Questions in mathematics

Questions in mathematics

📝 Answered - Which equation represents a graph with a vertex at $(-3,2)$? $y=4 x^2+24 x+38$ $y=4 x^2-24 x+38$ $y=4 x^2+12 x+2$ $y=4 x^2+16 x+13$

📝 Answered - Which of these is an example of a literal equation? A. $4+12=4^2$ B. $a x-b y=k$ C. $5 x+9 y$ D. $8-2 x=14$

📝 Answered - The distance from London to New York is 3456 miles. A plane takes 8 hours to fly from London to New York. Work out the average speed of the plane.

📝 Answered - At 9:00 am, here's what we know about two airplanes: Airplane #1 has an elevation of 51920 ft and is descending at the rate of [tex]$850 ft / min$[/tex]. Airplane #2 has an elevation of 7320 ft and is climbing at the rate of [tex]$150 ft / min$[/tex]. (1) Let [tex]$t$[/tex] represent the time in minutes since 9:00 am, and let [tex]$E$[/tex] represent the elevation in feet. Write an equation for the elevation of each plane in terms of [tex]$t$[/tex]. plane #1: [tex]$E(t)= \square$[/tex] plane #2: [tex]$E(t)= \square$[/tex] (2) At what time will the two airplanes have the same elevation? [tex]$t= \square$[/tex] minutes after 9:00 am (3) What is the elevation at that time? [tex]$E= \square$[/tex] feet

📝 Answered - Melissa collected the data in the table. | x | Given | Predicted | Residual | |---|---|---|---| | 1 | 2 | 1 | 1 | | 2 | 3 | 4 | -1 | | 3 | 8 | 7 | 1 | | 4 | 9 | 10 | ? | When x=4, what is the residual? A. -3 B. -1 C. 1 D. 3

📝 Answered - Write the inequality $3

📝 Answered - You are trying to determine if a certain die is fair (has a uniform distribution). You roll the die 60 times and record the outcomes in the table below. Find the test statistic, [tex]$\chi_0^2$[/tex], for the chi-square goodness-of-fit test. If necessary, round the final answer to one decimal place. [tex]$\chi_0^2=\sum_k \frac{(O-E)^2}{E}$[/tex] | Outcome | 1 | 2 | 3 | 4 | 5 | 6 | | :------- | :-: | :-: | :-: | :-: | :-: | :-: | | Expected | 10 | 10 | 10 | 10 | 10 | 10 | | Observed | 14 | 5 | 6 | 7 | 10 | 18 |

📝 Answered - Without sketching the graph, find the x-intercepts and y-intercepts of the graph of the equation. [tex]y=x^2-2 x-15[/tex] (On this one, just give me either one of the two XINTERCEPTS.)

📝 Answered - Solve the exponential equation [tex]$2^{4 x-2}=6^x$[/tex] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is [tex]$x \approx$[/tex] $\square$ (Type an integer or decimal rounded to three decimal places as needed.) B. The solution is not a real number.

📝 Answered - Kyle spends $\frac{2}{3}$ of an hour on homework. His sister, Jan, spends $1 \frac{1}{4}$ as much time on her homework as Kyle spends on his. How much time does Jan spend on her homework? A $1 \frac{3}{7}$ hours B $1 \frac{1}{6}$ hours C $\frac{5}{6}$ hours D $\frac{11}{15}$ hours