An artificial pond is stocked with an initial population of 2,500 fish. The engineers estimate a 24% decline in the fish population over time without restocking or effects of fishing. The following function models the population, where x is the number of years since the pond was made.

f(x) = 2,500(0.76)x



The mathematical range of the function is y > 0. Which statement describes how the reasonable range compares to the mathematical range?

The reasonable range has a minimum value of 2,500.
The reasonable range has a maximum value of 2,500.
The reasonable range has a reasonable minimum that cannot be determined.
The reasonable range has a reasonable maximum that cannot be determined.

(1) 2x + 3y = 31 y

(2) 2x + 3y = x + 7

(3) 31y = x + 7

(3) x = 31y - 7

(2) 2(31y - 7) + 3y = 31y - 7 + 7 ; 62y - 14 + 3y = 31y ; 34y = 14 ; y = 14/34 ; y = 7/17

(3) x = 31y - 7 ; x = 31*(7/17) - 7 ; x = (217 - 119)/17 = 98/17

x = 98/17 ≈ 5.76

y = 7/17 ≈ 0.41

Answer:

bdef

Step-by-step explanation:

Answer:

b= brains b= dad e= end f= fun

Step-by-step explanation:

Answer:

Veronica will have $310.04 at the end of first five years.

Step-by-step explanation:

Principal Amount P = $230

Interest Rate r = 6%

Time t = 5 years

Compounded monthly n = 12

We need to find the future amount (A)

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=230(1+\frac{0.06}{12})^{5*12}\\A=230(1+0.005)^{60}\\A=230(1.005)^{60}\\A=230(1.348)\\A=310.04[/tex]

So, Veronica will have $310.04 at the end of first five years.

Answer:

X = 15

Step-by-step explanation:

We move all terms to the left:

x+8+2x-(2x+13)=0

We add all the numbers together, and all the variables:

3x-(2x+13)+8=0

We get rid of parentheses:

3x-2x-13+8=0

We add all the numbers together, and all the variables:

x-5=0

We move all terms containing x to the left, all other terms to the right:

x=5

Answer:

The square of m reduced by 32

m^2 - 32

The product of 5 and r, and then increased by k

5r + k

A number x in tripled and then decreased by 10

3x - 10

8 reduced by the sum of x and y

8 - (x + y)

4 more than the product of 8 and n

8n + 4

6 less than the sum of 9 and d

(9 + d) - 6

Eighty less than four times a number

4x - 80

Yvonne (y) runs three times as fast as Xavier (x). What is an algebraic translation of this?  

y = 3x

n divided by 5

n/5

a takeaway 19

a - 19

Answer:

A)

Step-by-step explanation:

The correct expression which represents ''3 less than 5 times a number'' would be,

A) 5n - 3

Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that,

A mathematical expression is,

''3 less than 5 times a number''

Let us assume that,

A number = x

Hence, the expression to represent ''3 less than 5 times a number'' is,

⇒ (5 × n) - 3

⇒ 5n - 3

So, the correct option is,

A) 5n - 3

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Answer:

The coordinates of point Q are [tex]\mathbf{(4,2\frac{1}{2})}[/tex]

Step-by-step explanation:

The coordinates of point Q can be found looking at the graph

We need to find the value of x-coordinate and y-coordinate by looking at graph.

Check the value of x-coordinate that matches point Q similarly check the value of y-coordinate that matches point Q

Looking at the graph Point Q is at x=4 and y=2.5 or [tex]2\frac{1}{2}[/tex]

So,  The coordinates of point Q are [tex]\mathbf{(4,2\frac{1}{2})}[/tex]

Answer:

3 times x plus seven

Step-by-step explanation:

k

Answer:

81x^(2)-1

Step-by-step explanation:

Rewrite 81^(2) as (9x)^(2)

Rewrite 1 as 1^(2)

Since they are perfect squares , factor using the perfect squares formula

(9x + 1) (9x - 1)

Answer:

W=13 ft L=35 feet

Step-by-step explanation:

see detailed explanation below

Answer:

[tex]\approx 91^\circ[/tex]

Step-by-step explanation:

The given equation to represent the model for the relationship between [tex]x[/tex] and [tex]y[/tex].

[tex]y=6.88x-199[/tex]

[tex]x[/tex] represents the air temperature in degrees and

[tex]y[/tex] represents the number of visitors at a pool.

Also given that number of visitors at the pool on a particular day is 426.

To find:

The expected air temperature as per the number of visitors.

Solution:

Here, we are given a linear equation to represent the relation between two variables.

Value of one variable is given and we have to find the value of other variable.

i.e. we are given that:

[tex]y=426[/tex] and we have to find the value of [tex]x[/tex].

Let us put the value in the equation:

[tex]426=6.88x-199\\\Rightarrow 6.88x = 426 + 199\\\Rightarrow x = \dfrac{625}{6.88}\\\Rightarrow \bold{x \approx 91^\circ}[/tex]

The required result of the identity is [tex]x^{2} =-y^{2}-2x+16y-56[/tex].

