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Questions in mathematics

[Free] Question content area top Part 1 Use the 2021 FICA tax​ rates, shown, to answer the following question. If a taxpayer is not​ self-employed and earns $ 138,000$138,000​, what are the​ taxpayer's FICA​ taxes?

[Free] The quotient of $(x^4-3 x^2+4 x-3)$ and $(x^2+x-3)$ is a polynomial. What is the quotient?

[Free] Solve the given system of equations: [tex]\begin{array}{l} 2 y=-x+9 \\ 3 x-6 y=-15 \end{array}[/tex] The solution to the system is ($\square$, $\square$).

[Free] Which is a counterexample for the assertion $(a+b)^2=a^2+b^2$? A. $a=0, b=1$ B. There is no counterexample because this assertion is true. C. $a=1, b=1$ D. $a=1, b=0

[Free] Why is partitioning a directed line segment into a ratio of [tex]$1: 3$[/tex] not the same as finding [tex]$\frac{1}{3}$[/tex] the length of the directed line segment? A. The ratio given is part to whole, but fractions compare part to part. B. The ratio given is part to part. The total number of parts in the whole is [tex]$3-1=2$[/tex]. C. The ratio given is part to part. The total number of parts in the whole is [tex]$1+3=4$[/tex]. D. The ratio given is part to whole, but the associated fraction is [tex]$\frac{3}{1}$[/tex].

[Free] Simplify: [tex]$\frac{54 k-6}{3 k+1}$[/tex]

[Free] Solve the system of equations: [tex] \begin{array}{l} x=2 y-5 \\ -3 x=-6 y+15 \end{array} [/tex] A. (1,-3) B. (-2,-9) C. No solution D. Infinite solutions

[Free] What is the solution to the inequality $|2 n+5|>1$? A. $-3>n>-2$ B. $2 -2$ D. $n<2$ or $n>3

[Free] In Twila's class, there are 20 students. [tex]$\frac{2}{5}$[/tex] of the students are boys. How many of the students in her class are boys? A. 4 students B. 12 students C. 10 students D. 8 students

[Free] Find the simplified product where [tex]x \geq 0: \sqrt{5 x}\left(\sqrt{8 x^2}-2 \sqrt{x}\right)[/tex] A. [tex]\sqrt{10 x}[/tex] B. [tex]2 x \sqrt{40 x}-2 x[/tex] C. [tex]2 x \sqrt{10 x}-2 \sqrt{5 x}[/tex] D. [tex]2 x \sqrt{10 x}-2 x \sqrt{5}[/tex]