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
Tatiana [17]
1 year ago
9

A rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material

for the base costs $15 per square meter. material for the sides costs $9 per square meter. let w denote the width of the base. Find a function in the variable w giving the cost C in dollars) of constructing the box.
Mathematics
1 answer:
Valentin [98]1 year ago
3 0

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

<h3>How to determine the function?</h3>

We have a rectangular storage container without a lid.

  • Volume, V = 10 m³
  • Length, l = 2w
  • Width, w = w
  • Base costs $15/m²
  • Sides costs $9/m²

The formula of volume of the box is

V = l × w × h

Where

  • l = length
  • w = width
  • h = height

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

Learn more about function of area here:

brainly.com/question/28698395

#SPJ4

You might be interested in
Am i right brainliest going to first correct answer
Firdavs [7]
The solution to the inequality is -20.8 > p (imagine the symbol is the symbol for at least)
5 0
2 years ago
Read 2 more answers
Quadrilateral with no parallel sides
taurus [48]

Answer:

The answer is a trapezoid.

4 0
3 years ago
5.3 times 10.4 is??? (Show work)
ololo11 [35]

Answer:

do the work on your calculator to double check yourself :)

7 0
3 years ago
Read 2 more answers
O is:<br> rational<br> irrational
FrozenT [24]
There’s no picture, please post one
4 0
3 years ago
Evaluate the function when x=1 f(x) = 1/2x -1
lesantik [10]

Answer:

1/2

Step-by-step explanation:

1/2*1*1= 1/2

5 0
3 years ago
Other questions:
  • If s(x)=x-7 and t(x) =4x^2+3 which expression is equivalent to (t×s)(x)​
    10·1 answer
  • In which case is it possible to create exactly one triangle with the given measures?
    11·1 answer
  • F(x) equal to f-1(x)?
    5·1 answer
  • PLEASE HELP ME!!!
    14·2 answers
  • The dot plot shows the number of goals that the Springlane High School soccer team scored per game last season. How many games d
    14·2 answers
  • Simplify the ratio 4 22 30
    8·1 answer
  • the graph depicts Jacque's monthly supply of tuna. Suppose the price of tuna rises from $8 per round to $14 per round use the ar
    15·1 answer
  • On a 2,000 calorie diet, how many calories would come from VEGGIES? *
    14·1 answer
  • If you break up the number under the radical in the square root of 36 into two factors that are perfect squares, what are the tw
    10·2 answers
  • Find the sale price when the original price is $91.00 and the discount rate is 13%
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!