29. A student incorrectly simplifies an expression.The expression and the student's work are shown below. 5-((40)/(5)) Step A: 5+((-40)/(-5)) Step B: 5+8 Step C: 13 In which step did the student first make an error? Be sure to include the correct value of the expression in simplest form in your answer. Explain your answer.

Simplify each expression. $\frac {1}{6c^{2}d}+\frac {3}{4cd^{3}}$ $\frac {2cd^{2}+9cd}{12c^{3}d^{4}}$ $\frac {11cd^{2}}{12c^{2}d^{3}}$ $\frac {2d^{2}+9c}{12c^{2}d^{3}}$ $\frac {4}{6c^{3}d^{4}}$

Order the expressions by choosing $\langle ,\rangle $ ,or $\equiv $ $7^{-2}\square 7^{-1}$ $(\frac {1}{7})^{-1}\square 7^{-2}$ $(\frac {1}{7})^{-2}\square (\frac {1}{7})^{-1}$

Write the expression below as a single logarithm in simplest form. $log_{b}9-log_{b}3$ Answer Attemptiout of 2 $log_{b}(\square )$

Use the formula for the cosine of the difference of two angles to find the exact value of the expression $cos(\frac {\pi }{4}-\frac {5\pi }{6})$ Rewrite the expression using a sum or difference formula. Choose the correct answer below. A. $sin\frac {5\pi }{6}cos\frac {5\pi }{6}-sin\frac {\pi }{4}cos\frac {\pi }{4}$ B. $cos\frac {\pi }{4}cos\frac {5\pi }{6}+sin\frac {\pi }{4}sin\frac {5\pi }{6}$ C $cos\frac {\pi }{4}cos\frac {5\pi }{6}-sin\frac {\pi }{4}sin\frac {5\pi }{6}$ D. $sin\frac {\pi }{4}cos\frac {5\pi }{6}+cos\frac {\pi }{4}sin\frac {5\pi }{6}$ Find the exact value of the expression. $cos(\frac {\pi }{4}-\frac {5\pi }{6})=\square $

2. Which of the following sets is invertible? $\{ (-6,3),(-4,7),(-2,3),(0,8)\} $ $\{ (-5,8),(-2,12),(8,-5),(12,14)\} $ $\{ (0,1),(1,1),(2,1),(3,1)\} $ $\{ (-3,5),(-3,6),(-3,7),(-3,8)\} $

Evaluate the following definite integral to two decimal places. $\int _{0}^{30}e^{0.03t}e^{0.05(30-t)}dt$ $\int _{0}^{30}e^{0.03t}e^{0.05(30-t)}dt=\square $ (Round to two decimal places as needed.)

Samantha charges $\$ 20$ for 8 bracelets . At the same rate how much would she charge for 2 bracelets? $\$ 20$ $\$ 8$ $\$ 2$ $\$ 5$

3. Which is a solution of $2x+6\gt 12$ $x\gt 5$ $x\gt -1$ $x\gt 0$ $x\gt 3$

If $r(x)=3x-1$ and $s(x)=2x+1$ $\frac {3(6)-1}{2(6)+1}$ $\frac {(6)}{2(6)+1}$ $\frac {36-1}{26+1}$ $\frac {(6)-1}{(6)+1}$

Use dimensional analysis to convert the quantity to the indicated units. 27,540 ft to mi $27,540ft=\square mi$ (Round to the nearest hundredth as needed.)