Answers
Step-by-step explanation:
-2 is x1
9 is y1
4 is X2
-1 is y2
m= -1-9/4-(-2)
-10/6 =-1.6
Related Questions
One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number of sterile males that mate with fertile females but produce no offspring. If P represents the number of female insects in a population, S the number of sterile males introduced each generation, and r the population's natural growth rate, then the female population is related to time t by
t =
P+S
P[(r−1)P − S]
dP
Suppose an insect population with 10,000 females grows at a rate of r = 0.10 and 900 sterile males are added in each generation. Evaluate the integral to give an equation relating the female population to time. (Note that the resulting equation cannot be solved explicitly for P.)
Answers
now, to do partial fraction decomposition, consider
(P+S)/P((r-1)P-S) = A/P + B/((r-1)P-S)
P + S = A((r-1)P -S) + PB
if P = 0, then:
A = -1
If (r-1)P - S = 0
=> p = S/(r-1)
B = 1 + r - 1
B = r
Therefore
t = integral(-1/P + (r-1+1)/((r-1)P - S))dP
t = -ln|P| + ln|(r-1)P-S| + 1/r-1 * integral((r-1)/[(r-1)P-S])
t = -ln|P| + ln|(r-1)P-S| + ln|(r-1)P-S|/(r-1)
t = -ln|P| + (r/r-1)ln|(r-1)P-S|
substituting known constants, we get:
t = -ln|P|-1/9(ln|-0.9P - 900|)
t = -ln|P| - 1/9(ln|-0.9P -900|)
t = -ln|P| - 1/9(ln(|(-9/10)(P + 1000)|))
t = -ln(P) - 1/9ln(P + 1000)- 1/9ln(9/10)
as P >= 0, ln(P) and ln(P + 1000) doesn’t need abs value
Note that our expression for t doesn’t account for P=0 as ln(P) is undefined at P = 0.
The expression for t is also undefined at P = -1000, but that falls outside our domain P >= 0, so we don’t really need to worry about that.
The equation relating female population with time requested by t = -ln(P) - 1/9ln(P + 1000)- 1/9ln(9/10)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the female population is related to time t by;
[tex]t = \int\limits {\frac{(P+S)}{P((r-1)P-S)} } \, dP[/tex]
Now, to do partial fraction;
(P+S)/P((r-1)P-S) = A/P + B/((r-1)P-S)
P + S = A((r-1)P -S) + PB
if P = 0, then:
A = -1
If (r-1)P - S = 0
p = S/(r-1)
B = 1 + r - 1
B = r
Therefore,
[tex]t = \int\limits {\frac{(P+S)}{P((r-1)P-S)} } \, dP[/tex]
t = -ln|P| + ln|(r-1)P-S| + 1/r-1 x integral((r-1)/[(r-1)P-S])
t = -ln|P| + ln|(r-1)P-S| + ln|(r-1)P-S|/(r-1)
t = -ln|P| + (r/r-1)ln|(r-1)P-S|
Now substituting known constants then;
t = -ln|P|-1/9(ln|-0.9P - 900|)
t = -ln|P| - 1/9(ln|-0.9P -900|)
t = -ln|P| - 1/9(ln(|(-9/10)(P + 1000)|))
t = -ln(P) - 1/9ln(P + 1000)- 1/9ln(9/10)
as P >= 0, ln(P) and ln(P + 1000) doesn’t need abs value
Therefore, the equation relating female population with time requested by t = -ln(P) - 1/9ln(P + 1000)- 1/9ln(9/10)
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Find the value of e.
Answers
Step-by-step explanation:
sum of three angles in a triangle is 180
55+35+x=180
90+x=180
x=180-90
x=90
If I am ordering a custom wood frame costing $1.27 per inch and the entire area needing framing is 17" on all4 sides, how is price tabulated?
Answers
PLZZZ HELP MEEEeeeeeeeeeeeeeeeeeee
Answers
Answer:
I am a professional, worry not
-1.6 < -1.55 < -0.4 < 1.35 < 1.7
Which graph best represents y = −x2 + 6x − 1?
Answers
Answer:
which graph best represents y = -x2 + 6x - 1?
Step-by-step explanation:
hich is the graph of the linear function that is represented by the equation y= 1/2x-2 ?
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: ( 3 , 8 )
Focus: ( 3 , 31 /4 )
Axis of Symmetry: x = 3
Directrix: y = 33/4
x y
1 4
2 7
3 8
4 7
5 4
Step-by-step explanation:
Below is a picture of the graph
If X, then not Y. If not Y, then Z. Y is true. So:
Answers
Answer:
Z and X is incorrect
Weverton Cliffs is a hiking trail in Maryland. This trail is 3 inches long on a map that has a scale of 7 ½ inches = 15 miles.
