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
Otrada [13]
3 years ago
12

Which of the following represent the same level of precision? Check all that

Mathematics
1 answer:
son4ous [18]3 years ago
6 0
C hope that can help you
You might be interested in
A pond forms as water collects in a conical depression of radius a and depth h. Suppose that water flows in at a constant rate k
Scrat [10]

Answer:

a. dV/dt = K - ∝π(3a/πh)^⅔V^⅔

b. V = (hk^3/2)/[(∝^3/2.π^½.(3a))]

The small deviations from the equilibrium gives approximately the same solution, so the equilibrium is stable.

c. πa² ≥ k/∝

Step-by-step explanation:

a.

The rate of volume of water in the pond is calculated by

The rate of water entering - The rate of water leaving the pond.

Given

k = Rate of Water flows in

The surface of the pond and that's where evaporation occurs.

The area of a circle is πr² with ∝ as the coefficient of evaporation.

Rate of volume of water in pond with time = k - ∝πr²

dV/dt = k - ∝πr² ----- equation 1

The volume of the conical pond is calculated by πr²L/3

Where L = height of the cone

L = hr/a where h is the height of water in the pond

So, V = πr²(hr/a)/3

V = πr³h/3a ------ Make r the subject of formula

3aV = πr³h

r³ = 3aV/πh

r = ∛(3aV/πh)

Substitute ∛(3aV/πh) for r in equation 1

dV/dt = k - ∝π(∛(3aV/πh))²

dV/dt = k - ∝π((3aV/πh)^⅓)²

dV/dt = K - ∝π(3aV/πh)^⅔

dV/dt = K - ∝π(3a/πh)^⅔V^⅔

b. Equilibrium depth of water

The equilibrium depth of water is when the differential equation is 0

i.e. dV/dt = K - ∝π(3a/πh)^⅔V^⅔ = 0

k - ∝π(3a/πh)^⅔V^⅔ = 0

∝π(3a/πh)^⅔V^⅔ = k ------ make V the subject of formula

V^⅔ = k/∝π(3a/πh)^⅔ -------- find the 3/2th root of both sides

V^(⅔ * 3/2) = k^3/2 / [∝π(3a/πh)^⅔]^3/2

V = (k^3/2)/[(∝π.π^-⅔(3a/h)^⅔)]^3/2

V = (k^3/2)/[(∝π^⅓(3a/h)^⅔)]^3/2

V = (k^3/2)/[(∝^3/2.π^½.(3a/h))]

V = (hk^3/2)/[(∝^3/2.π^½.(3a))]

The small deviations from the equilibrium gives approximately the same solution, so the equilibrium is stable.

c. Condition that must be satisfied

If we continue adding water to the pond after the rate of water flow becomes 0, the pond will overflow.

i.e. dV/dt = k - ∝πr² but r = a and the rate is now ≤ 0.

So, we have

k - ∝πa² ≤ 0 ---- subtract k from both w

- ∝πa² ≤ -k divide both sides by - ∝

πa² ≥ k/∝

5 0
3 years ago
Write a story to go with 3/4 times 1/2.
valina [46]

Answer:

2/3 = 0.666666667

<em><u>hopefully i helped :)</u></em>

<em><u></u></em>

8 0
3 years ago
Read 2 more answers
A square picture frame with each side length represented by 3x -
Mariulka [41]

Answer:

D. 4(3x-5) = 52

Step-by-step explanation:

52 is equal the sum of one side multiplied by 4

So

4(3x-5) = 52

Is the right answer

6 0
3 years ago
6-5 solving rational equations 8/x+3=1/x+1
AfilCa [17]

Answer:

x = -5/7

Step-by-step explanation:

8/(x+3)=1/(x+1)

Using cross products

8*(x+1) = 1*(x+3)

Distribute

8x+8 = x+3

Subtract x from each side

8x-x +8 = x+3-x

7x +8 =3

Subtract 8 from each side

7x+8-8 = 3-8

7x = -5

Divide by 7

7x/7 = -5/7

x = -5/7

7 0
3 years ago
HELPPP <br> what is the value of 6n-2 when n=3?<br><br><br> I BEG
ivann1987 [24]

Answer:

16

Step-by-step explanation:

If n = 3, just put the number 3 instead of n.

So:

6n-2 = 6 * 3 - 2 = 18 - 2 = 16

3 0
2 years ago
Read 2 more answers
Other questions:
  • To explore the bottom of a 25-m-deep lake, your friend tom proposes to get a long garden hose, put one end on land and the other
    9·1 answer
  • Justin has 20 pencils, 25 erasers, and 40 paperclips. He organizes them into groups with the same number of items. All the items
    13·1 answer
  • Can someone tell me what is the answer please
    7·2 answers
  • Distance between -18 and -4
    6·1 answer
  • A collector has 135 movie posters and 90 band posters. She wants to sell 36 movie posters but still have her poster collection m
    9·1 answer
  • How many planes appear in this figure?
    12·2 answers
  • PLEASE HELP ME FAST! THIS IS A SIMPLE TRIG PROBLEM BUT I SKIPPED CLASS.
    8·1 answer
  • SOMEONE, PLEASE HELP I WILL GIVE THA BRAINLIST
    10·1 answer
  • Find YZ pls fast correct
    10·2 answers
  • There are 8 cups of pasta in 22 servings. Write a proportion that gives the number x of cups of pasta in 3 servings.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!