The area of a square with sides of length s is given by A = s^2. Find the rate of change of the area with respect to s when s = 5 meters.​

Answer:

10

Step-by-step explanation:

A = s^2

Differentiate each side with respect to s

dA /ds =  2 s

Let s = 5 meters

dA /ds =  2  *5

dA /ds =  10

Alright anyone that can help me?

A newborn baby has about 26,000,000,000 cells. An adult has about 1.9 X 10^3 times as many cells as a newborn. About how many cells does an adult have? Write your answer in scientific notation.

Mr. Atkinson has 5.25 lb of dry fish food. He will put an equal amount of food into 3 containers. How much fish food will be in each container?

PLEASE ANSWER

Select the correct answer.

Caroline rewrote a quadratic equation in vertex form by completing the square, but her work has errors.


Identify the first error in her work.


A.

She incorrectly factored out the value of a.

B.

She subtracted the wrong value to maintain balance after completing the square.

C.

She incorrectly combined the constant terms.

D.

She squared the wrong value when completing the square.

Vanessa collected Barbie dolls. She began with 2 dolls and added the same amount of dolls to her collection each year. In the 24th year, Vanessa had 98 dolls. Which function, d(n), can be used to determine the number of dolls Vanessa had in any year? Show complete working format please ​

Jim had three more than twice the number of doughnuts as Jane. Jim had 15 doughnuts. What is the equation to find out how many doughnuts Jane had?

Simplify: 3.32 +8+2 - (4 + 3) ​

Dao has 2 38 pounds of hamburger meat. He is making 14pound hamburgers. Dao has enough meat to make 10 hamburgers. True Or False?

Is this a good freestyle poem
Do you have a recommendation
What would people say if I were gone?
What would they write on my tombstone?
In 10 years would they even remember me?
If I don't even like myself why would people like me?
I feel like I am carrying my problems up a mountain, people have tried and helped but after a while, they just walk away.
Someone asks me can you take some of mine, of course, why not.
I feel like I am letting myself be crushed by my own problems but I want to help everyone else.
I don't want anyone to feel like I do so I try to take their problems to.
I have taken to many I am finally falling.
I am falling off the mountain will anyone even try to stop me from falling or will they let me go.
Let me go. Let me go.
Sometimes I wish someone would save me because I have been trying to save myself for too long.
But others times I wnder do they really want to help me or do they just want me to take some of their pain?

need answer asap Whole numbers: ___ + ___ + ___ = _____ cups of soup mix.

can someone help me please !!

Each baseball hat costs the same amount of money. The cost for 18 baseball hats was $216. What is the unit price?

The distance between point (-4,5) and another point is 10. What are the possible coordinates of the other point?

PLEASE HELP ASAP I WILL GIVE BRAINLIEST TO WHOEVER GIVES THE RIGHT ANSWER FIRST

(01.03 MC)
What is the simplified expression for 3* •2°•3?? (1 point)
24
O 1) 3
2
2)
3)
2
14) 2

Timothy went to a baseball game. After the game, he wanted to ride the bus home. The red and blue line buses both stop at the stadium. * A red line and a blue line bus both leave the stadium at 4:00 p.M. * Red line buses leave the stadium every 6 minutes * Blue line buses leave the stadium every 8 minutes If the game is over at 4:30 p.M., what bus will the kids take if they wanted to leave the stadium at the same time after the game was over?

The city council voted on a new tax. 20 city council members voted in favor of the tax and 60 voted against the tax. What percentage of the city council members voted in favor of the tax?

The sides of a triangle measure 2+ 5,−4, and 3(2+ 1). What is the perimeter of the triangle?

The TCMS Mustangs played the GCF Grizzlies. On the opening kickoff the ball traveled 35 yds. The running back ran for 17 yards on the next play. The quarterback was sacked for a loss of 5 yds. The next 3 plays had a gain of 4 yards per play. What was the total change in the position of the ball on the field?

Need help really confusing

Help me out pleaseeeee

12. The table shows the height in feet of a stack of medium sized moving boxes. What is the height of a stack of 14 boxes

Angel has an action figure collection of 300 action figures. He keeps 267 of the action figures on his wall. What percentage of Angel's action figure collection does he keep on his wall?

which expression represents this model?

the sum of 5 angles of an octagon is 840. What measures of the remaining 3 angles if they are congruent to one another?