To isolate the algebraic expression given below we need to simplify it and then make [tex]x^{2}[/tex] the subject of the equation,

For that we must know the identity [tex](a+b)^{2}=a^{2}+2ab+b^{2}[/tex].

We will break the given equation on the basis of the given identity.

Now, [tex](x+1)^{2} +(y-8)^{2}=9\\[/tex]

     ⇒[tex]x^{2} +2x+1+y^{2}-16y+64=9\\[/tex]

     ⇒ [tex]x^{2} =-y^{2}-2x+16y-56[/tex]

So, the required result of isolating the above given equation is as above.

The correct answer is option B.

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I'm not sure what you mean but I'll provide both.

5/8 + 3/4

11/8 or 1 3/8.

The common denominator of 5/8 and 3/4 is 8. 3/4 with a denominator of 8 would be 6/8.

5/8 + 6/8 = 11/8 or 1 3/8.

5/8 × 3/4

15/32.

Multiply the numerator by the numerator and the denominator by the denominator.

5 times 3 is 15 and 8 times 4 is 32.

So you get 15/32. This cannot be simplified.

Answer:irdk im aorry i wish i could help because im in the same boat.

Step-by-step explanation:

Answer:

The very last one is the correct answer.

Step-by-step explanation:

1 * 3 = 3

6 * 3 = 18

Do this for the other ones and you will get it right.

The wavelength measurement of the figure is,

⇒ 2 meter

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The figure is shown in image.

Since, We know that;

Wavelength is the distance between identical points in the adjacent cycles of a waveform signal propagated in space or along a wire.

Hence, We get;

The wavelength measurement of the figure is,

⇒ 3.5 - 0.5 meter

⇒ 2 meter

Thus, The wavelength measurement of the figure is,

⇒ 2 meter

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Answer:

y /< 5/2 x +5

Step-by-step explanation:

y is less than or equal to 5/2 x plus 5

since its a solid line and shaded below you would use less than or equal to

Answer:

C. x - y = 0

Step-by-step explanation:

First find write the equation in slope-intercept form, then rewrite to convert to standard form as Ax + By = C.

Equation in Slope-intercept form:

Find m and b

m = rise/run = 1/1 = 1

b = y-intercept = 0 (where the line intercepts the y-axis)

Substitute m = 1, and b = 0 into y = mx + b

Thus:

y = (1)(x) + 0

y = x

Rewrite to convert to standard form.

Thus, the equation in standard form would be:

x - y = 0

Answer:

Radius = 1 in.

Step-by-step explanation:

Let the radius be 'r'. Diameter = 2r

Perimeter of a semicircle = Circumference of semi circle + Diameter

[tex]=>\pi r + 2r = 5.14 in.[/tex] (Let the value of π be 3.14)

[tex]=> 3.14r + 2r = 5.14in.\\=>5.14r=5.14\\=>r =\frac{5.14}{5.14} =1in.[/tex]

Answer:

PLEASE BE CAREFUL NightmareMech14 IS A PREDATOR HE ASKS FOR VIDEOS OF GIRLS AND TRYS TO GET THEM TO EMAIL HIM DONT GIVE HIM ANY INFORMATION STAY SAFE COPY AND PASTE THIS EVERYWHERE

Step-by-step explanation:

Answer:

129

Step-by-step explanation:

the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129

Answer:

it is not a function

The slope-intercept equation of the given line is 3x + y = 25

Slope-intercept is one of the special forms of linear equations where we can find the slope-intercept of any point with its coordinates and its slope.

The line is passing through the point(x₁,y₁) = (7,4)

The slope of the line line(m) = -3

Slope-intercept equation

y-y₁ = m( x- x₁)

Where (x₁,y₁)  is (7,4) and Slope,m is -3

Let us substitute these values in the slope-intercept equation, It becomes

y - 4 = -3(x - 7)

y - 4 = -3x + 21

3x + y  = 21 + 4

3x + y = 25  

which is the slope-intercept equation of the points (7,4) and slope -3

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Answer:

Variance: 26.5

Standard Deviation: 5.1478150704935

Step-by-step explanation:

First, Add up all of the numbers: 6 + 7 + 11 + 12 + 19 = 55

Square the total, and then divided the number of items in the data set55 x 55 = 3025

3025 / 5 = 605

Take your set of original numbers from step 1, squared them individually this time, and added them all up:(6 x 6) + (7 x 7) + (11 x 11) + (12 x 12) + (19 x 19) = 711

Subtract the amount in step 2 from the amount in step 3:711 - 605 = 106

Subtract 1 from the number of items in my data set:5 - 1 = 4

Divide the number in step 4 by the number in step 5:106 / 4 = 26.5

Finally, take the square root of the number from step 6 (the variance),

√(26.5) = 5.1478150704935

Answer:

second option

Step-by-step explanation: