Answer:
[tex]\\\\\large \textsf{Mass of polonium = $\frac{1}{16}$ original mass after 4 half lives}\\\\\large \textsf{ = 408 years}[/tex]
Explanation:
If a radioactive substance keeps halving its original mass every 102 years, i.e, its half life, then:
[tex]\bullet \large \textsf{ mass$_{\,1}$ = $\sf \frac{1}{2}$ original mass}\\\bullet \large \textsf{ mass$_{\,2}$ = $\sf \frac {1}{2}\times$mass$_{\,1} = \frac{1}{4}$ original mass}\\\bullet \large \textsf{ mass$_{\,3}$ = $\sf \frac {1}{2}\times$mass$_{\,2} = \frac{1}{8}$ original mass}\\\bullet \large \textsf{ mass$_{\,4}$ = $\sf \frac {1}{2}\times$mass$_{\,3} = \frac{1}{16}$ original mass}\\[/tex]
[tex]\boxed{\boxed{\large \textsf{$\therefore$ mass of polonium = $\frac{1}{16}$ original mass after 4 half lives = 408 years}}}[/tex]
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In what way was chinas cultural revolution a challenge to an established power or status quo in the Cold War? How and why did they come to power?
China's Cultural Revolution was a challenge to the established power and status quo of the Cold War because it aimed to overthrow the existing political and social order in China. The revolution was launched by Mao Zedong, the leader of the Chinese Communist Party, who sought to purge perceived capitalist and traditionalist elements from Chinese society and create a new socialist order. This included targeting intellectuals, party officials, and anyone suspected of opposing Mao's ideas.
The Cultural Revolution was a response to Mao's belief that the Chinese Communist Party was becoming too bureaucratic and had lost its revolutionary spirit. Mao felt that the party needed to be reinvigorated and that the revolution needed to be taken directly to the people. By mobilizing young people in the form of the Red Guards, Mao was able to launch a massive campaign of political indoctrination and cultural reform.
The revolution was a challenge to the status quo of the Cold War because it represented an alternative model of socialism to the Soviet model. Mao believed that the Soviet model was too bureaucratic and authoritarian and that the Chinese Communist Party needed to forge its own path. By launching the Cultural Revolution, Mao was able to demonstrate the power of the masses and the importance of ideological purity in the revolutionary struggle.
In terms of how and why Mao and the Chinese Communist Party came to power, it was the result of a long and tumultuous period of Chinese history. After the fall of the Qing Dynasty in 1911, China experienced a period of political fragmentation and foreign domination. The Chinese Communist Party was founded in 1921, and after a long struggle against the Nationalist Party, led by Chiang Kai-shek, the Communists were able to come to power in 1949.
Mao's leadership was crucial in this process, as he was able to rally the masses behind the Communist cause and provide a vision of a new China. Mao's ideas about socialism with Chinese characteristics and the importance of constant revolution were central to the success of the Chinese Communist Party in coming to power. However, Mao's later policies, such as the Great Leap Forward and the Cultural Revolution, proved to be disastrous for China and ultimately led to his downfall.
How is the Euler's line of a triangle related to calculus
The Euler line of a triangle is a lines feature of the trio namely not straightforwardly had connection with calculus.
What is the line of triangle?It is flattery that passes through various main points of a trio, containing the centroid (the point of balance), the orthocenter (the crossroads of the altitudes), and the circumcenter (the center of the circumscribed circle).
However, the study of arithmetic and arithmetic, that are approximately had connection with the properties of triangles and the Euler line, maybe had connection with arithmetic not completely.
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can someone explain how to do this
The y-coordinate of point P is approximately 11.609.
The speed at time t = 2 is approximately 12.163.
How to find the coordinates(a) To find the y-coordinate of point P, we need to solve for y(2) using the given parametric equation:
y(2) = -ln(1 + (2 - 4)^2) = -ln(1 + 4) = -ln(5) ≈ -1.609
Now, using the initial position of the object (-13, 5), we can find the displacement of the object in the y-direction from time 0 to time 2:
Δy = y(2) - 5 ≈ -1.609 - 5 ≈ -6.609
Therefore, the y-coordinate of point P is:
y-coordinate of P = 5 + Δy ≈ 5 - 6.609 ≈ -1.609
y-coordinate of P = 5 + |Δy| ≈ 5 + 6.609 ≈ 11.609
Therefore, the y-coordinate of point P is approximately 11.609.
