Questions in mathematics

Questions in mathematics

📝 Answered - Instructional aide Math answers

📝 Answered - Determine whether the following equation defines y as a function of x. [tex]x-5=y^2[/tex] Does the equation [tex]x-5=y^2[/tex] define [tex]y[/tex] as a function of [tex]x[/tex]? Yes No

📝 Answered - Find the general antiderivative of [tex]f(x)=6 x^2+\frac{2}{x}+\frac{3}{x^6}-\sqrt{x}[/tex]

📝 Answered - A particle is moving in the x-y plane such that x = t + sin(t) meters, y = cos(t) meters. Here, t is the time in seconds. Find the length of the path taken by the particle from t = 0 to t = 2π seconds.

📝 Answered - 14) -4(16 + 8x) + 12(7 - 3x) = 50(x + 3) - (15 - x) 15) 96(x - 1) - (7x - 64) = 38(2 - x) + 3(17 + 2x) + 83

📝 Answered - Given $g(x)=3x-1$, find $g(2).

📝 Answered - The table represents the function [tex]f(x)[/tex]. | x | f(x) | |---|---| | 4 | -66 | | -3 | -29 | | -2 | -10 | | -1 | -3 | | 0 | -2 | | 1 | -1 | | 2 | 6 | When [tex]f(x)=-3[/tex], what is [tex]x[/tex] ? A. -29 B. -10 C. -3 D. -1

📝 Answered - Below a two-way table is given for student activities: | | Sports | Drama | Work | Total | | -------- | ------ | ----- | ---- | ----- | | Sophomore | 20 | 7 | 3 | 30 | | Junior | 20 | 13 | 2 | 35 | | Senior | 25 | 5 | 5 | 35 | | Total | 65 | 25 | 10 | 100 | Follow the steps to find the probability a student is in sports, given that they are a senior. Use the formula below to get your final answer. [tex]$\begin{array}{c} P(\text { senior })=0.35 \quad P(\text { senior and sports })=0.25 \ P(\text { sports } \mid \text { senior })=\frac{P(\text { sports and senior })}{P(\text { senior })}=[?] %\ \end{array}$[/tex] Round your answer to the nearest whole percent.

📝 Answered - Alanna tried to solve an equation: [tex]\begin{array}{rlr} 4 c & =12 & \\ \frac{4 c}{4} & =12 \cdot 4 & \text { Setting up } \\ c & =48 & \text { Calculating } \end{array}[/tex] Where did Alanna make her first mistake? Choose 1 answer: A. Setting up B. Calculating C. Alanna correctly solved the equation.

📝 Answered - What is the sum of [tex]$\sqrt{-2}$[/tex] and [tex]$\sqrt{-18}$[/tex]?