Questions in mathematics

Questions in mathematics

📝 Answered - For what value of [tex]$x$[/tex] does [tex]$4^x=\left(\frac{1}{8}\right)^{x+3} ?$[/tex]

📝 Answered - Select the correct answer. What is the justification for step 4 in the solution process? Step 1 : [tex]\frac{9}{2} b+11-\frac{5}{6} b=b+2[/tex] Step 2 : [tex]\frac{22}{6} b+11=b+2[/tex] Step 3 : [tex]\frac{8}{3} b+11=2[/tex] Step 4 : [tex]\frac{8}{3} b=-9[/tex] [tex]b=-\frac{27}{8}[/tex] A. combining like terms B. the multiplication property of equality C. the subtraction property of equality D. the addition property of equality

📝 Answered - [tex]\int_0^1 \frac{e^x}{e^x-2} d x[/tex]

📝 Answered - Solve for the values of $k$ for which $\log (3 k+3)+\log k-\log 36=0$.

📝 Answered - Solve the following equation: [tex]$\frac{3}{4}+(\frac{-6}{11})+(\frac{-8}{21})+(\frac{5}{22})$[/tex] A) [tex]$-\frac{125}{462}$[/tex] B) [tex]$\frac{125}{462}$[/tex] C) [tex]$\frac{462}{125}$[/tex] D) [tex]$-\frac{462}{125}$[/tex]

📝 Answered - Which of the following expressions are equivalent to $-\left(\frac{8}{3}\right)$? Choose all answers that apply: A. $\frac{8}{-3}$ B. $-\frac{8}{-3}$ C. None of the above

📝 Answered - solve for x given answers were None of the other answers are correct 11 15 3 12

📝 Answered - Water drips from a faucet at a rate of 41 drops/minute. Assuming there are 15,000 drops in a gallon, how many minutes would it take for the dripping faucet to fill a 1-gallon bucket? Round your answer to the nearest whole number.

📝 Answered - Solve the equation. [tex]\begin{array}{c} 500 \cdot 2^{0.07 x}=1000 \\ x=[?]\\ \end{array}[/tex]

📝 Answered - A parabola has a vertex at $(0,0)$. The equation for the directrix of the parabola is $x=-4$. In which direction does the parabola open? up down right left