MathGeometry
Draw a Venn Diagram That Illustrates the Situation Described: Disjoint Subsets
Draw two non-overlapping subsets inside a universal set and connect the picture to the statement that their intersection is empty.
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MathAlgebra
Find a Direct Variation Model That Relates y and x: Treadmill Calories
Find the constant of direct variation from 315 calories in 18 minutes, then predict the calories for 25 minutes using Raoul’s treadmill model.
MathGeometry
Find a Plane Containing a Line and Parallel to Another Line
Use two skew lines to find the plane containing the first and parallel to the second, then verify both conditions.
MathLinear Algebra
Consider the Following Three Systems of Linear Equations: Solve and Interpret
Solve three University of Nebraska–Lincoln linear systems and interpret each solution set geometrically.
MathCalculus
Find the Limit by Rewriting the Fraction First at (1, 1)
Rewrite a difference-of-squares quotient on its domain and evaluate its two-variable limit at (1, 1).
ChemistryGeneral Chemistry
Write the Empirical Formula of at Least Four Binary Ionic Compounds from Fe²⁺, Ni⁴⁺, I⁻, and S²⁻
Find four charge-neutral empirical formulas from Fe²⁺, Ni⁴⁺, I⁻ and S²⁻, with each ion ratio checked and a clear stability boundary.
ChemistryGeneral Chemistry
Identify Energy Exchanges as Primarily Heat or Work and Determine the Sign of ΔE
Classify sweat evaporation, balloon expansion and flame heating as heat or work and assign each defined system its energy-change sign.
ChemistryGeneral Chemistry
Consider the Following Waves Representing Electromagnetic Radiation: Wavelength, Frequency, and Photon Energy
Read four and eight wave cycles across 1.6 × 10⁻³ m, then calculate wavelength, frequency and photon energy and compare speed and spectrum class.
PhysicsClassical Physics
Find the Height yᵢ from Which the Rock Was Launched in a Projectile Motion Problem
Choose the correct trajectory and origin, then use horizontal travel and vertical motion to find both rock-launch heights to three significant figures.