In 2009, the federal government budget was $3.1 trillion ($3,100,000,000,000). The government was looking to cut costs. a. If it decided to cut 1%, how much money did it cut? b. If the government reduced the budget by 7%, how much money did it cut? c. If the government eliminated $93 billion ($93,000,000,000) from the budget, what percentage did it cut?

What happens to the standard deviation of $\hat{p}$ as the sample size increases? If the sample size is increasing by a factor of 4, what happens to the standard deviation of $\hat{p}$?

A cone-shaped holiday decoration has a height of 12 inches. Find the volume of the decoration if it has a radius of 2.5 inches. Round to the nearest tenth.

Find

$$\mathbf { u } \times \mathbf { v }$$

and check that it is orthogonal to both u and v. u=3i+2j-k, v=-i-3j+k

Find the product. Write the product in simplest form.

$$2 \times \frac { 1 } { 8 }$$

Use your notes to describe three styles of leadership and explain both positive and negative aspects of the three styles.

Let

$$f ( x ) = x ^ { 2 } - x - 4 \text { and } g ( x ) = 2 x - 6$$

$$\text { Find } f ( - x ) . \text { Is } f \text { even, odd, or neither? }$$

Use graph paper to solve the following problem. a. Draw a four quadrant graph and label each axis. Plot the following ordered pairs: (-3,2), (-8,2), (-10,8),and (-5,8). Connect the points in the given order as you plot them. Then connect the fourth point to the first one. b. Describe the shape on your graph. What is its area?

For each of the shapes formed by algebra tiles below: Use tiles to build the shape. Sketch and label the shape on your paper. Then write an expression that represents the perimeter. Simplify your perimeter expression as much as possible. This process of writing the expression more simply by collecting together the parts of the expression that are the same is called combining like terms.

Prove the identities assuming that the appropriate partial derivatives exist and are continuous.

$$\operatorname { curl } ( f \mathbf { F } ) = f \operatorname { curl } ( \mathbf { F } ) + ( \nabla f ) \times \mathbf { F }$$

Which best describes President Carter's attempts to free the hostages in Iran?

a) The first attempt was successful.

b) The second attempt was successful.

c) All of the attempts failed.

d) No attempts were made.

The amounts of time Facebook users spend on the website each month are normally distributed, with a mean of 6.7 hours and a standard deviation of 1.8 hours. Find the probability that a Facebook user spends less than four hours on the website in a month. Is this an unusual event? Explain.

Find the product of the complex number and its conjugate.

$$2-3i$$

Factor the polynomial completely.

$$x^4+5x^2-6$$