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Questions in mathematics

📝 Answered - Solve the following formula for $x$ $ y=7 m x-6 b $ $ x=\square$ Enter your answer as an expression. But be careful...to enter an expression like $\frac{a+b}{3+m}$ you need to type $( a + b ) /(3+ m )$. You need parentheses for both the numerator and denominator.

📝 Answered - Simplify the expression. [tex] \begin{array}{l} (x^2)^3 \\ x^{[?]} \end{array} [/tex]

📝 Answered - Find all real solutions to the equation: [tex]$-7 s^2-27 s=-3 s^3-63$[/tex]

📝 Answered - Select the best answer for the question. 1. Which of the following is a mixed number? A. $2 / 5$ B. 2.3 C. $2 \frac{1}{2}$ D. $5 / 2$

📝 Answered - For the inverse variation equation [tex]xy=k[/tex], what is the value of [tex]x[/tex] when [tex]y=4[/tex] and [tex]k=7[/tex]? A. [tex]\frac{4}{7}[/tex] B. [tex]\frac{7}{4}[/tex] C. 3 D. 28

📝 Answered - Identify the equation as a conditional equation, a contradiction, or an identity. [tex]5(t+7)-6=59[/tex] Part 1 of 2 The equation is a conditional equation. The equation is a contradiction. The equation is an identity.

📝 Answered - The formulas below are the cost and revenue functions for a company that manufactures and sells small radios. [tex]C(x)=90,000+34 x \text { and } R(x)=43 x[/tex] a. Use the formulas shown to write the company's profit function, P, from producing and selling x radios. b. Find the company's profit if 24,000 radios are produced and sold. a. The company's profit function is [tex]P ( x )=9 x -90,000[/tex]. (Simplify your answer.) b. The company's profit from selling 24,000 radios is [tex]$\square[/tex]. (Simplify your answer.)

📝 Answered - The formula for the circumference of a circle is [tex]$C =2 \pi r$[/tex], where [tex]$r$[/tex] is the radius and [tex]$C$[/tex] is the circumference. The equation solved for [tex]$r$[/tex] is [tex]$r=\frac{C}{2 \pi}$[/tex]. Find the radius of a circle that has a circumference of [tex]$16\pi$[/tex].

📝 Answered - What is 0.000801 written in scientific notation? A. $8.01 \times 10^{-6}$ B. $8.01 \times 10^{-4}$ C. $8.01 \times 10^{-5}$ D. $80.1 \times 10^{-5}$

📝 Answered - Let the universal set be the set [tex]$R$[/tex] of all real numbers and 1. [tex]$A=\{x \in R \mid-3 \leq x \leq 0\}, B=\{x \in R \mid-1\ \textless \ x\ \textless \ 2\}$[/tex], and [tex]$C=\{x \in R \mid 6\ \textless \ x \leq 8\}$[/tex]. Find each of the following: a. [tex]$A \cup B$[/tex] b. [tex]$A \cap B$[/tex] c. [tex]$A^c$[/tex] d. [tex]$A \cup C$[/tex] e. [tex]$A \cap C$[/tex] f. [tex]$B^c$[/tex] g. [tex]$A^c \cap B^c$[/tex] h. [tex]$A^c \cup B^c$[/tex] i. [tex]$(A \cap B)^c$[/tex] j. [tex]$(A \cup B)^c$[/tex]