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Questions in mathematics

📝 Answered - Perform the operations: $11-3^4$

📝 Answered - Evaluate: (i) [tex]\left(\frac{13}{18} \times \frac{-12}{39}\right)-\left(\frac{8}{9} \times \frac{-3}{4}\right)+\left[-\frac{7}{-9} \div \frac{63}{-36}\right][/tex] (ii) [tex]\frac{2}{5} \times\left(-\frac{3}{7}\right)-\frac{1}{6} \times \frac{3}{2}+\frac{1}{14} \times \frac{2}{5}[/tex] (iii) [tex]\frac{5}{6} \times\left(-\frac{2}{3}\right)-\frac{16}{5} \times \frac{3}{4}+\frac{3}{2} \times\left(-\frac{3}{9}\right)[/tex]

📝 Answered - Given: Total students [math]n(U)=100[/math] Number of students who like to play football [math]n(F)=60[/math] Number of students who like to play volleyball [math]n(V)=48[/math] Number of students who like to play cricket [math]n(C)=40[/math] Number of students who like to play football and volleyball [math]n(F \cap V)=32[/math] Number of students who like to play football and cricket [math]n(F \cap C)=22[/math] Number of students who like to play volleyball and cricket [math]n(V \cap C)= 20[/math] Number of students who like to play all games [math]n(F \cap V \cap C) = 5[/math] In a Venn diagram, find the number of students who like at least one game.

📝 Answered - What is the domain of $y=\log _5 x$? A. all real numbers less than 0 B. all real numbers greater than 0 C. all real numbers not equal to 0 D. all real numbers

📝 Answered - Determine which equation has the same solutions as the given equation. [tex]x^2-10 x-11=0[/tex] A. [tex](x-5)^2=36[/tex] B. [tex](x-5)^2=21[/tex] C. [tex](x-10)^2=36[/tex] D. [tex](x-10)^2=21[/tex]

📝 Answered - Solve $-4 x+2(5 x-6)+2 x=44$ for $x$ A. $x=-9$ B. $x=-5$ C. $x=7$ D. $x=12

📝 Answered - Sean earned 20 points. Charles earned $p$ more points than Sean. Choose the expression that shows how many points Charles earned. A. 20 B. $p-20$ C. $20+p$ D. $p

📝 Answered - Select whether the equation has a solution or not. [tex]$\sqrt{x}=7$[/tex]

📝 Answered - Fifteen percent of an employee's taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out. If the variable x represents the employee's pay before tax-exempt expenses and taxes are removed, which expression represents the employee's take-home pay after these deductions? A. 0.15(x-350) B. x-0.15-350 C. 0.85(x-350) D. x-0.85-350

📝 Answered - Find the value of the logarithmic function [tex]$\log _8\left(\frac{1}{8}\right)$[/tex]