If the graph of an equation is symmetric with respect to the origin and -4 is an x-intercept of this graph, name another x-intercept.

Yes or No? If No, give a reason. If the graph of an equation is symmetric with respect to the origin, is it necessarily symmetric with respect to the x- or y-axes?

If the graph of an equation is symmetric with respect to the y-axis and 6 is an x-intercept of this graph, name another x-intercept.

If No, give a reason. If the graph of an equation is symmetric with respect to both the x- and y-axes, is it necessarily symmetric with respect to the origin?

(a) If a graph is symmetric with respect to the x-axis and (a, b) is on the graph, then (____, ) is also on the graph. (b) If a graph is symmetric with respect to the y-axis and (a, b) is on the graph, then (, ) is also on the graph. (c) If a graph is symmetric about the origin and (a, b) is on the graph, then (, ____) is also on the graph.

Choose the letter that best answers the question or completes the statement. Acceleration is equal to a. distance divided by time. b. change in speed divided by time. c. the slope of a distance-time graph. d. change in speed multiplied by time.

A 5-liter container of crude oil spills in the ocean. It has a mass of 4.10 kg. What is its density? If 1 liter of ocean water has a density of 1 03 kg, does the crude oil sink or float? Explain.

If the electric field in free space is $\mathbf{E}=E_{0}(\hat{\mathbf{x}}+\hat{\mathbf{y}}) \sin [(2 \pi / \lambda)(z+c t ) ]$ with $E_{0}=20$ volts/m, then the magnetic field, not including any static magnetic field, must be what?

Mitochondrial DNA is inherited from the father.

A straight wire of length 0.62 m carries a conventional current of 0.8 A. What is the magnitude of the magnetic field vmade by the current at a location that is a perpendicular distance 2.9 cm from the center of the wire? Use both the exact equation and the approximate equation to calculate the field.

Determine whether each statement is true or false. If the statement is false, provide the correct answer.

$$\begin{array}{ll}{U=\{0,1,2,3,4,5,6, \ldots\}} \\ {W=\{\text { whole numbers }\}} & {N=\{\mathrm{~ n a t u r a l ~ n u m b e r s \} ~}} \\ {P=\{\mathrm{~ p o s i t i v e ~ i n t e g e r s \} ~}} & {M=\{1,3,5,7\}}\end{array}$$

$$P \cup N^{\prime}=W$$

Each of the statements describes a function. Indicate what the variables represent and write an equation of the function. Paloma University found that a good estimate of its operating budget is $5,000,000 plus$3500 per student.

Suppose that a person with 20/20 vision stands 30 ft from a Snellen eye chart. Which answer below is closest to the minimum height of the letters the person can distinguish? (a) 4.4 mm (b) 6.6 mm (c) 8.8 mm (d) 13 mm (e) 18 mm

Write the following equations without logarithms, assuming all terms are positive: ln F = -ln p + 2