What is the correct answer choice?

Answer:

3,240

Step-by-step explanation:

The computation of the population of rabbits in the year 2003 is shown below:

Given that

In the year 1995, the population of the rabbits was 1000

And, in 1999 the population of the rabbits grown to 1,800

So there is an increase of

= (1800 - 1000) ÷ 1000

= 80%

So for 2003, the population of the rabbits is

= 1800 + (1800 × 0.80)

= 3,240

Given:

The population of rabbits on an island is growing exponentially.

In the year 1995, the population of rabbits was 1000, and by 1999 the population had grown to 1800.

To find:

Expected population of rabbits in the year 2003, to the nearest whole number.

Solution:

The exponential growth model is:

[tex]y=ab^t[/tex]

Where, a is the initial value, b is the growth factor, t is the number of years.

Let y be the population of rabbits t years after 1995.

In the year 1995, the population of rabbits was 1000, it can be written as (0,1000) and by 1999 the population had grown to 1800, it can be written as (4,1800).

For (0,1000),

[tex]1000=ab^0[/tex]

[tex]1000=a(1)[/tex]

[tex]1000=a[/tex]

For (4,1800) and a=1000, we get

[tex]1800=1000b^4[/tex]

[tex]\dfrac{1800}{1000}=b^4[/tex]

[tex]1.8=b^4[/tex]

[tex](1.8)^{\frac{1}{4}}=b[/tex]

[tex]b\approx 1.1583[/tex]

The required exponential model is:

[tex]y=1000(1.1583)^t[/tex]         ...(i)

in year 2003, the number of years since 1995 is 8.

Putting t=8 in (i), we get

[tex]y=1000(1.1583)^8[/tex]

[tex]y=3240.1748[/tex]

[tex]y\approx 3240[/tex]

Therefore, the population of rabbits in the year 2003 is 3240.

Answer:

the x coordinate is 1

the y coordinate is 1

Step-by-step explanation:

Answer:

1,1

Step-by-step explanation:

Answer:

the answer is 24 centimeters

Answer:

7 3/4

Step-by-step explanation:

Answer:

7 3/4 is greater

Step-by-step explanation:

it might help to find a common denominator

7 3/4= 7 9/12

7 1/2= 7 6/12

hope this helps (u can also use decimals)

Answer:

It is B

Step-by-step explanation:

If you subract the numbers(year5-year4=#) and you gather all of the # and add them, then subract the years again, you end up with B.

Answer:

22

Step-by-step explanation:

You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.

So...

0=31 divided by 22

0

22 remainder

0=22

22 is the arc's central angle.

:D

Answer:

D.

Step-by-step explanation:

the smallest angle correpsonds with the smallest side, and longest angle with longest side. hope it helped

Answer:

For this case, the surface area of the cylinder is given by:

A = 2 * pi * r * h + 2 * pi * r ^ 2

Where.

r: cylinder radius

h: cylinder height

Substituting values we have:

A = 2 * 3.14 * 5 * (2 * 5) + 2 * 3.14 * 5 ^ 2

A = 471

Answer:

The total surface area of the cylinder is:

A = 471

Step-by-step explanation:

please mark brainlest

Answer:

Step-by-step explanation:

base = 7 units

height = 12 unit

Area of triangle = [tex]\frac{1}{2}*base * height\\[/tex]

                          [tex]= \frac{1}{2}*12*7\\\\=6 * 7 \\= 42 unit^{2}[/tex]

Answer:

thase is the answer and good luck

Answer:3888

Step-by-step explanation:

144= 1 hours

432=2 hours

1296=3 hours

3888=4 hours

Answer:

75.39822

Step-by-step explanation:

Answer:

J) is multiplied by 4

Step-by-step explanation:

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

-1.75x = -28

x = 16

Answer:

y=13x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=13(x-0)

y-4=13(x)

y-4=13x

y=13x+4

Answer:

y=13x + 4

Step-by-step explanation:

Hi there!

We want to write the equation of the line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept

We are given that the line has a slope of 13, and a y intercept of (0,4)

As we are directly given the slope and the y intercept, we can substitute these values into the formula to find the equation of the line

First, substitute 13 as m

y=13x + b

Now, as stated earlier, the value of b is the value of y at the y intercept.

We were given that the y intercept is (0,4); the value of y at this point is 4

Substitute 4 as b into the equation

y=13x + 4

Hope this helps!

