The estimated number of people infected two weeks after the start of registration in the city experiencing a virus outbreak can be calculated using the logistic growth model.
The logistic growth model is used to describe a quantity that exhibits exponential growth but eventually reaches an upper limit. In this case, the quantity represents the number of infected people in the city.
The logistic growth model is given by the equation dN/dt = kN(M - N/M), where N(t) represents the number of infected people at time t, M is the upper limit (the total population of the city), k is a constant, and dN/dt represents the rate of change of infected individuals over time.
Given that the city has a population of 100,000 and 500 people were initially infected, we can use this information to estimate the growth of the virus outbreak. After one week, the number of infected individuals increased to 1000.
To calculate the estimated number of people infected two weeks after the start of registration, we need to determine the constant k. This can be done by using the initial data to solve for k in the logistic growth equation. Once we have the value of k, we can plug it into the equation to find the estimated number of infected individuals at the desired time, which in this case is two weeks after the start of registration.
By applying the logistic growth model and the given initial data, we can estimate the number of people infected two weeks after the start of registration in the city.
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Given that 1 inch = 2.54 cm, how many centimeters are there in 7 feet? Answers may be written using decimals form and should be rounded to the nearest hundredth when necessary
Answer:
There are 213.36 centimeters in 7 feet.
Step-by-step explanation:
It is given that:
1 inch = 2.54 cm
We have to find centimeters in 7 feet.
We will convert feet to inches.
1 feet = 12 inches
7 feet = 12*7 = 84 inches
Now,
1 inch = 2.54 cm
84 inches = 2.54 * 84
84 inches = 213.36 cm
Therefore,
There are 213.36 centimeters in 7 feet.
If p(x) = 2x 3 +ax 2 -7x+b and we want p(1)=3 and p(2) = 19. What should be a and b?
Answer:
a and b should be a = 3 and b = 5
Step-by-step explanation:
We will make aa system of equations to find a and b
∵ p(x) = 2x³ + ax² - 7x + b
∵ p(1) = 3
→ That means substitute x by 1 and p(x) by 3
∵ 3 = 2(1)³ + a(1)² - 7(1) + b
∴ 3 = 2 + a - 7 + b
→ Add the like terms in the right side
∵ 3 = a + b + (2 - 7)
∴ 3 = a + b + (-5)
∴ 3 = a + b - 5
→ Add 5 to both sides
∴ 3 + 5 = a + b - 5 + 5
∴ 8 = a + b
→ Switch the two sides
∴ a + b = 8 ⇒ (1)
∵ p(2) = 19
→ That means substitute x by 2 and p(x) by 19
∵ 19 = 2(2)³ + a(2)² - 7(2) + b
∴ 19 = 2(8) + a(4) - 14 + b
∴ 19 = 16 + 4a - 14 + b
→ Add the like terms in the right side
∵ 19 = 4a + b + (16 - 14)
∴ 19 = 4a + b + (2)
∴ 19 = 4a + b + 2
→ Subtract 2 both sides
∴ 19 - 2 = 4a + b + 2 - 2
∴ 17 = 4a + b
→ Switch the two sides
∴ 4a + b = 17 ⇒ (2)
Now we have a system of equations to solve it
→ Subtract equation (1) from equation (2)
∵ (4a - a) + (b - b) = (17 - 8)
∴ 3a + 0 = 9
∴ 3a = 9
→ Divide both sides by 3
∴ a = 3
→ Substitute the value of a in equation (1) to find b
∵ 3 + b = 8
→ Subtract 3 from both sides
∴ 3 - 3 + b = 8 - 3
∴ b = 5
∴ a and b should be a = 3 and b = 5
if an arugmetn is invalid, then whever the premises are all false, the conlucison must also be flase
An argument can be invalid even if the premises are true and the conclusion is false.This statement is actually false.
Invalidity refers to the structure of the argument, not the truth value of the premises or conclusion. An invalid argument fails to establish the truth of its conclusion even if its premises are true. In contrast, a valid argument guarantees that the conclusion follows from the premises, regardless of the truth or falsity of the premises. Therefore, an argument can be valid with false premises, and an argument can be invalid with true premises.
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Conclude that there is no guarantee that the conclusion will be false when all the premises are false in an invalid
argument.
If an argument is invalid, then whenever the premises are all false, the conclusion must also be false.
An invalid argument is one where the conclusion does not necessarily follow from the premises, even if the premises
are all true.
