A certain fish grows so that after t years of life its length is given by L(t) = 9 − 1/5t inches. Calculate the average rate of growth over the first year of life.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the length of a fish after t years modeled by the equation

L(t) = 9 − 1/5t

The average rate of growth is expressed as;

dL/dt = -1/5 (differential of a constant is zero)

Hence the average rate of growth  over the first year of life is -1/5 in/year


Related Questions

Solve the system of equations by any method.



5x+9y =16
x+2y =4

Answers

Answer:

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

[tex]\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.[/tex]

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

[tex]-5\times(x+2y=4) \rightarrow -5x - 10y = -20[/tex]

Therefore, our system now becomes:

[tex]\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.[/tex]

Now, we can add these two equations together and solve for y.

[tex]\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4[/tex]

Now, we can substitute our value for y into one of the equations and solve for x.

[tex]x+2(4)=4\\\\x + 8 = 4\\\\x = -4[/tex]

Therefore, our final solution is (-4, 4).

A certain brand of coffee comes in two sizes. An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Round your answers to the nearest cent.

Answers

Answer:

unit price for 11.3-ounce package = $0.25

unit price for 27.8-ounce package =  $0.23

27.8-ounce package is the better buy

Step-by-step explanation:

An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.

a) 11.3-ounce package

11.3 ounces = $2.88

1 ounce = $2.88 ÷ 11.3

1 ounce = $0.25

b) 27.8-ounce package

27.8 ounces = $6.48

1 ounce = $6.48 ÷ 27.8

1 ounce = $0.23

$0.25 > $0.23

There is 2 parts. but , help​

Answers

Answer: B

Step-by-step explanation:

Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 32?

Answers

Yep nice one for you guys it’s ok i love

Answer:

g(x)=m(x−2)+b+3

How do you do this question?

Answers

Answer:

-1

Step-by-step explanation:

dy/dt = y² − 1 = (y + 1) (y − 1)

At t = 0, y = 0, and dy/dt = -1.  Therefore, y is initially decreasing.

As y decreases, dy/dt increases.  When y = -1, dy/dt = 0 and changes signs from negative to positive.

As y increases above -1, dy/dt again becomes negative.  So y continues to approach -1 as t approaches infinity.

Anthony is laying concrete for a driveway. The driveway is to be 24 feet long by 11 feet wide by 8 inches deep. Answer parts (a) through (c)

(a) Determine the volume of concrete needed in cubic feet.

(b) If 1 cubic yard = 27 cubic feet, how many cubic yards of concrete are needed?

(c) If the concrete costs $36 per cubic yard, what is the cost of the concrete? Concrete must be purchased in whole cubic yards​

Answers

Answer:

a) The volume of concrete needed in cubic feet is 2,112. b) The number of cubic yards of concrete needed in cubic yards is about 79. c) The cost of the concrete using cubic yards is $2,844.

Step-by-step explanation:

a) The formula of the volume is l*w*d. 24 * 11 * 8 = 264 * 8 = 2,112.

b) The way to find this is that you take 2,112 and divide it by 27. Since the answer is 78.2 repeating, you round it up to 79 so it will fill up all of the concrete.

c) Since you need 79 cubic yards of concrete, you do 79 multiplied by $36 to get the total cost of $2,844.

What is the slope of the line?answer

Answers

Answer:

1

Step-by-step explanation:

the rise is 1

and the walk is 1

Equa
Problem 1
3z - 4 = 52 - 12

Answers

Answer:

z=44/3

Step-by-step

Subtract the numbers 52-12=40

3z-4=40

Add 4 to both sides

3z-4+4=40+4

SImplify

3z=44

Divide both sides by 3

3z/3 = 44/3

z=44/3 or decimal form= 14.66

Enter the range of values for x:​

Answers

Answer:

¿¿¿???

Step-by-step explanation:

first what is the question no only x = i didn´t see your computer

Answer:

yeah i don't see anything

Step-by-step explanation:

On a blueprint, the diagram of a building has a height of 23 cm.
The height of the building is x times the height of the diagram.
Which equation represents the height, h, of the building?
A h = 23+x
B X = 23=h
C h = 23x
D
X = 23h

Answers

Answer:

C h = 23x

Step-by-step explanation:

The height is h, so we want h = something.

