Scientists are studying the temperature on a distant planet. Let \( y \) represent the temperature (in degrees Celsius). Let \( x \) represent the height above the surface (in kilometers). Suppose that \( x \) and \( y \) are related by the equation \( 46-3 x=y \). Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the temperature change for each kilometer we go up from the surface? What is the temperature on the surface of the planet?

A. \( \frac{d}{d x}\left(\ln (x) \cdot \arctan \left(x^{5}\right)\right) \)

Find the zeros of the function algebraically. \[ f(x)=4 x^{2}-x+2 \]

5. What does it mean that the pope is the "servant of the servants of God"? What does that tell us about how authority is to be used in the Church? (Chapter 5 ) 6. How can Catholics be more free because of following the authority of the Church? (Chapter 5 )

PG 1- Identify a weakness of the Articles of Confederation * Each state could have a global influence The national government lacked an executive branch. States kept their power and independence. Colonists were able to create their own military

\( - 4 + 4 ^ { 2 } + 4 ^ { 3 } + \cdots + 4 ^ { n } = \frac { 1 } { 3 } ( 4 ^ { n } - 1 ) \)