The Euler line of a triangle and calculus are distinct areas of mathematics that are not directly connected to each other.
How is the Euler line of a triangle connected to calculusThe Euler line of a triangle is a geometric property that is not directly connected to calculus. The Euler line is a line that passes through several important points in a triangle, namely the orthocenter, centroid, and circumcenter. These points and the Euler line can be studied and analyzed using geometry and trigonometry.
Calculus, on the other hand, is a branch of mathematics that deals with the concepts of limits, derivatives, and integrals. It is primarily concerned with analyzing functions and their rates of change. While calculus can be used to study geometric properties and relationships, such as slopes and rates of change, it is not specifically used to study the Euler line of a triangle.
In summary, the Euler line of a triangle and calculus are distinct areas of mathematics that are not directly connected to each other.
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In her 1962 Book of Common Sense Etiquette, former first lady Eleanor Roosevelt wrote, “True patriotism springs from a belief in the dignity of the individual, freedom and equality not only for Americans but for all people on earth, universal brotherhood and good will, and a constant striving toward the principles and ideals on which this country was founded.”
Write an essay that argues your position on the extent to which Roosevelt’s claim about patriotism is valid.
AP ENGLISH 3 NEED ASAP
It is a valid assertion made by Eleanor Roosevelt that genuine love and loyalty towards one's nation originates from acknowledging the importance of values such as freedom, respect for individuality, universal brotherhood, equality, and adherence to founding principles.
What is authentic patriotism?Authentic patriotism should not be confined within the bounds of blind adulation but must strive to advocate social justice, equal treatment, and liberty to all individuals regardless of their backgrounds.
A true patriot will address the obstacles and weaknesses within their society, endeavoring steadily to enhance its quality while acknowledging the mutual human bond linking every person globally.
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The fictional country Industria is tracking its population data. In 1855, the first year vital statistics were reported for the country, the population was 1.6 million, with a crude birth rate of 43 per 1,000. At that time the population of Industria was growing quite slowly, because of the high death rate of 41 per 1,000. In 1875 the population began to grow very rapidly as the birth rate remained at the 1855 level. While the crude death rate dropped dramatically to 20 per 1,000. Population growth continued to increase in the small country into the late 1800's, even though birth rates began to decline slowly.
In 1895 the crude birth rate had dropped to 37, and the crude death rate to 12 per 1;000. A complete census was also conducted and revealed that the population of Industria had grown to 2.5 million. By 1950 population growth gradually began to decline as the death rate remained at its 1895 level, while the birth rate continued to decline to 22 per 1,000. In 1977 vital statistics revealed that the death rate was 10 per 1,000, and that population growth had slowed even more to an annual rate of 0.4%. By 1990 Industria had reduced its birth rate to that of its now constant, low death rate, and the population transition was complete.
(a) Calculate the annual growth rate of Industria in 1950.
(b) Caleulate the birth rate in Industria in 1977.
(c) Assume the population of Industria continues to maintain the population growth rate recorded for the country in 1895. Determine the year in which the expected size of the population will have quadrupled.
a) Note that the annual growth rate in 1950 is 1%
b) the birth rate in 1977 is 14/ 1000
c) the yeaer in which the population size will quadrupled is 1981.
How is this so?a) Net annual growth rate = (birth rate - death rate) / 10
Net annual growth rate = (22 - 12) / 10 = 1%
b) Net annual growth rate = (birth rate - death rate) / 10
Birth rate = 0.4 x 10 + 10 = 14 per 1,000
c) Number of years = log(P4/P0) / log(1 + net annual growth rate)
Substituting the values given, we get:
Number of years = log(10/2.5) / log(1 + 0.015) = 86.8 years
Therefore, the year in which the expected size of the population will have quadrupled is 1895 + 86.8 = 1981.
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19. Nearly half of the world's population is at risk of malaria, a disease spread by parasites in
mosquitoes. According to the World Health Organization (WHO), 4/100 people will contract the
disease in India. In Sierra Leone, 76/100 will contract the disease. How many times more likely are
you to contract the disease living in Sierra Leone compared to India?
Answer:
You are 19 times more likely to catch it in Sierra Lone then India
Explanation:
76 divided by 4 is 19.
