Find each product.

$$0 \left[ \begin{array} { r r } { 5.3 } & { - 7.2 } \\ { - 1.8 } & { 0.6 } \end{array} \right]$$

Fill in the blanks with the terms that best complete the following sentence. The ___________ causes currents in open -water to move in a curved path rather than a straight path.

An inkjet color printer uses tiny dots of red, green, and blue ink to produce an image. At normal viewing distances, the eye does not resolve the individual dots, so that the image has a normal look. The angle

$$\theta _ { \mathrm { min } }$$

is the minimum angle that two dots can subtend at the eye and still be resolved separately. (a) For which color does

$$\theta _ { \mathrm { min } }$$

have the largest value? (b) For which color does

$$\theta _ { \mathrm { min } }$$

have the smallest value? (c) Corresponding to each value of

$$\theta _ { \mathrm { min } }$$

there is a value for the separation distance s between the dots. How is

$$\theta _ { \min }$$

related to s and the viewing distance L? (d) Assume that the dot separation on the printed page is the same for all colors and is chosen so that none of the colored dots can be seen as separate objects. Should the maximum allowable dot separation be less than

$$s _ { \mathrm { red } } , s _ { \mathrm { green } } , \text { or } s _ { \mathrm { blue } } ?$$

For each answer, give your reasoning. The wavelengths for red, green, and blue are

$$\lambda _ { \operatorname { red } } = 660 \mathrm { nm } , \lambda _ { \mathrm { green } } = 550 \mathrm { nm } , \text { and } \lambda _ { \mathrm { blue } } = 470 \mathrm { nm }$$

The diameter of the pupil through which light enters the eye is 2.0 mm. For a viewing distance of 0.40 m, what is the value for the dot separation identified in (d)?

How does heat from the Sun get to Earth? a. conduction b. convection c. thermal radiation

Decide whether the boldface words make the statements true or false. If you have trouble cutting a steak, it might help to $\textbf{whet}$ your knife.

Give the two binary representations of 3/8 and 7/16.

Find a logistic regression model for Illinois’s population, and use it to predict the population in 2010.

An apple modeled by taking all the points in and on a sphere of radius 2 in. is cored with a vertical cylinder of radius 1 in. Use inequalities in cylindrical coordinates to describe the set of all points that remain in the apple once the core is removed. using inequalities in spherical coordinates

Use a graphing utility to solve each equation. Express the solution(s) rounded to two decimal places. $\sin x+\cos x=x$

For each of the following pairs of atoms or ions, state which you expect to have the larger radius. (a) Sm or Sm3+ (b) Mg or Ca (c) I- or Xe (d) Ge or As (e) Sr+ or Rb

Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t)=-32, v(0)=50, s(0)=0

Solve the inequality. Check your solution.

$$6h - 10 \geq 32$$

solve the given differential equation. If an initial condition is given, also find the solution that satisfies it. dydx=xx2y+y3Hint:Let u=x2

Simplify each exponential expression.

$$\frac { x ^ { 14 } } { x ^ { - 7 } }$$