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
blsea [12.9K]
3 years ago
15

Suppose that postal requirements specify that parcels must have length plus girth at most 78 inches. Consider the problem of fin

ding the dimensions of the square ended rectangular package of greatest volume that is mailable. A rectangular prism has length labeled X, width labeled h, and height labeled x.
Required:
a. Express the length plus the girth in terms of x and h.
b. Determine the objective and constraint equations.
c. What is the constraint equation?
Mathematics
1 answer:
alexandr402 [8]3 years ago
3 0

Answer:

A. 4x + h

B. 4x + h = 78

V = x²h

Step-by-step explanation:

1. The length plus girth

X +x+x+x +h

= 4x +h

2. Constraint equation

4x + h = 78 ----(1)

Objective function

Volume = v = x*x*h

V = x²h ----(2)

3. Quantity as function of x

From equation 1 in answer part b

4x+h = 78

We make h subject

h = 78-4x

We put values of h in equation 2 in part b

V = x²h

V = x²(78-4x)

V = 78x²-4x³

To get values of x and h

V = 78x²-4x³

Dv/dx = 0

= 156x - 12x²

156x = 12x²

Divide through by 12x

156x/12x = 12x²/12x

x = 13

h = 78-4x

h = 78 - 4(13)

h = 78 - 52

h = 26 inches

You might be interested in
Pls help me with 19,20 pls thx and show me how u did it
Anastasy [175]
For number 19:
"at least 150" means either 150 ≤ ?  or ? ≥ 150

plus 3 so +3x

The answer would be 150 ≤ 100 + 3x

Number 20:

A is at -2.5. The inverse is the opposite so 2.5
7 0
3 years ago
In their last game the New England patriots scored 9 points in the first half in the second half they scored three less than two
Marat540 [252]

Answer:

3:5

Step-by-step explanation:

first half : 9

second half : 15

9:15 = 3:5

5 0
3 years ago
Read 2 more answers
A researcher claims that the average annual salary of part-time community college instructors is at least $45,000. To test this
Doss [256]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The researcher claims :

" the average annual salary of part-time community college instructors is at least $45,000 "

- We will extract the claim made by the researcher to be the Null hypothesis:

                     Null Hypothesis : μ ≥ $45,000

- Any statement otherwise, or point of rejection criteria will denote the Alternate hypothesis that disbands the claim that:

" the average annual salary of part-time community college instructors is less than $45,000 " :

                    Alternate Hypothesis : μ < $45,000

- This type of test with a sample size of n = 25 < 30 and population standard deviation is also not given hints the use t-test statistics and t-critical value reject the claim.

                     Lower tail - one sample - T-test.

6 0
3 years ago
Which expressions are equivalent to -6n + (-12) + 4n ?
raketka [301]
The expression equivalent to the fort is a) 4(n-3) -6n, if you so the math for the first one do what is inside the parenthesis first. (think PEMDAS) Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. So the first thing it gives you is -6n +(-12) Well, a negative + a negative = a negative! So, -6+-12= -18, then add your caroable. So, -18n. Now, you add -18n with what you have left so 4n -18+4 is -14n. So, if you do answer a) (n-3) = (1n-3)= (1-3) =-2. -2×4=-8n because a negative × a positive = a negative because they have different signs. From there you have -8n - (6) Instead of subtracting you just add a negative So, you would rewrite your problem as: -8n+(-6)= -14n the same thing you got as your orginal. Hope tj
his helped! Don't forget about adding you variables and PEMDAS!! Also d po not forget about your positive a negative rules!!!
4 0
3 years ago
Read 2 more answers
What will the new vertices will be reflected across the y axis so far the coordinates will be (2,1),(8,3) and
qaws [65]

Answer:

<h3><em><u>(</u></em><em><u>9</u></em><em><u>,</u></em><em><u> </u></em><em><u>1</u></em><em><u>)</u></em><em><u> </u></em><em><u> </u></em><em><u>QwQ</u></em><em><u> </u></em><em><u>correct</u></em><em><u> </u></em><em><u>me</u></em><em><u> </u></em><em><u>if</u></em><em><u> </u></em><em><u>there</u></em><em><u>'</u></em><em><u>s</u></em><em><u> </u></em><em><u>wrong</u></em><em><u>.</u></em><em><u> </u></em></h3>

3 0
3 years ago
Other questions:
  • Suzanna walked two over seven of a mile in two over five of an hour. What is her unit rate in miles per hour? two sevenths over
    14·1 answer
  • Solve the equation -4(8+y)=90.
    14·1 answer
  • Sara’s even holds55 gallons of gas.the TVs fuel guage show that the tank is on quarter full.can Sara drive 100 miles before she
    8·1 answer
  • One positive number is 5 times another number. the difference between the two numbers is 1140, find the numbers.
    9·1 answer
  • Writing to. Explain. Braedyn. Needs to determine how many nickels. Are. In. $7.45. Explain. How she. Can. Find. The. Number. Of.
    9·2 answers
  • I need brainly help with this math problem I reward with brainiest
    5·1 answer
  • Solve.<br> 9 + 7x = 7x^2
    11·1 answer
  • 8m + 2/10 + 3n + 4/10 + 6m - 2n
    10·1 answer
  • Complete the synthetic division to find the quotient of 3x^3-25x^2+12x-32 and x-8
    9·1 answer
  • Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. Which step is missing some informat
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!