If Sarah hikes Weverton Cliffs from beginning to end and returns along the same trail, what is the total distance she hikes?
A. 3 miles
B. 6 miles
C. 12 miles
D. 18 miles
Answers
Answer: Is 6
Step-by-step explanation: Because 1 mile = 1/2. Is this helpful?
In ΔJKL, k = 4.4 inches, l = 8.6 inches and ∠J=129°. Find the length of j, to the nearest 10th of an inch.
Answers
Answer:
Step-by-step explanation:
101 degrees
I need help with my algebra.
Answers
Answer:
f(-2) =-2
Step-by-step explanation:
f(-2) means what is the output of the function when the input of the function is -2
When x =-2, y =-2
f(-2) =-2
Describe a situation and write an equation that you could use in your everyday life.
Answers
Answer:
Variable Costs
Step-by-step explanation:
Imagine that you are taking a taxi while on vacation. You know that the taxi service charges $9 to pick your family up from your hotel and another $0.15 per mile for the trip. So you simply make an equation as y = 0.15x+9. Math is also used in stocks we use math daily in our life, calculating prices for something we use basic multiplication and addition almost everyday.
Supplies for last year cost $1,477, which was $177 over budget. Rounded to the nearest 1%, by what percent did the cost exceed the budgeted cost?
8%
11%
12%
13%
14%
Answers
Answer:
12% is the correct answer.
Simplify to the form of a square root of b
Answers
Answer:
If we substitute a and b to equal 6 for example
it would be
√
6
2
+
6
2
it would equal 8.5(1.d.p) as it would be written as
√
36
+
36
giving a standard form as
√
72
However if it was
√
6
2
+
√
6
2
it would equal 12 as the
√
and
^
2
would cancel out to give the equation 6+6
Therefore
√
a
2
+
b
2
cannot be simplified unless given a substitution for a and b.
I hope this isn't too confusing.
Step-by-step explanation:
Jerome makes and sells his own energy drinks. He mixes a liquid drink mix with water to create his own special blend. Jerome usually uses 8 cups of water and 3 cups of drink mix. Tomorrow, there is a road race in town, however, and Jerome thinks he’ll be able to sell a lot more of his energy drinks than usual. Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio the same and still increase the total amount of energy drink. Who is correct: Jerome’s brother or Jerome’s sister? As you complete the task, keep this question in mind: Based on what you know about ratios, what do you think the answer will be? Directions: Complete each task, reading the directions carefully as you do. You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all your work and to answer each question as you complete the task. Type all of your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and on the completeness and accuracy of your explanations. Your teacher will give you further directions on submitting your work. You may be asked to upload the document, e-mail it to your teacher, or hand in a hard copy. Now let’s get started! Step 1: Finding the part-to-part and part-to-whole ratios To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix? (2 points) What is the ratio of drink mix to water? (2 points) What is the ratio of drink mix to mixed energy drink? (2 points) What is the ratio of water to mixed energy drink? (2 points) Step 2: Testing Jerome’s brother’s approach Jerome’s brother told him to add one cup of water for every one cup of drink mix he add
Answers
Answer:
not well explained??
Step-by-step explanation:
?? explain it better bro.
hen Max was a puppy, he weighed 512 pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.
How much weight did Max gain between the time he was a puppy and his 1-year check-up?
Enter your answer as a decimal or simplified mixed number in the box.
Answers
Answer:
10.3lbs or 10 3/10 as a mixed number
Step-by-step explanation:
i have the same question on my test so i know this is right but here's an explanation: so 5 1/2 pounds is the same as 5.5 pounds, and if you add 10 pounds to 5.5 pounds, you get 15.5 pounds, which is 3 ounces away from 15.8 pounds. so adding 3 ounces to the 10 pounds, then adding that to the 5.5 pounds, you would get 15.8. therefore, your answer is 10.3lbs.
The puppy gained 10.3 pounds of weight in 1 year.
What is subtraction?Subtraction is one of the arithmetical operations, to subtract means to take away from a group or a number of things.
Given that, Max was a puppy, he weighed [tex]5\frac{1}{2}[/tex] pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.
[tex]5\frac{1}{2}[/tex] pounds = 5.5 pounds
Weight before 1 year = 5.5 pounds
Weight after 1 year = 15.8 pounds
Weight gained by the puppy in 1 year = 15.8-5.5 = 10.3 pounds
Hence, the puppy gained 10.3 pounds.
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2. Use any strategy to multiply.
a. 4 x 79
Answers
What is the probability of getting an odd number total when two dice are rolled?
18/36
12/36
1/4
36/36
Answers
LCM =36
18/36×36 = 18
12/36×36 = 12
1/4×36 = 9
36/36 ×36 = 36
so it will be 1/4 since 9 is an odd number
Mr. and Mrs. Ramirez both have jobs for which 22% of their earnings are taken out of their paychecks for taxes. How much would they need to earn together per month before taxes to have enough income to cover all the expenses in their budget?
