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
emmainna [20.7K]
3 years ago
13

a rectangle of perimeter 100 units has the dimensions shown. Its area is given by the function A = w(50 - w). What is the GREATE

ST area such a rectangle can have? Please explain all steps written, there are parts such as 50W -W^2 and it ends up turning into the next part how?
Mathematics
1 answer:
Anna [14]3 years ago
7 0
If A=w(50-w)

A=50w-w^2

dA/dw=50-2w

d2A/dw2=-2

Since the acceleration is a constant negative, that means that when velocity, dA/dw=0, it is at an absolute maximum for A(w)...

dA/d2=0 only when 50=2w, w=25

So as the case with any rectangle, the perfect square will enclose the greatest area possible with respect to a given amount of material to enclose that area...

So the greatest area occurs when W=L=25 in this case:

A(25)=50w-w^2

Area maximum is thus:

Amax=50(25)-(25)^2=625 u^2
You might be interested in
Solve for x round your answer and to the nearest tenth
kow [346]
I think it's 24.8 i'm not sure tho
6 0
3 years ago
PLEASE HELP WITH PART B!!<br><br> can you also explain y and x, I dont understand part B &gt;
Doss [256]

A. I would suggest including <em>all</em> units in your answer. Both answers are correct but the unit is also important.

average rate of change:

($750 - $350) / (2014 - 2010) = $400 / (4 years) = $100 per year

initial value:

$350

B. Take 2010 to be year 0. Then for year <em>x</em> = 0, the fee is <em>y</em> = $350.

If the fee increases at a rate of $100 per year, this means that when <em>x</em> = 1, <em>y</em> = $350 + $100 = $450. So the graph of the function that models the dog-walking fee is a line that passes through the points (0, 350) and (1, 450), adn the slope of this line is

(450 - 350) / (1 - 0) = 100/1 = 100

which is the same as the average rate of change.

Using the point-slope formula for a line, the equation you want is then

<em>y</em> - 350 = 100 (<em>x</em> - 0)

<em>y</em> - 350 = 100<em>x</em>

<em>y</em> = 100<em>x</em> + 350

8 0
2 years ago
Work out the question below
Andrews [41]

Answer:

he needs 20.25 bags of sand and it would cost her 80.79

Step-by-step explanation:

150cm*90cm*15cm=202,500cm^3 this is how much sand she needs to fill it

202,500cm^3/10,000cm^3=20.25 this is how many bags he needs

3.99*20.25=80.79 this is how much it'll cost him for all 20.25 bags

6 0
3 years ago
Line m passes through the points (-2, 12) and (5, – 3). Which is the slope of a
schepotkina [342]

Answer:

the dog

Step-by-step explanation:

dfg

8 0
3 years ago
If the x-values of the table shown above are doubled and the y-values stay the same, it represents the function g(x). Construct
goblinko [34]

Answer:

The maximum value of the table t(x) has a greater maximum value that the graph g(x)

Step-by-step explanation:

Hope this helps :P

5 0
3 years ago
Other questions:
  • What are the coordinates of the circumcenter of a triangle with vertices A(0,1), B(2, 1) , and C(2, 5) ?
    9·2 answers
  • *The length of the shorter altitude and the shorter side of a parallelogram are 9cm and 82 cm. The length of a longer diagonal i
    9·1 answer
  • ILL GIVE BRAILIEST JUST ANSWER IT RIGHT
    15·1 answer
  • How to find square root of 18
    8·1 answer
  • There are two numbers that
    13·1 answer
  • Levis wants to buy cookies for his friends. The diameter of the cookie is 7 cm. What is the cookie's area?
    15·2 answers
  • Calculate the gcd(f(x),g(x)) for the indicated f(x) and g(x) in the polynomial ring F[x]. Also find u(x) &amp; v(x) such that gc
    14·1 answer
  • Write an equation in slope-intercept form using the given information about the line. No spaces, decimals, or mixed numbers. Wri
    14·1 answer
  • Fill in the missing number. % of 96 = 24 Submit​
    13·1 answer
  • Simplify each expression. Type your answer into the box. (8 – 4)2 x |4 – 8| =
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!