Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the grap zero. \( f(x)=x^{3}-34 x^{2}+289 x \) Determine the zero(s), if they exist. The zero(s) is/are (Type integers or decimals. Use a comma to separate answers as needed.)

Solve the quadratic equation by using the quadratic formula. \[ x^{2}=3 x+5 \]

\( 5 \cos (2 t)=5 \cos ^{2}(t)-4 \) \( t=\square \) help (angles)

2. Describe the preparation of 2.00 L of \( 0.100 \mathrm{M} \mathrm{Na}_{2} \mathrm{CO}_{3} \) from the solid. 3. Describe the preparation of 2.00 L of \( 0.100 \mathrm{M} \mathrm{Na}^{+} \)from pure \( \mathrm{Na}_{2} \mathrm{CO}_{3} \). 4. Calculate the p-value for each ion in a solution that is \( 2.00 \times 10^{-3} \mathrm{M} \) in \( \mathrm{NaC} \ell \) and \( 5.4 \times 10^{-4} \mathrm{M} \) in \( \mathrm{HC} \ell \). 5. Sea water contains up to \( 8 \times 10^{-6} \mathrm{ppm} \) gold. What is the pAu value for sea water? 6. Calculate the concentration and the pK value of potassium ion in \( \mathrm{g} / / \) after mixing 100 ml of 0.250 M \( \mathrm{KC} \ell \) and 200 ml of \( 0.100 \mathrm{M}_{2} \mathrm{SO}_{4} \).

Answer parts (a)-(e) for the function shown below. \( \mathrm{f}(\mathrm{x})=\mathrm{x}^{3}+3 \mathrm{x}^{2}-\mathrm{x}-3 \) a. Use the leading coefficient test to determine the graph's end behavior. Which statement describes the behavior at the ends of \( \mathrm{f}(\mathrm{x})=\mathrm{x}^{3}+3 \mathrm{x}^{2}-\mathrm{x}-3 \) ? A . The graph falls to the left and rises to the right. B . The graph rises to the left and falls to the right. C. The graph falls to the left and to the right. D . The graph rises to the left and to the right. b. Find the x -intercepts. State whether the graph crosses the x -axis, or touches the x -axis and turns around, at each intercept. What are the x -intercepts? \( \mathrm{x}=\square \) (Type an integer or a decimal. Use a comma to separate answers as needed.) ）

A single fair die is tossed. Find the probability of rolling a number greater than 2. What is the total number of possible outcomes? 6 What is the number of outcomes greater than 2?