Question 1 (Essay Worth 10 points)
(03.03 MC)

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)

Answers

Answer 1

Answer: HEre finnaly this is right..

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?

0≤x≤8

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

the length at the start of the study

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?

6.86−5.047−3=1.82

it represents the average growth in length of the fish from the 3rd month to the 7th month of the study

Step-by-step explanation:


Related Questions

I really need help on this​

Answers

Answer:

OK so I don't know the answer but there is something called calculator soup and it has a million kinds of calculators lemme give u the link

Step-by-step explanation:

calculatorsoup.com

Which model represents the product 4×13?

Answers

Answer:

Your answer is the one in the bottom left corner.

Step-by-step explanation:

Hope this helps!

Answer: C

Step-by-step explanation:

One grain of this sand approximately weighs 7 x 10^-5 g. How many grains of sand are there in 6300 kg of sand ? Give your answer in standard form

Answers

Answer:

90 000 000 000 Grains

Step-by-step explanation:

one grain equal approximately 0.00007 grams.

convert 6300 kg into grams (multiply by 1000) and that equals 6 300 000g.

divide that by the weight of a single grain and you get the number of grains in that weight. So 6300000/0.00007=90 000 000 000 grains.

The number of grains of sand are there in 6300 kg of sand is 90,000,000.

What is scientific notation?

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].

Given that, one grain of this sand approximately weighs [tex]7\times10^{-5}[/tex] g.

6300 kg of sand

Number of grains = [tex]\frac{6300}{7\times10^{-5}}[/tex]

= [tex]900\times10^5[/tex]

= 90,000,000

Therefore, the number of grains of sand are there in 6300 kg of sand is 90,000,000.

To learn more about the Scientific notation visit:

https://brainly.com/question/18073768.

#SPJ2

In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.

Answers

[tex]\longmapsto[/tex]The value of "x" is 5.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

A trapezium ABCD in which AB || CD such that

AO = x - 1

CO = BO = x + 1

OD = x + 4

Now,

[tex]\rm In \: \triangle \: AOB \: and \: \triangle \: COD[/tex]

[tex]\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}[/tex]

[tex]\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}[/tex]

[tex]\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}[/tex]

[tex]\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO} [/tex]

[tex]\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4} [/tex]

[tex]\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2} [/tex]

[tex]\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x[/tex]

[tex]\rm \longmapsto\: 3x - 4 = 1 + 2x[/tex]

[tex]\rm \longmapsto\: 3x - 2x= 1 +4[/tex]

[tex]\bf\longmapsto \:x = 5[/tex]

WILL GIVE BRAINLIEST

solve for x : -4 = (2/3)x

show steps please

Answers

Answer:  x = -6

Step-by-step explanation:

To solve for x, we have to find a way to make x the subject of the equation (get x on one side and everything else on the other side)

since    -4 = (2/3)x     [mutiply both sides by 3]

⇒    -4 × 3 = 2x     [divide both sides by 2]

⇒   (-12/2) = x      [simplify by dividing -12 by 2]

∴            x = -6

Answer:

X = 6

Step-by-step explanation:

2/3 x 6/1 = 4

2 x 6 = 12

3 x 1 = 3

12/3 = 4

12 divided by 3 is 4

The answer is 6 , x = 6

Put the following equation of a line into slope-intercept form, simplifying all
fractions
2x - y = 2

Answers

Answer: y = 2x - 2

Explanation: The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Subtract 2x from both sides of the equation.
-y = 2 - 2x
Multiply each term in -y = 2 - 2x by -1
(-y) . -1 = 2 . -1 + (-2x) . -1
Multiply (-y) . -1
Multiply -1 by -1
Multiply y by 1
y = 2 . -1 + (-2x) . -1
Simplify each term
Multiply 2 by -1
y = -2 + (-2x) . -1
Multiply -1 by -2
y = -2 + 2x
Reorder -2 and 2x
y = 2x - 2

Miguel pays $18 every month for his online guitar lessons. At this rate, how much will Miguel pay for 1 year of guitar lessons?

Answers

Answer:$216

Step-by-step explanation:

you do 18 * 12 because he gets 18 every month and there are 12 months in a year

I really need someone to help me out!

Answers

Answer:

y = 6x-13

Step-by-step explanation:

Given: y+1=6(x-2)

Distribute 6: y +1 = 6x -12

Isolate y: y = 6x -13 (subtracted 1 from both sides)

This is now in the form y = mx +b

Hope this helps!

y+1=6x+12
i hope this helped :)

If x=√7/5 and 5/x=p√7 find p
Plz tell fast
I will mark as branliest

Thank you

Answers

Replace x with √7/5

5/√7/5 = p √7

Divide both sides by √7

P = 5/√7/5 /√7

P = 25/7

Answer: p = 25/7

hi Help pls will mark as brainlist!!!!!!!!!​

Answers

Answer:

C

Step-by-step explanation:

38.92 x 10^4 = 3892000

Answer:

(d) is ans.

Step-by-step explanation:

brcause point will move four digit the anawer will be =389.2x10^4

A certain star is 2.6×102 light years from the Earth. One light year is about 5.9×1012 miles. How far from the earth​ (in miles) is the​ star?



WILL GIVE BRAINLIEST

Answers

Answer:

2.5 x [tex]10^{15}[/tex] miles

Answer:

265.2 and 5970.8

Step-by-step explanation:

Point A is at (2,-8) and point is at (-4.7).
Find the coordinates of point B on AC such that the ratio of AB to BC is 2:1
B=0

Answers

Answer:

bro use gauth mathhhhhhh

There are 20 marbles in a bag. 16 are red. The remaining are white. What is the probability of selecting a red marble

Answers

Answer:

You would have a 80% chance.

Step-by-step explanation:

16 out of 20 is equal to 80%. ( I can't really explain how I got 80% -_-. ) Let me know if I'm wrong.

The latest thrill ride at a popular theme park takes roller coaster fans on an exciting ride. In the first 20 seconds, it carries its passengers up a 100-meter hill, plunges them down 72 meters, and quickly takes them back up a 48-meter rise. How much higher or lower from the start of the ride are they after these 20 seconds?

HELP ME PLEASE!!!!

Answers

100-meter rise, 72-meter descent followed by a 48-meter rise

100-72+48 = 76

after these 20 seconds, they are 76 meters higher than at the start of the ride

Marci drove 175 miles. The trip took 3 1/2 hours. What was her average speed in mph

Answers

Answer:

50 miles per hour good luck!!

Step-by-step explanation:

basically all you have to do is divide 175 by 3 1/2

10 in
3 in
8 in
4 in
Perimeter:
Area:

Answers

Step-by-step explanation:

The area = (8 × 7) + (3 × 4) = 56 + 12 = 68

The perimeter = 10 + 4 + 3 + 4 + 7 + 8 = 36

please give me a brainliest answer

A line passes through the points (-6, -8) and (-3,-7).

What is the equation of the line in Slope-Intercept Form?

A)y=1/3x-6

B) y=3x-6

C)y=1/3x+6

D) y=3x+6

Answers

Answer:    A)  y =  ¹/₃ x - 6

Step-by-step explanation:  

        For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points, (-6, -8) and (-3,-7), from which we can find the slope and later the equation of the line.

 

Finding the Slope  

The slope of the line (m) = (-8 - (-7)) ÷ (-6 - (-3))    

                                          =  -1 ÷  (-3)  

                                          =   ¹/₃  

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                 ⇒  y - (-7) =   ¹/₃ (x - (-3))  

  we could also transform this into the slope-intercept form ( y = mx + c)

                                   since  y + 7 =   ¹/₃ (x + 3)

                                         ⇒     y + 7 =  ¹/₃ x + 1

                                                                                  ∴  y =  ¹/₃ x - 6

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Write a compound inequality for each problem. Graph the solutions

An advertisement for a part-time job says that the hourly rate is between $6.40 and $9.80 inclusive, depending on the experience

Answers

answer:

16.20

step by step

For any two real numbers, a and b one and only one of these relations is true:
1. a = b
2. a < b
3. a > b

Answers

Answer:

For real numbers according to the Law of Trichotomy,

if a = b then a will never be greater than b and a will never be less than a.

if a<b then a will never be equal to b and a will never be greater than b.

if a>b then a will never be less than b and a will never be equal to b.

And vice versa to b as well.

That means only one property will hold for given two numbers.

For any two real numbers, a and b ,only one property will hold for given two numbers.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

For any two real numbers, a and b

For real numbers according to the Law of Trichotomy,

if a = b then a will never be greater than b and a will never be less than a.

if a<b then a will never be equal to b and a will never be greater than b.

if a>b then a will never be less than b and a will never be equal to b.

And vice versa to b as well.

That means only one property will hold for given two numbers.

To learn more on number click:

brainly.com/question/17429689

#SPJ2

Find the GCF
of 10 and 50 using
the distributive
property.
(10+50)
BRAINLIEST

Answers

Answer:

10

Step-by-step explanation:

Answer:

I thin the asnweris 60

Step-by-step explanation:

Let me know if i'm right I don't know if I followed all the steps

You are running a fuel economy study. One of the cars you find is blue. It can travel 30 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 27 1/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on 1 gallon of​ gasoline?

Answers

You are running a fuel economy study. One of the cars you find is blue. It can travel 30 and one half miles30 1 2 miles on 1 and one fourth gallons1 1 4 gallons of gasoline. Another car is red. It can travel 25 and three fifths miles25 3 5 miles on four fifths gallon 4 5 gallon of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on 1 gallon1 gallon of​ gasoline?

 

Blue car: 30.5 / 1.25 =24.4 miles per gallon

Red car: 25.6/0.80   =32 miles per gallon

You can easily see that the Red car travel farther on 1 gallon of gasoline.

Answer:

The unit rate for the blue car is 24 2/5 and The unit rate for the red car is 34

Take these points. 25 of them. Will Thanks give brainiest and 5 star

Answers

Answer:

What do you need help with? Please go easy on me. I'm just a kid.

Step-by-step explanation:

What is the sum of V-2 and V-18?

