Recognizing Elliptical Clauses. Underline each elliptical clause in the sentences below. In the space provided write out the rest of the missing clause. Lucy can run faster than Bill.------

A sample space contains 20 equally likely outcomes. If the probability of event A is 0.3, how many outcomes are in event A?

The rate of change in sales for PetSmart, Inc. from 1998 through 2005 can be modeled by

$$\frac{d S}{d t}=15.7 e^{0.23 t}$$

where $S$ is the sales (in millions of dollars) and $t=8$ corresponds to 1998. In 1998, the sales for PetSmart were $\$ 2109.3$ million. (Source: PetSmart, Inc.) Write a model for the sales as a function of $t$.

Combine into a single logarithm. $\log _{5} 2+\log _{5}(x+1)-\frac{1}{3} \log _{5}(3 x+7)$

Explain how one might use the graph of the equation z=f(x, y) to determine the signs of

$$f _ { x } \left( x _ { 0 } , y _ { 0 } \right)$$

and

$$f _ { y } \left( x _ { 0 } , y _ { 0 } \right)$$

by inspection.

Starr Scopes, Inc., produces telescopes for use by high school students. All direct materials used in the production of telescopes are added at the beginning of the manufacturing process. Labor and overhead are added evenly thereafter, as each unit is assembled, adjusted, and tested. Starr Scopes uses process costing and had the following unit production information available for the months of January and February:

$$\begin{array}{lrr} & \text{Jan. } & \text{Feb.}\\ \hline \text{Number of units in beginning work in process inventory } &0 &50\\ \text{ Number of units started during the month } &200 &300\\ \text{Total number of units transferred to finished goods } & 150& 250\\ \end{array}$$

The units remaining in work in process at the end of January were approximately 40 percent complete. During the month of February, all of the beginning work in process units was completed and the units remaining in work in process at the end of the month were approximately 75 percent complete.

For the month of February, calculate the equivalent units produced for each of the two cost categories-direct materials and labor and overhead.

For one roll of a number cube, let $A$ be the event "even" and let $B$ be the event " 2 ." Find each probability. $\\$ a.$P(B)$

Identify any differences in segment disclosure requirements between U.S. GAAP and IFRS.

Identify three usual time horizons for short-term planning and budgets.

Find the GCF of the given set of monomials.

$$12,18,40$$

Express each set using set-builder notation. Use inequality notation to express the condition x must meet in order to be a member of the set. (More than one correct inequality may be possible.) {61, 62, 63, 64, ...}

What was one of the consequences of the Clean Air Act passed in 1990 regarding chillers?

Consider the following partially completed schedules of cost of goods manufactured. Compute the missing amounts.

$$\begin{array}{lrrr} \hline &\textbf{Baker, Inc.}&\textbf{Lawson's Bakery}&\textbf{Outdoor Gear}\\ \hline \text{Beginning Work-in-Process Inventory}&\$(a)&\$40,200&\$2,600\\ \text{Direct Materials Used}&14,800&35,400&(g)\\ \text{Diret Labor}&10,1000&20,000&1,800\\ \text{Manufacturing Overhead}&(b)&10,300&600\\ \hline \text{Total Manufacturing Costs Incurred during the Year}&45,100&(d)&(h)\\ \hline \text{Total Manufacturing Costs to Account For}&55,300&(e)&8,200\\ \text{Ending Work-in-Process Inventory}&(c)&(25,800)&(2,000)\\ \hline \text{Cost of Goods Manufactured}&\$50,800&\$(f)&\$(i)\\ \hline\hline \end{array}$$

Show that $\Phi_m(x)=\prod_{n \mid m}\left(x^n-1\right)^{\mu(m / n)}$, where $\mu$ is the Möbius function as we discussed earlier