A wolf population is growing exponentially. In 2011, 129 wolves were counted. By 2013, the population had reached 236 wolves. Write the equation representing the population N of wolves over time t. Write your answer in the form a(b)^t. Round your b value to 3 decimal places. ​

Answers

Answer 1

Answer:

129 [tex](1.3526)^{t}[/tex]

Step-by-step explanation:

Assuming N = [tex]ab^t[/tex]

t = number of years after 2011

N = number of wolves

When  t = 0 , N = 129

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

a = 129

N = 129[tex]b^{t}[/tex]

When t = 2 , N = 236

therefore 236 = 129 [tex]b^{2}[/tex]

[tex]b^{2}[/tex]  = [tex]\frac{236}{129}[/tex]

therefore; b = 1.3526

Answer expressed in the form of a(b)^t.

129 [tex](1.3526)^{t}[/tex]


Related Questions

the recommended weight of an adult beagle is at least 18 pounds but no more than 30 pounds. Of a beagle puppy is currently 8 pounds, what is the recommended pounds the puppy should gain by the time it is an adult?

Answers

Answer:

The recommended weight of the puppy should be equal to or more than 18 pounds but less than 30 pounds. It can be seen as the inequality below too:

[tex]18 \leq x <30[/tex]

X representing the pounds of an adult beagle.

Hope this helps!

- Kay

How to round 106.327 to nearest hundredths explain

Answers

Answer:

106.33

Step-by-step explanation:

after decimal you have .3 tenths 2 hundredths 7 thousandths

to round to the nearest hundredths look at thousandths 7 becasuse is greater then 5 then you round up

106.327 is rounded to 106.33

Answer:

your answer is 106.3

Step-by-step explanation: so first you do this

[tex]106.327\\3 =tenths\\2= hundredths[/tex]

so when you round  if it is 5 or above you round up if it is 4 or below leave it alone

so the final answer is 106.3

when you round the 27 is removed and this is what you have left.

If a = 2 and b = 4, then 27 - b 2 ÷ a + (11 - 5) is equal to _____. 23 11.5 29 25

Answers

Answer:

29

Step-by-step explanation:

Plug in your variables and follow the order of operations.

11-5 which equals 6.

4x2 which is 8

then divide the 8 by 2 which equals 4

then subtract 27 and 4 which equals 23

and finally add 23 and 6 which equals 29.

What is the range of possible values for x?

Answers

The range of possible value for x is  3/2< x <24 , using properties of angle and sides.

How sides and angles are related ?

Side opposite to larger angle is always larger than other.

Here,

In  ΔBCE and ΔCED

BE=DE

CE=EC

AND BC>CD

So, from above statement, ∠BEC > ∠CED

then,

45 > 2x - 3

48 > 2x

24 > x  or  x < 24

And, angle is always greater than 0

So, 2x - 3 > 0

      2x > 3

      x > 3/2.

So, option 3rd is correct.

Learn more about angle and side from given link:

https://brainly.com/question/27758960

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Which of the following represents a line with a slope of 4, x-intercept of (2, 0) and a y-intercept of (0, -8)?

Answers

i dont see a picture...?

driving into a 20-mph breeze cuts gas mileage by about 12%. What will be your gas mileage in a 20-mph wind if it is 24 mi/gal with no wind

Answers

Answer:

the gas mileage would be 21.12 mi/gal

Step-by-step explanation:

The computation of the gas mileage is shown below:

Given that

Driving into a 20-mph

Gas mileage by approx 12%

No wind at 24mi/gal

based on the above information

The deduction would be

= 12% × 24

= 2.88 mi/gal

Now the actual mileage in 20-mph would be

= 24 - 2.88

= 21.12 mi/gal

hence, the gas mileage would be 21.12 mi/gal

Hamid has gained weight.
He now weighs 88 kg, which is 10% higher than his normal weight.
What is Hamid's normal weight?

Answers

Answer:

80 KG :)

Step-by-step explanation:

20 POINTS!!!!!!!!!!!!!
2+10=?????

Answers

Answer:

12

Step-by-step explanation: yes, big brain

the answer is 12

Step-by-step explanation:

10 add 2 altogether 12

A block of ice in the form of a cube has one edge 10 feet long. It is melting uniformly so that its dimensions decrease at a rate of 1/10 fps (feet per second). At what rate is the volume of the block changing when the edge is 5 feet long?

Answers

Answer:

-7.5 ft^3/sec

OR

Volume is decreasing at the rate of 7.5 ft^3/sec

Step-by-step explanation:

Side of cube = 10 feet

Rate of decreasing of side of cube = [tex]\frac{1}{10}\ feet/sec[/tex]

OR

Rate of change of side of cube = [tex]-\frac{1}{10}\ feet/sec[/tex]

To find:

Rate of change in volume when the edge is 5 feet long = ?