The blueprint height is 23 cm.

The real height is x times 23 cm, so it is 23x.

h = 23x

Answer: C h = 23x

How do you divide decimals 10.305 divided by2.5?

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]10.305 \div 2.5 = [/tex]

[tex]10.305 \div \frac{10}{4} = \\ [/tex]

[tex]10.305 \times \frac{4}{10} = \\ [/tex]

[tex] \frac{10.305 \times 4}{10} = \\ [/tex]

[tex] \frac{41.220}{10} = \\ [/tex]

[tex]4.1220[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Mike can stitch 7 shirts in 42 hours how long will it take to stitch 1 shirt

Answers

Answer:

42/7 is 6 so it would take Mike 6 hours to stich 1 shirt please give brainliest

Step-by-step explanation:

I suck at math so can you help with this is a test so Yh

Answers

The correct answer is option D:)

Read the sentence from Nikita's analysis of "The Children of the Drug Wars." Nazario feels that refugee kids totally shouldn't be sent back to the same dangerous things they've left. This sentence should be revised to make it more accurate. formal. logical. objective.

Answers

Answer:

The answer is B formal

Answer:

B on edge 2021

Step-by-step explanation:

the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false

Answers

Answer: True

Step-by-step explanation:

First find the product of 0.43 and 5.024 so see if it is greater than 0.43.

 0.43 * 5.024 = 2.16032  

2.16032 is indeed greater than 0.43  ,  2.16032 > 0.43

And 0.43 is indeed less than 5.024 , 0.43 < 5.024  

Meaning that this state is true.

Answer:

True

Step-by-step explanation:

Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that

0.43 * 5.024 = 2.16032

Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024

...

...

...

That checks out.

True

Brainliest is much appreciated!

Many professional schools require applicants to take a standardized test.
Suppose that 1000 students take such a test. Several weeks after the test,
Pete receives his score report: he got a 63, which placed him at the 73rd
percentile. This means that... *
Pete scored less than about 73% of the test takers.
Pete scored less than about 63% of the test takers.
Pete scored more than about 63% of the test takers,
Pete scored more than about 73% of the test takers,
Pete's score was below the median.

Answers

Answer:

if pete placed in the 73rd percentile, this means that his score was better than 73% of the other test takers, so the fourth option: he scored more than about 73% of the test takers

Step-by-step explanation:

hope this helps :)

The meaning is Pete scored more than about 73% of the test takers.

What is data?

Data is information that has been translated into a form that is efficient for movement or processing.

Given situation:

Pete receives his score report: he got a 63, which placed him at the 73rd

percentile.

Percentile is a comparison score between a particular score and the scores of the rest of a group.

So,  73 percentile shows he had done better then 73% of people.

Hence, Pete scored more than about 73% of the test takers.

Learn more about data here:

https://brainly.com/question/15403824

#SPJ2

Each bottle of perfume contains 2.1 fluid ounces of perfume. The store sells 30 bottles. How many fluid ounces of perfume did the store sell in total

Answers

Answer:

63

Step-by-step explanation:

Answer:

Step-by-step explanation:so did u pass the edulastic test

An ant starts walking along a parabola, y(x)=x^2 starting from the point where x=3 He walks until a point where x=3+a where a is a positive number. What is the y-coordinate of the point that he is at now?
plz no bs answers

Answers

Answer:

the y co-ordinate > 9

Step-by-step explanation:

I just graphed y = x^2 found the point where the x - axis was 3, found that the y co-ordinate was 9 and if you were to add any positive number the y co-ordinate would only get larger!

Hope this helps!

what ratio is equavelent to 5:4

Answers

Answer:

the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Step-by-step explanation:

the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Please help me with this as soon as you can. I have no idea how to do it so please help me.

Answers

Answer:  60

Step-by-step explanation:

What is 12 equivalent tp

Answers

12 is equivalent to 24/2, 36/3, 144/12

The sum of two real numbers is 8 and their product is 14. What is the sum of their reciprocals?

