Questions in mathematics

Questions in mathematics

📝 Answered - Divide. $0.81 \overline{)5.022}$ The quotient is $\square$

📝 Answered - Divide. Write your answer in lowest terms. $\frac{y^2+2 y-3}{y^2-2 y+1} \div \frac{y+3}{y+1}$

📝 Answered - What is the following sum? [tex]$3 b^2(\sqrt[3]{54 a})+3(\sqrt[3]{2 a b^6})$[/tex] A. [tex]$6 b^2(\sqrt[3]{2 a})$[/tex] B. [tex]$12 b^2(\sqrt[3]{2 a})$[/tex] C. [tex]$6 b^2(\sqrt[6]{2 a})$[/tex] D. [tex]$12 b^2(\sqrt[6]{2 a})$[/tex]

📝 Answered - In the heart of Coimbatore's Brookefields Mall, the popular 6-screen multiplex Swarna Cinemas was trying to tweak its ticket pricing strategy for a special Tamil film festival. Each screen has 300 seats, and historically, when a show is fully booked, the ticket price is ₹60. However, management observed a trend: for every ₹5 increase in ticket price, the number of tickets sold dropped by 10. They wanted to find the sweet spot that would maximize revenue per show. During a brainstorming session, the assistant manager Murugan posed the question to a group of interns: "At what ticket price will our revenue from a single screen be maximum?" What should be the ideal ticket price, if the price can be increased only in the multiples of 5? Note: Put the answer as an integer without any padded zeroes or decimal points. For example, if the answer is 100, then please put 100 as the answer and not 100.0 or 0100 or 00100.

📝 Answered - Johnno's parents spend a long time at the club, and he plays games when they aren't at home instead of doing his schoolwork. If he plays 6 hours of games on a weekday evening until they come home and 8 hours on weekends, how many hours of games does he play each week? How many in the average month?

📝 Answered - Convert the following percentages into fractions: 1. 82% 2. 16% Convert the following fractions into percentages: 1. 22/100 2. 3/4

📝 Answered - An arithmetic sequence has first term u₁ = -10 and common difference d = 2. Calculate u₈. u₈ =

📝 Answered - Solve this system of equations: [tex]\begin{array}{l} y=x^2-3 x+12 \ y=-2 x+14\end{array}[/tex] What are the values of [tex]x[/tex]? A. [-2,1] B. (-2,4) C. [-1,2] D. [-1,4]

📝 Answered - Determine the integral that can be used to find the arc length of the curve defined by the parametric equations [tex]$x(t)=-9 t^2-6 t-5$[/tex] and [tex]$y(t)=7 t^3-2 t^2+8 t+4$[/tex] from [tex]$1 \leq t \leq 2$[/tex].

📝 Answered - What is $P (0.6 \leq z \leq 2.12)$?