The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 15000.

(a) Find a function that models the population
t
years after 2000 (
t
=
0
for 2000).
Your answer is
P
(
t
)
=




(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer must be an integer)

The area of a circle to derive the formula for the area of a sector will be (θ/2π) x (area of the circle).

Let r be the radius of the circle. Then the area of the circle will be

Area = πr²

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the area of the sector of the circle will be

Area = (θ/2π) πr²

Area = (θ/2π) x (area of the circle)

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Answer:

w (number)  = 2/3

Step-by-step explanation:

Variable w means use the letter w as the unknown number :

This is the equation made from the question :

2+(9w) = 8

Let's subtract 2 from both sides :

9w = 6

Divide both sides by 9 :

w = 6/9

Simplify fraction :

w = 2/3

Hope this helped and have a good day

Answer:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

0.223 is the answers for the question but I got this answer 0.181

Step-by-step explanation:

please mark me as brainlest

The probability that the person has an IQ greater than 120 is 0.2524 of 25.24%

It is a branch of mathematics that deals with the occurrence of a random event.

Given:

IQ is normally distributed with a mean of 100 and a standard deviation of 15.

probability that the person has an IQ greater than 120,

P(x >120)

= P(Z > 120-100/ 15)

= P(Z > 0.667)

 P(x >120) = 1-  P(Z <  0.667)

                  = 1-0.7476

                 = 0.2524

                = 25.24%

Hence, the probability is 0.2524.

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The maximum height of the object is 82.7034 from the ground

Velocity is the measure of movement of an object with respect to time.

It is measured in m/sec

h = -4.9t²+21.6t +58.9

dh/dt = -9.8t +21.6

At maximum height ,  velocity = 0

therefore

-9.8t +21.6 = 0

9.8t = 21.6

t = 2.204 sec

h = -4.9 (2.204)²+ 21.6 * 2.204 +58.9

h = -23.803  +47.606 +58.9

h = 82.7034 from the ground

h = 23.80 from the point it is launched.

The maximum height of the object is 82.7034 from the ground

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Answer:

For plato users, the answer would be letter C.

Step-by-step explanation:

A.

It represents neither a relation nor a function.

B.

It represents a relation only.

C.

It represents both a relation and a function.

D.

It represents a function only.

This equation represents both a relation and a function.

Took the test, hope this helps!

Step-by-step explanation:

Answer:

J Trump has to be a great day of school and I have a great

Step-by-step explanation:

you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you for your loss of school and I have a great day of school ii

Answer: The graph shown

Step-by-step explanation:

Another graph of the function is attached in this answer.

Answer:

- 112 + 100 n

Step-by-step explanation:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1 )d

~~~~~~~

[tex]a_{1}[/tex] = - 12

d = 100

[tex]a_{n}[/tex] = - 12 + 100( n - 1 )

[tex]a_{n}[/tex] = - 12 + 100n - 100

[tex]a_{n}[/tex] = - 112 + 100 n

Step-by-step explanation:

hope you can understand

Step-by-step explanation:

2 hours and 45 minutes.

8:45am + 2 hours = 10:45am

10:45am + 45 minutes = 11:30 am

Answer:

x-intercepts: -5 +/-[tex]\sqrt{21}[/tex]. y-intercept: 4

Step-by-step explanation:

For x-intercepts use the quadratic equation

[tex]x= (-b +/-\sqrt{b^2-4ac} )/2a[/tex]

Fill in your values:

[tex]x= (-10 +/-\sqrt{100-16} )/2[/tex]

And solve

[tex]x=-5 +/- \sqrt{21}[/tex]

For y-intercepts set x=0 and solve. In this case, setting x= 0 gives you y=4.

If the radius of tree stump is 11 inches and volume is 13685 cubic inches then the height will be equal to 36 inches.

Given Radius of tree stump is 11 inches and volume is 13685 cubic inches.

We know that the volume of cylinder will be equal to π[tex]r^{2} h[/tex].

Volume which is given as 13685 cubic inches.

13685=π[tex]r^{2}h[/tex]

π=22/7

13685=π[tex](11)^{2}[/tex]h

h=13685*7/22*121

h=95795/2662

h=35.98

if we round it to nearest tenth then the value of h be 36 inches.

Hence if radius is 11 inches, volume is 13685 cubic inches then the height of tree stump will be 36 inches.

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Answer:36

Step-by-step explanation:

The match is shown in the picture for the function of a parabola and the graph of a parabola.

It is defined as the graph of a quadratic function that has something bowl-shaped.

As we know the standard form of the parabola is:

y = a(x - h)² + k

If a > 0 (parabola opens upwards)

If a < 0 (parabola opens downwards)

or

x = a(y - h)² + k

If a > 0 (parabola opens right side)

If a < 0 (parabola opens left side)

Here (h, k) is the vertex of the parabola and a is the leading term.

Thus, the match is shown in the picture for the function of a parabola and the graph of a parabola.

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The solution to the system of equation is (-4 , 2) , Option A is the right answer.

A set of equation whose factors are common are called system of equations.

It is given in the question

3x +5y = -2

3x +7y = 2

On solving this we get

-2y = -4

y = 2

On substitution in any equation

x = -4

Therefore solution to the system of equation is (-4 , 2) , Option A is the right answer.

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Answer:

A.

Step-by-step explanation:

took tha quiz

Manual paid with a $10 bill and he got $2.46 as a change.

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtraction is signified by the minus sign, −.

Money spent on sandwich=$4.56 and money spent on drink=$2.98.

We need to find out how much did he spend in all.

That is, the total money spent=4.56+2.98=$7.54

He paid with a $10 bill, he gets change as 10-7.54=$2.46

Hence, he paid with a $10 bill and he got $2.46 as a change.

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6/7 converted to a decimal is 0.8571

From the question, we are to convert the given fraction to a decimal

The given fraction is

6/7

6/7 = 0.8571

Thus,

6/7 expressed as a decimal is 0.8571

Hence, 6/7 converted to a decimal is 0.8571

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The question is incomplete. Below you will find the missing figure.

Two friends, Andrew and Liz, are playing a game using this spinner. If the

spinner lands on region 2 or 3, Andrew wins. If it lands on region 4, Liz wins. If it lands on any other region, neither wins. Is this a fair game?

A. Yes. Each friend has a 1/4 probability of winning.

B. Yes. Each friend has a 1/6 probability of winning.

C. No. Andrew has a probability of 1/4 winning and Liz has a probability of 1/6 winning.

D. No. Andrew has a probability of 1/3 winning and Liz has a probability of 1/4 winning.

The correct option is Option A: Yes. Each friend has 1/4 probability of winning.

Probability is the possibility of an event to happen which is the ratio of no. favorable outcomes and no. of total outcomes.

P = no. of favorable outcome/ total no. of outcome

Here given in the question,

If the spinner touches region 2 or 3, Andrew wins

If the spinner touches region 4, Liz wins.

This is fair play because both have the same size of region for winning.

If we cut the circle into 8 pieces,

as region 1 is the sum of 2 sub-parts of the circle,

possibility of spinner touching region 1= 2/8= 1/4

possibility of spinner touching the small region = 1/8

So the possibility of the spinner touching the region 2or 3= 1/8+1/8= 2/8= 1/4

Hence the possibility of Andrew wins= possibility of the spinner touching region 1= 1/4

possibility of Liz wins= possibility of the spinner touching the region 2 or 3= 1/4

Therefore the correct option is Option A: Yes. Each friend has 1/4 probability of winning.

