The fox population in a certain region has an annual growth
estimated that the population in the year 2000 was 25800.
rate of 4 percent per year. It is
(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 should be an integer)

You: 3, 6, 9, 12

Friend: 4, 8, 12, 16

Your friend sells 16 tickets.

Answer:

you is 5 and friend is 12 and 16 your friend sells 16 tickets

Step-by-step explanation:

Answer:

2x - 2,000 = 28,000

Step-by-step explanation:

1. Define Variables

          Frank's Income = x

2. Write Equation

           2x - 2,000 = 28,000

3. Solve (if necessary)

           2x - 2,000 = 28,000

           2x = 30,000

           x = 15,000

Answer:

  f(x) = 1/8(x +4)^2(x +1)(x -3)

Step-by-step explanation:

The end behavior shows both ends of the graph headed to +∞. That means ...

There are zeros at x=-4, -1, 3. The graph does not cross the x-axis at x=-4, so that zero has even degree. The smallest degree that will satisfy the degree requirements is 4, where the zero at x=-4 is of multiplicity 2.

__

You know that zero x=p means (x-p) is a factor. The multiplicity is the exponent of the factor, so the factored function so far is ...

  f(x) = (1/a)(x +4)^2(x +1)(x -3)

When x=0, this is ...

  f(0) = 1/a(4^2)(1)(-3) = -48/a

The graph shows you the y-intercept is -6, so ...

  -6 = -48/a

  a = 8

The factored polynomial is ...

  \(f(x)=\dfrac{1}{8}(x+4)^2(x+1)(x-3)\)

Given data:

The given expression is x^2 + 4x = 8 .

The given expression can be written as,

Thus, the option (A) is correct.

Answer:

4 cakes

Step-by-step explanation:

Answer: Infinitely many solutions

Step-by-step explanation:  0 = 0

30*2

60

again 2(a+b)

2(30+2)

2*32

64

Answer:

y = -2x + 16

Step-by-step explanation:

Slope-intercept form is:

Where m = slope

b = y-intercept

To find the slope of the line containing (7,2) and (2,12), we have to find the slope, m.

Now, to find the y-intercept (b), insert m = -2 into the equation and one of the given points:

let's use point (7,2) to find b:

Now, we can find the equation of this line:

Answer:

y=-2x+16

Step-by-step explanation:

First we should find the slope.

We can use the formula (y2-y1)/(x2-x1)

(12-2)/(2-7)=10/-5=-2

So, the slope is -2.

From there, we can plug in one of the points into the standard slope-intercept equation, y=mx+b, along with the slope we already found

y=-2x+b

12=-2(2)+b

12=-4+b

b=16

So, the slope-intercept equation is y=-2x+16

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

I did not understand Q3 and I could not, but I understood Q2

The answer is Q2: 12 liters

Answer:

11.25

Step-by-step explanation:

7+2=9, 9÷\(\frac{4}{5}\)=11.25

Answer:

The number is 11¼.

Step-by-step explanation:

\( \frac{4}{5} \times x - 2 = 7 \\ \frac{4}{5} x - 2 = 7 \\ \frac{4}{5} x = 7 + 2 \\ \frac{4}{5} = 9 \\ \frac{ \frac{4}{5} }{ \frac{4}{5} } x = \frac{9}{ \frac{4}{5} } \\ x = 11 \frac{1}{4} \)

Correct question with correct options has been attached

Answer:

37

Step-by-step explanation:

Let C represent those dressed as heroes and let B represent those wearing mask

Thus;

n(C) = 39

n(D) = 45

We are told that 21 entrants were dressed as heroes wearing a mask.

Thus; n(C n D) = 21

We are also told that there were a total of 100 entries.

Thus, n(T) = 100

Now, number of entrants neither dressed as heroes nor wearing a mask is given by;

n(T) - n(C u D)

n(C u D) = n(C) + n(D) - n(C n D)

n(C u D) = 39 + 45 - 21

n(C u D) = 63

Thus;number of entrants neither dressed as heroes nor wearing a mask is: 100 - 63 = 37

Answer:

1

Step-by-step explanation:

1 : 1 :sqrt(2)

The legs are  in the ratio of 1 to 1

tan 45 = opp side / adj side

tan 45 = 1/1

tan 45 =1

Answer:

Step-by-step explanation:

The normal range using a compound inequality is 1.5 < x < 4

From the question, we have the following parameters that can be used in our computation:

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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The function f(x) = (x² - 64)^1/11 does not have an absolute extrema along the interval [-8. 9]

An absolute extremum  which is also called global extremum of a given function along an interval is the point at which a maximum or minimum value of the function exist. However, the interval given is the function's domain, and the absolute extremum is the point that corresponds to the maximum or minimum value of the entire function.

In the question, the function f(x) = (x² - 64)^1/11 is given

The function in this interval at [-8, 9] has no absolute extrema

This implies that the absolute extrema does not exist

However, the functions does have an absolute or global minima which is given along (0, (-64)^1/11)

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Answer:b

Step-by-step explanation:

Answer:

1/1

Step-by-step explanation:

The reason why is because the spinner has 12 slices and on that spinner there is 12 yellow slices meaning all the slices on the spinner are yellow.

This means it is a 100% chance to land on yellow but 100% aas a fraction is 100/100.

You can simplify 100/100 a hundred times to 99/99 to 98/98 you can keep doing it but it's lowest form is the lowest number besides zero and that is 1 so it's lowest form is 1 out of 1 or 1/1 or 100%.

Hope this helps have a great afternoon:)

Answer:

what-

Step-by-step explanation:

The function that's illustrated in the graph is function D.

First, you look at the left side of the graph. You can tell by the shape that it is an x³ function.

Also, the filled-in circle means inclusive. so we know that when x is less than or equal to a number.

