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Recent Questions

In **Mathematics** / **College** | 2025-07-03

[Answered] Divide and simplify. [tex]$\frac{a+b}{a b} \div \frac{a^2-b^2}{5 a^3 b}$[/tex]

In **Mathematics** / **High School** | 2025-07-03

[Answered] Solve $x^2-8x=3$ by completing the square. Which is the solution set of the equation? {4-\sqrt{19}, 4+\sqrt{19}} (4-\sqrt{11}, 4+\sqrt{11}) {4-\sqrt{8}, 4+\sqrt{8}} {4-\sqrt{3}, 4+\sqrt{3}}

In **Mathematics** / **College** | 2025-07-03

[Answered] Have vehicles gotten more fuel-efficient over the years? Between 1960 and 1999 the size and shape of automobiles in the United States has changed almost annually. The amount of fuel consumed by these vehicles has also changed. The following table describes the average fuel consumption per year per passenger car in gallons of gasoline. | Year, $t$ | 1960 | 1970 | 1980 | 1990 | 1995 | 1997 | 1998 | 1999 | |---|---|---|---|---|---|---|---|---| | Gallons Consumed Per Passenger Car | 668 | 760 | 576 | 520 | 530 | 538 | 544 | 552 | Determine the average rate of change, in gallons of gas per year, from 1960 and 1999 and then determine what the result means in this situation. A. -0.33 gal/year; the average fuel consumption per year of a passenger car in the U.S. decreased by a third of a gallon per year. B. 0.33 gal/year; the average fuel consumption per year of a passenger car in the U.S. increased by a third of a gallon per year. C. 2.97 gal/year; the average fuel consumption per year of a passenger car in the U.S. increased by nearly 3 gal/year. D. -2.97 gal/year; the average fuel consumption per year of a passenger car in the U.S. decreased by nearly 3 gal/year.

In **Mathematics** / **College** | 2025-07-03

[Answered] If a trinomial has a negative coefficient for the squared term, it is usually easier to factor by first factoring out the common factor - 1. Use this method to factor the following trinomial. [tex]$-4 x^2-x+5$[/tex] Select the correct choice below and fill in any answer boxes within your choice.

In **Mathematics** / **High School** | 2025-07-03

[Answered] If [tex]f(x)=3^x+10 x[/tex] and [tex]g(x)=5 x-3[/tex], find [tex](f-g)(x)[/tex]. A. [tex]18 x-3[/tex] B. [tex]3^x-5 x+3[/tex] C. [tex]3^x+15 x-3[/tex] D. [tex]3^x+5 x+3[/tex]

In **Physics** / **College** | 2025-07-03

[Answered] Sound intensity model: [tex]L=10 \log \left(\frac{I}{I_0}\right)[/tex] [tex]L =[/tex] loudness, in decibels (dB); [tex]I=[/tex] sound intensity, in watts/[tex]m^2[/tex]; [tex]I_0=10^{-12}[/tex] watts/[tex]m^2[/tex] The loudness of a jack hammer is 96 dB. Its sound intensity is about . The loudness of a compactor is 94 dB. Its sound intensity is about .

In **Chemistry** / **College** | 2025-07-03

[Answered] What is the pH of a 0.048 M solution of hydrochloric acid ([tex]H^+[/tex])? A. 0.32 B. 4.80 C. -0.758 D. none of these available choices E. 1.32

In **Mathematics** / **High School** | 2025-07-03

[Answered] Find the y-intercept of the line represented by the equation below: 4x - 4y = 4

In **History** / **High School** | 2025-07-03

[Answered] Europeans ignored cultural divisions when setting colonial boundaries because: A. Europeans had no interest in or concern for African cultural divisions. B. African cultural divisions were too complex for Europeans to understand. C. Respecting African cultural identity might negatively affect Africa's economy. D. African citizens did not have a strong sense of national or cultural identity.

In **Mathematics** / **College** | 2025-07-03

[Answered] Use the amortization table below to find the monthly mortgage payment for a $223,000 loan at 6.50% for 30 years. | Rate (%) | 15 Years | 20 Years | 30 Years | |---|---|---|---| | 5.00 | 7.9079 | 6.5996 | 5.3682 | | 5.25 | 8.0388 | 6.7384 | 5.5220 | | 5.50 | 8.1708 | 6.8789 | 5.6779 | | 5.75 | 8.3041 | 7.0208 | 5.8357 | | 6.00 | 8.4386 | 7.1643 | 5.9955 | | 6.25 | 8.5742 | 7.3093 | 6.1572 | | 6.50 | 8.7111 | 7.4557 | 6.3207 | | 6.75 | 8.8491 | 7.6036 | 6.4860 | | 7.00 | 8.9883 | 7.7530 | 6.6530 | | 7.25 | 9.1286 | 7.9038 | 6.8218 | State your answer in terms of dollars rounded to the nearest cent, but do not include a $ sign or the word "dollars" with your response.