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The percentage of 24-ounce bags containing more than the advertised 24 ounces of chips will be -1.25.

The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.

Given data;

Mean,μ = 25

Standard deviation,σ=0.8

The Z score is found as;

[tex]\rm Z = \frac{x-\mu}{ \sigma } \\\\ Z = \frac{24-25}{0.8} \\\\ Z= -1.25[/tex]

The P-value for the obtained z score is  .2113.

Hence the percentage of 24-ounce bags containing more than the advertised 24 ounces of chips will be -1.25.

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Answer: Right iscoleces triangle

Step-by-step explanation: The square on the left bottom side means it is a right angle. The lines means that a side is congruent to the other side. By definition, iscoleces triangles have two congruent sides, so this must be it.

Answer:

right isosceles

Step-by-step explanation:

the right angle and the two sides that are equal make the triangle a right isosceles

Answer: [tex]y=-\frac{1}{3} x-3[/tex]

Step-by-step explanation:

To find the inverse of a function you must first swap the places of x and y

[tex]x=-3y-9[/tex]

Now solve for y

Step 1: Flip the equation.

[tex]-3y-9=x[/tex]

Step 2: Add 9 to both sides.

[tex]-3y-9+9=x+9\\-3y=x+9[/tex]

Step 3: Divide both sides by -3.

[tex]\frac{-3y}{-3} =\frac{x}{-3} +\frac{9}{-3} \\y=-\frac{1}{3} x-3[/tex]

Answer:

[tex]80\times3[/tex]

Step-by-step explanation:

Based on the given conditions, formulate:  [tex]80\times3[/tex]

Calculate the product or quotient: 240

get the result: 240

Answer: 240

To find this answer, we had to use the expression 80 * 3, therefore making it the answer.

Answer:

240

Step-by-step explanation:

80*3=240

so u multiply the equation

Answer:

x²-16x+64

Answer:

  (x -8)² = x² -16x +64

Step-by-step explanation:

A lot of math is about pattern recognition. For many of the patterns you are asked to recognize, it is helpful to be very familiar with basic math facts: addition facts, multiplication facts, and the squares and cubes of small integers.

All of algebra is based on a few properties of arithmetic and equality. One that is important here is the distributive property.

__

One of the patterns that is used with quadratics is the square of a binomial.

  (a - b)² = a² -2ab +b²

This is the result of applying the distributive property several times.

First of all, the exponent indicates repeated multiplication:

  (a -b)² = (a -b)×(a -b)

The distributive property tells you each term outside parentheses multiplies each term inside:

  = a×(a -b) -b×(a -b)

  = a·a -a·b -b·a +b·b . . . . . and again

Now, we collect terms, recognizing that ab=ba.

  = a² -2(a·b) +b² . . . . . . . using exponents for repeated multiplication

So, the pattern for the square of a binomial is ...

  (a -b)² = a² -2ab +b²

__

For your specific case, ...

  (x -8)² = x² -2(x)(8) +8² . . . . . . using the above pattern

  (x -8)² = x² -16x +64

_____

Additional comment

If you want to do this without using the pattern, just make use of the distributive property:

  [tex](x-8)^2=(x-8)(x-8)\\\\=x(x -8) -8(x-8)\\\\=x^2-8x-(8x-64)\\\\=x^2-8x-8x+64\\\\\boxed{(x-8)^2=x^2-16x+64}}[/tex]

__

While the distributive property is the fundamental property involved, some find it helpful to remember a mnemonic that gets you to the same result for the product of binomials: FOIL. The letters refer to First, Outer, Inner, Last, and they remind you of the terms that make up the expansion of the product:

Then the product is ...

  (x -8)² = x² -8x -8x +64 = x² -16x +64

__

Of course, the distributive property is involved in what we call "collecting terms."

  -8x -8x = (-8-8)x = -16x

The variable is factored out using the distributive property, then the coefficients are added to simplify the expression in parentheses.

Answer: [tex]\frac{5\pi}{3}[/tex]

Step-by-step explanation:

[tex]A=(\sqrt{20})^{2}(\pi)\left(\frac{30}{360} \right)=\boxed{\frac{5\pi}{3}}[/tex]

Based on the information given, the correct options will be

y = x + 6 and 3x - 3y = -18 .... Infinitely many solutions.

y = -2x + 5 and 2x + y = -7 .... No solution.

y = -4x + 11 and -6x + y = 11 ... One solution.

Solving equations

y = -4x + 11 ....... equation i

-6x + y = 11 ...... equation ii

Put equation i into ii.

-6x + y = 11

-6x + (-4x + 11) = 11

-6x - 4x + 11 = 11

-6x - 4x = 11 - 11

-10x = 0

x = 0

Therefore, x = 0 and y = 11. This gives a solution for each variable.

y = -2x + 5 ..... i

2x + y = -7 ..... ii

Put equation I into ii

2x + y = -7

2x + (-2x + 5) = -7

2x - 2x = -7 - 5

0 = -12

This indicates no solution.

y = x + 6 ..... i

3x - 3y = -18 ..... ii

Put equation I into ii

3x - 3y = -18

3x - 3(x + 6) = -18

3x - 3x - 18 = -18

3x - 3x = - 18 + 18

0 = 0

This implies that there are infinitely many solutions.

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Answer:

(-2, -4)

Step-by-step explanation:

Use the (x,y) thing:

x = -2

y = -4

therefore, (-2, -4)