In other words, it is possible for the premises to be true, but the conclusion to be false. However, in the scenario you
described, all the premises are false. In an invalid argument, there is no guarantee that the conclusion will also be false.
Identify the argument as invalid.
Recognize that all the premises are false.
Understand that in an invalid argument, the conclusion does not necessarily follow from the premises.
Conclude that there is no guarantee that the conclusion will be false when all the premises are false in an invalid
argument.
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Even when steinbeck knew he was dying, what project was he working on?
planning a trip
raising a puppy
planting a garden
building a house
Despite being aware of his impending death, John Steinbeck was engaged in a project to build a house.
During the final stages of his life, John Steinbeck, the renowned American author, was involved in a project to build a house. Despite the knowledge of his terminal condition, he focused his efforts on this endeavor. The act of building a house can be seen as a significant undertaking that requires planning, coordination, and dedication.
While specific details about the house project are not provided, it can be inferred that Steinbeck's involvement in this venture reflected his enduring spirit and determination, even in the face of his impending mortality. Building a house is a symbol of creation, stability, and leaving a lasting legacy. It is a testament to Steinbeck's unwavering passion for life and his commitment to pursue meaningful endeavors until the very end.
Although Steinbeck's literary contributions are widely celebrated, his engagement in the house-building project during his final days showcases his multidimensional nature and his desire to leave a tangible mark on the world. It serves as a reminder of the resilience of the human spirit and the power of pursuing personal projects and dreams, even in challenging circumstances.
In conclusion, despite being aware of his impending death, John Steinbeck dedicated his time and energy to a project of building a house, showcasing his determination and commitment to leaving a lasting legacy.
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Question 7
1 pts
Dan has a conical lamp shade with an altitude of 6 inches and a diameter of 12
inches. How much material is needed to make the lampshade?
6 in.
1
--12 in.
there were 10000 people in the town in 2007. each year the population declines by 4%. what will the population be at 2017
The population of the town at 2017 will be 5598 people.
The population of the town declines by 4% each year, meaning that the population decreases by 0.04 times the current population each year.
In order to find the population in 2017, we need to calculate the population for each year from 2007 to 2017 and multiply by (1-0.04)
The population for 2017 is:
10000*(1-0.04)^10 = 5597.6, which can be approximated to be either 5597 or 5598.
It is important to note that this calculation is based on the assumption that the population decline of 4% per year is a constant rate, if this rate changes it will affect the final population.
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The line plot represents the wait time in line for a ride at a local fair.
A line plot titled Wait Time at the Fair. The horizontal line labeled Time in Minutes begins at 4, with every one unit labeled up to 10. There are 2 dots above 8. There are 3 dots above 5. There are 5 dots above 7. There are 6 dots above 6.
Which of the following best describes the shape of the data, and why?
The data is skewed and might mean that the wait times were lower than 5 minutes because the park was not busy.
The data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.
The data is symmetric and might mean that most rides had a wait of 6 to 7 minutes, which are the expected times for those rides.
The data is bimodal with peaks and might mean that the wait times were usually 5 or 7 minutes to ride, which is lower than the expected wait time for those rides.
The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.
The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.
Here's the explanation:
From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.
The distribution is not symmetric, as the data points are not evenly spread around a central value.
The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.
Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.
However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.
The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.
It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.
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Let A and B be the multisets {3 · a, 2 · b, 1 · c} and {2 · a, 3 · b, 4 · d}, respectively. Find
a) A ∪ B.
b) A ∩ B.
c) A − B.
d) B − A.
e) A + B.
For the multisets {3 · a, 2 · b, 1 · c} and {2 · a, 3 · b, 4 · d} the solutions are A ∪ B is {3 · a, 2 · b, 1 · c, 2 · a, 3 · b, 4 · d},A ∩ B is {2 · a, 2 · b},A − B is {1 · a, 0 · b, 1 · c} ,B − A is {0 · a, 1 · b, 4 · d} and A + B is {5 · a, 5 · b, 1 · c, 4 · d}.
We will use the given multisets A and B:
A = {3 · a, 2 · b, 1 · c}
B = {2 · a, 3 · b, 4 · d}
a) A ∪ B (union): This operation combines all elements of both multisets.
A ∪ B = {3 · a, 2 · b, 1 · c, 2 · a, 3 · b, 4 · d}
b) A ∩ B (intersection): This operation finds the common elements between both multisets.
