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Questions in mathematics

📝 Answered - What is $\log _5(4 \cdot 7)+\log _5 2$ written as a single log? A. $\log _5 21$ B. $\log _5 26$ C. $\log _5 30$ D. $\log _5 56$

📝 Answered - Solve the following inequality: $-5 \leq 2-(-10 x+7)-9.7 x$

📝 Answered - What is the range of [tex]$y=-5 \sin (x)$[/tex]? A. all real numbers B. [tex]$-5 \leq y \leq 5$[/tex] C. all real numbers [tex]$-\frac{5}{2} \leq y \leq \frac{5}{2}$[/tex] D. all real numbers [tex]$-1 \leq y \leq 1$[/tex] E. all real numbers [tex]$-\frac{1}{5} \leq y \leq \frac{1}{5}$[/tex]

📝 Answered - Which of the following points lies on the line [tex]$3 x-y=-1$[/tex]? A. [tex]$(-1,3)$[/tex] B. [tex]$(1,2)$[/tex] C. [tex]$(1,4)$[/tex] D. [tex]$(2,5)$[/tex]

📝 Answered - Using the Pythagorean theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long. A) $\sqrt{41 ft }$. B) 36 ft . C) 12.81 ft . D) 6 ft .

📝 Answered - Which system of linear inequalities has the point $(2,1)$ in its solution set? $\begin{array}{l} y<-x+3 \\ y \leq \frac{1}{2} x+3 \end{array}$

📝 Answered - Use Exhibit 18-1 to determine the sales tax (in $) and calculate the total purchase price (in $) for the following item. (Round your answers to the nearest cent.) | Item | Selling Price | Sales Tax | Total Purchase Price | |------------|---------------| ----------|----------------------| | Candy bar | $0.66 | $ | |

📝 Answered - Consider the following function: [tex]f(x)=\frac{2 x}{3 x^2-3}[/tex] What is the domain of the function?

📝 Answered - 1. In a survey conducted in a school, it is found that 500 like apples, 600 like oranges, and 50 do not like both types of fruits. a) Write the cardinality of students who like apple and orange. [1] b) Represent the above information in a Venn diagram. [1] c) How many students like both types of fruit? Also, find the number of students who like apple only? [3] d) Find the number of students who liked at most one game. [2]

📝 Answered - Solve the following equation algebraically and check graphically. [tex]8964=e^{3 x}[/tex] [tex]x \approx[/tex] [ ] (Do not round until the final answer. Then round to three decimal places as needed.)