Which unit would be most appropriate for measuring each of the following distances? Choose between kilometers, AU, and light years. (a) the distance from the Milky Way to the Canis Major Dwarf Galaxy, (b) the distance from the Sun to Charon, one of Pluto's moons, (c) the distance from Earth's surface to the International Space Station.

(a) How does the phenomenon of red shift provide evidence of an expanding universe? (b) A scientist observes blue shift in the edge of a rotating galaxy. What can you conclude about the galaxy's movement?

Which unit of length in the metric system would be most appropriate in size for measuring each of the following items?

d. the diameter of a baseball

Which unit of length in the metric system would be most appropriate in size for measuring each of the following items?

a. the dimensions of this page

(a) Name some words that contain the prefix "pro" or "proto" (b) Explain how someone who did not know the meaning of the word "protostar" could derive its meaning by looking at the word itself.

An astronomer observes several stars and records their respective colours, as shown in Table below. Using this data, order the stars by temperature from warmest to coolest.

$$\begin{matrix} \text{Star} & \text{Colour}\\ \text{10 Lacertra} & \text{bluish}\\ \text{Antares} & \text{reddish}\\ \text{Aldebaran} & \text{orange-ish}\\ \text{Canopus} & \text{bluish white}\\ \end{matrix}$$

Explain the current theory of what a quasar is and where quasars can be found.

Graph each rational function. $f(x)=\frac{(x+3)(x-5)}{(x+1)(x-4)}$

A quadratic function f(x) has vertex (0, 0), and all of its intercepts are the same point. What is the general form of its equation?

Suppose there is a young protostar hidden in a certain gas cloud in our galaxy. Suggest a way that we could gather data from the star without relying on visible light.

Of all boxes with a square base and a volume of $8 \mathrm{m}^{3}$. which one has the minimum surface area? (Give its dimensions.)

The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Then find it without using substitution. Check that your answers are equivalent. $\int 8 x^{7}\left(x^{8}\right)^{3} d x$

Find the indefinite integral. Check your result by differentiating. $\int 3 t^{4} d t$

At the end of a period, what balance should remain in the Factory Overhead account?