Prove the following theorems algebraically: (a) X(X + Y) =

Introductory Chemistry 5
Calculate the mass percent composition of each element in each compound. (a) \(\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}_{2}\) (b) \(\mathrm{CH}_{2} \mathrm{O}_{2}\) (c) \(\mathrm{C}_{3} \mathrm{H}_{9} \mathrm{~N}\) (d) \(\mathrm{C}_{4} \mathrm{H}_{12} \mathrm{~N}_{2}\)

Physics with MasteringPhysics 4
Can dimensional analysis determine whether the area of a circle is \(\pi r^{2}\) or \(2 \pi r^{2}\)? Explain.

Physics: Principles with Applications 7
Problem 27P (II) A projectile is fired with an initial speed of 36.6 m/s at an angle of 42.2 above the horizontal on a long flat firing range. Determine (a) the maximum height reached by the projectile, (b) the total time in the air, (c) the total horizontal distance covered (that is, the range), and

Fundamentals of Statistics 4
Credit Cards According to creditcard.com, \(29 \%\) of adults do not own a credit card. (a) Suppose a random sample of 500 adults is asked,"Do you own a credit card?" Describe the sampling distribution of \(\hat{p}\), the proportion of adults who own a credit card. (b) What is the probability

Chemistry 11
In determining the density of a rectangular metal bar. a student made the following measurements: length, 8.53 cm; width, 2.4 cm; height, 1.0 cm; mass, 52.7064 g. Calculate the density of the metal to the correct number of significant figures.

Chemistry: A Molecular Approach 3
Explain why CO2 and CCl4 are both nonpolar even though they contain polar bonds.

Krugman's Economics for AP® (High School) 2
In each of the following cases, state whether the income effect, the substitution effect, or both are significant. In which cases do they move in the same direction? In opposite directions? Why? a. Orange juice represents a small share of Clares spending. She buys more lemonade and less orange juice

Marketing Management 5
When you get your hair cut, what's the "core" of what you buy vs. what are the "value-addeds" in the purchase? What's a consultant's core vs. value-addeds? What are the core vs. value-addeds for music?