A population of 45 foxes in a wildlife preserve doubles in size every 10 years. The function y = 45 * 2 ^ x where x is the number of 10-year periods, models the population growth . How many foxes will there be after 20 years After 20 years there will be Foxes(Type a whole number.)

Answers

Answer 1

Answer: 180

Step-by-step explanation:

Given

The population of 45 foxes doubles in 10 year period

Population follows [tex]y=45\cdot 2^x[/tex]

After 20 years i.e. x=2  Population is given by

[tex]y=45\cdot 2^2=45\times 4\\y=180[/tex]

Thus, there will be 180 foxes after 20 years


Related Questions

Whats the area of a circle with a circumference of \blueD{50.24}50.24start color #11accd, 50, point, 24, end color #11accd units.

Answers

Answer:

[tex]A=200.96\ unit^2[/tex]

Step-by-step explanation:

Given that,

The circumference of the circle, C = 50.24 units

We need to find the area of the circle.

The formula for the circumference of the circle is given by :

[tex]C=2\pi r[/tex]

r is the radius of the circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{50.24}{2\times 3.14}\\\\r=8\ units[/tex]

The formula for the area of a circle is given by :

[tex]A=\pi r^2\\\\A=3.14\times 8^2\\A=200.96\ unit^2[/tex]

So, the area of the circle is equal to [tex]200.96\ unit^2[/tex].

Which equation has no real solutions?
A 2x2 + 2x + 15 = 0
B 2x2 + 5x – 3 = 0
C 1 x2 + 7x + 2 = 0
D x2 - 4x + 2 = 0

Answers

A has no real solution. See the picture below for details.

3x – 9y + 2x – 2x
simplify

Answers

Answer:

3x-9y

Step-by-step explanation:

both 2x's in the equation cancel out to zero leaving the answer

Help ASAP
Here is a system of linear equations: -2x + y = 7
6x + y = 11
What is the solution to the system of equations shown?
A
(1/4, 7 1/2)
B.
(2, 11)
c.
(1/2, 8)
D.
(3, -7)
Yes

Answers

Answer:

c. (1/2, 8)

Step-by-step explanation:

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

-2x + y = 7

Step 1: Subtract y from both sides of the equation.

-2x = -y + 7

Step 2: Divide both sides by -2

x = 1/2y - 7/2

Substitute what you see above this statement for y in the other equation.

6(1/2y - 7/2) + y = 11

Step 3: Multiply 6 by 1/2y - 7/2.

3y - 21 + y = 11

Step 4: Combine y and 3y.

4y - 21 = 11

Step 5: Add 21 to both sides

4y = 11 + 21

4y = 32

Step 6: Divide both sides by 4.

y = 32/4

y = 8

Step 7: Substitute 8 for y in x = 1/2y - 7/2 Because the resulting equation contains only one variable, you can solve for x directly.

x = 1/2(8) - 7/2

Step 8: Multiply 1/2 by 8.

x = 4 - 7/2

Step 9: Add -7/2 to 4.

x = 1/2

The system is now solved, and we get C (1/2, 8) as our answer.

Answer:

C

Step-by-step explanation:

I did the test myself

the quotient of 22 and a number a
Write the phrase as an expression ​

Answers

Answer:

22/a

Step-by-step explanation:

The quotient of 22 and a number = 22/a

Help please, not sure how to do this...​

Answers

Answer:

8.38

Step-by-step explanation:

The underlined number is in the hundredths place, so that means that we're going to round there. That means that you look at the number to its right and if it's lower than 5, it stays the same. However, if it's 5 or higher, you round it up. For example, if the number was 8.386, we would round it to 8.39.

What is the value of x in the equation −8 + x = −2?

Answers

I think that the answer is X=2/7. I hope this helps!!! :)

NEED ASAP
a board that is 3 yards long is to be cut into 4/5 equal-size pieces. how many whole pieces can be cut?

Answers

Answer:

Only 3 boards can be cut if they are whole

Hey, so I REALLY want to rank up and I just need 2 more "Brainliests" so if you like my answer, can you please give me a Brainliest? If not, that's okay! Thank you so much!

Guys pls help me!!!!!!!!

Answers

Answer:

D. y = -x^2 + 1

Step-by-step explanation:

please help me im bad at math and i math you as brainlest if you help me

Answers

Answer:

1st one

Step-by-step explanation:

1st one lolllslslslslslslslsls

HELP ASAP PLEASE!
Write a rule for the sequence.
4, 8, 16, 32, ...

Start with 4, and multiply by 2 repeatedly.
Start with 4, and add 8 repeatedly.
Start with 4, and add 2 repeatedly.
Start with 2, and multiply by 4 repeatedly.

Answers

start with 4 and multiply by 2 repeatedly

can someone help please??

Answers

Answer:

iput the equation into my calculator and i graphed it and found the roost

Step-by-step explanation:

the answer is d

Can u help solve this step by step?

Answers

Answer:

[tex]\sqrt{28}[/tex]

Step-by-step explanation:

It is given that the triangle (QRS) is right, thus one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states,

[tex](a)^2+(b)^2=(c)^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle and (c) is the hypotenuse or the side opposite the right angle. The unknown side in the triangle is a leg, thus, let (b) represent this value. Substitute in the given values and solve,

[tex](6)^2+(b)^2=(8)^2\\\\36+b^2=64\\\\b^2=28\\\\b=\sqrt{28}[/tex]

When identifying properties of n - sided polygons where 3 _< n <_ 10. What does 3 <_ n <_ 10 means ?

