The population of rabbits on an island is growing exponentially. In the year 2001, the population of rabbits was 2400, and by 2004 the population had grown to 2900. Predict the population of rabbits in the year 2012, to the nearest whole number.

Answer:

1. SOH CAH TOA

Sine Opposite Hypotenuse, Cosine adjacent hypotenuse, tangent opposite adjacent

2. 24

Answer:

2.2:1

Step-by-step explanation:

Found the cube root of 1331

[tex] \sqrt[3]{1331} = 11[/tex]

Reciprocal of 0.2 is

[tex] \frac{1}{0.2} = 5[/tex]

Our ratio is 11:5. Our right hand number must equal 1 so we divide 5 by both sides.

[tex]11 \div 5 = 2.2[/tex]

So our n is 2.2

Answer:

2.2:1

Step-by-step explanation:

Answer:

centre of the circle(h,k)=(5,2)

radius(r)=10

Step-by-step explanation:

Now,

equation of the circle is giveb by (x-h)^2+(y-k)^2=r^2

or,(x-5)^2+(y-2)^2=(10)^2

or,x^2-10x+25+y^2-4y+4=100

or,x^2+y^2-10x-4y+29-100=0

or,x^2+y^2-10x-4y-71=0

Answer:

The answer for x is ten

Step-by-step explanation:

a^2+b^2=c^2

10^2+b^2=17^2

100+b^2=289

-100         -100

       b^2=  189

      b= the square root  of 189

b=13.7477270849

Answer:

$67.25

Step-by-step explanation:

52.60 x 8%  = 52.60 x 0.08 = 4.21

52.60 x 20% = 52.60 x 0.20 = 10.44

52.60 + 4.21 + 10.44 = 67.25

Answer:

The values of 'x' they make the statement true are;

B; x = 8

E; x = 125

Step-by-step explanation:

The given criteria for 'x' = "The square root of x is a number that is non-terminating and non-repeating"

The terms non-terminating and non-repeating numbers are used to describe the characteristics of the decimal part of numbers

A non-terminating number is a form of decimal number that has an infinite number of digits out of which no part is endlessly repeating. This type of decimals are part of irrational numbers that cannot be presented in a fraction format

From the options, we have;

A: x = 1, √x = √1 = 1 No fraction, 1 ∉ x

B: x = 8, √x = √8 = 2·√2  Is non-repeating, non-terminating, 8 ∈ x

C: x = 25, √x = √25 = 5 No fraction, 25 ∉ x

D; x = 81, √x = √(81) = 9 ∉ x

E; x = 125, √125 = 5·√5 Is non-repeating, non-terminating, 125 ∈ x.

Answer:

40=5×8

Step-by-step explanation:

I think, hope this helps

The equation for the number 40 is 5 times as many as 8 is; 40=5×8

An equation represents equality of two or more mathematical expression.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We are given that the number 40 is 5 times as many as 8

40 is 5 times as many as 8 means

5×8 = 40

Then the equation will be;

40=5×8

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Answer:

it would 13

Step-by-step explanation:

19-6=13 there you go

Answer:

1: 115

2: 65

3: 115

4: 65

5: 143

6: 37

7: 28

8: 152

Answer: 90

Step-by-step explanatio

Answer:

the angle measure for angles T and V would be 127 because they are on opposite locations from each other. the angles S and U would 53 because T and U are coplemantery angles (180 degrees) so you subtract. 180-127 to get 53. To find x, on angle S, we simply subtract 1 from 53 (53-1) and divide the answer by 2. To find the lengths of the sides, put them next to each other and separet

them by an equal sign. subtract 3y from both sides of the equation and add 5 to both sides of the equation to get 3y=12. then divide 12 by 3 to get 4 so y=4. Then, simply replace the y with a 4 and solve the equations of the sides.

Answer:

150

Step-by-step explanation:

0.90x=135

x=135/0.90

x=150

Answer: 120 Pounds

Step-by-step explanation:

Given

The Sum of David and mike weight is 180 pounds

Suppose the weight of David is x and the weight of mike is y

So, [tex]x+y=180[/tex]

Also, subtracting David's weight from Mike's weight, we get half of Mike's weight

[tex]\Rightarrow y-x=\dfrac{y}{2}\\\Rightarrow 2x=y[/tex]

Put the value of x in the above equation, we get

[tex]\Rightarrow 1.5y=180\\\Rightarrow y=120\ pounds[/tex]

Thus, mike Weighs 120 Pounds

Answer:

[tex]D.\ (3,\frac{1}{8})[/tex]

Step-by-step explanation:

Given

[tex]y = (\frac{1}{2})^x[/tex]

Required

Points that lies on the above graph

From the given options, only option D lies on the point and the proof is as follows:

[tex]D.\ (3,\frac{1}{8})[/tex]

This means that:

[tex]x = 3;\ y = \frac{1}{8}[/tex]

Substitute [tex]x = 3;\ y = \frac{1}{8}[/tex] in [tex]y = (\frac{1}{2})^x[/tex]

[tex]\frac{1}{8} = (\frac{1}{2})^3[/tex]

[tex]\frac{1}{8} = \frac{1^3}{2^3}[/tex]

[tex]\frac{1}{8} = \frac{1}{8}[/tex]

See that the values at the right and left hand side of the equation are the same.

