answer.
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
Genrish500 [490]
2 years ago
12

You are visiting your friend Fabio's house. You find that, as a joke, he filled his swimming pool with Kool-Aid, which dissolved

perfectly into the water. However, now that you want to swim, you must remove all of the Kool-Aid contaminated water. The swimming pool is round, with a 18 foot radius. It is 11 feet tall and has 6 feet of water in it. How much work is required to remove all of the water by pumping it over the side? Use the physical definition of work, and the fact that the density of the Kool-Aid contaminated water is σ=63.8lbs/ft^3. Don't forget to enter the correct units.
Mathematics
1 answer:
Rzqust [24]2 years ago
4 0

Answer:

The amount of work required to remove all of the water by pumping it over the side = 3.12 × 10⁶ lbs.ft

Step-by-step explanation:

Work done in moving anything from point A to point B = Fx

For this setup,

If we take an elemental vertical height, dx, The volume would be A.dx

where A = Cross sectional Area = πr² = π(18)² = 1017.88 ft²

dV = 1017.88 dx

The elemental force on that part will be

dF = ρg dV

ρg = 63.8 lbs/ft³

dF = 63.8 × 1017.88 dx = 64940.5 dx

F = ∫dF = 64940.5 dx

W = Fx = (∫dF)x = ∫ 64940.5x dx = 64940.5 ∫ xdx

We'll be integrating from (11 - 6) ft to 11 ft because that's the total height it'll be pumped through

W = 64940.5 (x²/2)¹¹₅ = 64940.5((11² - 5²)/2) = 3.12 × 10⁶ lbs.ft

You might be interested in
Answer Please???? Finn is baking cakes for a party. The number of cups of sugar Finn needs is proportional to the number of cake
Natali [406]

Answer:

Hello there!

The answer to your question is :

<em>C: Finn needs 6 cups of sugar for 4 cakes.</em>

<em>D: Finn needs 1 1/2 cups of sugar for 1 cak</em>e.

Step-by-step explanation:

The graph clearly shows ( sides cups of sugar) (bottom number of cakes)

For sugar you need 6 cups to make 4 cakes

For sugar on the second question you need 1 1/2 cups of sugar to make 1 cake

Multiply 1 1/2 times 6 then divide and your answer is 4. That's 4 cakes out of 6 cups of sugar out of the original cups of sugar ( 1 1/2)


This is the confirmed answer I took the quiz and got 100%

Hopes this helps you!

~Darlington



5 0
2 years ago
contractor wishes to build 9 houses, each different in design. In how many ways can he place these houses on a street if 6 lots
Tju [1.3M]

The houses can be placed in 362,880 ways.

<u>Step-by-step explanation:</u>

The 9 houses are each in different design.

The each lot can place any of the 9 houses.

  • The 1st lot can place anyone house of all the 9 houses.
  • The 2nd lot can place one of remaining 8 houses.
  • The 3rd lot can place one of remaining 7 houses.

Similarly, the process gets repeated until the last house is placed on a lot.

<u>From the above steps, it can be determined that :</u>

The number of ways to place the 9 houses in 9 lots = 9!

⇒ 9×8×7×6×5×4×3×2×1

⇒ 362880 ways.

Therefore, the houses can be placed in 362880 ways.

5 0
2 years ago
Megan and Sam were solving a system of equations. They both noticed that the two lines had different slopes. Megan said that bec
pochemuha
Your answer is A. Megan is correct. When two lines have different slopes, they must intersect, producing one solution.

5 0
2 years ago
Read 2 more answers
Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins $2$ years younger than
vagabundo [1.1K]
Let the youngest sister be n years
Lana will be 2n years, as her youngest sister is half her age
The age of the twins separately will be 2n-2 as they are 2 years younger than Lana
So, the equation looks like this:
n + 2n + 2(2n-2) = 45
Now solve for n:
3n + 4n - 4 = 45
7n - 4 = 45
7n = 49
n = 7
So the youngest sister is 7, Lana is 14 and the twins are 12. 14 + 12 + 12 + 7 =45
8 0
2 years ago
Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders d drinks and a medium pizza wit
guajiro [1.7K]

Answer: OPTION D.

Step-by-step explanation:

You know that Lindy's total cost can be found using this expression provided in the exercise:

0.90(2.25d + 1.40t + 6)

Where "d" is the number of drinks she orders and "t" is the number of toppings for a medium pizza she orders.

Since she and her friends to order 4 drinks and a medium pizza with 3 toppings, you can find the total cost by substitute values into the given expression.

The values are:

d=4\\\\t=3

Substituting into the expression and evaluating, you get:

 0.90(2.25d + 1.40t + 6)= 0.90(2.25(4) + 1.40(3) + 6)=\$17.28

4 0
2 years ago
Read 2 more answers
Other questions:
  • Amy is biking to school from her father's house and Jeremy is biking to school from his aunt's house. Suppose Amy is moving at a
    12·3 answers
  • If f(x) = x3 – 2x2, which expression is equivalent to f(i)?
    12·2 answers
  • Evaluate the double integral. 9y2 da, d is the triangular region with vertices (0, 1), (1, 2), (4, 1) d
    6·1 answer
  • A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The
    14·1 answer
  • Jackson wants to divide 3/4 pound box of trail mix into small bags. Each of the bags will hold up to 1/12 pound of trail mix. Ho
    10·1 answer
  • A savings account compounds interest, ata rate of 22%, once a year. George puts $750 in the account as the principal. How can ge
    11·1 answer
  • Two groups of students were asked how many pets they had. The table below shows the numbers for each group:
    5·2 answers
  • Ana, Mateo, and Elena are arguing about who has to give the dog a bath. How
    13·2 answers
  • (a) Find a vector-parametric equation r⃗ 1(t)=⟨x(t),y(t),z(t)⟩r→1(t)=⟨x(t),y(t),z(t)⟩ for the shadow of the circular cylinder x2
    8·1 answer
  • f1(x) = ex, f2(x) = e−x, f3(x) = sinh(x) g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the int
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!