Making Calculations The sun orbits the center of the Milky Way galaxy every 225 million years. How many revolutions has the sun made since the formation of Earth $4.6$ billion years ago?

Another known cause of red shift in light is the source being in a high gravitational field. Discuss how this can be eliminated as the source of galactic red shifts, given that the shifts are proportional to distance and not to the size of the galaxy.

Where should a $+2-\mu C$ charge be placed so that it would experience zero total force from the other two charges? (A) at some point between the two charges (B) at some point to the left of x = 1 m (C) at some point to the right of x = 6 m (D) There is no such position.

Give the word derived from Greek and/or Latin elements that matches given of the following. Verify your answer in a medical dictionary. Note that the wording of the dictionary definition may vary from the wording below.
Formation of calculi ________________

On the line provided, identify each word group by writing P for phrase or NP for not a phrase.

$\underline{\hspace{2cm}}$ has smashed

Find (a) the fourth partial sum and (b) the sum of the infinite series. $\sum_{k=1}^{\infty} \frac{4}{10^{k}}$

Explain the following observations in terms of complexion formation.
(b) $\mathrm{AgI}$ is insoluble in water and in dilute $\mathrm{NH}_3(\mathrm{aq})$, but $\mathrm{AgI}$ will dissolve in an aqueous solution of sodium thiosulfate.

Consider the following list:

$$7,28,31,40,5,20$$

The first four keys are in order. To move 5 to its proper position using the insertion sort as described in this chapter, exactly how many key comparisons are executed?

Plot each point in polar coordinates. Then find another representation

$$( r , \theta )$$

of this point in which:

$$r > 0 , - 2 \pi < \theta < 0.$$

$$\left( 3 , \frac { \pi } { 6 } \right)$$

Identifying Relationships Explain how stars can form a constellation when seen from Earth but can still be very far from each other.

Complete each sentence by writing the form of the verb indicated in parentheses.

Greg and Chip _________ to dunk basketballs. (base form of try)

Suppose you point a pinhole camera at a $15-m-t a l l$ tree that is $75 \mathrm{~m}$ away. If the detector is $22 \mathrm{~cm}$ behind the pinhole, what will be the size of the tree's image on the detector?

Evaluate the algebraic expression for the given value or values of the variables.

$$- x ^ { 2 } - 11 ; \quad x = - 3$$

The normal melting point of copper is $1357 \mathrm{~K}$, and $\Delta_{\text {fus }} \mathrm{H}$ of $\mathrm{Cu}$ is $13.05 \mathrm{~kJ} \mathrm{~mol}^{-1}$. (a) How much heat, in kilojoules, is evolved when a $3.78 \mathrm{~kg}$ sample of molten Cu freezes?