Ask question

Ask question

All categories

valentinak56 [21]

3 years ago

15

PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 50 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE RE

PORTED
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)

1 answer:

saw5 [17]3 years ago

5 0

Answer: This is very little points for this but here we go...

A marine biologist is studying the growth of a particular species of fish

: When the marine biologist concluded her study, the length of the fish was approximately 9.19 cm

To Find : reasonable domain to plot the growth function

What does the y-intercept of the graph of the function f(m) represent?

average rate of change of the function f(m) from m = 1 to m = 9,

Solution:

m = 0

=> f(0) = 5(1.07)⁰ = 5 cm

the length of the fish was approximately 9.19 cm.

=>

=>

=> m = 9

Domain = [0 , 9 ]

reasonable domain to plot the growth function = [0 , 9 ]

y-intercept of the graph of the function f(m) represent represent initial length of fish = 5 cm

average rate of change of the function f(m) from m = 1 to m = 9

m = 1 => f(1) = 5(1.07) = 5.35 cm

m = 9 => f(9) = 5(1.07)⁹ = 9.19 cm

Change in 9 - 1 = 8 months = 9.19 - 5.35 = 3.84 cm

average rate of change of the function f(m) from m = 1 to m = 9,

= (3.84/8)

= 0.48 cm per month

Step-by-step explanation:

You might be interested in

Find the x- and y-intercept of the line. -7/5x - 4y = 7 −75x − 4y = 7

Alexandra [31]

To find the x-intercept, substitute in <span>00</span> for <span>yy</span> and solve for <span>xx</span>.<span><span><span>(0)</span>=7x−5</span><span><span>(0)</span>=7x-5</span></span>Rewrite the equation as <span><span>7x−5=0</span><span>7x-5=0</span></span>.<span><span>7x−5=0</span><span>7x-5=0</span></span>Since <span><span>−5</span><span>-5</span></span> does not contain the variable to solve for, move it to the right side of the equation by adding <span>55</span> to both sides.<span><span>7x=5</span><span>7x=5</span></span>Divide each term by <span>77</span> and simplify.
<span><span>x=<span>57</span></span><span>x=<span>57</span></span></span>To find the y-intercept, substitute in <span>00</span> for <span>xx</span> and solve for <span>yy</span>.<span><span>y=7<span>(0)</span>−5</span><span>y=7<span>(0)</span>-5</span></span>Solve the equation.
<span><span>y=−5</span><span>y=-5</span></span>These are the <span>xx</span> and <span>yy</span> intercepts of the equation <span><span>y=7x−5</span><span>y=7x-5</span></span>.x-intercept: <span><span>(<span>57</span>,0)</span><span>(<span>57</span>,0)</span></span>y-intercept: <span>(0,−5<span>)</span></span>

8 0

3 years ago

Read 2 more answers

Choose the polynomial that is written in standard form.

Annette [7]

When written in standard form, you have to order each term from the highest degree to the lowest degree.

b. x^4y² + 4x²y + 8x is your answer.

hope this helps, God bless!

4 0

3 years ago

1 over 5 plus 2 over 5

g100num [7]

Answer:

$\frac{3}{5}$

Step-by-step explanation:

Before you add 2 fractions, the denominator needs to be the same. If they are the same, which they are, then add the 2 numerators.

1 plus 2 equals 3.

So the answer is 3 over 5.

8 0

4 years ago

Line x has a slope of -1/2. Line y is perpendicular to line x. What is the slope of line y?

eduard

Answer:

2

Step-by-step explanation:

perpendicular means the opposite inverse of a slope. So -1/2 will become 2/1 or simply 2.

opposite means the sign will change, negative becomes positive and positive becomes negative.

inverse flip numerator and denominator.

7 0

3 years ago

Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x

Alekssandra [29.7K]

Answer:

x ≈ 5.89

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

<u>Algebra II</u>

Exponential to Logarithmic: $\displaystyle b^m=x \rightarrow log_bx=m$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

0.77 = log(x)

<u>Step 2: Solve for </u><em><u>x</u></em>

[Equality Property] Raise both sides to the 10th power: $\displaysytle 10^{0.77} = 10^{logx}$
Simplify: $\displaysytle x = 10^{0.77}$
Evaluate: $\displaysytle x = 5.88844$

8 0

3 years ago