See more on this topic here: https://brainly.com/question/19893131

Answer:

8 bags

Step-by-step explanation:

You divided them by 20 which gives you 4. So you take the 3 and multiply by 4 which is 12 bags. And then you do the same for your bags which makes you do 2 times 4 which gives you 8. You take 20 - 12 and that leaves you with 8.

Answer:11111

Step-by-step explanation:

1

Answer:

Not a right triangle

Step-by-step explanation:

Find AC by doing 22-13=9

Use Pythagorean Theorem to determine if it is a right triangle.

8 squared plus 5 squared=89

Square rt= 9.43

And 9.43 is not equal to 9.

Answer:

74 ft

Step-by-step explanation:

plz give brainlyest

Answer:

c=a2+b2=102+102≈14.14214

Step-by-step explanation:

NO give me brainliest :)

The measurement of the angles formed between parallel lines having a common transversal are readily determined by the relationship between the angles

The measures of the angles in the figures are as follows;

2. The required two column proof is presented as follows;

Statement  [tex]{}[/tex]                                                  Reason

∠1 and ∠a are linear pair angles   [tex]{}[/tex]             Given

∠1 + ∠a = 180° [tex]{}[/tex]                                             Linear pair ∠s are supplementary

∠2 and ∠b are linear pair angles   [tex]{}[/tex]            Given

∠2 + ∠b = 180°                                             Linear pair ∠s are supplementary

∠a and ∠b are consecutive interior ∠s   [tex]{}[/tex]   Definition

x║y    [tex]{}[/tex]                                                           Given

∠1 and ∠b are corresponding angles  [tex]{}[/tex]      Definition

∠1 ≅ ∠b   [tex]{}[/tex]                                                     Corr. ∠s formed between║ lines

∠1 = ∠b   [tex]{}[/tex]                                                      Definition of congruency

∠a + ∠b = 180°                                              Substitution property

∠a and ∠b are supplementary  [tex]{}[/tex]                  Definition

The information obtained from the proof is that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal, and therefore, the the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. Which gives that ∠a and ∠b are supplementary angles. Therefore

3. Some of the other relationships between ∠1, ∠2, ∠a, and ∠b, are;

4. A real-life scenario where parallel lines and transversal exist are the handrail and baluster on railings of staircases

The limitations of the Ski slope scenario are;

Learn more about parallel lines having a common transversal here:

https://brainly.com/question/2188951

c. Explain what the result of your proof tells you about angles a and b.

Specifically, if you measured one angle, what would you know about the

other? (2 points)

Answer:

C

Step-by-step explanation:

If r is a real number, then the x intercepts 0 < r, meaning r is greater than 0, you would shift right from 0 to your higher + number.

Answer:

your answer is b

Step-by-step explanation:

Answer:

x = {-5, 4}.

Step-by-step explanation:

2x^2 + 2x - 4 = 36

2(x^2 + x - 2 = 18)

x^2 + x - 2 - 18 = 0

x^2 + x - 20 = 0

(x + 5)(x - 4) = 0

x = -5, 4.

Answer:

b is 100

Step-by-step explanation:

Answer:

Average is 100

Median is 87.5

Step-by-step explanation:

For average you add up all numbers and divide by how many there are, in this case all numbers added together equals 600, then you divide by 6.

For median, you put the valuse from least to greatest and find the number in the middle, for these numbers, there are 2, 75 and 100, so you add those together and divide them by 2.

Answer:

Step-by-step explanation:

Answer:

points

Step-by-step explanation:

Answer: 15.7ft

Step-by-step explanation:

Answer:

15.7 ft

Step-by-step explanation:

took the test

Answer:

The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].

Step-by-step explanation:

The equation of the parabola in intercept form is defined by following formula:

[tex]y = a\cdot (x-r_{1})\cdot (x-r_{2})[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a[/tex] - Vertex constant.

[tex]r_{1}, r_{2}[/tex] - Intercepts of the parabola.

According to the graph, we find that intercepts are 0 and 4, respectively, and a point in the parabola is [tex](x,y) = (3, 2.25)[/tex]. If we know that [tex]r_{1} = 0[/tex], [tex]r_{2} = 4[/tex] and [tex](x,y) = (3, 2.25)[/tex], then the vertex constant is:

[tex]a = \frac{y}{(x-r_{1})\cdot (x-r_{2})}[/tex]

[tex]a = -\frac{3}{4}[/tex]

The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].