Questions in mathematics

Questions in mathematics

📝 Answered - Complete the following multiplication and division calculations involving fractions (show all the steps). 1. [tex]$\frac{4}{6} \div \frac{3}{12}$[/tex] 2. [tex]$\frac{7}{9} \times \frac{4}{28}$[/tex] 3. [tex]$4 \frac{1}{6} \times 6 \frac{2}{5}$[/tex] 4. [tex]$\frac{3}{17}+6$[/tex]

📝 Answered - Choose the correct method to find the answer. 8. [tex]$\frac{1}{3} \div \frac{6}{11}$[/tex] A. [tex]$\frac{1}{3} \times \frac{6}{11}$[/tex] B. [tex]$\frac{3}{1} \times \frac{11}{6}$[/tex] C. [tex]$\frac{1}{3} \div \frac{11}{6}$[/tex] D. [tex]$\frac{1}{3} \times \frac{11}{6}$[/tex]

📝 Answered - Use the arithmetic series [tex]S _5=\sum_{k=1}^5(1+3 k)[/tex] to answer each question. What are the terms of this arithmetic series? [tex]\begin{array}{l} a_1=4 \\ a_2=7 \\ a_3=10 \\ a_4=13 \\ a_5=16 \end{array}[/tex] What is the value of [tex]S_5[/tex]? [tex]S_5=16[/tex]

📝 Answered - Which of the following are true statements? Check all that apply. A. [tex]$\log M-\log N=\log (M-N)$[/tex] B. [tex]$\log \left(\frac{M}{N}\right)=\log M-\log N$[/tex] C. [tex]$\log M+\log N=\log (M N)$[/tex] D. [tex]$\log \left(\frac{M}{N}\right)=\frac{\log M}{\log N}$[/tex]

📝 Answered - One gallon of floor paint costs $22.99 and can cover a 20-foot by 20-foot floor. How much would the floor paint cost to paint a 60-foot by 60-foot floor?

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

📝 Answered - What is the solution to the equation? √x + 3 = 12

📝 Answered - Find the vertex of the given function. [tex]f(x)=|x-5|+10[/tex] The vertex is at ($\square$, $\square$).

📝 Answered - The bases of the prism are equilateral triangles. The surface area of this prism is 4,292. Which expression can be used to find [tex]$h$[/tex], the height, in millimeters, of the prism? [tex]$\begin{array}{l} \frac{4,292}{271} \ \frac{4,292-2(271)}{3(25)} \ \frac{4,292-271}{25} \ \frac{4,292}{3(25)} \end{array}$[/tex]

📝 Answered - The annual art competition in Tiruvannamalai had 10 talented participants, including 6 boys and 4 girls. For the grand finale, a group of 5 must be selected with at least two girls in the final round. What is the probability that a randomly chosen group of 5 will have at least two girls? Round off your answer to 3 decimal places.