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
3(9z+4) &gt; 35z - 4<br> What is z
attashe74 [19]

3(9z+4) > 35z - 4

27z + 12 > 35z - 4

12 + 4 > 35z - 27z

16 > 8z

\frac{16}{8}  > z

2 > z

4 0
2 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPHEL
zloy xaker [14]

Answer:

15 degrees

Step-by-step explanation:

90-75= 15

........

6 0
3 years ago
For some postive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770. The value of Z is
Talja [164]

Answer:

1.16

Step-by-step explanation:

Given that;

For some positive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770.

This implies that:

P(0<Z<z) = 0.3770

P(Z < z)-P(Z < 0) = 0.3770

P(Z < z) = 0.3770 + P(Z < 0)

From the standard normal tables , P(Z < 0)  =0.5

P(Z < z) = 0.3770 + 0.5

P(Z < z) =  0.877

SO to determine the value of z for which it is equal to 0.877, we look at the

table of standard normal distribution and locate the probability value of 0.8770. we advance to the  left until the first column is reached, we see that the value was 1.1.  similarly, we did the same in the  upward direction until the top row is reached, the value was 0.06.  The intersection of the row and column values gives the area to the two tail of z.   (i.e 1.1 + 0.06 =1.16)

therefore, P(Z ≤ 1.16 ) = 0.877

8 0
3 years ago
Making an
Tems11 [23]
1. the combinations are 5 and 3 twice and 3 and 4 twice
5+3+5+3+3+4+3+4= 30 L

2. Trya can ride 12 , 18, 24,30 kilometres are the possible distance

3. lexi can put 4 ribbons and 2 photos on her bulletin that is 40 cm meters.
ribbons 4×4=16
bulletin 12×2=24
altogether 40 cm with nothing overlapping

4. don't know dollars and centd sorry I know pounds as I am British
7 0
3 years ago
Does anyone understand how to do this
Lerok [7]

Answer:

Step-by-step explanation:

I understand it!  (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers.  You don't know what they are so we will call them x and y.  Our first statement says that these numbers multiply to equal 120.  So that first equation is

xy = 120

Our second statement says that they add to -22.  So that second equation is

x + y = -22

Now we need to find the 2 numbers.  We have 2 unknowns, x and y.  That means that we have to have 2 equations.  No more than 2 no less than 2.  Solve the first equation for y.  It doesn't matter which equation you pick and which variable you choose to solve for.  If you do the work correctly, you will get the correct answers either way.  Solving the first equation for y gives you:

y=\frac{120}{x}

Now tht we have a value for y, we can use the substitution property of equality to sub that value into the second equation for y:

x+\frac{120}{x}=-22

Instead of finding a common denominator, we are going to eliminate x in the denominator altogether.  Do this by multiplying everything by x to get

x^2+120=-22x

Get everything on one side of the equals sign and factor:

x^2+22x+120=0

Because 12 * 10 = 120 and 12 + 10 = 22, our factors are 12 and 10:

x^2+12x+10x+120=0

Use factoring by grouping now.  

(x^2+12x)+(10x+120)=0

From the first set of parenthesis you can factor out an x, and from the second set you can factor out a 10:

x(x + 12) + 10(x + 12) = 0

Now factor out the common x + 12 to get a factored quadratic:

(x + 12)(x + 10) = 0

By the Zero Product Property, either x + 12 = 0 or x + 10 = 0.  Solving both for x gives you x = -12 or x = -10.

If x = -12, then

-12 + y = -22 so

y = -10

If x = -10, then

-10 + y = -22 so

y = -12.

The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which.  They are not asking you to specifically define x and y.  They are asking you to find the numbers, and you did!

6 0
3 years ago
Other questions:
  • You are completing a tax form The tax is 15.3% of $47,000.
    12·1 answer
  • in the 1996 summer olympics michael johnson set a world record in the 200-meter run with a time of 19.32 seconds this broke his
    9·1 answer
  • Rohan has $100 that he wants to save in a bank . Bank A offers two types of savings accounts. One has a 5% simple interest rate,
    9·1 answer
  • In engineering and product design, it is important to consider the weights of people so that airplanes or elevators aren't overl
    6·1 answer
  • Which Pythagorean identity is correct?
    8·2 answers
  • The mobile company charges $180 for an hour of service. How many dollars are customers charged every minute?
    12·2 answers
  • Simplify the radical expression: -24√3 + 5√3
    8·2 answers
  • What's this answer???
    5·1 answer
  • NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
    10·2 answers
  • What is the value of x? pls help!! :(
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!