The answer that illustrates the information explained is D.

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Answer:

B.

Step-by-step explanation:

An open circle means to exclude the point.

A closed circle means to include the point.

In this graph we see a part of a parabola with an open circle above. The parabola starts at x = 1, but does not include x = 1, and the x values of the parabola increase.

A parabola has an x squared in the equation.

The solution has to have an equation with an x² as its greatest exponent, and also must include x > 1.

The lower part of the graph is a third degree polynomial, so it must have an x cube term, x³. Also, the greatest x value for the x³ function is x = 1, but x = 1 is included. Then all x values tot he left of x = 1 are also included, so for the cubic polynomial, the domain (x values) must be x ≤ 1.

The answer is B.

Answer:

1a: 16

1b: 25

1c: 36

1d: 49

1e: 64

1f: 91

1g: 100

2a: 4

2b: 5

2c: 6

2d: 7

2e: 56 is not a perfect square

2f: 9

2g: 10

Part A

we have a vertical parabola open downward

Part B

Find out the y-intercept (value of y when the value of x=0)

looking at the graph

For x=0

the value of y=-4

therefore

the y-intercept is (0,-4)

Find out the x-intercepts (values of x when the value of y=0)

looking at the graph

For y=0

the value of x=2

therefore

the x-intercept is (2,0)

Part c

The equation of the axis of symmetry is equal to the x-coordinate of the vertex

The vertex is (2,0)

therefore

the axis of symmetry is x=2

Part d

the vertex is (2,0)

Answer:

Step-by-step explanation:

increase ≤ 55-43.5

increase ≤ 11.5

Elanor can increase her speed by 11.5 miles per hour.

Answer:

A

Step-by-step explanation:

With the help of percentage increase information, we conclude that,  Americans spent approximately $1,141.31 on summer vacation in 2014.

What is percenatge increase?

Percentage increase is a measure of how much a value has increased in comparison to the original value, expressed as a percentage.

To find what Americans spent in 2014, we need to use the percentage increase and the 2015 amount.

Let X be the amount spent in 2014.

We know that the increase from 2014 to 2015 is 3.4%, which can be expressed as:

3.4% = 0.034 (as a decimal)

We also know that the amount spent in 2015 is $1,180.

Using this information, we can set up an equation:

X + 0.034X = 1180

Simplifying the left side:

1.034X = 1180

Dividing both sides by 1.034:

X = 1141.31

So Americans spent approximately $1,141.31 on summer vacation in 2014.

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The expression equivalent to 9⁻⁵,4⁻⁵ is d. 1/36⁻⁵ from the options given in the stated question.

The expression 9⁻⁵,4 is equivalent to subtracting 5 from 9 and 4. This can be simplified as 9-5 = 4 and 4-5 = -1.

So, the expression is 4, -1

"d. 1/36⁻⁵" is not equivalent to 4, -1, but it is a mathematical expression that could be evaluated to a number. The 1/36 is the reciprocal of 36, which is a very small decimal value. And when we subtract 5 from that it will be even smaller negative decimal value.

Exponents are a shorthand way of expressing repeated multiplication of the same number. For example, the number "3 to the power of 2" is written as "3²" and means 3 x 3, or 9. The number "2 to the power of 3" is written as "2³" and means 2 x 2 x 2, or 8. The number being multiplied is called the "base" and the exponent is the number of times the base is multiplied by itself. In the example above, 3 is the base and 2 is the exponent in "3²", and 2 is the base and 3 is the exponent in "2³". In general, aᵇ means a multiplied by itself b times.

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When both quantities in a rate are fractions, the strategy to write the rate as a unit rate is to divide both the numerator and denominator of the rate by their greatest common factor (GCF) to simplify the fraction.

To write the rate as a unit rate:

1. Identify the rate, which is a fraction with a numerator and a denominator.

2. Find the greatest common factor (GCF) of the numerator and denominator.

3. Divide both the numerator and denominator by the GCF to simplify the fraction.

4. The resulting simplified fraction is the unit rate.

For example, if the rate is 3/6, the GCF of 3 and 6 is 3. Divide both the numerator and denominator by 3:

3/6 ÷ 3/3 = 1/2

So, the unit rate of 3/6 is 1/2.

By converting the rate to a unit rate, we make it easier to compare the rate for a single unit of one quantity to a single unit of the other quantity, making it more convenient for comparison and analysis.

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Hey there! :)

Please keep in mind that SOH-CAH-TOA is a life saver when it comes to trig! Where:

- SOH = Sin: opposite over hypotenuse

- CAH = Cos: adjacent over hypotenuse

- TOA = Tan: opposite over adjacent

The question is asking us to find the value of x given the following located in the image provided.

Because we've been given 51°, we'll use this angle to determine whether we're using Sin, Cos, or Tan.

We must now look at the other given variables in this triangle - specifically where they are located.

While looking at our given angle (51°), we see that x is located on the opposite side of 51° while 8 is located adjacent (also known as next) to 51°.

Because of this, we now know that we'll be using Tan (opposite over adjacent) to find the value of x because our given values are opposite and adjacent to 51°.

We now set up our equation to find the value of x:

tan (51°) = \(\frac{x}{8}\) ⇒ we set it up this way because x is opposite of 51° & 8 is adjacent to it.

Now, we must remove all fractions. We can do this by multiplying both sides by 8.

8 × tan (51°) = \(\frac{x}{8}\) × 8

Now, we simplify.

8 × tan (51°) = x

Now, we plug this into our calculator. Make sure your calculator is in degrees mode since we are using degrees, not radians.

8 × 1.2348 = x

Simplify.

x = 9.9

Therefore, angle x is 9.9

Hope this helped! :)

(Image attached for visual reference)

Answer:

C

Step-by-step explanation:

What I think