Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish in a certain bay after the first year.

Part A: Write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. Show all necessary math work. (4 points)

Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work. (3 points)

Part C: If scientists remove 1,200 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work. (3 points)

Hey there!

-4x^-2 + 3y^0

= -4(2)^-2 + 3(5)^0

= -4(1/4) + 3(5)^0

= -1 + 3(5^0)

= -1 + 3(1)

= -1 + 3

= 2

Therefore, the answer should be: 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

14

Step-by-step explanation:

4^2=16

16/2=8

8+6=14

Answer:

[tex]14[/tex]

Step-by-step explanation:

This equation would be easier to do if it was: [tex]6+\frac{4^2}{2}[/tex]

So first you have to cancel out: [tex]\frac{4^2}{2}[/tex] so that would become [tex]6+8[/tex]

Finally [tex]6+8=14[/tex]

There you go brainliest pls

Answer:

-4 to 0 (both -4 and 0 are included in the range because of the dots)

Answer:

Step-by-step explanation:

-5a - 6b + 25ab

add like terms

Answer:

Step-by-step explanation:

"end behavior" means what the is graph doing if you keep going off the page.

The symbol "x approaches negative infinity" is going off the page to the left. Both graphs are going up, up, up as you look at the x's going off the page to the left. See image.The last point of the g(x) on the table, when it's on the graph, you can see that curve hit bottom and turned up. So g(x) is going up, up, up as you look at all the x's going to the right. However the original graph, the green graph f(x), well, it's kind of flat, but it IS going down, down, down as you go off the page to the right.

So the end behavior is the same as x approaches negative infinity and different as x approaches infinity.

Answer:

425

Step-by-step explanation:

225/24 then multiply the answer by 40

Answer

A, B, E.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

-19.2

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

86.55%

Step-by-step explanation:

Basically what you would do is take each percentage and turn it into decimal percent. after that, you multiply it with the respective numbers, like:

90 × 0.20= 18

95 × 0.10= 9.5

85 × 0.25= 21.25

84 × 0.45= 37.8

Adding these numbers together, you could get 86.55, or 86.55%.

Answer: 60

Step-by-step explanation:

Answer:

102 degrees below horizontal

Step-by-step explanation:

if the first angle is 78 degrees, the angle on the other side of the line is 102 degrees because a straight line is 180 degrees, and a box would have a total of 360 degrees in it

because the same line passes through both horizontal lines, the angle 3 is equal to the opposite angle to the 78

180-78 = 102

another way to look at it is that the 78 degrees is the same angle directly above angle 3 because the horizontal lines are parallel, and if it is 78 degrees, that makes the angle below it (angle 3) 102 degrees since a straight line must add to 180 degrees

Answer:

102

Step-by-step explanation:

Answer:

total cost = 10 • months + 100

Step-by-step explanation:

The $100 application fee is extra, only needed to pay once. The $10 per month is multiplication. $10 • the number of months.

Answer:

The distance from the flagpole to the tree is 27 ft

Step-by-step explanation:

Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.

En esta pregunta debemos determinar el dinero devengado por un período de 15 días a partir de una tasa diaria constante. Esa cantidad es igual al producto de la tasa diaria constante, en pesos por día, y el número de días trabajados, en días:

[tex]x = 589\,\frac{\$}{dia}\times 15\,dias[/tex]

[tex]x = 8835\,\$[/tex]

Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.

Para aprender más sobre álgebra y aritmética, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/953809

Answer:

Proper Fractions.

Step-by-step explanation:

These are Proper Fractions because the numerator (1 and 5) is lower than the denominator (5 and 10).

Write 72.18 as=

[tex]Write 72.18 as = \frac {72.18}{1} [/tex]

[tex] \frac{78.18 \times 100}{1 \times 100} = \frac{7218}{100} [/tex]

[tex] \frac{3609}{50} [/tex]

Answer:

y = 1/2x - 8

Step-by-step explanation:

Assuming that they want the equation in slope intercept form we would use the following form: y = mx + b

where m = slope and b = y intercept.

