Prove that if x is irrational, then 1/x is irrational.

Physics: Principles with Applications 6
Problem 4P A fishermans scale stretches 3.6 cm when a 2.7-kg fish hangs from it. (a) What is the spring stiffness constant and (b) what will be the amplitude and frequency of vibration if the fish is pulled down 2.5 cm more and released so that it vibrates up and down?

Fundamentals of Statistics 4
Luxury or Necessity? A random sample of 1003 adult Americans was asked, "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1003 adults surveyed, 521 indicated that televisions are a luxury they could do without. (a) Obtain a point estimate for the popula

Anatomy & Physiology 1
Which is moved the least during muscle contraction? a. the origin b. the insertion c. the ligaments d. the joints

Essentials of Human Anatomy & Physiology 11
Define hyperventilation. If you hyperventilate, do you retain or expel more carbon dioxide? What ef- fect does hyperventilation have on blood pH? On breathing rate?

Biology 2e by Openstax
Which of the following is not an example of an energy transformation? a. turning on a light switch b. solar panels at work c. formation of static electricity d. none of the above

Urban Economics 8
Consider the example shown in Figure 139 . The initial net return is $70 in each activity, and there are 20 people in each activity. Suppose that instead of increasing the burglary penalty, we decrease the net return to lawful activity by half. This change is represented by a downward shift by $35 of

Physical Science 11
The law of conservation of mass means that a. atoms are not lost or destroyed in a chemical reaction. b. the mass of a newly formed compound cannot be changed. c. in burning, part of the mass must be converted into fire in order for mass to be conserved. d. molecules cannot be broken apart because

College Physics: Explore and Apply 2
A 0.62-kg Slinky has 185 coils. When you and your friend stretch the Slinky by exerting a 2.0-N force on its ends, the separation between the adjacent coils is 7 cm. Determine the speed of the transverse wave on the Slinky.