Questions in mathematics

Questions in mathematics

📝 Answered - Consider $8^{x-4}=8^{10}$. Because the bases are equal, the exponents must also be equal. Complete the solution to the equation is $x=$?

📝 Answered - Which equation is equivalent to $\sqrt{x}+11=15$? A. $x+11=225$ B. $x+121=225$ C. $\sqrt{x}=15+11$ D. $\sqrt{x}=15-11$

📝 Answered - Liam is packing his room to move into a new house. A small box can hold 8 books without breaking, while a large box can hold 12 books without breaking. He has at least 160 books to pack and less than 30 boxes total. Let s represent the number of small boxes and l represent the number of large boxes. The inequalities [tex]$s \geq 0$[/tex] and [tex]$l \geq 0$[/tex] are part of the system that models this scenario. Which inequalities complete the system? A. [tex]$s+l\ \textless \ 30$[/tex] and [tex]$8s+12l \leq 160$[/tex] B. [tex]$s-l\ \textless \ 30$[/tex] and [tex]$8s-12l \leq 160$[/tex] C. [tex]$s+l\ \textgreater \ 30$[/tex] and [tex]$8s+12l \leq 160$[/tex] D. [tex]$s+l\ \textless \ 30$[/tex] and [tex]$8s+12l \geq 160$[/tex]

📝 Answered - Solve each equation by graphing. 39. $x^3-3 x^2-6 x+8=0$ 40. $x^3-8 x^2+15 x=0$

📝 Answered - If [tex]log_{10} 8 = 0.9031[/tex], find the value of [tex]log_{10} 16[/tex].

📝 Answered - Which summation properties or formulas must be used to evaluate this summation? Check all that apply. [tex]$\sum_{n=1}^{35} n\left(n^2+1\right)$[/tex] [tex]$\sum_{i=1}^n c=c n$[/tex] [tex]$\sum_{i=1}^n i=\frac{n(n+1)}{2}$[/tex] [tex]$\sum_{i=i_0}^n c a_i=c \sum_{i=i_0}^n a_i$[/tex] [tex]$\sum_{i=1}^n i^2=\frac{n(n+1)(2 n+1)}{6}$[/tex] [tex]$\sum_{i=i_0}^n\left(a_i \pm b_i\right)=\sum_{i=i_0}^n a_i \pm \sum_{1=1}^n b_i$[/tex] [tex]$\sum_{i=1}^n i^3=\left[\frac{n(n+1)}{2}\right]^2$[/tex]

📝 Answered - Dwayne had a balance of $95.13 in his checking account on Monday morning. That day he used his debit card for the following transactions: Breakfast at the corner bagel shop: $8.53 Gas in the car: $28.60 Cable bill: $65.39 Oil change: $30.64 Dwayne's bank uses a balance system of debiting from highest to lowest. The bank will not return amounts up to a total of $50 in overdrafts, but they do charge a fee for each overdraft. How many overdraft fees will Dwayne incur? A. 1 B. 2 C. 3 D. 4

📝 Answered - Find the inverse of the matrix below. [tex]\begin{array}{c}{\left[\begin{array}{cc}14 & 5 \\6 & 3\end{array}\right]} \\{\left[\begin{array}{ll}?] & \square \\\square & \square\end{array}\right]}\end{array}[/tex] If necessary, round to the nearest hundredth.

📝 Answered - What's $|5|+|-7|$? A) -12 B) 2 C) -2 D) 12

📝 Answered - Use Descartes' Rule of Signs to determine the number of positive real zeroes, negative real zeroes, and imaginary zeroes.