Questions in mathematics

Questions in mathematics

📝 Answered - In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours or after working more than 9 hours. How can this be written as a single compound inequality? A. [tex]$7\ \textless \ h\ \textless \ 9$[/tex] B. [tex]$7\ \textgreater \ h\ \textgreater \ 9$[/tex] C. [tex]$h\ \textless \ 7$[/tex] or [tex]$h\ \textgreater \ 9$[/tex] D. [tex]$h\ \textgreater \ 7$[/tex] or [tex]$h\ \textless \ 9$[/tex]

📝 Answered - Fiona wrote the predicted and residual values for a data set using the line of best fit [tex]y=3.71 x-8.85[/tex]. | x | Given | Predicted | Residual | |---|---|---|---| | 1 | -5.1 | -5.14 | 0.04 | | 2 | -1.3 | -1.43 | -0.13 | | 3 | 1.9 | 2.28 | -0.38 | | 4 | 6.2 | 5.99 | 0.21 | Which statements are true about the table? Select three options. A. The data point for [tex]x=1[/tex] is above the line of best fit. B. The residual value for [tex]x=3[/tex] should be a positive number because the data point is above the line of best fit. C. Fiona made a subtraction error when she computed the residual value for [tex]x=4[/tex]. D. The residual value for [tex]x=2[/tex] should be a positive number because the given point is above the line of best fit. E. The residual value for [tex]x=3[/tex] is negative because the given point is below the line of best fit.

📝 Answered - [tex]\sum_{n=1}^5 12\left(\frac{1}{2}\right)^{n-1}[/tex]

📝 Answered - If [tex]f(x)=(x^m+9)^2[/tex], which statement about [tex]f(x)[/tex] is true? A. [tex]f(x)[/tex] is an even function for all values of [tex]m[/tex]. B. [tex]f(x)[/tex] is an even function for all even values of [tex]m[/tex]. C. [tex]f(x)[/tex] is an odd function for all values of [tex]m[/tex]. D. [tex]f(x)[/tex] is an odd function for all odd values of [tex]m[/tex].

📝 Answered - Solve the following equation: [tex]28 \div 7+2 \times 3=[/tex] ? A. 18 B. 10 C. 12 D. 24

📝 Answered - The total population of a town is 2800, where the number of males is 720 more than that of females. If the number of males reduces by 40% and that of females increases by 20%, then find the new population of the town?

📝 Answered - (iii) Comparing real and imaginary parts. [(3+4i)^2 - 2(x-4i) = x+4i]

📝 Answered - Solve the equation for $x$ by graphing. $-4 x-1=5^n+4$ A. $x \approx-0.25$ B. $x \approx-1.50$ C. $x \approx-1.25$ D. $x \approx-1

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - Louis used a quadratic equation to model the height, $y$, of a falling object $x$ seconds after it is dropped. Which ordered pair generated by this model should be discarded because the values are unreasonable? A. $(-4,1)$ B. $\left(\frac{9}{4}, 24\right)$ C. $\left(5, \frac{3}{2}\right)$ D. (6, 3)