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ycow [4]
3 years ago
11

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) = 5(1.07)m

Part A: When the marine biologist concluded her study, the length of the fish was approximately 9.19 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 = 1 to m = 9, and what does it represent? (4 points)

ANSWER ALL PLEASE FOR 100 POINTS
Mathematics
2 answers:
inn [45]3 years ago
8 0

Answer:

The original function is f(m) = 5(1.07)^m, with the m as an exponent

part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m

plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9

part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent

part C) average rate of change from m = 1 to m = 9

f(9)−f(1)9−1

evaluate, and think about what that represents in terms of height and number of months

Ghella [55]3 years ago
4 0

Answer:

Was this right?

Step-by-step explanation:

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son4ous [18]
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Answer: (F)

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Step 1: Order of operations do parenthesis first: (25 x 8) = 200
Step 2: Multiply: 200 x 4 = 800
Answer: 800

14) I would plug each value in to see which works
D) 10x + 5y = 10(6) + 5(9) = 60 + 45 = 105

Answer is (D)

15) 2 x 12 - 8 (divided by) 2^2
Exponent first: 2 x 12 - 8 divided by 4
Multiplication/ Division: 2 x 12 = 24 and -8 divided by 4 = -2
Add/Subtract: 24 - 2 = 22

Answer: (I)


7 0
3 years ago
So this has to do with permutations and honestly I need an explanation on how I can figure these out.
AnnZ [28]
Well, the answer quite simple ....there are 4! ways to arrange these numbers...and as 4! = 4*3*2*1 = 24

hence 24 is the correct answer....


u can also remember it by theorem of multiplication as.....in first place (I.e. first code can be any no. out of 4,5,2&7 ....so 4*.....

as first place is acquired by a certain no. that leaves three no. to fill third place and when third place I'd occupied it leaves 2 numbers to fill second place and lastly only one no. to fill the last place .....so it's result will be like 4*3*2*1.



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6 0
3 years ago
Which of the following could be its equation?
mrs_skeptik [129]

So to solve problems like these you can work out each equation by substituting the x and y with the coords from the vertex (2,-4) and which ever one is true is the corresponding equation.

Lets try the first one

A) y = 2( x-2)^2-4    this would become

  -4 = 2(2-2)^2-4    we solve this and get

   -4 = 2(0)-4

   -4 = -4  

so it seems like A is the correct answer, of course we'd wanna check out the other answers just to be sure.

Lets try one and do C

C)  -2 = 2(-4-2)^2+2  

    -2 = 2(-8)^2+2

    -2 = 130

These aren't equal so this can't be our equation


So you can also do one more just to be super sure you have the right answer but I think A is the correct one :)



5 0
3 years ago
Shannon graphed the system of equations. 7x – 4y= –8 y = y equals StartFraction 3 over 4 EndFraction x minus 3.x – 3 A coordinat
katovenus [111]

Answer:

its (-5 -5.9)

Step-by-step explanation:

i got id right on edg

3 0
3 years ago
Solve for h. -18+7h>12+9h
Evgen [1.6K]

Answer:

h

Step-by-step explanation:

-18+7h>12+9h

Add 18 to both sides:

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Subtract 9h from both sides:

7h>9h+30

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Multiply both sides by -1 and flip the symbol:

\left(-2h\right)\left(-1\right)

2h

Divide both sides by 2:

\frac{2h}{2}

h

4 0
3 years ago
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