Drag the ruler and protractor over the sides and angles to
measure them.
1 y 6
Use the interactive tool to determine if the two triangles
are congruent. Then, select the true statement.
O AABC AEFG
4
Ο ΔΑΒC 2 ΔΕEG
2
O AABC - AGEF
The triangles are not congruent.
-6
-4
-2
| A2
2
4
-2
4
-B В
-6

How does a circle help create a trianglular shape

46 POINTS! BRAINLIEST! PLSSS HELP! ONLY ANSWER IF UR GUD AT MATH!


National Park Animal Populations

You are studying the populations of three animals in a national park. Below are the data sets for the animal populations. Circle the park that you chose:

Yellowstone

x Year

y1 Population 1, Grizzly Bears

(per square mile)

y2 Population 2, Pocket Gophers

(per square mile)

y3 Population 3, Osprey

(per square mile)

x y1 y2 y3

0 4.0 4.0 4.0

1 4.5 4.5 5.8

2 5.0 5.3 7.2

3 5.5 6.4 8.2

4 6.0 8.1 8.8

5 6.5 10.6 9.0

8 8.0 28.6 7.2

10 9.0 60.7 4.0


Everglades

x Year

y1 Population 1, American Alligator

(per square mile)

y2 Population 2, Marsh Rabbit

(per square mile)

y3 Population 3, Florida Panther

(per square mile)

x y1 y2 y3

0 6.0 6.0 6.0

1 6.5 6.5 7.8

2 7.0 7.3 9.0

3 7.5 8.4 9.8

4 8.0 10.1 10.0

5 8.5 12.6 9.8

8 10.0 30.6 6.0

10 11.0 62.7 1.0



Make Sense of the Problem

What do you want to find out?




Analyze the Data

Population 1 (y1): ______________________________ (Write the animal species' name.)

Answer the following questions about the growth function of population 1:

1. Is population 1 increasing or decreasing? (0.5 point)






2. What is the rate of change between year 0 and year 1 for population 1? What is it between year 5 and year 10? Include calculations in your answer. (2 points)







3. Predict the average rate of change from year 5 to year 6 for population 1. Use the average rate of change you found in question 2 in your prediction. (1 point)







4. What type of function best models the growth for population 1? Give a reason for your answer. (1 point)







Population 2 (y2): ______________________________ (Write the animal species' name.)

Answer the following questions about the growth function of population 2:

5. What is the maximum population per square mile during the first 10 years for population 2? (0.5 point)







6. What is the average rate of change for population 2 between years 5 and 10 (x = 5 to x = 10)? (1 point)







7. The average rate of change for population 2 changes by a common ratio (multiplication) of 1.5 each year. What type of function best models this growth? (1 point)







8. Estimate the average rate of change from year 5 to year 6 for population 2. Remember, the average rate of change for this population changes by a ratio of 1.5 each year. Show your work. HINT: First find the average rate of change from year 4 to year 5. (3 points)







Population 3 (y3): ______________________________ (Write the animal species' name.)

Answer the following questions about the growth function of population 3:

9. What is the maximum population per square mile during the first 10 years for population 3? In what year did this occur? (1 point)







10. What is the average rate of change for population 3 between years 5 and 10 (x = 5 to x = 10)? Show your work. Identify the change as an increase or a decrease. (2 points)







11. What type of function best models the growth for population 3? Give a reason for your answer. (1 point)







12. Use the graph provided. When do all three populations contain the same number of animals? (1 point)








13. Use the following graphs to verify your work on this question.


A. Estimate the average rate of change from year 5 to year 8 for population 3. Show your work. (2 points)







B. Estimate the average rate of change from year 8 to year 10 for population 3. Show your work. (2 points)







C. Based on the answers to Parts A and B, estimate the number of animals in population 3 in year 15, and give a reason for your estimate. (1 point)

A sample of 100 mg of cobalt is studied over time. After 1 year, the sample was measured at 97.5 mg. If the size of the sample continues to change at the same rate, which equation models the change?

What is the relationship between ∠1 and ∠8?