Answers

Answer:

Step-by-step explanation:Let our two numbers be  a  and  b . Then we can see that  a+b=8  and  ab=15 . Now consider

(a+b)3=a3+3a2b+3ab2+b3  by the binomial expansion. Now we have all the information to solve this, observe since  a+b=8  and  ab=15 . We have

(8)3=a3+3ab(a)+3ab(b)+b3  

a3+b3+3ab(a)+3ab(b)=83  

a3+b3+3ab(a+b)=83  

a3+b3=83−3ab(a+b)  

a3+b3=83−3(15)(8)=512−360=152  

You can also observe that  3  and  5  fulfill those conditions so, then  33+53=27+125=152 . Which is our result.

∠1 and ∠2 are a linear pair. If the m∠2 = 33°, find the m∠1.

Answers

Answer:

157 degrees

Step-by-step explanation:

A linear pair is 180 degrees.

180-33 = 157

Answer:

m∠1 = 147°

Step-by-step explanation:

Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.

180°-33°=147°

A DJ charges a setup fee plus an hourly fee to provide music for a dance party. Which equation best represents the amount spent, y, on x hours of music. *
13 points
Captionless Image
y = 0.5x
y = 0.5x + 100
y = 25x + 100
y = 100x + 25

Answers

Answer:

Its c i did it for quizzez and also because the graph goes up 25 every hour

Step-by-step explanation:

The equation best represents the amount spent will be y = 25x + 100. Then the right choice is C.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A DJ charges a setup fee plus an hourly fee to provide music for a dance party.

We know that the amount per hour is generally one-fourth of the number of setup feet. Let 'x' be the number of hours and 'y' be the total amount. Then the equation is given as,

y = 25x + 100

The equation best represents the amount spent will be y = 25x + 100. Then the right choice is C.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ6

How many lines of symmetry does this figure have?
[Note: The black ball is part of the figure.]
A) 0
B) 1
C) 5
D) 10

Answers

Answer:

The answer is B) 1

Step-by-step explanation:

balls

What is 2 1/2 feet to inches?

Actual question:
1 foot=12 inches
2 1/2 feet= blank inches


IREADY!!
thanks :)

Answers

Answer: 30 inches

Explanation: since there is 2 feet you do 12x2. This gives you 24. Then since there is a half foot and a half foot is equal to 6 inches you add that to your 2 feet (24 inches) to get 2 1/2 feet or 30 inches. Hope this helps have a nice day!!!

Six plus five times a number is more than the
number plus eight. Write an inequality and
solve it.

Answers

Answer:

x > 0.5

Step-by-step explanation:

Let the number be x.

6 + 5x > x + 8

4x > 2

x > 0.5

This is a question on inequalities. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

What is the equation for the line that passes through (3, 2) and has a slope
equal to 12
3

Answers

Answer:

Step-by-step explanation:

Remark

I'm not sure I know what you intend for the slope. I will take it as 12/3 = 4

If that is the case then what you have so far is

Solution

y = 4x + b

The given point determines b

Givens

x = 3

y  = 2

Given point

2 = 4*3 + b

2 = 12 + b

b = 2 - 12

b = -10

The equation is y = 4x - 10

Please help I’ll number 12!

Answers

Answer: y = -3/4x - 0.75

Step-by-step explanation:

The slope needs to be negative so that it's perpendicular to

y = 3/4x - 1

The equation then looks like this

y = -3/4x

We can get an exact y intercept number by using the cordinates

Lets input cordinates (3,-3)

-3 = -3/4(3)

-3 = -2.25 - 75 ( I inferenced )

-3 = -3

now that we got the y intercept lets put it all together

y = -3/4x - 0.75

8. Rectangles AFGE and A B C D are similar; FG = 4 centimeters, EG = 6 centimeters
centimeters.
AC
15 cm
4 cm
G
6 cm
E
D
What is the length of BC in centimeters?

Answers

Answer:

14

Step-by-step explanation:

i got it right and you can tell that they are almost the same size.

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