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West Fremont is a community consisting of 3,000 homes. A small coal-burning power plant currently supplies electricity for the town. The capacity of the power plant is 12 megawatts (MW) and the average household consumes 8,000 kilowatt hours (kWh) of electrical energy each year. The price paid to the electric utility by West Fremont residents for the energy is $0. 10 per kWh. The town leaders are considering a plan, the West Fremont Wind Project (WFWP), to generate their own electricity using 10 wind turbines that would be located on the wooded ridges surrounding the town. Each wind turbine would have a capacity of 1.2 MW and each would cost the town $3 million to purchase, finance, and operate for 25 years.
(c) Assuming that the electrical energy needs of the community do not change during the 25-year lifetime of the wind turbines, what would be the cost to the community of the electricity supplied by the WWP over 25 years? Express your answer in dollars/kWh.
Answer:
$0.01/kWh.
Explanation:
First, we need to calculate the total energy needed by the community over 25 years:
Total energy needed = (8,000 kWh/year) x (3,000 homes) x (25 years) = 6,000,000,000 kWh
Next, we need to calculate the total capacity of the wind turbines needed to generate this energy:
Total capacity needed = (6,000,000,000 kWh) / (8,760 hours/year) / (25 years) = 24 MW
Since each wind turbine has a capacity of 1.2 MW, we need a total of 20 wind turbines:
Number of wind turbines = (24 MW) / (1.2 MW/turbine) = 20 turbines
The cost of purchasing, financing, and operating 20 wind turbines for 25 years is:
Total cost = (20 turbines) x ($3 million/turbine) = $60 million
To find the cost per kWh, we divide the total cost by the total energy generated:
Cost per kWh = ($60 million) / (6,000,000,000 kWh) = $0.01/kWh
Therefore, the cost to the community of the electricity supplied by the WFWP over 25 years would be $0.01/kWh.
60. Throughout the first half of the twentieth century, migration patterns in the United States were
primarily
a. rural to suburban.
b. rural to urban.
c. suburban to urban.
d. urban to rural.
e, urban to suburban.
Throughout the first half of the twentieth century, migration patterns in the United States were primarily rural to urban. The correct option is b.
What is migration pattern?Migration pattern refers to the movement of people from one place to another over a period of time, usually involving a change in their place of residence.
This period saw significant rural-to-urban migration as people left rural areas to seek job opportunities and a better standard of living in cities.
This was driven by factors such as the growth of manufacturing and industrialization in urban areas, the availability of higher-paying jobs, and improvements in transportation that made it easier to move from rural areas to cities.
This pattern of migration contributed to the growth of major cities and urbanization in the United States.
Thus, the correct option is b.
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PLEASE PLEASE HELP ME. WILL GOVE BRAINLIEST! THIS IS FOR AN AP ESSAY AND I NEED SPECIFIC EXAMPLES OF RHETORICAL CHOICES IN THE TEXT THAT CONNECT HER JOURNEY TO SENSE OF SELF.
Prompt: Arvisa Alvord was born in 1958 on a Navajo reservation adjacent to New Mexico. After earning a BA from Dartmouth College and an MD from Stanford UniversityAlvord became the first Diné, or Navajo, woman to become board certified in surgeryHer autobiography, The Sca and the Silver Bear, describes her personal , educational, and cultural journey between two worlds: that of her Navajo heritage and that of the mainstream US. Read the following excerpt from her autobiography and analyze the rhetorical choices Alvord makes to develop the connection between this journey and her sense of identity and self.
In this passage, Arvisa Alvord uses various rhetorical choices to develop the connection between her journey and her sense of identity and self. Here are some examples:
Double Major and Native American Studies: Alvord's choice of a double major in psychology and sociology, modified with Native American studies, is a reflection of her sense of being torn between two worlds. This choice shows how she was trying to integrate her Navajo heritage with mainstream US education. It also shows her desire to learn more about her culture and perhaps teach others about it.
What is the autobiography about?Others are:
Imagery and Metaphors: Alvord uses vivid imagery and metaphors to describe the Native American student group at Dartmouth. For example, she compares the students to "skittish wild horses" and describes their experiences as feeling "disconnected from the mainstream student body." These metaphors create a sense of tension and struggle that reinforces the idea that Alvord was torn between two worlds.
Historical Context: Alvord uses historical context to underscore the significance of her journey. She points out that Dartmouth College was founded with the intention of "educating the savages," yet it took hundreds of years for Native American students to be accepted and welcomed. This historical context highlights the challenges that Alvord faced in her journey and also reinforces the idea that her sense of identity was shaped by the struggle of her people.
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