Questions in mathematics

Questions in mathematics

📝 Answered - Evaluate: [tex]\begin{array}{r} \sum_{n=1}^{10} 5(3)^{n-1} \ S=[?]\end{array}[/tex] Remember: for a geometric series, [tex]S=\frac{a\left(1-r^n\right)}{1-r}[/tex]

📝 Answered - If [tex]f(x)=5 x^3-2[/tex] and [tex]g(x)=2 x+1[/tex], find [tex](f+g)(x)[/tex]. A. [tex]10 x^3-2[/tex] B. [tex]5 x^3+2 x-1[/tex] C. [tex]3 x^3-1[/tex] D. [tex]3 x^2-1[/tex]

📝 Answered - What are the potential solutions to the equation below? [tex]2 \ln (x+3)=0[/tex] A. [tex]x=-3[/tex] and [tex]x=-4[/tex] B. [tex]x=-2[/tex] and [tex]x=-4[/tex] C. [tex]x=2[/tex] and [tex]x=-3[/tex] D. [tex]x=2[/tex] and [tex]x=4[/tex]

📝 Answered - $9^{3 c}+1=27^{3 c}-1

📝 Answered - A placement test for state university freshmen has a normal distribution with a mean of 600 and a standard deviation of 30. The bottom 4% of students must take a summer session. What is the minimum score you would need to stay out of this group?

📝 Answered - Answer each question about the following arithmetic sequence: [tex]$-20,-16,-12,-8,-4, \ldots$[/tex] What is the 30th term of the sequence? [tex]$a_{30}= $[/tex]

📝 Answered - Rewrite the equation $3 x-5 y=30$ in slope-intercept form. a. $y=-\frac{2}{5} x+30$ b. $y=-\frac{5}{3} x-6$ c. $x=\frac{5}{3} y-6$ d. $y=\frac{3}{5} x-6$

📝 Answered - Solve the system of equations: [tex] \begin{array}{l} y=7 x-9 \ y=7 x+7 \end{array} [/tex] A. (-4,1) B. (-4,-1) C. (4,1) D. No solution

📝 Answered - Solve the system of equations: [tex]\left\{\begin{array}{l} y=-2 x+4 \ y=-3 x+5\n\end{array}\right.[/tex] Solution: ( $\square$ , $\square$ )

📝 Answered - 1. [tex]$\frac{1}{6} \times \frac{5}{9}=[/tex] 2. [tex]$\frac{6}{7} \times \frac{2}{9}=[/tex] 3. [tex]$\frac{5}{24} \times \frac{8}{15}=[/tex] 4. [tex]$2 \frac{11}{12} \times \frac{2}{5}=[/tex] 5. [tex]$4 \frac{9}{10} \times 1 \frac{1}{7}=[/tex] Copy and answer. Write the answer in simplest form.