The population of rabbits on an island is growing exponentially. In the year 1992, the population of rabbits was 8300, and by 2000 the population had grown to 21500. Predict the population of rabbits in the year 2009, to the nearest whole number.

Answer:

[tex]n = \frac{4}{3}c[/tex]

[tex]c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the double number line

The given double number lines represent a linear function between cups of flour (c) and number of batched (n)

Pick any two pairs:

[tex](c_1,n_1) = (\frac{3}{4},1)[/tex]

[tex](c_2,n_2) = (3\frac{3}{4},5)[/tex]

First, calculate the rate of change (i.e. slope, m):

[tex]m = \frac{n_2 - n_1}{c_2 - c_1}[/tex]

[tex]m = \frac{5-1}{3\frac{3}{4} - \frac{3}{4}}[/tex]

[tex]m = \frac{4}{3}[/tex]

So: the equation is:

[tex]n = m(c - c_1) + n_1[/tex]

This gives:

[tex]n = \frac{4}{3}(c - \frac{3}{4}) + 1[/tex]

[tex]n = \frac{4}{3}c - 1 + 1[/tex]

[tex]n = \frac{4}{3}c[/tex]

So, the above represents the relationship between n and c.

To complete the table

When [tex]n = 2[/tex]

Substitute [tex]n = 2[/tex] in: [tex]n = \frac{4}{3}c[/tex]

[tex]2 = \frac{4}{3}c[/tex]

Make c the subject

[tex]c = \frac{3*2}{4}[/tex]

[tex]c = \frac{3}{2}[/tex]

When [tex]n = 3[/tex]

Substitute [tex]n = 3[/tex] in: [tex]n = \frac{4}{3}c[/tex]

[tex]3 = \frac{4}{3} * c[/tex]

Make c the subject

[tex]c = \frac{3*3}{4}[/tex]

[tex]c = \frac{9}{4}[/tex]

When [tex]c=3[/tex]

Substitute [tex]c=3[/tex] in: [tex]n = \frac{4}{3}c[/tex]

[tex]n = \frac{4}{3} * 3[/tex]

[tex]n = 4[/tex]

So, the complete table is:

[tex]c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5[/tex]

Answer:

Hmmmm i'm not sure. I don't have much social confidence but apparently people like talking to me. I just kind of act nice and caring

Step-by-step explanation:

Answer:

Find people in the same position as you and try and make more friends people may tease you but it's because they want to break you tear you down. But, when you find that special person in your life they will act like glue and you'll be as good as new!

Answer:

$46.14

Step-by-step explanation:

Just multiply $3.25 and 14.2.

Answer:

Step-by-step explanation:

The slope of the line is -5, and the y-intercept is 250

Answer:

1.8 minutes or 108 seconds

Step-by-step explanation:

The question tells us that the larger belt moves 300 lbs in 2 mins. And this is equal to 150 lb per minute

The question also tells us that a smaller belt moves the same quantity of 300 lbs in 18 mins. And this is equal to an average of 16.667 lb per min.

Both belts will move at a rate of 166.667 lb per min.

So it will take them 300 / 166.667 = 1.8 min or 108 s.

Therefore, the answer is 1.8 min

Answer:

Step-by-step explanation:

chicken=x+22

cow=x

chicken+cow=98

x+22+x=98

2x+22=98

2x=76

x=38

chicken =x+22=38+22=60

There are 60 chickens

Answer:

chicken=x+22

cow=x

chicken+cow=98

x+22+x=98

2x+22=98

2x=76

x=38

Step-by-step explanation:

Considering the definition of an inequality, the number must be less than 12.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that the difference of a number and 4 is no more than 8.

Being "x" the number you want to know, and considering that the difference is the difference between two numbers or expressions, the inequality that expresses the previous relationship is

x - 4 < 8

Solving:

x < 8 +4

x < 12

Finally, the number must be less than 12.

Learn more about inequality:

https://brainly.com/question/17578702

https://brainly.com/question/25275758

https://brainly.com/question/14361489

https://brainly.com/question/1462764

Answer:

15

Step-by-step explanation:

There were 60 cookies. 25 or 1/4 or 0.25 of them had tree nuts. 25% or 1/4 or 0.25 times 60 = 15.

Hope this helped! If it did, please mark it as brainliest! It would help a lot! Thanks! :D

Answer:

m = -3

Step-by-step explanation:

−m − 19 = 8m + 8  (Simplify equation)

−9m − 19 = 8  (Subtract 8m from both sides)

−9m = 27  (Add 19 to both sides)

m = -3 (Divide both sides by -9)

Answer:

Obtuse

Step-by-step explanation:

[tex]10^{2} > 3^{2} + 9^{2}[/tex]

Answer:

None

Step-by-step explanation:

Mode is the number that repeats the most. All of these numbers are unique, and there is no repeats, therefore there is no mode.

Answer:

what do you mean do you just have to pic one of the answers that are not crossed

Step-by-step explanation:

Answer:

A=1385.51

Step-by-step explanation:

A=pir^2

C= 2pir

A= C^2/4pi

131.95^2/4pi

A= 1385.51

Answer:

Step-by-step explanation:

Answer: B: 15 Dollars

Answer: C: 0

Answer:

not sure how to explain how to solve it but I believe x=11

Step-by-step explanation:

Answer:

vertically opposite angles

Step-by-step explanation:

Answer:y=-x

Step-by-step explanation:

Answer:

14.28%

Step-by-step explanation:

here's your solution

=> price of milk before = ₹28

=> price of milk after increasing = ₹32

=> increased in price = ₹32 - ₹28 = ₹4

=> now , increased percentage= 4/28*100

=> 14.28%

Answer:

1.) A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

2.) 8

3.) 201 square inches

Step-by-step explanation:

Answer:

MK KL JK All are congruent with each other due to the mid point splitting the segments in ML in half.

Step-by-step explanation:

Answer:

A- Four hundred six thousand, seven hundred sixty-two

Hope this helps!

Answer:

A. Four hundred six thousand, seven hundred sixty-two

Step-by-step explanation:

Sound out the number before the comma first:

You would read it as four hundred six, not four hundred sixty (That would mean 460 and not 406.)

Sound out the number after the comma next:

You would read that as seven hundred sixty-two.

So combine them to say:

four hundred six thousand, seven hundred sixty-two. Choose A

Answer: B. (0.19/365 x 30)(16 x $1050+14 x $1280/30)

Step-by-step explanation: took the quiz

if you had a phone you could download brainly and use a photo to search your answer

Step-by-step explanation:

Answer:

It has 4 factors and 2 terms

Step-by-step explanation:

The terms are the groups of parentheses and the factors are the variables that are inside the parentheses.I hope this helps!

Answer:

-5/2

Step-by-step explanation:

-5y=-2x+3

y=2/5x-3/5

The slope is negative recipricol

Answer:

where's the question 0.0

The circle is 360 degrees so,

360 degrees --> 4700 votes

36 degrees ---> x

4700*36 = 360*x

169,200 = 360*x

x= 169,200/360

x= 470

[tex] \frac{470}{4700} = 0.1 = 10\%[/tex]

Answer:

10 N/kg

Step-by-step explanation:

F=ma

therefore,a=F/m

Answer:

Hope that answers your question, good luck in the future