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
eduard
3 years ago
7

A rectangular field is to be bounded by a fence on 3 sides and a straight stream on the 4th side. Find the dimensions of the fie

ld with maximum area that can be enclosed using 1000 ft of rope. This is in the applied maximum and minimum chapter btw.

Mathematics
1 answer:
fredd [130]3 years ago
8 0
Check the picture below.

\bf \stackrel{area}{A}=length\cdot width\implies A(w)=(1000-2w)w
\\\\\\
\boxed{A(w)=1000w-2w^2}
\\\\\\
\cfrac{dA}{dw}=1000-4w\implies 0=1000-4w\implies 4w=1000
\\\\\\
w=\cfrac{1000}{4}\implies \boxed{w=\stackrel{width}{250}}
\\\\\\\
[1000-2(250)]\implies 1000-500\implies \boxed{l=\stackrel{length}{500}}

and if you run a first-derivative test on say x = 249 and x = 251, you'll notice the slope is positive and negative respectively, meaning, is a maximum.

You might be interested in
Find a polynomial that describes the area of the lawn which kevin has to mow in his front yard 6x+5,4x-9
Likurg_2 [28]

Answer:

Area=24x^2-34x-45

Step-by-step explanation:

Length and width of the yard are (6x+5) and (4x-9).

Area=length\times width\\\\Area=(6x+5)\times (4x-9)\\\\Area=24x^2+20x-54x-45\\\\Area=24x^2-34x-45

7 0
3 years ago
WILLL GIVE BRAINLIEST + 50 POINTS FOR HELP!!!!<br><br><br>PLZZZZZZ IM TIMED
andrew-mc [135]
First. y=2x
second d is correct
third is a
7 0
3 years ago
Read 2 more answers
If you gain 7 dollars every 65 second how long will it take to get 50000 dollars
Vlada [557]

Answer:

5 days

(the exact number of days below)

Step-by-step explanation:

65/7=9.28571429

9.28571429 sec = 1 dollar

464285.715 seconds=50000 dollars

464285.715 seconds=5.373677256944 days

4 0
2 years ago
Do natural numbers have multiplicative inverse
hodyreva [135]
No,because a multiplcative inverse is when your changing a division or multiplcation sign!
6 0
3 years ago
Shankar has decided to train to be a Carbucks Barrista. Being young and inexperienced, for every order he makes a mistake in mak
astra-53 [7]

Answer:

Step-by-step explanation:

Since each trial is independent of the other

no of mistakes he does is binomial with p = 1/3

a) the probability that he makes no mistakes on his first 10 orders but the 11th order is a mistake

= (\frac{2}{3}) ^{10} *\frac{1}{3}\\=\frac{2^{10} }{3^{11} }

b) Prob that shanker quits = P(Shankar does I one mistake and Fran does not do the first one)+Prob (Shanker does mistake in the II one while Fran does both right)

= \frac{1*5}{3*6} +\frac{2}{3} \frac{1}{3}(\frac{5}{6})^2  =\frac{5}{18} +\frac{50}{216} \\=\frac{55}{108}

6 0
3 years ago
Other questions:
  • Given the graph of a line y=−x. Write an equation of a line which is perpendicular and goes through the point (8,2).
    6·2 answers
  • Write the quadratic equation in general form. x2 = 9x
    13·1 answer
  • Brad has groups of 10 pennies. Brad counts 40, but he has 6 more stacks to count. How many pennies does he have? Explain your an
    5·1 answer
  • Supposed to pay $32 for a pair of shoes that was originally $40 what was the percent of the decrease in price of the shoes set u
    6·1 answer
  • Jupiter has a diameter of about 86,900 miles, 27.5 times the diameter of Mercury. Earth's diameter is about 7,900 miles, 2.5 tim
    7·1 answer
  • What’s the volume of
    15·2 answers
  • Task 5
    14·1 answer
  • Select the angle pairs that will make these triangles similar by AA~ (Please explain) I will mark brianliest!!!
    13·1 answer
  • PLEASE HELP, ILL GIVE YOU 15
    11·1 answer
  • If 18% of a number is 24, find 3% of that number. You must show your work in the work space.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!