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
Tems11 [23]
3 years ago
7

According to u.s. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "gi

rth" we mean the perimeter of the smallest end. what is the largest possible volume of a rectangular parcel with a square end that can be sent by mail? such a package is shown below. assume y>x. what are the dimensions of the package of largest volume?

Mathematics
1 answer:
Pepsi [2]3 years ago
8 0
Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
  V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
  dV/dx = 0 = -12x² +2dx
  0 = -2x(6x -d)
This has solutions
  x = 0, x = d/6

a) The largest possible volume is
  (d/6)²(d -4d/6) = 2(d/6)³
  = 2(108 in/6)³ = 11,664 in³

b) The dimensions of the package with largest volume are
  d/6 = 18 inches square by
  d -4d/6 = d/3 = 36 inches long

You might be interested in
Which describes the difference between the two sequences?
mash [69]

Answer:

its a)the first sequence is geometric bc of the common ratio of 2. the second sequence is arithmetic bc of the common difference of 7.

8 0
3 years ago
6. net<br> 28 in.<br> 2.5 in.<br> Surface area
ExtremeBDS [4]

Answer:

28

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
1<br> What is the slope of the line through (-9,-6) and (3,-9)?
Setler [38]

Answer:

-2/3

Step-by-step explanation:

So the slope of the line that goes through the points  and  is m=3/2

Now flip the fraction and change the sign to get the answer -2/3

PLZ MARK AS BRAINLYEST

5 0
3 years ago
Read 2 more answers
How do you Calculate the volume of each cylinder
DiKsa [7]

Volume= π·R²·H

π is Pi, approximately 3.142

R is the radius of the circular end of the cylinder

H is height of the cylinder

8 0
3 years ago
Read 2 more answers
How would you write odds in favor?
Andrews [41]

Answer: Odds in favor = Number of successes: Number of failures

Step-by-step explanation:

Example

A jewelry box contains 5 white pearl, 2 gold rings and 6 silver rings. What are the odds of drawing a white pearl from the jewelry box?

Number of successes = 5

Number of failures = 2 + 6 = 8

Numbers of ways to draw a white pearl: number of ways to draw another jewelry.

5:8

The odds are 5:8

3 0
3 years ago
Other questions:
  • The height of a tree increases by approximately 2% each year. The tree is currently 45 feet tall. Which expression will calculat
    6·1 answer
  • 4/15x equals 2/5<br> solve for x
    6·1 answer
  • Is 2/5 less than 1/2
    8·2 answers
  • Question : <br> 3x-9y+12=?
    11·1 answer
  • What is the answer for this
    14·1 answer
  • Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y 2 ( y 2 − 4 ) = x 2 ( x
    12·1 answer
  • Select each quadrilateral that has exactly one pair of parallel sides.
    12·1 answer
  • Erica earn 30,000 bonus points on her computer assignment this is 10 times as many bonus points as she earned last week how many
    14·1 answer
  • What number goes in the box below to make the statement true?
    15·1 answer
  • Simplify your answer as much as possible<br> 4(u+8)-8u=12
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!