A ∩ B = {2 · a, 2 · b} (as a and b are the common elements)
c) A − B (difference): This operation removes elements in B from A.
A − B = {1 · a, 0 · b, 1 · c}
d) B − A (difference): This operation removes elements in A from B.
B − A = {0 · a, 1 · b, 4 · d}
e) A + B (sum): This operation adds the counts of the elements in both multisets.
A + B = {5 · a, 5 · b, 1 · c, 4 · d}
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How many real roots does the following equation have?
x4 -81 = 0
Answer:
Find roots of x4−81=0 by solving for x. x=3,−3
Step-by-step explanation:
The given equation \(x^4\) - 81 = 0 has a total of two real roots x = 3 and
x = -3.
We have,
The given equation \(x^4\) - 81 = 0 can be factored as a difference of squares:
\((x^2)^2 - 9^2 = 0\\(x^2 - 9)(x^2 + 9) = 0\)
Further simplifying:
(x - 3)(x + 3)(x² + 9) = 0
From this factorization, the equation has two linear factors (x - 3) and
(x + 3) and one quadratic factor (x² + 9).
The linear factors, (x - 3) and (x + 3), will each provide one real root since they are linear equations.
x = 3 and x = -3.
The quadratic factor (x² + 9) has no real roots.
This is because the discriminant (b² - 4ac) of the quadratic equation is negative (a = 1, b = 0, c = 9), indicating that there are no real solutions.
Therefore,
The given equation \(x^4\) - 81 = 0 has a total of two real roots,
x = 3 and x = -3.
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A building that is 360 feet tall casts a shadow 90 feet long. What is the angle of elevation of the Sun? . The angle of elevation is ___ degrees. (Round to the nearest tenth as needed.)
Angle of elevation of the Sun is approximately 76.0 degrees when rounded to the nearest tenth
To find the angle of elevation of the Sun, you can use the tangent function.
Step 1: Identify the opposite side (building height) and the adjacent side (shadow length) in relation to the angle. In this case, the opposite side is 360 feet, and the adjacent side is 90 feet.
Step 2: Calculate the tangent of the angle. Tangent (angle) = opposite side / adjacent side = 360 / 90 = 4.
Step 3: Find the inverse tangent (arctangent) of the result from Step 2. Angle = arctan(4).
Step 4: Calculate the angle in degrees. Using a calculator, you get approximately 75.96 degrees.
So, the angle of elevation of the Sun is approximately 76.0 degrees when rounded to the nearest tenth.
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Solve for d.
10+ 3d = 16
d =
Answer:
d=2
Step-by-step explanation:
10+3d=16
3d=6
divide both sides by 3
d=2
Subtract 10 from both sides.
3d=16−10Subtract 10 from 16 to get 6.
3d=6Divide both sides by 3.
d = 6/3Divide 6 by 3 to get 2.
d=2when did u guys start anime? (If you watch it) me I started 2020~(I watched 7 animes by now i know very little but i can't really watch much cause im always busy)
Answer:
Okay I think you just want to know when I started watching anime. I started watching in 2016/2017.
Step-by-step explanation:
what expressions are equivalent to 12x-42 (choose all that apply)
6(2x-7)
3(4x-39)
2(6x-21)
-2(-6x-40)
4.8n + 3.2n simply the expression mathematics
Helppp fasttt! also always contains brainliest!
Answer:
Im pretty sure it's F
Step-by-step explanation:
Sorry if im wrong
Factorize a²+ b²-c²-d² - 2ab-2cd
Answer:
(a-b+c+d)(a-b-c-d) answer of the following questoin
Which of the following examples would constitute a discrete random variable?
I. Total number of points scored in a football game
II. Height of the ocean's tide at a given location
III. Number of near collisions of aircraft in a year
The examples that would constitute a discrete random variable are;
I. Total number of points scored in a football game
III. Number of near collisions of aircraft in a year
What is discrete random variable?A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.
A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.
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Out of the 50 colleges in a cer- tain state, 25 are private, 15 offer engineering majors, and 5 are private colleges offering engineering majors. Find the probability that a college selected at random from the state (a) offers an engineering major. (b) offers an engineering major, given that it is public. (c) is private, given that it offers an engineering major. (d) is public, given that it offers an engineering major.
The probability that a college selected at random from the state are (a) 3/10, b- 2/5, c- 1/2 and d- 1/10.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
Out of the 50 colleges in a certain state, 25 are private, 15 offer engineering majors and 5 are private colleges offering engineering majors.
