The balance of power between Congress and the president has been shifted by what events and legislation?

A flywheel (I = 50 kg-m²) starting from rest acquires an angular velocity of 200.0 rad/s while subject to a constant torque from a motor for 5 s. (a) What is the angular acceleration of the flywheel? (b) What is the magnitude of the torque?

This exercise is based on the following data showing the amount of ozone-damaging Freon (in tons) produced in developing countries in year t since 2000:

$$\begin{matrix} \text{t (Year Since 2000)} & \text{F (Tons of Freon 22)}\\ \text{0} & \text{100}\\ \text{2} & \text{140}\\ \text{4} & \text{200}\\ \text{6} & \text{270}\\ \text{8} & \text{400}\\ \text{10} & \text{590}\\ \end{matrix}$$

Which two of the following models best fit the given data? (A) $f(t)=98\left(1.2^{t}\right)$, (B) $f(t)=4.6 t^{2}+1.2 t+109$, (C) $f(t)=47 t+48$, (D) $f(t)=98\left(1.2^{-t}\right)$. b. Of the two models you chose in part (a), which predicts the larger amount of freon in 2020? How much freon does that model predict?

Select a president from any time period in U.S. history and conduct research on how that particular president asserted presidential authority and power. Consider how that president used executive,diplomatic, military, legislative, judicial, and informal powers while in office. Use your research to write a short biography of that president. Be sure to discuss the ways your president exercised each of the powers of the presidency. Then createa bar graph that illustrates the six areas of presidential power. Rate on a scale of 1 to 5 (5 being the highest rating and 1 being the lowest) how you think that particular president executed presidential power in each area. Share your graph results with the class, using examples from your biography. Be prepared to support your conclusions.

The power and responsibilities of the president have grown and changed a great deal since 1790. Today some people consider the president to be among the most powerful people in the world. This power is not something that should be taken lightly or abused. Do presidents today have too much power? Should there be greater limitations placed on presidential power? Write a short essay in which you develop your position on this issue. Support your point of view with reasoning and examples from your reading and studies.

Which of the presidential roles do you think is the most important? Explain your answer.

Explain divided government and how it could cause partisan gridlock.

Suppose that we are interested in testing the simple null hypothesis

$$H _ { 0 } : \theta = \theta _ { 0 }$$

versus the simple alternative hypothesis

$$H _ { a } : \theta = \theta _ { a }$$

. According to the Neyman–Pearson lemma, the test that maximizes the power at

$$\theta _ { a }$$

has a rejection region determined by

$$\frac { L \left( \theta _ { 0 } \right) } { L \left( \theta _ { a } \right) } < k$$

. In the context of a likelihood ratio test, if we are interested in the simple

$$H _ { 0 } \text { and } H _ { a }$$

, as stated then

$$\Omega _ { 0 } = \left\{ \theta _ { 0 } \right\} , \Omega _ { a } = \left\{ \theta _ { a } \right\} , \text { and } \Omega = \left\{ \theta _ { 0 } , \theta _ { a } \right\}$$

. Show that the likelihood ratio

$$\lambda$$

is given by

$$\lambda = \frac { L \left( \theta _ { 0 } \right) } { \max \left\{ L \left( \theta _ { 0 } \right) , L \left( \theta _ { a } \right) \right\} } = \frac { 1 } { \max \left\{ 1 , \frac { L \left( \theta _ { a } \right) } { L \left( \theta _ { 0 } \right) } \right\} }$$

.

An abc-sequence set of voltages feeds a balanced three-phase wye–wye system. The line and load impedances are $1+j 1 \Omega$ and $10+j 10 \Omega$, respectively. If the load voltage on the a phase is $\mathbf{V}_{A N}=110 \sqrt{30^{\circ}} \mathrm{V}$ rms, determine the line voltages of the input.

The function $y=0.4409 x^{2}-5.1724 x+99.0321$ models the emissions of carbon monoxide in the United States since 1987, where y represents the amount of carbon monoxide released in a year in millions of tons, and x = 0 represents the year 1987. How can you use the Quadratic Formula to estimate the year in which more than 100 million tons of carbon monoxide were released into the air?

Is -578 a term in the sequence defined by t(n)=-5n+7? Justify your answer.

The Constitution's "necessary and proper" clause implies what about the powers of Congress?

For each pair of terms, explain how the meanings of the terms differ. amplexus and metamorphosis

Use the angle-conversion capabilities of a graphing utility to convert the angle measure to decimal degree form. Round your answer to three decimal places, if necessary. $-124^{\circ} 30^{\prime}$