(b) To find the acceleration vector at time t = 2, we need to take the second derivative of the position vector with respect to time:
r''(t) = (-6t, 1/(1 + (t-4)^2) - 2/(1 + (t-4)^2)^2)
r''(2) = (-12, 0.0789)
So the acceleration vector at time t = 2 is approximately (-12, 0.0789).
To find the speed at time t = 2, we need to find the magnitude of the velocity vector at that time:
r'(t) = (12 - 6t, -1/(1 + (t-4)^2))
|r'(2)| = ✓((12 - 6(2))^2 + (-1/(1 + (2-4)^2))^2) ≈ 12.163
Therefore, the speed at time t = 2 is approximately 12.163.
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Recently, business headlines have highlighted the drop in oil prices due to high production in states like Texas, North Dakota, Oklahoma, etc. What do you think will be the economic impact on oil prices if the Organization of Petroleum Exporting Counties (OPEC) reduced or cut back production?
If OPEC reduced or cut back production, it is likely that oil prices would increase due to a decrease in global supply. '
What will be the impact?This could have both positive and negative economic impacts. On one hand, it would benefit oil-exporting countries by increasing their revenue and potentially stimulating their economies.
On the other hand, it could lead to higher fuel costs for consumers and businesses, potentially resulting in decreased spending in other areas of the economy. Overall, the impact would depend on the extent of the production cuts and the global demand for oil.
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At Westville High School there are 315 seniors and 389 juniors. 65% of the seniors have parking
passes and 42% of the juniors have parking passes. The statistics teacher selects a SRS of 30
seniors and a separate SRS of 30 juniors. Let p hat s - p hat j , be the difference in the sample
proportions of
seniors and juniors that have parking passes.
a. What is the shape of the sampling distribution of p hat s - p hat j? Why?
b. Find the mean of the sampling distribution.
c. Calculate and interpret the standard deviation of the sampling distribution.
d. What is the probability that the difference in sample proportions (senior - junior) of students
with parking passes is greater than 30%?
Answer:
Explanation:c=5
how can poltical parties can influence political ideology and beliefs
There are various ways in which political parties can influence political ideologies and beliefs through massive campaigning, advertisements, organizing rallies, increasing reach on different social media platforms, etc.
Political ideologies and beliefs refer to a set of values and principles that a particular party abides by. These ideologies represent a different governance, economy, and social welfare approach.
These ideologies and beliefs can be promoted among party members and supporters through respective party forums. It can be promoted among the wider public by organizing big rallies, door-to-door campaigns, speeches, and debates on various topics.
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Regina struggles with reading long passages and feels like no matter how hard she tries she will not understand them, so she skips through reading passages on her tests. This is an example of aversive conditioning vicarious learning learned helplessness avoidance learning reinforcement
The example of Regina struggles with reading and her unwillingness to study further can be described as that of: learned helplessness.
What is Learned Helplessness?Learned helplessness can be defined as a phenomenon which describes a scenario whereby an individual feels that the action they have taken will not lead to a desirable outcome, thereby discouraging them from trying to make more efforts.
In the scenario cited, it depicts Regina's struggles and her unwillingness to further study as the phenomenon described as: learned helplessness.
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Because of the potentially sensitive and personal nature of the data that is stored in Sarah's database,
which of the following factors does she NOT need to be concerned with, from a security standpoint?
a. The database should not be publicly available and should only be accessed by an authorized
user (i.e. Sarah) using a secure username and password interface.
b. The database should not store any sensitive or personal information that Sarah does not
actually need in order to schedule a job (i.e. parents' political affiliations, previous addresses,
etc.).
If parents provide only partial information when reserving a babysitting job (e.g., they do not
enter data for one or more of the items stored in the database), the entire database record will be
insecure and vulnerable to attackers.
d. The information stored in the database should be encrypted so that any unauthorized individual
(i.e. anyone other than Sarah) cannot read the data.
Option b. The database should not store any sensitive or personal information that Sarah does not actually need in order to schedule a job (i.e. parents' political affiliations, previous addresses, etc.).
What is the database about?If parents provide only partial information when reserving a babysitting job (e.g., they do not enter data for one or more of the items stored in the database), the entire database record will be insecure and vulnerable to attackers.
This is not a concern from a security standpoint because Sarah should not be storing any sensitive or personal information in the database that she does not actually need for scheduling a babysitting job. Storing unnecessary data increases the risk of potential data breaches or unauthorized access, and it is generally recommended to only collect and store the minimum amount of data required for the intended purpose.
The other factors mentioned in options a, c, and d are all valid security concerns that Sarah should consider when managing the database.
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