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Questions in mathematics

📝 Answered - 41°F equals how many degrees Celsius? A) -5°C B) 5°C C) 56°C D) 9°C

📝 Answered - If [tex]f(a)=6 a-7[/tex] and [tex]g(a)=a^2[/tex], then [tex]g(f(a))=[/tex] A. [tex]36 a^2+49[/tex] B. [tex]36 a^2-84 a+49[/tex] C. [tex]36 a^2-42 a+49[/tex] D. [tex]6 a^2-7[/tex] E. [tex]a^2(6 a-7)[/tex]

📝 Answered - Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below. $\frac{\log \frac{1}{4}}{\log 12}$ Which expression could be Tyler's original expression? $\log _{\frac{1}{4}} 12$ $\log _{12} \frac{1}{4}$ $12 \log \frac{1}{4}$ $\frac{1}{4} \log 12$

📝 Answered - Solve the inequality algebraically. $\frac{x+2}{x-13} \leq 1$ The solution is $\square$ (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

📝 Answered - Don't drink and drive: A highway safety council reported that there were 3959 fatalities among drivers in auto accidents in a particular year. Following is a frequency distribution of their ages. Approximate the mean age. Round your answer to one decimal place. Age | Number of Fatalities ------- | -------- 11-20 | 328 21-30 | 1528 31-40 | 861 41-50 | 682 51-60 | 413 61-70 | 147 The mean is approximately what?

📝 Answered - $7 / 8 \div 7 / 16$ reduced to the lowest terms = Select one: a. 1 b. 2 c. $7 / 2$ d. $7-1 / 32$

📝 Answered - Used books cost $2.25 each. Which expression represents the total number of books that can be purchased for $10? A. $\left\lfloor\frac{10}{2.25}\right\rfloor$ B. $\left\lceil\frac{10}{2.25}\right\rceil$ C. $\frac{10}{\lceil 2.25\rceil}$ D. $\frac{10}{\lfloor 2.25\rfloor}$

📝 Answered - Solve the following system of equations algebraically: [tex]$30 x+44 y=1$[/tex] [tex]$40 x+55 y=13$[/tex].

📝 Answered - Factor the quadratic $x^2+2 x-15$. List ONLY ONE of the factors with parentheses and no spaces. Example: $(x+1)$

📝 Answered - (a) [tex]\frac{54^2 \times 12^3 \times 64^2\left(3^2 \times 4^3 \times 5^2\right)^3}{\left(3^2 \times 15 \times 20^3\right)^4}[/tex]