The probability that a college selected at random from the state (a) offers an engineering major.
= 15 / 50
= 3/10
The probability that a college selected at random from the state (b) offers an engineering major, given that it is public.
= 20 /50
= 2/5
The probability that a college selected at random from the state (c) is private, given that it offers an engineering major.
= 25/50
= 1/2
The probability that a college selected at random from the state (d) is public, given that it offers an engineering major.
= 5/50
= 1/10
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Can someone show how to do this step by step with a graph?
Plot the lines and shade in the regions on the same x-y plane to find the solution to the system of inequalities 4x+6y ≤ 24 and x + 5y ≤ 10 fall under the mixed shaded region in the graph.
What is the linear inequalities?
Linear inequalities are mathematical expressions that describe a relationship between two variables that is linear in nature. The most common form of a linear inequality is of the form ax + by < c, where a, b, and c are constants and x and y are variables.
Yes, this system of two linear inequalities can be represented graphically on the x-y plane by plotting the solutions to each inequality. The steps are as follows:
Replace the equation with the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. For example, the first equation can be rearranged as:4x + 6y <= 24
=> -6y <= -4x + 24
=> y >= (4/6)x + 4
=> y = (4/6)x + 4
Plot the line corresponding to each equation. You can use the slope-intercept form of each equation to get the slope and y-intercept of each line, and then plot the line using the slope and y-intercept. For example, the line for the first equation is y = (4/6)x + 4, which is the graph of a line with slope 4/6 and y-intercept 4. The line for the second equation is y = (1/5)x + 2, which is the graph of a line with slope 1/5 and y-intercept 2.Determine the side of the line to shade in for each inequality. If the inequality is less than or equal to, shade in the region below the line. If the inequality is greater than or equal to, shade in the region above the line.The solution to the system of inequalities is the intersection of the shaded regions, which is the region where both inequalities are simultaneously satisfied. This represents the set of all possible (x, y) pairs that satisfy both equations.Plot the lines and shade in the regions on the same x-y plane to find the solution to the system of inequalities.To learn more about linear inequalities, Visit
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HELPP!!!!!!!!!!!!!!!!
Answer:
D.4 3/4
Step-by-step explanation:
hope it helps you
which one ? please help! I’ll mark brainliest!
Answer:
w ≥ 66
Step-by-step explanation:
You know that anything less than 66 would not cause any effect, so you need something that is exactly 66 or more than 66 for the airbag to deploy.
Thus, w ≥ 66
≥ means that w is more than or equal to 66. (66 and above)
< means that w is less than 66. (65 and below)
> means that w is more than 66. (67 and above)
≤ means that w is less than or equal to 66. (66 and below)
Answer:
w<66 is the answer i believe
a city planner is investigating traffic congestion at a certain intersection. to collect data, a camera will record the number of cars that pass through the intersection at different hours of the day and on different days of the week. which of the following best describes the type of investigation being conducted by the city planner? responses
In this case, the city planner is using a camera to record the number of cars passing through the intersection at different hours of the day and on different days of the week. This allows the planner to gather information on traffic patterns and congestion without directly influencing the traffic flow. The data collected will help the city planner identify trends and potential areas of improvement for traffic management and infrastructure planning.
The city planner is conducting a quantitative investigation using observational research methods. They are collecting numerical data through the use of a camera to record the number of cars that pass through the intersection at various times and days. This type of investigation involves the collection and analysis of data in a systematic and objective manner. The data collected will allow the city planner to identify patterns and trends in traffic congestion at the intersection, which can then be used to inform future decision-making and planning. Additionally, the use of observational research methods ensures that the data collected is reliable and unbiased, as it is based on direct observations of traffic flow rather than self-reported information from drivers or other subjective sources. Overall, the city planner's investigation is an important step in improving traffic flow and reducing congestion in the area.
The city planner's investigation can be best described as an observational study. In this type of investigation, the researcher collects data by observing and recording the occurrence of specific events or behaviors without interfering or manipulating the subjects or environment. In this case, the city planner is using a camera to record the number of cars passing through the intersection at different hours of the day and on different days of the week. This allows the planner to gather information on traffic patterns and congestion without directly influencing the traffic flow. The data collected will help the city planner identify trends and potential areas of improvement for traffic management and infrastructure planning.
