Questions in mathematics

Questions in mathematics

📝 Answered - Find the increase of N240 by ratio 3:5.

📝 Answered - A line is drawn through $(-7,11)$ and $(8,-9)$. The equation $y-11=\frac{-4}{3}(x+7)$ is written to represent the line. Which equations also represent the line? Check all that apply. $y=\frac{-4}{3} x+\frac{5}{3}$ $3 y=-4 x+40$ $4 x+y^{-5} 21$ $4 x+3 y=5$ $-4 x+3 y=17$

📝 Answered - A 5-sided spinner is numbered [tex]$1,2,3,4,5$[/tex]. The table below shows the probability of the spinner landing on [tex]$1,2,3,4$[/tex]. Complete the table. | Number | 1 | 2 | 3 | 4 | 5 | | --- | --- | --- | --- | --- | --- | | Probability | 0.27 | 0.18 | 0.32 | 0.12 | [tex]$x$[/tex] |

📝 Answered - Brian multiplied his average speed of 14.73 miles per hour by the amount of time he spent cross-country skiing. His product was 11.0475. | Brian's Activity Time (hours) | |---|---| | Hiking | 3 | | Mountain Biking | 1.45 | | Horseback Riding | 1.2 | | Cross-Country Sking | 0.75 | Rounding to the nearest whole number, determine whether Brian's product is reasonable. Round Brian's average speed to [$\square$]. Round the activity time to [$\square$]. Was Brian's product reasonable? [$\square$]

📝 Answered - Select the correct answer. Which pair of expressions represents inverse functions? A. [tex]$\frac{4 x+2}{x-3}$[/tex] and [tex]$\frac{5 x+3}{4 x-2}$[/tex] B. [tex]$2 x+5$[/tex] and [tex]$2+5 x$[/tex] C. [tex]$\frac{x+3}{4 x-2}$[/tex] and [tex]$\frac{2 x+3}{4 x-1}$[/tex] D. [tex]$\frac{4-3 x}{4 x-2}$[/tex] and [tex]$\frac{x+2}{x-2}$[/tex]

📝 Answered - $\tan x(\cot x-\csc x)=$ $\square$ (Simplify your answer.)

📝 Answered - Which expression is equivalent to $81^{\frac{1}{3}}$ ? A. $3 \sqrt[3]{3}$ B. $3 \sqrt{3^3}$ C. $9 \sqrt[3]{3}$ D. $27 \sqrt[3]{3}$

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

📝 Answered - Question 6 A student simplifies the inequality [tex]$7 t-6\ \textgreater \ -5$[/tex] to [tex]$7 t\ \textgreater \ 1$[/tex]. Which step did the student perform? A. Multiplied both sides of the inequality by 7 B. Divided both sides of the inequality by 7 C. Added 6 to each side of the inequality D. Subtracted 7 from each side of the inequality Question 7 A student showed their work for solving the inequality [tex]$-6(2 c-1)+30 \leq c-3$[/tex] for [tex]$c$[/tex]. | | [tex]$-6(2 c-1)+30 \leq c-3$[/tex] | | | :--------- | :--------------------------------- | :------------------- | | Step One | [tex]$-12 c+6 + 30 \leq c-3$[/tex] | Distribute. | | Step Two | [tex]$-12 c+36 \leq c-3$[/tex] | Combine like terms. | | Step Three | [tex]$-13 c+36 \leq -3$[/tex] | Subtract c on both sides. | | Step Four | [tex]$-13 c \leq-39$[/tex] | Subtract 36 on both sides. | | Step Five | [tex]$c \leq 3$[/tex] | Divide by -13 on both sides. | A student made an error in Step Five. What is the correct inequality for Step Five? A. [tex]$c \leq 3$[/tex] B. [tex]$c \leq 507$[/tex] C. [tex]$c \geq 507$[/tex] D. [tex]$c \geq 3$[/tex]

📝 Answered - QUESTION 4 4.1 Find the middle term in the expansion of $(2 x-y)^4$ and simplify your answer. (4) 4.2 Find the term that contains $x^5$ in the expansion of $(2 x+3 y)^8$. (4) [8] TOTAL: [50]