Solution:

Volume of a cone is given by:

[tex]V =Side^3[/tex]

If side is [tex]a[/tex] units, then Volume can be written as:

[tex]V =a^3[/tex]

Differentiating w.r.to time:

[tex]\dfrac{dV}{dt} = 3a^2\dfrac{da}{dt}\\\Rightarrow \dfrac{dV}{dt} = 3\times 5^2(-\frac{1}{10})\\\Rightarrow \dfrac{dV}{dt} = -7.5 ft^3/sec[/tex]

Negative sign indicates that the volume is decreasing at the rate of 7.5 ft^3/sec

Identify the independent and dependent variables.

A certain movie earns $1200 for each screen it is shown on.

PLZ HELP!!!!!!!

Answers

Answer:

Step-by-step explanation:

Step one:

given data

we are told you earn $1200

the linear function for the cost is expressed as

y=1200x-----------------1

Step two:

We want to bring out the following information

Independent: The number of screens which is x

Dependent: The total revenue which is y

Function: y=1200x

What is a dependent variable?

This is a variable that rely on the value of other terms

What is a independent variable?

this is a variable that does not rely on other terns

Marta said that she would complete the table of equivalent ratios by adding 2 to each number in the x and y rows to find the next pair of numbers. Marta’s solution does not work. What should Marta have done? Equivalent Ratios x 2 4 y 3 6 Marta’s solution does not work. What should Marta have done? Marta should have plotted the ordered pairs that were given and then, starting with the last point, moved up 3 and right 2 to find each next point. Marta should have plotted the ordered pairs that were given and then, starting with the last point, moved up 2 and right 3 to find each next point. Marta should have plotted the ordered pairs that were given and then, starting with the last point, moved down 3 and right 2 to find each next point. Marta should have plotted the ordered pairs that were given and then, starting with the last point, moved down 2 and right 3 to find each next point.

Answers

Answer:

A. Marta should have plotted the ordered pairs that were given and then, starting with the last point, moved up 3 and right 2 to find each next point.

Step-by-step explanation:

I took the test

Marta should have plotted the ordered pairs that were given and then, starting with the last point, moved up 3 and right 2 to find each next point.

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

We know Equivalent ratios are those ratios when two or more fraction on simplification gave the same value.

So, the find the equivalent ratio to given ratio can be achieved by multiplying or dividing the same number to Numerator and Denominator of the fraction.

Thus, Marta should have plotted the ordered pairs that were given and then, starting with the last point, moved up 3 and right 2 to find each next point.

Learn more about Ratio here:

https://brainly.com/question/13419413

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The medians of triangle XYZ intersect at Point P. If PY=12, what is VY?

Answers

Answer:

18

Step-by-step explanation:

PY = [tex]\frac{2}{3}[/tex] YV

[tex]\frac{2}{3}[/tex] YV = 12

VY = 18

PLEASE HELP! NO ONE WANTS TO HELP ME :( the person who would help me is the nicest.

Answers

1. 9/13

2 . 45/2 =  22  1/2

3.  9

4. 45/8 = 5 5/8  

Answer: The one of the top right has the greatest value.

Explanation: Well, I see on the right side it allows you to use a calculator, so just use one.

The one on the top left is 2 and 1/4.

The one of the top right is 22 and 1/2.

The one on the bottom left is 9.

The one on the bottom right is 5 and 5/8.

The one on the top right (22 and 1/2) has the greatest value.

A sample survey was taken of 100 students to determine which of three homecoming themes students prefer. The percentages of students
selecting themes A and B are shown in the table.
Theme A (96)
Theme B (%)
25
45
If the remaining students selected theme C, which statistical model could be used to make predictions about the theme a random student might
prefer?
O A 5 white marbles, 6 yellow marbles, and 9 green marbles
OB. 5 white marbles, 6 yellow marbles, and 8 green marbles
OC 4 white marbles, 6 yellow marbles, and 9 green marbles
OD 4 white marbles, 6 yellow marbles, and 8 green marbles

Answers

Following the same proportions as the table, the correct option is:

A. 5 white marbles, 6 yellow marbles and 11 green marbles.

---------------------------------------

From the table, we have that:

25% of the students prefer Theme A(white).45% of the students prefer Theme B(green).The rest, that is, 100 - (25 + 45) = 100 - 70 = 30% of the students prefer Theme C(yellow).

---------------------------------------

For the marbles, we have to find an option in which the proportions are the same, that is: 25% white, 45% green, 30% yellow.

---------------------------------------

Option A:

Out of 20, 5 white, 6 yellow and 11 green.

[tex]\frac{5}{20} = 0.25, \frac{6}{20} = 0.3, \frac{11}{20} = 0.55[/tex]

Same proportions, thus, option A is correct.

A. 5 white marbles, 6 yellow marbles and 11 green marbles.

A similar question is given at https://brainly.com/question/19905617

Answer:

A.  5 white marbles, 6 yellow marbles, and 9 green marbles

Step-by-step explanation:

the amount of marbles adds up to 20, this would make one marble worth 5/100. so 5 white marbles is 25% (theme A) 9 green marbles is 45% (theme B) and 6 yellow marbles is 30% (theme C)

Answers

Answer:

there's no question...

