Answer:
The velocity is 7.0m/s
Explanation:
Given
[tex]mass (m) = 1kg[/tex]
[tex]height (h) = 2.5m[/tex]
[tex]g = 9.8m/s^2[/tex]
Required
The bottom of the plane velocity
To do this, we apply the work-energy theorem which states that the energy at the highest point and at the lowest point are equal.
At the highest point
[tex]v = 0[/tex]
[tex]E = \frac{1}{2}mv^2 + mgh[/tex]
[tex]E = \frac{1}{2}*1*0^2+ 1 * 9.8 * 2.5[/tex]
[tex]E = 0 + 24.5[/tex]
[tex]E = 24.5[/tex]
At the lowest point
[tex]h = 0[/tex]
[tex]E = \frac{1}{2}mv^2 + mgh[/tex]
[tex]E = \frac{1}{2} * 1 * v^2 + mg(0)[/tex]
[tex]E = \frac{1}{2} * 1 * v^2 + 0[/tex]
[tex]E = \frac{v^2}{2}[/tex]
Equate both values of energy
[tex]24.5 = \frac{v^2}{2}[/tex]
[tex]v^2 = 2 * 24.5[/tex]
[tex]v^2 = 49[/tex]
Take square roots of both sides
[tex]v = 7[/tex]
The velocity is 7.0m/s
Which statement best characterizes power relations among the centers of Eurasian civilizations as they approached the year 1450?
a. Islamic caliphates are reaching the height of their power and influence
b. Ming rulers of China have redoubled their efforts to move to the center of maritime trading networks in the East Asian and Indian Ocean
c. A power vacuum of sorts has opened, as Byzantine, Abbasid, and Ming Chinese powers become less of a force in global affairs
d. Western Europe dominates world trade
e. South and East Asia are no longer important sources of luxury items in long-distance trade networks and become increasingly isolated
Answer:
C. a power vacuum of sorts has opened, as Byzantine, Abbasid, and Ming Chinese powers become less of a force in global affairs.
When evaluating an argument, one should always take into consideration the existence and merit of any unstated premises. t or f
Answer:
True.
Explanation:
An argumentative writing can be defined as an expression of a writer's position (stance) on a subject matter or topic.
A claim can be defined as a statement that is used by a writer to prove, substantiate or support an argument.
Thus, a claim is an assertive statement expressed by a writer to prove that an argument is true or real.
This ultimately implies that, when writers engage in an argument or write an argumentative essay, they make use of a claim to state or express their opinions about the subject matter or topic.
All arguments generally have an unstated premise and as such when evaluating an argument, one should always take into consideration the existence and merit of any unstated premises. Premises connotes claims that fundamentally serves as a reason in an argument.
Question 7 of 10
Which of the following is not true of the presiding officer of the Senate?
O A. The president pro tempore is usually the presiding officer of the
Senate; this is predominantly a ceremonial role.
O B. The president pro tempore is usually the presiding officer of the
Senate and is usually the member of the majority party with the
longest continuous term of service.
C. The presiding officer has powers similar to those of the Speaker
of the House.
D. The vice president of the United States is the presiding officer of
the Senate
E. The presiding officer of the Senate frequently allows junior
senators to take turns presiding over sessions of the Senate.
Answer:
E. The presiding officer of the Senate frequently allows junior senators to take turns presiding over sessions of the Senate.
Explanation:
The presiding officer of the Senate is the Vice President whose role is usually ceremonial as he has very little to do and is most usually a member of the majority party.
However, the statement that is not true about him is that the presiding officer of the Senate frequently allows junior senators to take turns presiding over sessions of the Senate
A researcher wants to determine whether there is a relationship between age and frequency of travel. In a random sample of 18- to 25-year-olds, 70 of 195 traveled more than twice each year. In a random sample of 55- to 62-year-olds, 205 of 230 traveled more than twice each year. What is the margin of error for a 98% confidence interval for the difference between the proportions of travelers in these age groups who travel more than twice each year?
1.3180
0.5656
0.0931
0.0400
0.0016
Answer:
C. 0.0931
Explanation:
The margin of error for a 98% confidence interval for the difference between the proportions of travelers in these age groups who travel more than twice each year is 0.0931.
What is margin of error?Margin of error is defined as the level of error in survey findings that were chosen at random. Your results will vary from the actual population value by how many percentage points, as indicated by the margin of error. In statistics, the margin of error is the level of inaccuracy in the findings of surveys using random samples.
If your statistic has a 95% confidence interval and a 4% margin of error, it will often be within 4% of the true population value and if it is 98% and a 5 % margin of error is occurred according to this the answer is 0.0931.
Thus, the margin of error for a 98% confidence interval for the difference between the proportions of travelers in these age groups who travel more than twice each year is 0.0931.
To learn more about margin of error, refer to the link below:
https://brainly.com/question/10501147
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What is the central idea of the article Elephants Attack as Humans Turn Up the Pressure?
a) Scientists are developing new ways to prevent elephants from attacking humans and ruining their crops.
b) The number of elephant attacks against humans has been rising in both Asia and Africa.
c) Researchers think that stresses created by humans are the reason behind increasing numbers of elephant attacks.
d) Elephants react differently to pressures from humans than they do to competition from other elephants.
Answer: c) Researchers think that stresses created by humans are the reason behind increasing numbers of elephant attacks.
Explanation:
The aforementioned article by National Geographic shows that the higher number of elephant attacks on humans are as a result of human activities that are placing stress on elephants.
Humans are increasing in population and as a result need more land for farming. This is resulting in a shrinking habitat for elephants who then encroach on human farms and are killed for it which leads to some elephants having Post Traumatic Stress Disorder and killing other humans which then continues the cycle.