Describe two celestial bodies that may form in the final stages of the life cycle of a star that is more massive than the Sun.

If Polaris is 400 ly from Earth, what its distance from Earth in kilometers?

Your class is discussing the difference between scientific theories and personal beliefs. Write a brief paragraph explaining why the Big Bang concept is considered a theory rather than a belief or an opinion.

Compare planets and dwarf planets.

A large container contains $41 \frac { 2 } { 3 }$ cups of lemonade. If the lemonade is to be poured into smaller cups, each holding $3 \frac { 1 } { 8 }$ cups of lemonade, how many cups can be filled?

Write a paragraph retelling a First Nations legend about a constellation visible in the northern hemisphere.

If you were on the surface of Venus with a telescope and a friend was on the surface of Mars with a telescope, which one of you would have a better view of Earth? Explain.

Although the preferred SI unit of area is the square meter, land is often measured in the metric system in hectares (ha). One hectare is equal to $10,000 \mathrm{m}^{2}.$ In the English system, land is often measured in acres (1 acre = $\left.160\ \mathrm{rod}^{2}\right).$ Use the exact conversions to calculate the following. A lot with dimensions 120 ft by 75 ft is to be sold for $6500. What is the price per acre? What is the price per hectare?

A photon of initial energy $E_{0}$ undergoes Compton scattering at an angle $\theta$ from a free electron (mass $m_{e}$) initially at rest. Derive the following relationship for the final energy $E^{\prime}$ of the scattered photon:

$$E^{\prime}=\frac{E_{0}}{1+\left(\frac{E_{0}}{m_{e} c^{2}}\right)(1-\cos \theta)}$$

Which of the following energy sources is not used to heat water during the generation of electrical energy? (a) hydro-electric, (b) uranium, (c) coal, (d) oil.

Air pollution. The ozone level (in parts per billion) on a summer day in a metropolitan area is given by $P(t)=80+12 t-t^{2}$ where t is time in hours and t=0 corresponds to 9 A.M. (A) Use the four-step process to find $P^{\prime}(t)$. (B) Find P(3) and $P^{\prime}(3)$. Write a brief verbal interpretation of these results.

What is the molecular structure for each of the following molecules or ions? $\mathrm{ClO}_{4}^{-}$

Use synthetic division to decide whether the given number k is a zero of the polynomial function. If it is not, give the value of f(k). $f(x)=3 x^{4}+13 x^{3}-10 x+8 ; k=-\frac{4}{3}$

You have been hired as an expert witness in an investigation of a quadcopter drone incident. The incident occurred during a very rare meteor shower during which several unusually massive chunks of meteoric material were passing through the atmosphere and striking the ground. The unmanned drone was hovering at rest over the center of a house on fire, having just dropped fire retardant, when it seemed to spontaneously explode into four large pieces. The locations of the four pieces on the ground were measured as follows, relative to the center of the house over which the drone was hovering: $$ \scriptstyle\begin{array}{cccl} \hline & & \text { Distance from Center } & \text { Direction } \\ \text { Piece # } & \text { Mass (kg) } & \text { of House (m) } & \text { from House } \\ \hline 1 & 80.0 & 150 & \text { Due west } \\ 2 & 120 & 75.0 & \text { Due north } \\ 3 & 50.0 & 90.0 & 20.0^{\circ} \text { west } \\ & & & \text { of south } \\ 4 & 150 & 50.0 & 20.0^{\circ} \text { north } \\ & & & \text { of east } \\ \hline \end{array} $$ The fire department is suggesting that the drone was defective and exploded while in use. The drone manufacturer is suggesting that the drone was struck by a meteorite, causing the explosion. Perform a calculation that will show evidence suggesting agreement with one of these positions.