Express each of the following complex numbers in polar form. -5

Introductory Chemistry 5
For the reaction shown, calculate the theoretical yield of product in moles for each of the initial quantities of reactants. \(2 \mathrm{Mn}(\mathrm{s})+3 \mathrm{O}_{2}(g) \rightarrow 2 \mathrm{MnO}_{3}(\mathrm{~s})\) (a) 2 mol Mn; 2 mol \(\mathrm{O}_{2}\) (b) 4.8 mol Mn; 8.5 mol \(\m

College Physics 1
Problem 2PE (a) When rebuilding her cars engine, a physics major must exert 300 N of force to insert a dry steel piston into a steel cylinder. What is the magnitude of the normal force between the piston and cylinder? (b) What is the magnitude of the force would she have to exert if the steel parts

Physics: Principles with Applications 6
(III) The two masses shown in Fig. 452 are each initially 1.80 m above the ground, and the massless frictionless pulley is 4.8 m above the ground. What maximum height does the lighter object reach after the system is released? [Hint: First determine the acceleration of the lighter mass and then its v

Introduction to Probability, 2
A motorist goes through 4 lights, each of which is found to be red with probability 1/2 . The waiting times at each light are modeled as independent normal random variables with mean 1 minute and standard deviation 1/2 minute. Let X be the total waiting time at the red lights. (a) Use the total proba

Essentials of Understanding Psychology 11
Match each of the following treatment strategies with the statement you might expect to hear from a therapist using that strategy. Group therapy Unconditional positive regard Behavioral therapy Nondirective counseling a. In other words, you dont get along with your mother because she hates your girlf

Urban Economics 8
The Price Effects of Vouchers and Recipient Welfare Using Figure 154 as a starting point ( v is the voucher point and j is the publichousing point), suppose the $300 program increases the price of housing, from $1 to $1.50 per unit of housing. a. Draw the voucher budget line with a housing price of $

Urban Economics 8
Education Spillover Benefi ts Consider a city where the initial wage of high-school dropouts is $10. Suppose the college share of the workforce increases by 2 percent. Use a demand-supply graph of the labor market for high-school dropouts to show the effects on the dropout wage. Use the numbers provi

Applied Calculus for the Life and Social Sciences 1
In Exercises, find all second partial derivatives. \(f(x, y)=3 x^{2}-x y+2 y^{3}\)