Questions in mathematics

Questions in mathematics

[Answered] An arithmetic sequence has the general term u_n = -10n + 10. Calculate u_n when n = 18. u_n =

[Answered] 16. f(x) = (x - a)(x - b) The function is defined by the given equation, where a and b are integer constants. If f(32) > 0, f(35) < 0, and f(38) > 0, which of the following could be the value of a + b? A. 35 B. 37 C. 67 D. 69

[Answered] Select the correct answer from each drop-down menu. $\triangle A B C$ has side lengths of 10 units, 20 units, and 24 units. $\triangle X Y Z$ is similar to $\triangle A B C$, and the length of its longest side is 60 units. The perimeter of $\triangle X Y Z$ is [BLANK] units. If the height of $\triangle A B C$, with respect to its longest side being the base, is 8 units, the area of $\triangle X Y Z$ is [BLANK] square units.

[Answered] Mary is promoted to salary level 3, receives a 2% cost-of-living increase and a 5% merit bonus. What is Mary's new salary?

[Answered] From 1980 through 1990, the population of Country X increased by [tex]$100 \%$[/tex]. From 1990 to 2000, the population increased by [tex]$50 \%$[/tex]. What was the combined increase for the period 1980-2000? (A) [tex]$150 \%$[/tex] (B) [tex]$166 \frac{2}{3} \%$[/tex] (C) [tex]$175 \%$[/tex] (D) [tex]$200 \%$[/tex]

[Answered] A quilt piece is designed with four congruent triangles to form a rhombus so that one of the diagonals is equal to the side length of the rhombus. Which measures are true for the quilt piece? Select three options. [tex]a=60^{\circ}[/tex] [tex]x=3 in[/tex]. The perimeter of the rhombus is 16 inches. The measure of the greater interior angle of the rhombus is [tex]90^{\circ}[/tex]. The length of the longer diagonal is approximately 7

[Answered] What is the sum of $12-5 i$ and $-3+4 i$?

[Answered] Complete the following multiplication and division calculations involving fractions (show all the steps). 4.1.1. [tex]$\frac{4}{6} \div \frac{3}{12}$[/tex] 4.1.2. [tex]$\frac{7}{9} \times \frac{4}{28}$[/tex] 4.1.3. [tex]$4 \frac{1}{6} \times 6 \frac{2}{5}$[/tex] 4.1.4. [tex]$\frac{3}{17}+6$[/tex]

[Answered] What are the domain and range of [tex]f(x)=\log x-5[/tex]? A. domain: [tex]x\ \textgreater \ 0[/tex]; range: all real numbers B. domain: [tex]x\ \textless \ 0[/tex]; range: all real numbers C. domain: [tex]x\ \textgreater \ 5[/tex]; range: [tex]y\ \textgreater \ 5[/tex] D. domain: [tex]x\ \textgreater \ 5[/tex]; range: [tex]y\ \textgreater \ -5[/tex]

[Answered] B) -11 C) -7 Solve the rational inequality: $\frac{3 x+12}{x-6} \geq 0$ B) $(-\infty$, $\cup(6, \infty)$ D) $(-\infty$, Find the multiplicity of each zero of $p(x)=5 x^6(x+2)^7(x-3)^7$