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
Angelina_Jolie [31]
3 years ago
13

The park service that administers a state park estimates that there are 495 deer in the park. They decide to remove deer accordi

ng to the differential equation dP/dt = −0.1P.
a. Show that the solution to the differential equation dP/dt = −0.1P is P = 495e^−0.1t , where t is measured in years and P is the population of deer. Use it to find the deer population in 5 years to the nearest deer.

b. After this 5-year period, no human intervention is taken and the deer population grows again. From that time, the deer population increases directly proportional to 650−P, where the constant of proportionality is k. Find an equation for the deer population P(t) in terms of t and k for this 5-year period.

c. Using the growth model from part b), 1 year later the deer population is 350. Find k.

d. Using the growth model from part b) and the value of k from part c), find lim t→∞ P(t)
Mathematics
1 answer:
Vlada [557]3 years ago
6 0

Answer:

your answer is (A.)

Step-by-step explanation:

You might be interested in
Consider the parametric equations
MArishka [77]

Answer:(a)x^2+2y^2=2

(b)In the attached diagram

Step-by-step explanation:Step 1: Multiply both equations by t

xt=t(cost -sint)\\ty\sqrt{2} =t(cost +sint)

Step 1:  Multiply both equations by t

xt=t(cost -sint)\\ty\sqrt{2} =t(cost +sint)

Step 2:We square both equations

(xt)^2=t^2(cost -sint)^2\\(ty)^2(\sqrt{2})^2 =t^2(cost +sint)^2

Step 3: Adding the two equations

(xt)^2+(ty)^2(\sqrt{2})^2=t^2(cost -sint)^2+t^2(cost +sint)^2\\t^2(x^2+2y^2)=t^2((cost -sint)^2+(cost +sint)^2)\\x^2+2y^2=(cost -sint)^2+(cost +sint)^2\\(cost -sint)^2+(cost +sint)^2=2\\x^2+2y^2=2 hopes this helps

5 0
3 years ago
jim ran 15.2 miles over the weekend . he ran 6.75 miles on saturday. how many miles did he run on sunday?
kap26 [50]
Subtract 6.75 from 15.2 to find what he did on Sunday, because supposed the number of miles he ran on Sunday was x. Therefore, the formula should be x + 6.75 = 15.2
Solve that, and you should get that Jim ran 8.45 miles on Sunday. 
8 0
3 years ago
Find the limit. (If an answer does not exist, enter DNE.)<br> lim ( (1/x)-(1/lxl)) <br> x→0^+
jek_recluse [69]

Answer:

0

Step-by-step explanation:

The + on the zero means the limit as x approaches 0 from the right side

\lim_{x \to 0^{+} } (\frac{1}{x} - \frac{1}{|x|})\\ \lim_{x \to 0^{+} } (\frac{1}{x} - \frac{1}{x})\\ \lim_{x \to 0^{+} } (0)\\0

4 0
2 years ago
If x = 5 units, y = 15 units, and h = 9 units, find the area of the parallelogram shown above using decomposition.
Yakvenalex [24]

Answer:

?????????????????????????????

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Cheryl is moving to a new house. Her old house is 3 km from her new house. How many
ANTONII [103]

Answer:

3,000 meters

Step-by-step explanation:

recall that 1 kilometer = 1,000 meters

hence  

3 kilometers = 1,000 meters x 3 = 3,000 meters

6 0
3 years ago
Read 2 more answers
Other questions:
  • pediatricians prescribe 5 ml of cough syrup for every 25 lb of a child’s weight . How many millimeters of cough syrup will the d
    10·1 answer
  • A weather balloon is at an altitude where the temperature is 3º C. The balloon ascends 900 ft with a decrease in temperature of
    9·1 answer
  • In what way are juveniles subject to different laws than adults?
    11·2 answers
  • Classify the following expression by degree and term: (2 points)<br><br> x2y − 7xy + xyz + x
    8·1 answer
  • Is 0.2222222 rational
    7·2 answers
  • PLEASE HELP ME BRAINLY I NEED IT
    14·2 answers
  • At 4 p.m., the temperature started to change drastically. Each hour, for three hours the temperature decreased by 7°F
    6·1 answer
  • Help me, please<br> i really need it
    10·2 answers
  • Which expression correctly represents 10 less than a number cubed?
    7·2 answers
  • Find the area of the circle. Use 3.14 for pi. 24 ft
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!