Part 3: Complex Numbers For each problem below simplify and write the result in n a+bi format. a+bi 5. (6-7i)-(12+-4i) 6. (2-5i)(3+8i)

What percent of the data in a set are less than the lower quartile? Explain.

If $f(x)=sin^{3}x$ find $f'(x)$ $\square $ Find $f'(4)$ $\square $

Simplify without a calculator: $cos(48^{\circ })cos(12^{\circ })-sin(48^{\circ })sin(12^{\circ })$ $=?\vee (\square ^{\circ })$ $=\square $

$17k^{2}m^{3}$ $2x+1$ $126x^{4}yz$ 8 21xyz $147xy$

10. Perform the operation: Must show your work. (6 pts) $\frac {8}{33}\div \frac {12}{55}$

A perfect square trinomial can be represented by a square model with equivalent length and width.. Which polynomial can be represented by a perfect square model? $x^{2}-6x+9$ $x^{2}-2x+4$ $x^{2}+5x+10$ $x^{2}+4x+16$

Simplify. Express your answer as a single fraction in simplest form. $\frac {8}{8b^{2}+11b-5}+3b+7$ $\square $

(b) $\int _{0}^{3}\frac {2x}{\sqrt {9-x^{2}}}dx$

Exemplar A pencil is 150 millimeters long What is the length in centimeters?

7. Janet's has $\$ 242$ in her savings account. She spent $\$ 12.10$ to purchase a bracelet. What percent of her saving account did Janet spend on the bracelet? % more