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
xxTIMURxx [149]
3 years ago
8

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid

ly increases as the trees blossom. The locust population increases by a factor of 555 every 222222 days, and can be modeled by a function, LLL, which depends on the amount of time, ttt (in days). Before the first day of spring, there were 760076007600 locusts in the population. Write a function that models the locust population ttt days since the first day of spring.
Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

          L(t)=7600(5)^{t/2}

Explanation:

Amend the typos for better understanding:

<em />

  • <em>On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom. The locust population increases by a factor of 5 every 2 days, and can be modeled by a function, L, which depends on the amount of time, t (in days). Before the first day of spring, there were 7600 locusts in the population. Write a function that models the locust population t days since the first day of spring.</em>

<em />

<h2>Solution</h2>

A function that grows with a constant factor is modeled by an exponential function of the kind:

                                      F(x)=A\cdot (B)^x

Where A is the initial value, B is the constant growing factor, and x is the number of times the growing factor applies.

Since the population increases by a factor of 5 every 2 days, the power x of the exponential function is t/2, and the factor B is 5.

The initial popultaion A is 7600.

Thus, the function that models the locust population t days since the first day of spring is:

             L(t)=7600(5)^{t/2}

You might be interested in
When adding or subtracting with scientific notation,why is it important to have the same power of 10?
sladkih [1.3K]
<h2>Explanation:</h2><h2></h2>

Because we perform something like common factor, so this guarantee that corresponding digits have regarding coefficients have the same place value. Remember that a number written in scientific notation is given by the product of a number between 1 and 10 and another number that is power of 10. For example, let's write two examples about this:

Addition:

a=2\times 10^3 \\ \\ b=4\times 10^3 \\ \\ \\ Then: \\ \\ a+b=2\times 10^3+4\times 10^3 \\ \\ =(2+4)\times 10^3 \\ \\ =5\times 10^3

Addition:

a=2\times 10^3 \\ \\ b=4\times 10^3 \\ \\ \\ Then: \\ \\ a+b=2\times 10^3+4\times 10^3 \\ \\ =(2+4)\times 10^3 \\ \\ =6\times 10^3

Subtraction:

a=7\times 10^5 \\ \\ b=2\times 10^5 \\ \\ \\ Then: \\ \\ a-b=7\times 10^5-2\times 10^5 \\ \\ =(7-2)\times 10^5 \\ \\ =5\times 10^5

4 0
3 years ago
Find the value of the ratio.<br><br> Can someone help please???
USPshnik [31]

Answer:

SOH CAH TOA.....Cosine=adj/hyp...... __cosX=16/30___

SOH CAH TOA,,,,,, Tangent= opp/adj-------- Tan X=36/27

Step-by-step explanation:

3 0
2 years ago
Rachel is a lunchroom supervisor at West School. The children eat lunch at 15 long tables. When all tables are used, 240 childre
Diano4ka-milaya [45]
240÷15=16 seats at each table

Since there were 15 tables and 240 in total you have to divide to find the number of seats at a table
6 0
3 years ago
Read 2 more answers
What is the measurement of Q?
PilotLPTM [1.2K]

Answer:

32

Step-by-step explanation:

I did the mathmathics

4 0
3 years ago
Read 2 more answers
Which is the graph of the function f(x) = x^3 + 6x^2 + 11x + 6?
Ganezh [65]
Here you go.. hope this helps

4 0
3 years ago
Other questions:
  • HELP ME PLEASE 20 points for both questions<br> 5-6 on 6th grade 13-1 Daily Review
    15·2 answers
  • Kurt bought a bike for $149.95. Eric bought a bike that had been $169.50 but was marked 1/5 off. How much less did Eric’s bike c
    8·1 answer
  • What is the multiplicative inverse of <br> -7<br> 9
    7·1 answer
  • The vertex form of the equation of
    10·1 answer
  • What is the volume of a sphere with a radius of 18 units
    9·1 answer
  • Is (3,2) a solution of -8x-2y&lt;6
    10·2 answers
  • ALGEBRA 2 <br> *need work to be shown *<br> solve the following equation x^2 + 27=-9
    8·2 answers
  • Uma wants to buy a video game system for $270. She has $60 and is saving $30 each week. Solve the equation 30w + 60 = 270 to fin
    9·2 answers
  • What is the approximate value of x in the diagram below
    15·1 answer
  • What are the domain and range of the graph below.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!