Answers
Answer:
ñ
Step-by-step explanation:
ñ
The screen on a computer monitor has a length of 3 inches and a width of 4 inches. What is the length of the diagonal to the nearest tenth of an inch?
Answers
Answer:
0.12? i think its wrong
Step-by-step explanation:
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ d^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} d=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ d = \sqrt{3^2+4^2}\implies d = \sqrt{9+16}\implies d = \sqrt{25}\implies d = 5\implies \stackrel{\textit{rounded up}}{d = 5.0}[/tex]
Solve the equation for the given variable
1/2 +y= 2/3
A) y=1/6
B) y=1/3
C) y=1/3
D) y=1 1/6
Answers
Answer:
y= (2/3)-(1/2)
= (4-3)/6
= 1/6
=> A
Step-by-step explanation:
Please help ASAP, probability math question
Answers
Answer:
Step-by-step explanation:
For the first throw the probability that it does not land on four should be .35 not .25
On the top for the second throw the probabilities should be swapped (so land on 4= .65 and not land on four =.35)
which of the following pairs of sets given below are equal?
Answers
Answer:
hi there is that OK for.
Step-by-step explanation:
ok bye por and thanks again and.
in an auditorium,there are 104 rows with 24 seats in each row.how many seats are available?
Answers
Answer:
2,496 seats
Step-by-step explanation:
If there are 104 rows with 24 seats in EACH row, we must multiply to find the answer. Which is gives you the equation: 104 x 24 = 2,496
hope this helps!
mark me brainliest :D
BRAINLIEST What is the probability of getting an odd number total when two dice are rolled?
18/36
12/36
1/4
36/36
Answers
Answer:
18/36
Step-by-step explanation:
There are 36 possible outcomes (6x6). Half of them (18) are odd.
Find an equivalent ratio in simplest terms: 4:60
Answers
Answer:
1:15
Step-by-step explanation:
4 and 60 have the GCF of 4. So, if you divide both sides by that factor, you would get 1:15. Hope this helped :)
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
I know I already got the right answer so please give an explanation too!
Answers
Answer:
11
Step-by-step explanation:
to find the area of a square: base times height, we know that all sides of a square are the same. So, 11*11
=121, the answer is 11
Answer:
11 in.
Step-by-step explanation:
The canvas has the shape of a square.
The area of a square is the side times the side, but since in a square, all sides have equal lengths, then the area of a square is the square of the side.
You are given the area. You need to find the side.
The area is the square of the side, so the side is the square root of the area.
side = √area
side = √(121 in.²)
side = 11 in.
Please hurry, question in the image.
Only real answers will get positive feedback.
Answers
Answer:
The answer is D
Step-by-step explanation:
rate my answer and I hope this helps
Which graph represents the solution to 5 +8x <3(2x + 4)?
A:
-10-9-8 -7 -6 -5 4 -3 -2 -1 0
1
2
3
4
5
6 7 8
9 10
B:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
3
4 5 6 7 8 9 10
C:
-10 -9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
D:
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
A
B
D
Answers
Answer:
Option D
Step-by-step explanation:
Given the inequality statement: 5 + 8x < 3(2x + 4):
We must solve for the solution of the given inequality statement.
First, distribute 3 into the parenthesis:
5 + 8x < 3(2x + 4)
5 + 8x < 6x + 12
Next, subtract 6x from both sides:
5 + 8x - 6x < 6x - 6x + 12
5 + 2x < 12
Then, subtract 5 from both sides:
5 - 5 + 2x < 12 - 5
2x < 7
Divide both sides by 2 to solve for x:
[tex]\displaystyle\mathsf{\frac{2x}{2}<\:\frac{7}{2}}[/tex]
[tex]\displaystyle\mathsf{x<\:\frac{7}{2}}[/tex]
Since [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] = 3.5, and that the inequality symbol is "<," then it means that [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] or 3.5 is not included as an endpoint. This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).
Therefore, the correct answer is Option D.
14. Explain why a rotation of positive 180 degrees is the same as a rotation of -180 degrees.
Answers
Answer:
t is the same because...
Step-by-step explanation:
turning -180 is like turning right turning left no matter how you turn you will still be in the opposite from which you started
I have to get this done by today pls help me
Answers
Answer:
16
Step-by-step explanation:
d = 800
t = ( 1 / 500 ) d
t = ( 1 / 500 ) 800
= 800 / 500
t = 1.6 hours
What value of x would result in the numerical value of zero in the expression 7+x+(−10) ?
Answers
Answer:
x = 3
Step-by-step explanation:
So if we plug in 3 to 7+x+(-10), it simplifys to
7+3+(-10)
10+(-10)
10-10 = 0
x=3