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Triangle FGH is equilateral. The midpoints of the sides are connected to form triangle XYZ. Line segment XY is parallel to line segment FH.
Triangle F G H is an equilateral triangle. Equilateral triangle X Y Z is inside of triangle F G H and the points are the midpoints of triangle F G H.
What type of figure is quadrilateral FXYH?
Answer:
Isosceles trapezoid
Step-by-step explanation:
The figure will look like one large triangle on the outside and four smaller triangles on the inside. you are only concerned with the inside triangle that is pointing to the line FH. Since XY and FH are parallel and the distance between FX and YH are equivalent (the midpoints of each side should be the same for all three sides of the larger triangle) the shape FXYH is an isosceles trapezoid.
Answer:
trapezoid
Step-by-step explanation:
Please help Magan recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Based on these results, express the probability that a seventh grader chosen at
random will play the guitar as a fraction in simplest form?
Answer:
\(Probability = \frac{11}{40}\)
Step-by-step explanation:
Given
See attachment
Required
The probability that a 7th grader selected will play guitar.
From the attachment, we have:
\(7th\ graders =11+8+8+13\)
\(7th\ graders =40\)
7th graders that can play guitars are:
\(Guitars = 11\)
So, the probability is:
\(Probability = \frac{Guitars}{7th\ graders}\)
\(Probability = \frac{11}{40}\)
Mike travels 1/3 of mile in 1/8 of an hour. At this rate, how many miles can Mike travel in an hour? (Use RACE to answer)
Answer:
8/3 miles
Step-by-step explanation:
multipy 1/3 by 8 because its an eight of an hour
What number cannot be divided into 9 groups without a remainder?
Answer:
The answer is B) 432
Step-by-step explanation:
The 4 in 432 becomes a 3, because we can't subtract 6 from 3. The 3 becomes 13 and if we subtract 13 with 6... We get 7.
I got 0 with option B... With A I got 2 which is a remainder. With C I got 6.5 (repeating). And with D I got 7.77777777778.
Hence, B) 432 is the correct option.
Check screenshot of my work below.
(I forgot to include 48 on top of the division I just did. Don't mind that too much..)
A) 326
\( \frac{326}{9} \)
\( = 36.2222222222 \)
B) 432
\( \frac{432}{9} \)
\( = 48\)
C) 531
\( \frac{531}{9} \)
\( = 59\)
D) 630
\( \frac{630}{9} \)
\( = 70\)
so, the correct answer is option A.
What is one punch mans real name?
A. Mogi Hata
B. Saitama
C. One punch man
D. Jerihalomni
Answer:
It's saitama, I love one punch man so much lol
(4,-1), (-5,9) midpoint
Step-by-step explanation:
(-1/2, 4)
how's this helps
50 POINTS
You are looking at starting a summer business mowing lawns to get started. You already need to purchase some items investing in your business. You already have a lawnmower, but below are the items you still need to purchase.
what is the total amount you plan to invest in your lawn mowing business? [__]
1. You just determined how much you are willing to invest to get your summer job started. Write an inequality to represent when you start making a profit if you charge $15 to mow one lawn.
2. at the end of the summer, you have mowed a total of 16 lawns right in equation that represents your total earnings. How much did you earn? [Show your work]
with investment costs taken into account, did you:
a. lose money
b. make money
Regarding the situation described, it is found that:
The total amount invested is of $25.
1. You start making a profit when 15x - 25 > 0.
2. You earned $215 with this work.
With the investment, you made money (option b).
What is the total amount investment?The investment was as follows:
Pack of 50 lawn bags for $10.Eye protecting glasses for $15.Hence the total amount invested was of:
10 + 15 = $25.
What is the profit inequality?The profit is given by revenue subtracted by costs.
In the context of this problem, the revenue and the cost functions are given as follows:
Revenue: R(x) = 15x (as you charge $15 to mow one lawn).Cost: C(x) = 25. (investment).Hence the profit function is:
P(x) = R(x) - C(x)
P(x) = 15x - 25.
You start making a profit when:
P(x) > 0.
15x - 25 > 0.
The amount you earned mowing 16 lawns is of:
P(16) = 15(16) - 25 = $215.
(positive profit, hence you made money).
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what's an easy way to remember integers
Answer:
A Positive integer is located on the right side of a number line and an Negative integer is located on the left side of a number line.
Answer:
believe in yourself while revising
Step-by-step explanation: