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)

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

        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

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

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

Answer:

bro use gauth mathhhhhhh

[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

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]

Answer:

A

Step-by-step explanation:

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!

answer:

16.20

step by step

Answer:

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

Answer:

265.2 and 5970.8

Step-by-step explanation:

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

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

Answer:$216

Step-by-step explanation:

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

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

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

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

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.

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

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...... :)

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.

Answer:

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

Step-by-step explanation:

Answer: A

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

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.

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

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

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

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]

Answer:

50 miles per hour good luck!!

Step-by-step explanation:

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

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 :)

Answer:

Your answer is the one in the bottom left corner.

Step-by-step explanation:

Hope this helps!

Answer: C

Step-by-step explanation:

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

Answer:

a

Step-by-step explanation:

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