Questions in mathematics

Questions in mathematics

📝 Answered - Evaluate the following expression. $6+8^2 \div 4 \cdot 2^3$ $6+8^2 \div 4 \cdot 2^3=$ $\square$ (Simplify your answer.)

📝 Answered - A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the equipment was $14,450. The value after that date was modeled as follows: [tex]V(t)=14,450 e^{-0.159 n}[/tex] a) What is the rate of change in the value of the equipment on January 1, 2019? b) What was the original value of the equipment on January 1, 2017? a) The rate of change in the value of the equipment on January 1, 2019 was $\square$ dollars per year. (Type an integer or decimal rounded to two decimal places as needed.)

📝 Answered - A cashier earns $[tex]7[/tex] an hour. If [tex]x[/tex] is the number of hours worked, which function represents the cashier's earnings? [tex]y=7 x[/tex] [tex]y=x^7[/tex] [tex]y=\frac{7}{x}[/tex] [tex]y=7[/tex]

📝 Answered - Simplify: [tex]$\frac{1}{a+b}+\frac{1}{a-b}+\frac{2 b}{a^2-b^2}$[/tex]

📝 Answered - Consider the sets: [tex]$U =\{x \mid x$[/tex] is a real number [tex]$\}$[/tex] [tex]$A=\{x \mid x$[/tex] is an odd integer [tex]$\}$[/tex] [tex]$R =\{x \mid x=3,7,11,27\}$[/tex] Is [tex]$R \subset A$[/tex]? A. yes, because all the elements of set R are in set A B. no, because each element in set R is not represented in set A C. yes, because all the elements of set A are in set R D. no, because each element in set A is not represented in set R

📝 Answered - Which statements about the graph of the function [tex]$f(x)=-x^2-4 x+2$[/tex] are true? Select three options. The domain is [tex]$\displaystyle {\{x \mid x \leq-2\}}$[/tex]. The range is [tex]$\displaystyle {\{y \mid y \leq 6\}}$[/tex]. The function is increasing over the interval ([tex]$-\infty,-2$[/tex]). The function is decreasing over the interval ([tex]$-4, \infty$[/tex]). The function has a positive [tex]$y$[/tex]-intercept.

📝 Answered - The sides of a central angle are A. minor arcs B. chords C. radii D. diameters of a circle.

📝 Answered - What is the approximate value of [tex]$\log _6 25$[/tex]?

📝 Answered - Which means "30 is the product of 6 and a number b"? A. [tex]$30=6b$[/tex] B. [tex]$30 \times 6=b$[/tex] C. [tex]$30=b-6$[/tex] D. [tex]$30=6+b$[/tex]

📝 Answered - Select the correct answer. Between which values does [tex]$\sqrt{111}$[/tex] lie? A. 7 and 8 B. 8 and 9 C. 9 and 10 D. 10 and 11 E. 11 and 12