This means that, [tex]D.\ (3,\frac{1}{8})[/tex] lies on [tex]y = (\frac{1}{2})^x[/tex]

Answer:

No

Step-by-step explanation:

33-9=24

Answer:

hahah no , it's 24

Step-by-step explanation:

I can't agree with becky

Answer:

h = 15 mm

Step-by-step explanation:

Given that,

The volume of a cone, V = 565.2 cubic millimeters

The radius of the cone, r = 6 mm

We need to find its height. The formula for the volume of the cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Where

h is the height of the cone

[tex]h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 565.2 }{3.14 \times 6^2}\\\\h=15\ mm[/tex]

So, the height of the cone is equal to 15 mm.

Answer:

7 x -7 = -49

Step-by-step explanation:

To solve 7 to the power of -2 we multiply 7 by -7.

(っ◔◡◔)っ ♥ Hope It Helps ♥

The value of 7 with an exponent of -2 is 1/49 .

Given,

7 with an exponent of -2.

Now,

Let us simplify the given statement.

[tex]7^{-2}[/tex] = 1/7²

Value of 7² is 49.

Thus the value of 7 with an exponent of -2  is 1/49 .

Know more about exponent,

https://brainly.com/question/602904

#SPJ6

Answer:

The relative number of 8th graders tat want smoothies is 0.18. Because when finding relative frequency you divide the number which was 45 by the final total which was 250.

So the correct answer is 0.18

(This is for another question like this)

Your answer would be D.) 0.05

Answer: It’s 0.05

Step-by-step explanation:

Got it correct

Answer:

x=0

Step-by-step explanation:

The axis of symmetry: [tex]x=\frac{-b}{2a}[/tex] when the equation is [tex]y=ax^2+bx+c[/tex]

The given equation is:

[tex]y=x^2-6[/tex]

To make the a and b values more easily identifiable, we can rewrite it like this:

[tex]y=1x^2+0-6[/tex]

Now, we can tell that a=1 and b=0. Plug these into the equation [tex]x=\frac{-b}{2a}[/tex] :

[tex]x=\frac{-(0)}{2(1)}\\x=0[/tex]

Therefore, the equation for the axis of symmetry for the parabola is x=0.

I hope this helps!

Answer:

Car B can travel further than Car A after the battery is fully charged.

D. Car B because the measures of variability are smaller for Car B than for Car A.

Step-by-step explanation:

Car B can travel further than Car A after the battery is fully charged because Car A has lesser mean and median than Car B.

Median divides the data into two halves. A smaller median means that there is lesser mileage of Car A than Car B.

There are two measures.

Measure of center tells us how much near or far the data is spread from the center.

The mean , median and mode are the measures of center.

Car A has less mean , median telling us that it traveled less.

Measure of Variability tells us how data changes with a single value.

Smaller MAD means the data is denser at the mean. Car B has lesser MAD.

Smaller IQR tells us that data is closer to the middle of the data.

Car B has smaller IQR .

So car B traveled consistently as it has smaller IQR and MAD

D. Car B because the measures of variability are smaller for Car B than for Car A.

Answer:

Car B can travel further than Car A after the battery is fully charged.

D: Car B because the measure of variability is smaller for Car B than for Car A.

Step-by-step explanation:

Answer:

3g

Step-by-step explanation:

We know that

20g = 8g + 4 * r

where r is the weight of a single red circle.

20g = 8g + 4 * r

12g = 4 * r

3g = r

Answer: 112

Step-by-step explanation:

educated guess

Answer:

x = 23

Step-by-step explanation:

surface area of a cube = 6s²

Side length, s = x - 5

Surface area of the cube = 1944 units²

What is the value of x?

surface area of a cube = 6s²

1944 = 6(x - 5)²

1944/6 = (x - 5)²

324 = (x - 5)²

324 = x² - 10x + 25

x² - 10x + 25 - 324 = 0

x² - 10x - 299 = 0

Solve quadratic equation using factorization

(x + 13) (x - 23) = 0

x + 13 = 0 or x - 23 = 0

x = -13 or x = 23

The side length can not be negative

Therefore, x = 23

Alright, this is a fairly simple equation if you consider the overall question. As the question states, every 5 of out 7 students voted in the election. This means that five sevenths of all students in the school casted a vote.

Now, what can we do with this information? Well, we know that there were 1095 votes in total. This means that five sevenths of the school who voted represents 1095 students.

Can you see the equation you need to write now? Let's use a simple equation with the variable 's' to represent the total number of students:

[tex]\frac{5}{7}[/tex] * s = 1095

As I elaborated earlier, this equation essentially means "5/7 of the entire student population is 1095 students." Now, we just need to isolate the variable 's' to get our final answer.

To get rid of the denominator, let's multiply both sides by 7:

[tex]\frac{5s}{7}[/tex] * 7 = 1095 * 7

5s = 7665

Finish it off by dividing both sides by 5 to get rid of s's coefficient:

[tex]\frac{5s}{5}[/tex] = [tex]\frac{7665}{5}[/tex]

s = 1533

There are 1533 total students in the school

And that's it! If you have any questions about how I solved it, feel free to ask!

- breezyツ