
  • Find the missing side lengths Leave your answers as radicals in simplest form​
    13·1 answer
  • Which decimal is equivalent to 13/11
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!