Answer:
16.46 I don't know
Step-by-step explanation:
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.)
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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Use point-slope from to write the equation of a line that passes through the point (10,3) with slope -5.
Answer:
[tex]y=-5x+5[/tex]
Simplify to the form of a square root of b
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:
use the given conditions to write an equation!!!!
Twice the sum of five and a number is 36
Answer:
2(5+x)=36
Step-by-step explanation:
Answer:
N+5=36
Step-by-step explanation:
hope this helps good luck!
Subtract (7u2+10u+6) from (3u2−5u+4).
The solution to simplifying the algebraic expression is: -4u² - 15u - 2
How to solve Algebraic Expressions?Algebraic expressions are defined as the idea of expressing numbers using letters or alphabets without specifying their actual values
The algebraic expression we want to simplify is:
3u² - 5u + 4 - (7u² + 10u + 6 )
Simplifying the bracket gives us:
3u² - 5u + 4 - 7u² - 10u - 6
Arranging like terms gives us:
3u² - 7u² - 5u - 10u + 4 - 6
= -4u² - 15u - 2
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What is the probability of getting an odd number total when two dice are rolled?
18/36
12/36
1/4
36/36
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
2. Use any strategy to multiply.
a. 4 x 79
What value of x would result in the numerical value of zero in the expression 7+x+(−10) ?
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
which of the following pairs of sets given below are equal?
Answer:
hi there is that OK for.
Step-by-step explanation:
ok bye por and thanks again and.
Customers at a gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the scenario.
What is the slope of the line?
BRAINLIEST What is the probability of getting an odd number total when two dice are rolled?
18/36
12/36
1/4
36/36
Answer:
18/36
Step-by-step explanation:
There are 36 possible outcomes (6x6). Half of them (18) are odd.
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?
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]
Lila evaluates the expression using the following steps:(−7.13+63.97)+(−54.8−3.4)−71.1+(−58.2)−129.3Describe the error that Lila made.
Lila's error was that she added -7.13 to 63.97 to get -71.1
Lila steps are as folows
(−7.13 + 63.97) + (−54.8 − 3.4) = −71.1 + (−58.2) = −129.3
In the first bracket, Lila was suppose to subtract 7.31 from 63.97 since there is a negative in front of 7.31.
So, the correct expression should be
(−7.13 + 63.97) + (−54.8 − 3.4) = 56.84 + (−58.2) = 56.84 - 58.2 = −1.36
So, Lila's error was that she added -7.13 to 63.97 to get -71.1
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in an auditorium,there are 104 rows with 24 seats in each row.how many seats are available?
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
Describe a situation and write an equation that you could use in your everyday life.
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.
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
Answer:
not well explained??
Step-by-step explanation:
?? explain it better bro.
A gym is selling monthly memberships for $40 each and reusable water bottles for $6 each. The gym needs to make $1248 by the end of the month.
Enter a linear equation that describes the problem.
An equation for the amount of money made by the gym is = $1248, where m is the number of monthly memberships sold, an
In a particular class of 23 students, 14 are men. What fraction of the students in the class are
women?
Answer:
9/23
Step-by-step explanation:
w=23-m
m=14
w=23-14=9
There are 9 women
9/23
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?
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.
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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divide 60 crayons between 2 pupils so that get twice as many as the other
Answer:
First pupil will have 40 crayons
Second pupil will have 20 crayons
Step-by-step explanation:
Ratio will be 2:1, total ratio = 2+1 = 3
First pupil
[tex] = { \tt{ \frac{2}{3} \times 60 }} \\ \\ = { \tt{40 \: crayons}}[/tex]
Second pupil
[tex] = { \tt{ \frac{1}{3} \times 60}} \\ \\ = { \tt{20 \: crayons}}[/tex]
I have to get this done by today pls help me
Answer:
16
Step-by-step explanation:
d = 800
t = ( 1 / 500 ) d
t = ( 1 / 500 ) 800
= 800 / 500
t = 1.6 hours
Any MATHEMATICIANS IN THE HOUSE PLS
Find the equation of the circle centre (-3,4) with radius 7 units
options
(a) x2+y2+6x+8y−24=0
(b) x2+y2-6x-8y+24=0
(c) x2+y2+6x-8y-24=0
(d) x2+y2+6x-8y+24=0
Answer:
A po
Step-by-step explanation:
pa like po and pa point ty po
(x-(-3))² + (y-4)² = 7²
x2+6x+9+y²-8y+16= 49
x2+y²+6x-8y+25-49=0
x2+y2+6x-8y-24=0
answer:
B. x2+y2+6x-8y-24=0
I need help with my algebra.
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
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%
Answer:
12% is the correct answer.
PLZZZ HELP MEEEeeeeeeeeeeeeeeeeeee
Answer:
I am a professional, worry not
-1.6 < -1.55 < -0.4 < 1.35 < 1.7
Please hurry, question in the image.
Only real answers will get positive feedback.
Answer:
The answer is D
Step-by-step explanation:
rate my answer and I hope this helps
what is the slope of the line?
Which graph best represents y = −x2 + 6x − 1?
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
14. Explain why a rotation of positive 180 degrees is the same as a rotation of -180 degrees.
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
