If n > 0, then -|n| = _

Combine like terms to form an equivalent expression. \

$$6m+9n+(-9n)+(-10m)$$

Seven people are waiting to audition for a play. In how many different orders can the auditions be done?

A utility company charges a base rate for water usage of $19.50 per month, plus$4.58 for every additional 1000-gal of water used over a 2000-gal base. a. Write a formula for the monthly charge $C$ for a household that uses $n$ thousand gallons over the 2000-gal base. b. Compute the cost for a family that uses a total of 6000-gal of water for a given month

Lamika buys $12$ packs of juice boxes that are on sale and pays a total of $\$48$. Use a ratio table to determine how much Lamika will pay to buy $8$ more packs of juice boxes at the same store.

A utility company charges a base rate for water usage of $19.50 per month, plus$4.58 for every additional 1000 gal of water used over a 2000-gal base. (A) Write a formula for the monthly charge C for a household that uses n thousand gallons over the 2000-gal base. (B) Compute the cost for a family that uses a total of 6000 gal of water for a given month.

Rank these stages of stellar development from earliest to latest: (a) white dwarf, (b) nova, (c) red giant.

A power company charges one household $0.12 per kilowatt-hour (kWh) and$14.89 in monthly taxes. (A) Write a formula for the monthly charge C for this household if it uses k kilowatt-hours. (B) Compute the monthly charge if the house uses 1200 kWh.

When rising humid air starts to condense, why does its temperature change less rapidly with increasing elevation? (a) Its density increases, making it more difficult to change temperature. (b) Thermal energy released during condensation causes less thermal energy change. (c) The gas expands less, causing less negative work. (d) The temperature of the surrounding air is changing less.

Jonas has a personal music player with 80 gigabytes of memory (80 gigabytes is approximately 8 x 10^10 bytes). If each song requires an average of 4 megabytes of memory (approximately 4 x 10^6 bytes), how many songs can Jonas store on the device?

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I began using the Law of Sines to solve an oblique triangle in which the measures of two sides and the angle between them were known.

Joelle has a personal web page with 60 gigabytes of memory (approximately 6 x 10^10 bytes). She stores math videos on the site for her students to watch outside of class. If each video requires an average of 5 megabytes of memory (approximately 5 x 10^6 bytes), how many videos can she store on her website?

Use the Minitab display, which results from the scores listed in the accompanying table. The sample data are SAT scores on the verbal and math portions of SAT-I and are based on reported statistics from the College Board.

$$\begin{matrix} \text{Verbal}\\ \text{Female} & \text{646} & \text{539} & \text{348} & \text{623} & \text{478} & \text{429} & \text{298} & \text{782} & \text{626} & \text{533}\\ \text{Male} & \text{562} & \text{525} & \text{512} & \text{576} & \text{570} & \text{480} & \text{571} & \text{555} & \text{519} & \text{596}\\ \text{Math}\\ \text{Female} & \text{484} & \text{489} & \text{436} & \text{396} & \text{545} & \text{504} & \text{574} & \text{352} & \text{365} & \text{350}\\ \text{Male} & \text{547} & \text{678} & \text{464} & \text{651} & \text{645} & \text{673} & \text{624} & \text{624} & \text{328} & \text{548}\\ \end{matrix}$$

$$\begin{matrix} \text{Minitab}\\ \text{Source} & \text{DF} & \text{SS} & \text{MS} & \text{F} & \text{P}\\ \text{Gender} & \text{1} & \text{52635} & \text{52635.0} & \text{5.03} & \text{0.031}\\ \text{Verb/Math} & \text{1} & \text{6027} & \text{6027.0} & \text{0.58} & \text{0.453}\\ \text{Interaction} & \text{1} & \text{31528} & \text{31528.2} & \text{3.01} & \text{0.091}\\ \text{Error} & \text{36} & \text{376748} & \text{10465.2}\\ \text{Total} & \text{39} & \text{466938}\\ \end{matrix}$$

Assume that SAT scores are not affected by an interaction between gender and the type of test (verbal/math). Is there sufficient evidence to support the claim that gender has an effect on SAT scores?

A hotel charges $149 per night plus a 16% nightly room tax. In addition, there is a one-time parking fee of$40. (A) Write a formula to represent the total cost C for n nights in the hotel. (B) Determine the cost to stay in the hotel for two nights.