Answers

Answer:

[tex] \sqrt{ - 2} + \sqrt{ - 18} \\ = \sqrt{2} i + \sqrt{ - 2} \sqrt{9} \\ = \sqrt{2} i + 3\sqrt{2} i \\ = 4\sqrt{2} i[/tex]

What is the x intercept of this quadratic/parabola?

Answers

Answer:

-3, 1

Step-by-step explanation:

There are actually 2 x-intercepts of the parabola. You can find them simply by looking along the x-axis and seeing where the lines of the parabola touch the axis, so -3 and 1.

Hope this helps :)

Answer:

1 and  -3

Step-by-step explanation:

At x-intercept y = 0

So, parabola intersect x-axis at two places (1 , 0) and (-3 , 0)

X-intercepts are 1 and -3

suppose the cost of a speeding ticket where the speed is 65 miles per hour is:

Answers

Answer:

A

Step-by-step explanation:

which number line and expression show how to find the distance from -4 to -1

Answers

Answer: A

Step-by-step explanation: you can see the two dots representing -1 and -4 the line then connects them showing the distance

Which expression correctly represents 10 less than a number cubed?

Answers

(x^3)-10

Sorry I can’t see pic

Brainliest is appreciated

Answer:

a

Step-by-step explanation:

[tex]c^{3} - 10[/tex]

Pls help me with this one

Answers

Answer:

It's not proportional

Step-by-step explanation:

The first 2 days are proportional because, they travel at an increment of 60 miles an hour.

But, on the third day, it is not proportional because they travel at an increment of 90 miles an hour.

360 / 4 = 90

120 / 2 = 60

60 / 1 = 60

Answer:

The answer would be yes and no!! But, it would be no!

Step-by-step Explanation:

Yes: On Monday and Tuesday, those would be proportional because they are just counting by 60´s. 60 plus 60 would give you 120.

No: On Wednesday, this ¨person¨ traveled 360 miles in 3 hours. Now, you aren´t counting by 60´s anymore. Even though you started out counting by the 60´s, doesn´t mean you will finish like that.

60´s:

1 hour = 60 mi

2 hours = 120 mi

3 hours should be = 180 miles, not 360 Because:

360 mi would be equal to 6 hours. Do you see where I´m going with this?

Hope that helps you so you can put it in a mathematical way. Have a great day!!

If you get it wrong, plz notify me any way possible...... :)

find the sum in smiplest form 6\\9 plus 6\9

Answers

Answer:

6/9+6/9

find the LCM, which is 9

9÷9=1, 1×6=6

since it is the same thing

6+6/9 = 12/9

= 1 whole number 3/9 or 1 whole number 1/2

Need help asap pls pls pls

Answers

Answer:

I would say the answer is A) y = x + 3

Step-by-step explanation:

Reason is, if you replace x with the different numbers listed under x and add 3 to them, they would equal the corresponding numbers listed under y.

For example:

x-value

(5) = (2) + 3

y-value

Hope this helps :)

A. Y=x+3 is the correct answer
Other Questions
in response to tariffs south carolina tried to ____ the union ?plsssss hurry What are the the values of x and y that satisfy this equation?( x + yi ) + ( 4 + 9i ) = 9 - 4iA. x = 9 and y = -4B. x = 5 and y = 13C. x = 5 and y = -13D. x = -9 and y = 4Answer: C. x = 5 and y = -13I hope this helps. why does the family system theory can explain why members of a family behave the way they do in a given situationpls explain Place the following steps in order to describe how to solve the following equation: 2(2x+3)-2=52(2x+3)2=5 k-12) please help if you know it Nathan usually drinks 33 ounces of water per day. He read that he should drink 63 ounces of water per day. If he starts drinking 63 ounces, what is the percent increase? Round to the nearest percent. what is the increase in percent(not over 100) PLEASE ANSWER RIGHT NOW BRAINLIEST POINTS ETC highlight main approaches that could be used to investigate the waterer Quality. You rotate triangle DEF with coordinates D(-2, 2), E (1,5), and F(4, -1) 90 counterclockwise about the origin. Winston ate 180 hot dogs in 9 hours. At that rate, how many hot dogswould he eat in 12 minutes? a sloth travels about 7 feet every minute generate the set of ordered pair for the ratio relationship between the total distance traveled y and the number of minutes x for a total of 1,2,3 and 4 minutes then graph the relationship on the coordinate plane and describe the pattern in the graph An essay on world peace guys pls help me!!!!!!! hello jin this metingon Gogle metrgh-vcdc-uyq The theory of plate tectonics evolved from previous theories and concepts put forward by several scientists before its conception. Which theories and concepts are part of this evolution? I. continental drift III. convection current II. seafloor spreading IV. internal structure of Earth Nicks house is between his school and the library, which are one mile apart on the same street. A mile is 5280 feet. After school, Nick walks 3195 feet to his house. How many more feet he need to walk to get to the library? what is this question Rose and Liz both belong to a club of 20 members. A committee of 4 is to be selected atrandom from the 20 members. Find the probability that both Rose and Liz will beselected the grimaldi family has ruled which european country for more than 700 years? Any human drawing suggestions