Answers

9514 1404 393

Answer:

  3 ≤ n ≤ 10 means "three is less than or equal to n, which is less than or equal to 10"

  you're concerned with polygons having 3 to 10 sides, inclusive.

Step-by-step explanation:

The symbol ≤ means "less than or equal to." The compound inequality ...

  3 ≤ n ≤ 10

means the value of n may range from 3 to 10, inclusive.

__

In the present context, where n is a number of sides, it means you're concerned with polygons that are any of ...

  triangle, quadrilateral, pentagon, hexagon, ...

  heptagon, octagon, nonagon, decagon

HELP PLEASE
Determine the solution to the following system of equations.

y = -2x2 + 4x + 8
y = -4x + 16

Answers

Answer:

(x, y) =([tex]\frac{9}{2}[/tex], -2)

um yuh?

Choose all of the expressions that are equal to 1,024.

a. 4 × 4 × 4 × 4 × 4
b.5 × 5 × 5 × 5
c.4/5
d.5/4
.e2/10

Answers

The only one that gives 1024 is A.

Giving brainliest for the correct answer

Answers

Answer:

8

Step-by-step explanation:

all sides are equal if its a square therefore a given length will be multiplied four times since all sides are equal

Answer:

8 in.

Step-by-step explanation:

Perimeter of square = 4l = 4 * 2 =. 8 in.

what is the perimeter of the larger triangle?

Answers

42 ft

Source(s):

Dude trust me

I don’t understand this. Please help

Answers

Answer:

x = 150

Step-by-step explanation:

(n-2)180       (n = the amount of sides)

(12 - 2)180

(10)180

1800

1800/12 = 150

The length of one edge of a cube is 7 units. What is the volume of this cube in cubic units? HELPPPPPP JUSTIFY THE ANSWER PLEASEEE

Answers

Answer:

Step-by-step explanation:

A cube has an edge length of 5 inches

When I know the side length of a cube, I can find its surface area and express it using appropriate units.

I can write and explain the formula for the surface area of ​​a cube.

The volume of a cube with edge length [tex]S^{}[/tex] is .[tex]S^{3}[/tex]

A cube has 6 faces and they are all identical squares. The surface area of ​​a cube with edge length [tex]S^{}[/tex] is. 6 DIVIDE [tex]S^{2}[/tex]

This is geometry please help

Answers

Answer:

9

Step-by-step explanation:

mn ~Jk

mn x 5/3 = 15

mn = 15 x 3/5

MM = 9

What is the Alternate Hypothesis for the following situation:
At most 60% of American vote in the presidential elections.

Answers

Answer:

The alternative hypothesis is; Hₐ;

[tex]\hat p[/tex] > 60%

Step-by-step explanation:

The given hypothesis of the number of Americans that vote in the presidential election is;

Hypothesis; At most 60% of Americans vote in the presidential elections

Therefore, the hypothesis states that the percentage of Americans that vote in the presidential ≤ 60%

The given hypothesis is the null hypothesis due to the presence of one of the operators ≤, ≥, or =

The null hypothesis is therefore, H₀: [tex]\hat p[/tex] ≤ 60%

Therefore, the alternative hypothesis is; Hₐ; [tex]\hat p[/tex] > 60%.

Write the equation Y=mx+b Not just the rate of change

Answers

Answer:

y=2/5x+8/5

Step-by-step explanation:

so say you plot a graph of rain against the hours the gradient would be the rate of change and the information given as your points and the gradient

now to get an equation of a straight line use one of your points eg(1,2) and the gradient or rate of change mine was 0.4

HELP ASAP!!!!! 25 POINTS + BRAINLIEST!!!!



(if it is not a ligament answer, i will report)

Answers

Answer:

2 x 3(x + 4) + 2 x 7(x + 2) = 20x + 52

Step-by-step explanation:

2 x 3(x + 4) + 2 x 7(x + 2) = 6x + 24 + 14x + 28 = 20x + 52

Jamal performed an experiment flipping a coin. He did 10 trials and then his arm got tired. He recorded his results in the table. Based on the experimental probability, Jamal predicted that the number of times the coin lands heads up will always be greater than the number of times it lands tails up. What is the error in his prediction?

Answers

Answer:

The error in his prediction is that he had too small of a sample size for the data to be reliable in how the trend would continue.

Answer:

He did not perform enough trials to compare the theoretical and experimental probabilities.

Step-by-step explanation:

What is the solution to the system of equations graphed below???

Answers

Answer:

The solution is (-2,-2)

Step-by-step explanation:

This is the point where the two graphs intersect.

what is the slope pls help

Answers

The slope should be 3x

Answer: 19,7

Step-by-step explanation:

If the designer measures the pond and determines that the length of the pond across is 400 feet wide, what is the length of the radius?

Answers

Answer:

200 ft

Step-by-step explanation:

I assume that 400 ft is the diameter, in which case the radius is 1/2 if the diameter. Therefore, 1/2 of 400 is 200.

Hope this helps!

which is greater 3.2×10¹⁰ or 4×10¹²​

Answers

4x10 to the power of 12
4 x 10^12 is greater .

A bag contains 30 ping-pong balls, each with a different number written on it from 1 to 30. What is the probability of selecting a ball with a number that is less than 13?

Answers

Answer:

...

Step-by-step explanation:

Answer:

so you have a 40% chance or 2/5 chance

Step-by-step explanation:

30 numbers in total

12 are less than 13

so you have a 12/30

simplify

2/5 = 0.4 or 40%

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