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
mart [117]
2 years ago
8

Sketch the graph of each line by identifying the x-and y-intercepts.

Mathematics
1 answer:
Alexxx [7]2 years ago
7 0

Answer:

Slope: 5/3, Y-intercept: (0,-3)

Step-by-step explanation:

`

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
For the following pair of lines, identify the system by type.
Alexus [3.1K]

Equivalent lines for sure

7 0
2 years ago
Find a positive angle less than 360° that is coterminal with the given angle.
olya-2409 [2.1K]

Answer:

3(360⁰)-335⁰

=1080⁰-335⁰

=745⁰ is a positive angle.

6 0
3 years ago
Pete Ross read in a Wall Street Journal article that the cost of parts and labor to make an Apple iPhone 4S were as follows:
Dennis_Churaev [7]

Answer: $466.

Step-by-step explanation:

Add all the numbers in the graph together, you get 194.

Now, subtract 194 from 660, you get 466. That's how much profit the company makes.

7 0
1 year ago
ASAP.....................................
Tasya [4]

Answer:

- 2/3

Step-by-step explanation:

TRUST ME ON THIS; PERSON ABOVE ME IS WRONG!! pls give me brainliest!!

6 0
3 years ago
Read 2 more answers
Other questions:
  • The table shows the number of each type of toy in a store. The toys will be placed on shelves so that each shelf has the same nu
    14·1 answer
  • oindexter has a credit card that uses the average daily balance method. For the first 15 days of a 31-day billing cycle, his bal
    9·2 answers
  • What are some factors of 42
    8·2 answers
  • 15. Given A (X) define the characteristic function A : X {0, 1} by Suppose that A and B are subsets of X. (i) Prove that the fun
    15·1 answer
  • Help, I really, really need help, just for anyone to know Im crying while saying this, jk but please help me
    15·2 answers
  • Samuel bout 3x cds and jayce bought 2x - 1 cd's if each had a regular price of $18 and discount of $2
    11·1 answer
  • Find the value of Y. PLEASE HURRY
    9·1 answer
  • PLZ HELP ILL MARK BRANLEIST
    9·1 answer
  • What is the next term of the geometric sequence?<br> -128/27,32/9,-8/3
    15·1 answer
  • Solve the following system of equations.What is one x-value of a solution? f(x) = x² + 7x- 24 g(x) = -3x - 40 x = 4 x = -3 x = 3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!