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alexdok [17]
2 years ago
14

PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE R

EPORTED
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:

f(m) = 4(1.08)m

Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)

Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)
Mathematics
1 answer:
Reika [66]2 years ago
3 0

9514 1404 393

Answer:

  • 0 ≤ m ≤ 7
  • 0.4541 cm/month; average rate of growth over last 4 months of study

Step-by-step explanation:

<u>Part A</u>:

The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...

  0 ≤ m ≤ 7

__

<u>Part B</u>:

The y-intercept is the value when m=0. It is the length of the fish at the start of the study.

__

<u>Part C</u>:

The average rate of change on the interval [3, 7] is given by ...

  (f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)

   ≈ 0.4541 cm/month

This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.

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Assuming that the ship travels at a constant speed, what is its speed?
Ilia_Sergeevich [38]

Answer: S= d/p

Step-by-step explanation: Take the distance (d) divided by time (t) and you should have your answer

4 0
2 years ago
Two rectangles are similar. The ratio of the length of rectangle A to the length of rectangle B is 1:4. If the length of rectang
snow_lady [41]

Answer:

Hey have you tried on your own to make sure you understand it?

Step-by-step explanation:

6 0
2 years ago
What is the radical form of the expression (2x^4y^5)^3/8
s344n2d4d5 [400]

We are given expression: (2x^4y^5)^{3/8}

Let us distribute 3/8 over exponents in parenthesis, we get

(2^{3/8}x^{4\times 3/8}y^{5\times 3/8}) = (2^{3/8}x^{12/8}y^{15/8})

= (2^{3/8}x^{1\frac{4}{8}} y^{1\frac{7}{8}} )

We can get x and y out of the radical because, we get whlole number 1 for x and y exponents for the mixed fractions.

So, we could write it as.

(2^{3/8}x^{1\frac{4}{8}} y^{1\frac{7}{8}} ) = xy(2^{\frac{3}{8} }x^{\frac{4}{8}} y^{\frac{7}{8}} )

Now, we could write inside expression of parenthesis in radical form.

xy\sqrt[8]{2x^{3}x^4y^7}

8 0
3 years ago
The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function
kotegsom [21]

Answer:

y=-\frac{1}{3} (x-5)^2+3

Step-by-step explanation:

We are given the following;

  • Vertex of a quadratic function = (5,3)
  • A point where the function passes through (-1, -9)

Required to determine the equation of the function;

  • We need to know the vertex form of a quadratic function is;

y=a(x-h)^2+k, where h and k correspond to the vertex (h,k)

  • Therefore, we can replace the variables h and k of the vertex in the equation;

That is;

y=a(x-5)^2+3

Then we use the equation and the point given to solve for a

x = -1 and y = -9

We get;

-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}

Substituting the values of a, h and k in the equation, we get;

y=-\frac{1}{3} (x-5)^2+3

Thus, the equation of the function in the vertex form is y=-\frac{1}{3} (x-5)^2+3

8 0
2 years ago
TILAPIA FISH!!!!!!!!!
frez [133]

Answer:

yes.

................................

5 0
2 years ago
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