Answer:
The correct equation is 23n=65
Step-by-step explanation:
23n=65 means a number 'n' multiplied with 23 gives you the product 65.
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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Janelle wrote the matrix addition below.
Which statement is true?
(n+4)-7=18
((m-1) +12)+0=12
((s +1)-18)+11=-28
n+(m-1) + (s+1) =-28
TIMED TEST PLEASE HELP!
Answer:
I think the second option is the right answer
So it will be ((m-1)+12)+0=12.
Can someone help me? I still don't understand this question.
[tex]f(x) = -6x^2 + 7x + 4[/tex]
Step-by-step explanation:
For x = 1
[tex]a(1)^2 + b(1) + c = 5 \Rightarrow a + b + c = 5[/tex] (1)
For x = -3,
[tex]a(-3)^2 + b(-3) + c = -71[/tex]
[tex]\Rightarrow 9a - 3b + c = -71[/tex] (2)
For x = 3,
[tex]a(3)^2 + b(3) + c = -29[/tex]
[tex]\Rightarrow 9a + 3b + c = -29[/tex] (3)
Let's add Eqn(2) and Eqn(3) together to eliminate b:
[tex]\Rightarrow 18a + 2c = -100[/tex] (4)
Next, multiply Eqn(1) by 3 and then add to Eqn(2) to get
[tex]\Rightarrow 12a + 4c = -56[/tex] (5)
Then we want to eliminate c by multiplying Eqn(4) by -2 and then adding to Eqn(5) and we will get
[tex]-24a = 144 \Rightarrow a = -6[/tex]
Now that we have the value for a, we can use either Eqn(4) or Eqn(5) to solve for c and we will get
[tex]12(-6) + 4c = -56 \Rightarrow c = 4[/tex]
Using the values of a and c on Eqn(1), we find that [tex]b = 7[/tex] so therefore, our function f(x) has a form
[tex]f(x) = -6x^2 + 7x + 4[/tex]
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
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.
Some equilateral triangles are not isosceles. True or false
Answer:
An isosceles triangle is never equilateral.
Step-by-step explanation:
Equilateral means that the side are of equal length. ALL the sides, not just two of them.
1. You are interested in recycling behavior and whether it varies between urban and
rural residents. You know that the statewide recycling rate is 48.89%, and you
survey 140 rural residents and 310 urban residents to find out if they recycle.
180 urban residents respond that yes, they recycle. 130 do not. 40
rural residents recycle, and 100 do not.
a) Construct an expected frequencies crosstab, based on the sample size and the
statewide recycling rate.
b) Construct an observed frequencies crosstab, based on your actual data.
(NOTE for 1a and 16: Be sure to include both percentages and frequency values, in
Answer:
65
Step-by-step explanation:
The average length of a baby at birth is 19 inches long. There are 2.54 centimeters in 1 inch. What is the average length of a baby at birth in centimeters.
Answer:
16.46 I don't know
Step-by-step explanation:
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
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
Part A
As the company has increased in popularity, it has continued to add employees in all departments. The production facility manager has provided data that shows the relationship between the number of units produced in an hour and the number of workers on the production line during that hour. The data is shown in the table.
Question 1: What type of function would be model the data?
Question 3: Use the graphing tool and best fit function of the tool to write a function that models the data. Round coefficients and constants to the nearest hundredth.
Question 4: Produce about 2300 fidget spinners every hour. How many workers should Marco recommend. Show your work.
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Answer:
1. a linear model
3. y = 24.97x +417.59
4. 75 workers
Step-by-step explanation:
1. A graph of the data seems to show it nearly follows a straight line. We have used a linear function to model the data.
3. The linear regression model is ...
y = 24.97x +417.59
4. The graphing calculator shows the point (x, y) ≈ (75.4, 2300) is on the line of best fit. Marco should recommend 75 workers for production of 2300 units per hour.
If you want to solve the linear equation ...
2300 = 24.97x +417.59
you get ...
x = (2300 -417.59)/24.97 ≈ 75.4
About 75 workers are needed.
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 250% of 5
please help
Answer:
12.5
Step-by-step explanation:
You can read this problem as ...
2.5 × 5 = 12.5
__
You can think of % as meaning /100. You can think of "of" as meaning "times". Then the expression
250% of 5
can be thought of as ...
250/100 × 5
= 1250/100 = 12.5
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
weekand homework and i need help
Answer:
C. 54
Step-by-step explanation:
36/60=.6
90*.6=54
Answer:
1 got C.
60/36=1.66666667
60/(5/3)=36
90/(5/3)=54
PLZZZ HELP MEEEeeeeeeeeeeeeeeeeeee
Answer:
I am a professional, worry not
-1.6 < -1.55 < -0.4 < 1.35 < 1.7
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?
WILL GIVE BRAINLIEST!!
Which graph shows the following system of equations and it’s solution?
{ -2x -y = -5
{ 2x - 3y = 1
Answer:
Step-by-step explanation:
These two lines will intersect at (-4, -3). The top equation will have a slope of 1/4 and the bottom one a slope of 7/4.
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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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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Monday evening, the jar of M & M's© is full. Tuesday, 1 8 of the M & M's are eaten. Wednesday, 1 3 of the M & M's that remained disappeared. Thursday morning, first thing, the jar had 42 M & M's remaining. How many M & M's were in the jar on Monday evening? M & M's
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Answer:
72 M&Ms
Step-by-step explanation:
We understand the problem to say ...
Monday the jar was fullTuesday the jar was 7/8 full (1/8 gone)Wednesday, the jar was (7/8)(2/3) = 7/12 fullThat 7/12 full condition corresponds to 42 M&Ms being present.
42 = 7/12·full
full = 42(12/7) = 72
There were 72 M&Ms in the jar on Monday evening.
_____
Check
1/8 of 72 = 9 were eaten Tuesday
1/3 of the remaining 63 disappeared on Wednesday. That number is 21, so 63-21 = 42 remained after Wednesday. That is the number seen early Thursday.
There were 72 M & M's in the jar on Monday evening
How to determine the number of M & M's?Let the initial number be x.
When 1/8 of the M & M were eaten on Tuesday, the remaining proportion is:
Remaining = (1 - 1/8) * x
This gives
Remaining = 7x/8
When 1/3 of the M & M disappeared on Wednesday, the remaining proportion is:
Remaining = (1 - 1/3) * 7x/8
This gives
Remaining = 7x/12
On Thursday, the remaining number of M & M is 42.
This means that:
7x/12 = 42
Divide both sides by 7
x/12 = 6
Multiply both sides by 6
x = 72
Hence, there were 72 M & M's in the jar on Monday evening
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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.
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.
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]
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?
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
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
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
Find the volume of the following prism.
Answer:
[tex]4860[/tex] cubic units
Step-by-step explanation:
First, we use the formula of the triangle prism to solve the question
[tex]v=\frac{1}{2}b*h*l[/tex]
[tex]v=\frac{1}{2} 18*12*45[/tex]
[tex]v=4860 cm^{3}[/tex]
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]
