Solve each equation. $3 x^{2}-5 x=0$

Find the curve $\mathbf { r } = \mathbf { r } ( t )$ for which $\kappa ( t ) = 1$ and $\tau ( t ) = 1$ for all $t$, and $\mathbf { r } ( 0 ) = \hat { \mathbf { T } } ( 0 ) = \mathbf { i } , \hat { \mathbf { N } } ( 0 ) = \mathbf { j },$ and $\hat { \mathbf { B } } ( 0 ) = \mathbf { k }$.

The protein sorting pathway involves the following organelles/ compartments in order: a. SER, RER, transport vesicle, Golgi. b. RER, lysosome, Golgi. c. RER, transport vesicle, Golgi, final destination. d. Golgi, transport vesicle, RER, final destination.

Write an expression for each statement. Shari has g gel pens and Jennifer has 8 fewer gel pens.

One of the most significant themes of the period from 1945 to the 1980s is the growth of the power of the federal government. (See "Politics and Power" and "American and National Identity" on the thematic timeline on p. 746.) In what ways is the civil rights movement also part of that story?

Use the column-row expansion of AB to express this product as a sum of matrices. A = [1 2 3, 4 5 6], B = [1 2, 3 4, 5 6]

Where are all points whose x-coordinates equal the negative of their y-coordinates?

Find $\mathbf{v} \times \mathbf{w}$ for the vectors given.

$$\mathbf{v}=\mathbf{k} ; \mathbf{w}=\mathbf{k}$$

Laura borrowed a total of $22,000 from two different banks to start a business. One bank charged the equivalent of 4% simple interest, and the other charged 5.5% interest. If the total interest after 1 yr was$910, determine the amount borrowed from each bank.

The portion of a nerve cell that conducts signals is called an axon. Many of the electrical properties of axons are governed by ion channels, which are protein molecules that span the axon’s cell membrane. When open, each ion channel has a pore that is filled with fluid of low resistivity and connects the interior of the cell electrically to the medium outside the cell. In contrast, the lipid-rich cell membrane in which ion channels reside has very high resistivity. Cell membranes across a wide variety of organisms have a capacitance per unit area of $1 \mu F / c m^{2}$. For the electrical signal in a nerve to propagate down the axon, the charge on the membrane “capacitor” must change. What time constant is required when the ion channels are open? (a) $1 \mu \mathrm{s}$; (b) $10 \mu \mathrm{s}$; (c) $100 \mu \mathrm{s}$; (d) 1 ms.

Solve each polynomial inequality and graph the solution set on a real number line. Express each solution set in interval notation.

$$x ^ { 2 } + 5 x + 4 > 0$$

Select the letter of the choice that best completes the statement. A decrease in the production of insulin causes: (a.) diabetes mellitus (b.) diabetes insipidus (c.) cretinism (d.) exophthalmos

Now that you have analyzed some number tricks with algebraic reasoning, you can adapt those arguments to design your own trick. a. Create a similar number trick. Test it with other students to see if it works as intended. b. Develop an algebraic argument to prove the trick that you created will work in every case.

Use the method to calculate the step response of the system with transfer function $\frac{z}{z-\frac{1}{2}}$ Verify the result by direct calculation.