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
lesya [120]
2 years ago
9

A habitat of prairie dogs can support mmm dogs at most.

Mathematics
1 answer:
Sloan [31]2 years ago
3 0

Answer:

The correct answer is p = K × x × (m - p) , where K is the constant of proportionality and x is the current population of the habitat.

Step-by-step explanation:

A habitat of prairie dogs can support m dogs at most.

Let us consider the current population of the habitat be x.

Given the condition that the habitat's population, p,  grows proportionally to the product of the current population (x) and the difference between m and p.

Thus the proportional equation would look like:

p ∝ x × (m - p)

⇒ p = K × x × (m - p) , where K is the constant of proportionality.

Thus the equation describing the above mentioned relationship is given by the above equation.

You might be interested in
Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis
dem82 [27]

Two distinct roots means two real solutions for x (the parabola needs to cross the x-axis twice)

Vertex form of a quadratic equation: (h,k) is vertex

y = a(x-h)^2 + k

The x of the vertex needs to equal 3

y = a(x-3)^2 + k

In order to have two distinct roots the parabola must be (+a) upward facing with vertex below the x-axis or (-a) downward facing with vertex above the x-axis. Parabolas are symmetrical so for an easy factorable equation make "a" 1 or -1 depending on if you want the upward/downward facing one.

y = (x-3)^2 - 1

Vertex (3,-1) upwards facing with two distinct roots 4 and 2

y = x^2 -6x + 9 - 1

y = x^2 -6x + 8

y = (x - 4)(x - 2)



7 0
2 years ago
Read 2 more answers
About 400,000 people visited an art museum in December. What could be the exact number of people who visited the art museum
Zigmanuir [339]
The answer is 359,572
8 0
2 years ago
Read 2 more answers
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 1 + sec
masha68 [24]

Using the washer method, the volume is given by the integral

\displaystyle\pi\int_{-\pi/3}^{\pi/3}\bigg((3-1)^2-((1+\sec x)-1)^2\bigg)\,\mathrm dx=2\pi\int_0^{\pi/3}(4-\sec^2x)\,\mathrm dx

where 3 - 1 = 2 is the distance from <em>y</em> = 3 to the axis of revolution, and similarly (1 + sec(<em>x</em>)) - 1 = sec(<em>x</em>) is the distance from <em>y</em> = 1 + sec(<em>x</em>) to the axis. The integrand is symmetric about <em>x</em> = 0, so the integral "folds" in on itself, and the integral from -π/3 to π/3 is twice the integral from 0 to π/3.

So the volume is

\displaystyle2\pi\int_0^{\pi/3}(4-\sec^2x)\,\mathrm dx=2\pi(4x-\tan x)\bigg|_0^{\pi/3}=\boxed{\dfrac{8\pi^2}3-2\pi\sqrt3}

4 0
2 years ago
If f(t)= 3t^2-2, find f(k-2)
DedPeter [7]
By plugging (k-2) in t, we can write that
f(k-2)=3(k-2)^{2}-2=3(k^{2}-4k+4)-2=3 k^{2}-12k+12-2=3 k^{2}-12k+10
7 0
2 years ago
On Monday, the ABC Company stock was at $12.80 per share. On Tuesday it gained $3.42, and then lost $9.70 on Wednesday. What is
solong [7]

Answer:

Step-by-step explanation:

12.80+3.42= 16.22

16.22-9.70= 6.52 that's your answer

6 0
2 years ago
Other questions:
  • Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangl
    8·2 answers
  • Translate and solve: 344% of what number is 34,400 ?
    7·2 answers
  • A garden supply store sells two types of lawn mowers. Total ales of mowers for the year were $8379.70. The total number of mower
    14·1 answer
  • Forty-two percent of primary care doctors think their patients receive unnecessary medical care (reader's digest, december 2011/
    13·1 answer
  • Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played. She found that the re
    6·1 answer
  • Which expression represents the lateral surface area of the cone?
    12·1 answer
  • Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and surrounded by packaging material. The
    10·1 answer
  • The volume, in cubic feet, of a right cylindrical silo of height h and radius r is V = πr2h. The height of the silo is h(r) = 3.
    11·2 answers
  • Using cell references, enter a formula in cell B6 to calculate monthly payments for the loan described in this worksheet. The an
    14·1 answer
  • 34(3x+6)−14(5x−24) =
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!