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 two lines intersect to form two angles, what conjecture can you make about the pairs of angles that are next to each other?
gayaneshka [121]
The pair of angles are adjacent angles and supplementary and their measure =180
7 0
3 years ago
Combine the like terms to create an equivalent expression 5z + 3 -3z
Valentin [98]

Answer:

2z + 3

Step-by-step explanation:

5z + -3z is 2

2z + 3

7 0
3 years ago
Read 2 more answers
Find the surface area of the triangular prism.<br><br> 15.6 cm<br> 10 cm<br> 11 cm<br> 12 cm
dimulka [17.4K]

Answer:

533.6cm²

Step-by-step explanation:

Hello!

I'm here to answer your question!

<u>Area of each triangular base:</u>

\frac{1}{2}(12)(10)=60

<u />

<u>Area of the rectangular faces:</u>

12\times 11 =132

15.6\times 11=171.6

10\times 11=110

<u>Add to find the surface area:</u>

60+60+132+171.6+110=533.6

Thus, the surface area of the triangular prism is = 533.6 yd²

Hope this helps you!

Hugs from,

Josh

6 0
3 years ago
Read 2 more answers
In a village the number of houses and the number of flats are in the ratio 7 : 4 the number of flats and the number of bungalows
LenaWriter [7]

Answer:

  140

Step-by-step explanation:

We can find the number of houses from ...

  # houses = (houses/flats)(flats/bungalows)(# bungalows)

  = (7/4)(8/5)(50)

  # houses = 140

4 0
3 years ago
Joelle would like to tip her hairdresser 20%. If her haircut costs $38.00, which expression should she use to find the tip amoun
Ksju [112]

Answer:

(0.2)(38)

Step-by-step explanation:

To find a percent, you multiply the number (cost) by the decimal of the percent

20% as a decimal is .2

6 0
3 years ago
Read 2 more answers
Other questions:
  • 17.2 in expanded form
    7·2 answers
  • Michael had a 12 food tree fall down during a recent storm. If he is going to cut the tree into 1/3 pieces, how many pieces will
    14·1 answer
  • I need help on this!!!
    8·2 answers
  • The probability that Maria succeeds at any given free-throw is 75\%75%75, percent. She was curious how many free-throws she can
    8·2 answers
  • Find the value of (a)6 (6×5÷3-2) (b) (4÷3)- 3+4​
    15·1 answer
  • Liam is setting up folding chairs for a meeting. If he arranges the chairs in 5 rows of the same length, he
    5·1 answer
  • helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelp
    8·1 answer
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP Which statement would be LEAST LIKELY to occur based on the probability?
    6·1 answer
  • Can someone explain me this please :)
    13·1 answer
  • What is the answer to this math question
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!