Explain why lightbulbs almost always burn out just as they are turned on and not after they have been on for some time.

The following Walden cycle has been carried out. Explain the results, and indicate where Walden inversion occurs.

What is the measure of the angle swept out by the second hand if it starts on the 3 and continues for 3 minutes and 20 seconds?

Factor the polynomial by factoring out the greatest common factor.

$$\left(x^3-y\right)^2-\left(x^3-y\right)$$

Through years of growth, they _______ the shoreline and reach out over the sea. a. trace b. demolish c. expand d. enter

Carry out the step for the given functions f and points a. Graph f and L on the same set of axes.

$$f(x)=5-x^2 ; a=2$$

Work out each disparity. The solution set should be graphed and written in interval notation.

$$x+6 \geq 3$$

Fill each blank with the most appropriate word

An air conditioner cools a room and helps to shut out ___________ noises.

Write out the meaning of inequality. Then determine whether the inequality is true or false.

$$2 \leq-\frac{1}{2}$$

Classify the following statements as an observation (O) or a hypothesis (H): A patient breaks out in hives after receiving penicillin.

In the following problem, write out the first four terms of each sequence and state if it is geometric.

$$a_n=\cos (n \pi)$$

Factor out the greatest common factor.

$$15 r^6+20 r^4-10 r^3$$

Factor each of the following trinomials. Begin by factoring out the greatest common factor. $-b^{3}+5 b^{2}+24 b$

Factor each of the following trinomials. Begin by factoring out the greatest common factor. $5 x^{2}+30 x+40$