Let N* be the total number of ranchers in Uruguay, and N(t) be the number of ranchers who have adopted an improved pasture technology there. Assume that the rate of adoption, , is proportional to both the number who have adopted the technology and the fraction of the ranchers who have not (and so are susceptible to conversion). Let a be the proportionality constant.
a. Write down the differential equation modeling N(t).
b. According to Banks (1993), N* = 17000, N(0) = 170, a = 0.5 per year.
Determine how long it takes for the improved pasture technology to spread to 80% of the population of the ranchers.
Answer:
A) dN / dt = aN( N* - N ) /N*
B) 12 years
Step-by-step explanation:
attached below is a detailed description of the solution
A) Write down the differential equation modelling N(t)
The differential equation of the modelling = dN / dt = aN( N* - N ) /N*
B) Determine how long it takes for improved pasture technology to spread to 80% of the population of the ranchers
firstly we will resolve the ODE and apply partial fractions, integrate and exponentiate before inputting the given data. attached below is a detailed solution
45x - 18 factored i really need help
Item 25
You spin the spinner and flip a coin. Find the probability of the compound event.
A spinner is divided into 5 equal regions. The sections are labeled 1, 2, 3, 4, and 5.
The probability of spinning a prime number and not flipping heads is
Answer:
hi noah
Step-by-step explanation:
Answer:
Hi Noah is not an answer
Step-by-step explanation:
+
2
8
2
Least multiple that is the sam
Add using renamed fractions
Answer:
no
Step-by-step explanation:
9/12 = 3/D O D = 6 O D = 4 O D = 5 O D - 10
Answer:
The answer would be D = 4 or option 2.
Step-by-step explanation:
9/12 = 3/?
First, you want to simplify 9/12
9/12 = 3/4
This shows you that D = 4
Teddy makes 32 fluid ounces of hot cocoa. He pours equal amounts of cocoa into 5 cups. The amount of hot cocoa in each cup will fall between which two amounts?
A. 3 and 4 fluid ounces
B. 4 and 5 fluid ounces
C. 5 and 6 fluid ounces
D. 6 and 7 fluid ounces
if a box of oranges weigh 4 kilograms one orange weighs 80g how many oranges?
hich expression is equivalent to -4(7 - 2m) + 11m?
Answer:
[tex] - 4(7 - 2m) + 11m \\ = - 28 + 8m + 11m \\ = \boxed{19m - 28}[/tex]
Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.
20−5(4/2)^2=? /= fraction
Answer:
0
Step-by-step explanation:
=20−5(2^2)
=20−(5)(4)
=20−20
=0
Can someone help me?
Answer:
with what
Step-by-step explanation:
dont see nothinfg
Answer:BD equals CE? Are lines parallel
Step-by-step explanation:
PLS HELP!!!! WILL GIVE BRAINLIEST!!!!
Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for
(0,4)
(-3,0)
Can anyone help me pls
Mia went to the art store and bought 2 poster boards and 3 markers. She spent A total of $6.50. The total tax was $1.25. How much did each marker cost? *
mr rivas bought a can of paint. he used 3/8 for a bookshelf and 1/4 on a wagon. he has 1/8 of paint left. how much paint did he use to paint a birdhouse.
Who can help me pronto i will give a brainliest
Answer:I think it would be C
Step-by-step explanation:
Answer:
1) B
-2x+y=4
+2x+3y=20.
4y=24
2) 4y=24. divide both sides by 4
y= 6
3) (Pick any equation you like, change y to 6)
-2x+6=4 subtract 6 to both sides
-2x=-2 divide by -2
x=1
or
2x+3(6)=20. --> 2x+18=20 subtract 18 to both sides
2x=2. divide by 2
x=1
4) (x,y) change the x and y to their values. (1,6)
Step-by-step explanation:
explained on top
Could someone answer and explain. Will mark the brainliest
Answer: I think you’re right??
Step-by-step explanation:
Paul is a newspaper boy who received a total piecework
paycheck of $265.72. He receives 73 cents for every
newspaper he delivers. How many newspapers did he
deliver?
