1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
g100num [7]
3 years ago
15

Edward is collecting data on the average length of lizards from head to tail for a particular generation. Initially, the average

length of the lizards was 20 centimeters, and the lizards grew at a relatively fast rate. Two years later, the average length of the lizards was about 22.197 centimeters. With each passing year, the lizards still increased in length, but the growth rate slowed considerably. Which equation in the general form of a natural logarithmic function, , represents the average length of lizards in this generation? (Hint: The graph passes through the point (h + 1,k).)
Mathematics
1 answer:
Zina [86]3 years ago
3 0

Answer:

The general form of a natural logarithmic function is <em>f(x)=a In(x-h) +k.</em> Since the initial average length of the lizards was 20 centimeters, one possible point (h+1,k) through which the function passes is (0,20).

In this case, h= -1 since h +1 = 0 and k = 20.

It follows that x - h = (-1) = x + 1.

So, the function takes the form <em>f(x) = a In(x + 1) +20. </em>

The average length of the lizards after 2 years is 22.197. So f(2) =22.197. We substitute this value into the function

Step-by-step explanation:

<em>f(2) = a In(2 +1) +20 </em>

<em>22.197 = a In(3) + 20 </em>

<em></em>\frac{2.197}{1.099}<em>≈ a </em>

<em>2 ≈ a</em>

So the function that represents the average length of the lizards across this generation is <em>f(x) = 2 In(x+1) +20 </em>

You might be interested in
Which of the following is a complex number
Kisachek [45]
What following are you choosing from


8 0
3 years ago
Read 2 more answers
How can you quickly calculate 20 percent of any bill amount?
Nikitich [7]
There are several ways in solving quick the 20% of any bill. One of those ways is by getting first the 10% of the amount then will later on be multiplied by two. Another one is by simply dividing the total bill amount by 5, which also 20% of the total bill amount. Hope this helps.
4 0
3 years ago
What line is perpendicular to the line 6x+y=-4
Arte-miy333 [17]

Answer:

DONT KNOW TO BE HONEST SEVRS ARE SWAMPED

Step-by-step explanation:

8 0
3 years ago
Dustin has only nickels and quarters in his piggy bank. He was 49 total for combined value of $8.85. How many of each type of co
Troyanec [42]
Let's use the variables N and Q for the number of nickels and the number of quarters.

We know there are 49 total coins, so we can write the following equation:

N + Q = 49

We can solve this equation for one variable which will help in the next step. Let's solve for N:

N = 49 - Q

Next, we know that nickels are worth $0.05 and quarters are worth $0.25. We can use these values along with the total value of $8.85 to create another equation.

0.05N + 0.25Q = 8.85

Now we can use substitution to solve our system out equations. We solved the first equation for N, so we can plug 49 - Q in for N.

0.05(49-Q) + 0.25Q = 8.85

Distribute and combine like terms.

2.45 - 0.05Q + 0.25Q = 8.85

2.45 + 0.2Q = 8.85

0.2Q = 6.4

Q = 32

Plug 32 in for Q in N + Q = 49 to find the number of nickels.

N + 32 = 49

N = 17

Dustin has 32 quarters and 17 nickels.


4 0
3 years ago
Good morning hope you have a great day
g100num [7]

Answer:

Hello how you doing

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • 3 3/5 + 1 1/4 = ??????
    11·1 answer
  • A triangle with sides of lengths 16,30,and 35 is a right triangle?<br> a. true<br> b. false
    5·1 answer
  • A student solved this problem by working backward. janice went shopping with her mom and at the end of the day she had $59.50 le
    11·2 answers
  • gina pasted 3 stickers in a book. if she added one sticker to her collection every day, what equation represents the relationshi
    11·1 answer
  • To participate in a baseball league, the required equipment for each player is a glove, a hat, and a pair of cleats. A glove cos
    9·1 answer
  • Which number has the same value
    14·1 answer
  • A number increase by three is two more twice the number.find the number.​
    9·1 answer
  • If you could just give me answers for 5-d for easy points.
    6·1 answer
  • A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
    6·1 answer
  • ( ukpkkaoebn )<br> come<br> on<br> girl<br> in<br> this<br> meet<br> join<br> fast
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!