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
Yuri [45]
9 months ago
15

When rabbits were introduced to the continent of Australia they quickly multiplied and spread across the continent since there w

ere only primitive marsupial competitors and predators to interfere with the exponential growth of their population. The data in the following table can be used to create a model of rabbit population growth. Time (months)036912No. of Rabbits6321073097701. Find the regression equation for the rabbit population as a function of time x.2. Write the regression equation in terms of base e.3. Use the equation from part b to estimate the time for the rabbits to exceed 10,000.

Mathematics
1 answer:
stepan [7]9 months ago
3 0

Given:

We get the points (0,6), (3,32), and (12,770) from the given table.

1.

Let y be the number of the rabbit and x be the number of months.

Consider the regression equation of the form.

y=a(b)^x

Substitue x=0 and y=6 in the equation, we get

6=ab^0

a=6

Substitue x=12 and y=770 in the equation, we get

770=ab^{12}

\text{ Substitute }a=6\text{ in the equation, we get}

b^{12}=\frac{770}{6}

b^{}=\sqrt[3]{\frac{309}{32}}undefined

You might be interested in
How can the function f(x)=x2-6x+8 be rewritten to determine its minimum value?
ki77a [65]

Answer:

Minimum value of f(x) = -1.

Step-by-step explanation:

We convert it to vertex form:

x^2 - 6x + 8

= (x - 3)^2 - 9 + 8

= (x - 3)^2 - 1

The minimum value occurs when (x - 3)^2 = 0  because a square has a minimum value of zero ( it cannot be negative for real values of x).

So  the function has a minimum value of -1.

6 0
3 years ago
Please answer the question and please answer correctly... I really need help
Mekhanik [1.2K]

Answer:

The treatment decays by half each week.

Step-by-step explanation:

The decay function is given by:

y=a(1-r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = decay rate

<em>t </em>= time

The decay function for one medications to treat dogs for fleas is:

F(x)=4\cdot (\frac{1}{2})^{w}

Here the decay rate is:

1-r=\frac{1}{2}\\\\r=1-\frac{1}{2}\\\\r=\frac{1}{2}

The treatment decays by half each week.

3 0
3 years ago
A parent is using a garden hose to fill up a small inflatable pool for her young child. The pool has a capacity of 90 gallons. S
REY [17]

Answer:

Independent variable = the time. Dependent variable = amount of water per minute

Step-by-step explanation;

The total amount of water depends on how long the hose is left on.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A go kart top speed is 607,200 feet per hour. What is the speed in miles per hour
PolarNik [594]

One mile equals 5280 feet so

607,200/5280=115

So it’s 115 miles per hour

8 0
3 years ago
The minimum value of the data represents is a integer or decimal
Amiraneli [1.4K]

Answer:

♾️

Step-by-step explanation:

infinity which is heading to 0

6 0
3 years ago
Other questions:
  • **URGENT**
    10·2 answers
  • The line graph shows the average daily cost, rounded to the nearest 10 cents, that a homeowner paid for electricity each month o
    8·2 answers
  • SOMEONE HELP ASAP PLEASE ):
    13·1 answer
  • Will give brainliest for thiss
    5·2 answers
  • Simplify square root. BRAINLIEST! Help asap! (For the 2nd one, i accidentally clicked 9 so just act like there is no yellow)
    14·1 answer
  • Can Somebody Please Help Me Understand This?! Thanks
    15·2 answers
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    9·1 answer
  • Karen works at a toy story. She has 2 7/8 of marbles . She is making 1/16 pound packages . How many packages will she make?
    5·1 answer
  • To collect data from a number of people in a sample, use alan
    14·1 answer
  • Rearrange the equation a = 1/2 b to make b the formula
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!