We are given the slope and a point on the line. We need to find the y intercept. We can do this by plugging in what we are given and then solving for b.

y = mx + b

slope (m) = 1/2

x value of given point (x) = 8

y value of given point (y) = -4

- plug in these values -

-4 = (1/2)(8) + b

now solve for b

multiply 1/2 and 8

-4 = 4 + b

subtract 4 from both sides

-8 = b

So the y intercept (b) is -8

We now plug in the slope and y intercept into slope intercept form

y = mx + b

m = 1/2 and b = -8

y = 1/2x - 8 is the equation of the line that passes through the point (8,-4) and has a slope of 1/2

For more validation refer to the attached image.

[tex]\text{Given that,}\\\\(x_1,y_1) = (8,-4), ~~ \text{and slope, m} = \dfrac 12\\\\\text{Equation with given points,}\\\\y -y_1 = m(x-x_1)\\\\\implies y -(-4) = \dfrac 12 (x-8)\\\\\implies y+4 = \dfrac 12 x - 4\\\\\implies y= \dfrac 12x -4 -4 \\\\\implies y = \dfrac 12 x -8\\\\\implies y = \dfrac{x-16}2\\\\\implies 2y = x -16\\\\\implies x -2y = 16[/tex]

Answer:400

Step-by-step explanation:

150 / 3 = 50 so 50 x 8= 400

Answer:

Option 4: (0, 5]

Step-by-step explanation:

Given the inequality notation, 0 < x ≤ 5 :

We know that using the open- and closed-parenthesis, "(  )" are used to express interval notation for which the endpoints are not included as part of the solution.  Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than (>) or greater than (<), as you do not include the endpoints when these inequality symbols are used.

In contrast, the open- and closed-brackets, "[     ]" are used to express interval notation for which the endpoints are included as part of the solution.  Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than or equal to (≤), and greater than or equal to (≥).

In the inequality notation, 0 < x ≤ 5, the endpoints are 0 and 5.  

The inequality symbol between 0 and x is "<," which means that we must use an open parenthesis, " ( " for the endpoint, 0.

While the inequality symbol between x and 5 is "≤," which means that we must use an closed bracket, " ] " for the endpoint, 5.

Therefore, the correct answer is Option 4: (0, 5].

[tex]\text{Given that,}\\\\(x+2y)^2 - (x-2y)^2\\\\=(x+2y +x -2y)(x+2y -x+2y)~~~~;[a^2 - b^2 = (a+b)(a-b)]\\\\=(2x)(4y)\\\\=8xy[/tex]

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Answer:

The Y-Int. is 60

Step-by-step explanation:

0 marks the x axis, which leads me to believe 60 is the Y-int so (0,60)

Answer:

i think E.942 cm³ is answer

Volume = πr²h

so

3.14×5×5×12

= 942 cm²

Answer:

x=0 is the smallest integer

Step-by-step explanation:

Answer:

7 miles / hour

Step-by-step explanation:

I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.

Givens

d (distance ) = 3.5 miles

t (time) = 1/2 hour

r (rate) = ?

Formula

r = d/t

Solution

The easiest way to do this is to change the fractions to decimals.

t = 1/2 = 0.5 hours

r = 3.5 / 0.5

r = 7 miles per hour.

Answer:

The first option

Step-by-step explanation:

We are doing height above shadow height. Since the telephone poll is 40 feet high with a 32 feet shadow, it is 40/32. We know the sign casts a 12 1/2 shadow, so this will be our denominator. h is our unknown, so we will have h / 12 and a half as our second fraction for our ratio.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average acceleration = (change in velocity)/(time it takes). Since the car's change in velocity is zero, its acceleration is zero.

Answer:

The first graph.

Step-by-step explanation:

You can see on the first graph that all of the y values and x values add up with what you need.