Answer:
364
Step-by-step explanation:
265.72 ÷ 0.73 is 364
Check:
364 x 0.73
265.72
The area of a square carpet is 5476 sq.cm. Find the length of its side.
Answer:
Area of square = (side)^2 = 5476 sq.cm
side = √5476 sq.cm
side = √(74 cm)^2
side = 74 cm
Step-by-step explanation:
Answer:
74
Step-by-step explanation:
Since it's a square, all the sides are the same. Just square root 5476.
pls help :)
Given the function y = x + 3, what is the value of y if x is 7?
Answer:
10
Step-by-step explanation:
y=x+3; x=7
Substitute x in with 7
y=7+3Add 7 and 3
y=10Given the following formula, solve for v.
S=1/2a2v+c
Answer:
Since there is no initial condition, the exact value of v cannot be determined, but you can set the equation up for a general evaluation of the situation.
s = 1/2a^2*v+c
First you need to subtract c from both sides to get
s-c = 1/2a^2*v
then you can just divide both sides by 1/2a^2 to get v
(2(s-c))/a^2=v
when dividing a fraction, such as 1/2, make sure to keep in mind that you're really multiplying the flipped version, so that dividing by 1/2 means multiplying by 2.
Step-by-step explanation:
40 POINTS PLEASE HELP
Answer:
Step-by-step explanation:
Y = 10
C = 40
D = 76
Answer: Okay found the answer hope I am not too late
Step-by-step explanation:
Y is 10
C is 40
D is 76
Hope this helps!
The first floor of a tiny house has the length of 11 feet. The width of the kitchen feet is 7 feet and the width of the bottom bathroom feet is 4 feet the expression 11(7+4) represents the total area in the square feet.
why an expression to represent a total area as a some of the areas of each room
Answer:
11 and 4
Step-by-step explanation:
a sequence of payment made at equal time period is a/an'????
Answer:
Annuity.
Step-by-step explanation:
A sequence of payment made at equal time period is called an annuity.
Basically, annuity can be calculated using the compound interest formula. It is given by the mathematical expression;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Additionally, the time period between each payment is called payment period.
The term of an annuity refers to the time from the beginning of the first payment made by an individual to the end of the last payment period.
PLZZZ ASAP I NEED HELP!!!!
describe the volume of a rectangular prism and a rectangular pyramid with the same dimensions related.
Answer:
the relationship between a prism and a pyramid with equal bases and heights is the volume of the prism is three times the volume of the pyramid.
Step-by-step explanation:
Solve the problem using long division
Answer and Step-by-step explanation:
[tex](m^{2} - 3m - 7) (\frac{1}{m+2})[/tex]
1m -5
____________
[tex]m+2 |m^{2} - 3m - 7[/tex]
- m^2 + 2m
___________________
-5m - 7
- -5m - 10
___________________
3
(The negatives cancel out).
[tex]m - 5 + \frac{3}{m+2}[/tex] <- This is the answer.
#teamtrees #WAP (Water And Plant)
A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger. Use a double number line to complete the table.
Weight (lb)
2
3
4
5
Cost ($)
7.00
10.50
14.00
17.50
What is the unit rate in this relationship?
Step-by-step explanation:
fresco didn't Divo ratify jdndodnswjskd ksosbwjw
Coupd someone help me with this? (picture)
Answer:
2x3 = 6
6x14 = ...
Step-by-step explanation:
All the solutions with a + in them are not applicable to this multiplication
527856 \ 8
How do I solve this with long division to find my quotient?
Answer:
65,982
Step-by-step explanation:
Look at the attached image for the step by step solution
Round 13.045 to the nearest whole number.
Answer:
13. it says nearest whole number.
Step-by-step explanation:
Answer: 13
Step-by-step explanation:
The sum of three consecutive even integers is 486. find all three integers
160 and 162 and 164
Step-by-step explanation:
To find the three even integers, use the equation
x + (x + 2) + (x + 4) = 486
Then solve:
Add the common terms (the xs and numbers)
3x + 6 = 486
Subtract the 6 from both sides
3x = 480
Then divide
x = 160
So 160 + (160 + 2) + (160 + 4) = 486
160 + 162 + 164 = 486
So your three consecutive even integers are