Which point is located at (8, 6)?
1014
C
B
B

Answers

B is the correct answer

WHATS 2.05 DIVIDED BY 164 IM IN 6TH GRADEE AHHH

Answers

Answer: 0.0125 is your answer

Answer:

2.05/164=0.0125 or 1/80

what is the approximate area of a circular pond that has a radius of 35 meters?​

Answers

A=r^ 2 * pi=35^ 2 *3.14=3846.5m

determine the intersepts ​

Answers

Answer:

Step-by-step explanation:

y = (0,-10)

x = (3,0)

hope this helped

The y-intercept is located at (0, -10).

The y-intercept is the value of y when x = 0. This point can be found on the y-axis.

The x-intercept is located at (3,0).

The x-intercept is the value of x when y = 0. The point(s) can be found on the x-axis.

If AB = x + 4, BC = 2x - 10, and AC = 2x + 1, then find the value for BC.
11
7
4
15
None of the other answers are correct

Answers

Answer:

4

Step-by-step explanation:

AB + BC = AC

(x + 4) + (2x - 10) = 2x + 1

x + 4 + 2x - 10 = 2x + 1

x - 6 = 1

x = 7

BC = 2(7) - 10 = 4

PLS SOLVE!!!!! THANK YOU!!!!!

Answers

Angle Goe is a right angle so 90° therefore to get y the equation would be 3y+27=90 solve to get y sorry I don’t have a pencil or paper to get s you do 9x+18+the number that equals y = 180 that might be confusing sorry

8. A novel has 14 times as many pages as a short story. The combined number

of pages in the books is 390 pages. How many pages are in each book?

Answers

Answer:

The short story have 26 pages

The novel's pages is  364

Step-by-step explanation:

Step one:

given data

let the short story have x pages

so that the novel's pages will be 14x

the combined pages for novel and short story is =390 pages

Required

the individual number of pages

14x+x=390

15x=390

divide both sides by 15

x=26

the short story have 26 pages

the novel's pages will be 14(26)= 364

Interest on an investment is considered what

Answers

Answer:

investment interest expense is any amount of interest that is paid on loan proceeds used to purchase investments or securities. Investment interest expenses include margin interest used to leverage securities in a brokerage account and interest on a loan used to buy property held for investment

(Giving brainliest on this one, pls help ASAP!)

Solve two and one third times two and three fourths.

A) four and three twelfths
B) six and five twelfths
C) seven and five twelfths
D) eight and three twelfths

Answers

Answer:

B

.........................

Answer:

B

Step-by-step explanation:

2 1/3 x 2/34

(2 x 3) + 1 = 7/3

(2 x 4) + 3 = 11/4

7/3 x 11/4 = 77/12

77 ÷ 12 = 6 5/12

So B

Mike earn $34 in 4 hours on his job today he wants to know how much would he earn if he wants 10 hours tomorrow

Answers

Answer:

85 dollars

Step-by-step explanation:

34/4=8.5

8.5*10=85

Answer: 85$

Explanation:
An easy way to solve this is by putting this in a fraction format, I attached a picture showing this

Write the equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3

Answers

Answer:

The equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3 is:

[tex]\mathbf{y=-\frac{2}{3}x+1}[/tex]

Step-by-step explanation:

We need to write equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3.

The equation for slope-intercept form is: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept.

We are given slope m = -2/3 and we need to find y-intercept i.e b to write equation of line.

Using point (3,-1) and slope m=-2/3 we can find y-intercept i.e b

[tex]y=mx+b\\-1=-\frac{2}{3}(3)+b\\-1=-2+b\\b=-1+2\\b=1[/tex]

So, y-intercept b = 1

The equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3 is:

[tex]y=mx+b\\\mathbf{y=-\frac{2}{3}x+1}[/tex]

Solve this system of equations by using a matrix. 6x-5y=-15, 4x+3y=-10

Answers

Answer:

(-2.5,0)

Step-by-step explanation:

1.5(4x+3y)=-10(1.5) =

6x+4.5y=-15

6x+4.5y= 6x-5y (substitution)

-6x from both sides

4.5y =-5y

y=0

6x-0=-15

divide by 6

x=-2.5

Check:

-2.5(4)+3(0)=-10

-10= -10 (correct!)

(6)-2.5-0=- 15 (correct!)

The slope of the line that passes through the points (-2, -3) and (8, -3) is....

Positive

Negative

Zero

Undefined

Answers

Answer:

Zero

Step-by-step explanation:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-2,\:-3\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:-3\right)\\\\m=\frac{-3-\left(-3\right)}{8-\left(-2\right)}\\\\m=0[/tex]

It is Zero because there is no change on the y axis

If it was no change on the x it would be undefined because you can’t divide by zero

so it should be zero

As a product of prime factors        36 = 22 × 32
Write 48 as a product of prime factors.

Answers

The answer is: 2x3x2x2x2
Answers is 2x3x2x2x2

[tex]x^{2} \geq \pi \alpha[/tex]

Answers

Answer:

x≥√πax≥πa or x ≤−√πa

Step-by-step explanation:

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