Questions in mathematics

Questions in mathematics

📝 Answered - If [tex]f : {x : -1 \le x \le 1} \rightarrow {x : -1 \le x \le 1}[/tex], then which is/are bijective? [tex]f(x) = [x][/tex] [tex]f(x) = sin(\pi x/2)[/tex] [tex]f(x) = |x|[/tex] [tex]f(x) = x|x|[/tex]

📝 Answered - Arkell decorates old bottles to make vases. The table shows the number of vases he has. | Day | Vases | |---|---| | 1 | 6 | | 2 | 12 | | 3 | 18 | | 4 | 24 | | 5 | 30 | This situation represents a sequence. The common is . At the end of the seventh day, Arkell will have vases.

📝 Answered - Paul wrote a check to the dentist for $345.69. He'll use the check register to record his transaction. What will be his new balance? | Check | Date | Transaction | (-) Debit | | (+) Deposit | Balance | | :---- | :----- | :---------------- | :-------- | :- | :---------- | :--------- | | | 7/1 | Beginning Balance | | | | $1,142.00 | | 251 | 7/7 | Grocery Bill | 15.89 | | | | | 252 | 7/19 | Electric Bill | 75.69 | | | | | | | | | | | | | | | | | | | | A. $704.73 B. $720.62 C. $1,233.58 D. $1,579.27

📝 Answered - Solve for $(x): |2x-6| < 12$

📝 Answered - [tex]v^{\frac{5}{4}}=243[/tex]

📝 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. Next, find the probability that it's a senior in sports. [tex]P(\text { senior })=0.35[/tex] [tex]P(\text { senior and sports })=[/tex][?] Enter your answer in decimal form. Do not round.

📝 Answered - Solve the system of equations. If the system does not have one unique solution, determine the number of solutions to the system. [tex] \begin{aligned} -5 x+8 y & =8 \ -2 x+5 z & =-10 \ 5 y+7 z & =-9 \end{aligned} [/tex]

📝 Answered - Examine the two-way frequency table below. | | Score: 90-100 | Score: 70-89 | | :---------- | :------------ | :----------- | | Math Test | 20 | 40 | | Science Test | 15 | 35 | Which percentage of students took the math test and received a grade of 90 or above? A. 16.39% B. 57.14% C. 29.85% D. 28.69%

📝 Answered - A birthday cake is being made using a cylindrical baking pan. The radius of the pan is 4 inches, and the height is 5 inches. Which formula represents the correct way to calculate the volume of the cake? $V=(4)(5)$ $V=\pi(4)(5)$ $V=\pi(4)^2(5)$ $V=\pi(5)^2(4)$

📝 Answered - Write as a single fraction. [tex]1+\frac{2 c+3 d}{2 c}-\frac{4 c+5 d}{5 c}[/tex] Simplify your answer as much as possible.