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
VARVARA [1.3K]
3 years ago
13

A water tank is box shaped with a square base of side length 5 ft. The tank is fed by a pipe above and drains from its base. In

order to have a well mixed solution, both the feeder pipe and the drain must be opened. The tank is being filled at a rate of 25 ft3/s when the height of the liquid in the tank is 10 ft. If the drains are pulling 30 ft3/s, what is the rate of change in the depth of the solution in the tank
Mathematics
1 answer:
adell [148]3 years ago
6 0

Answer:

dy/dt = - (1/5) ft/s = - 0.2 ft/s

Step-by-step explanation:

Given

L = 5 ft

Qin = 25 ft³/s

Qout = 30 ft³/s

h = 10 ft

dy/dt = ?

We can apply the relation

ΔQ = Qint - Qout = 25 ft³/s - 30 ft³/s

⇒ ΔQ = - 5 ft³/s

Then we use the formula

Q = v*A

where Q = ΔQ, A = L²  is the area of square base and v = dy/dt  is the rate of change in the depth of the solution in the tank

⇒ ΔQ = (dy/dt)*L²

⇒ dy/dt = ΔQ/L²

⇒ dy/dt = (- 5 ft³/s)/(5 ft)²

⇒ dy/dt = - (1/5) ft/s = - 0.2 ft/s

You might be interested in
Can someone help on 18
Anuta_ua [19.1K]
A = 9 (Sorry I can't do the other ones, I haven't learned those ones yet) Hope this helps!! :P
7 0
3 years ago
If a yarn is 4/5 long and the other yarn is 2/4 long. What is the equilivent fraction.Also try you best.
Kipish [7]
36/20 or simplified and as a mixed number would be:
1 and16/20
6 0
3 years ago
Philip wants to buy a new video game system that costs
Law Incorporation [45]

Answer:

I think the answer I think the answer would be 14

4 0
2 years ago
Mario collected data about some of the players on a women’s basketball team. The data is shown in the form of table, mapping, an
Mumz [18]

Answer:

1. No, because each x value can only have one y value (one-to-one relationship).

2. No, because each x value can only have one y value (one-to-one relationship).

3. Yes, because one member of the domain is assigned to one member of the range.

Step-by-step explanation:

4 0
2 years ago
5.3.24 A is a 3times3 matrix with two eigenvalues. Each eigenspace is​ one-dimensional. Is A​ diagonalizable? Why? Select the co
abruzzese [7]

Answer:

C. No. The sum of the dimensions of the eigenspaces equals nothing and the matrix has 3 columns. The sum of the dimensions of the eigenspace and the number of columns must be equal.

Step-by-step explanation:

Here the sum of dimensions of eigenspace is not equal to the number of columns, so therefore A is not diagonalizable.

5 0
3 years ago
Other questions:
  • 1/6=?/18 this is for college basic math fractions
    13·2 answers
  • A chemical compound has a freezing point of -5°C and a boiling point of 97°C. What is the difference between the freezing point
    7·1 answer
  • The seventh root of x divided by eighth root of x
    14·2 answers
  • What is the solution of the equation of the compound inequality 4x <-8 or 9x> 18
    9·1 answer
  • Dave is taking a algebra ii test and comes across this question: you have two die that you will roll. you will sum up the face v
    9·2 answers
  • Solve for the values of x by factoring.<br> x² – 52 - 24=O
    13·1 answer
  • If you multiply 2 xr you will get the *<br> -radius<br> -circumference<br> -diameter<br> -area
    14·2 answers
  • If x and y are two rational numbers such that x &lt; y , then ______ is a rational number in between x and y.
    10·1 answer
  • Tbh ive fogotten how to do all of these so plz helpppppppppp
    8·1 answer
  • Bert has 4 dogs and 5 cans of dog food. Howmuch dog food does each dog get if Beft giveseach dog the same amount?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!