The answer is greater than because the equilibrium temperature would be higher in the cup with more warm water.

When heat energy is transferred to objects, the kinetic energy of the particles changes. Heat energy always moves towards equilibrium, meaning that hotter objects transfer their heat to colder objects, and at an atomic level kinetic energy is transferred from faster moving particles to slower moving particles.

There are three types of heat transfer, conduction, convection, and radiation.
Conduction: transfer of heat between two atoms that are touching
Radiation: transfer of heat by electromagnetic waves (light) where particles are not touching
Convection: transfer of heat by the movement of fluids (liquid or gas) where hot particles rise and cold particles sink

The answer is mass. Waves are energy and do not have mass.

Energy takes two forms, particles and waves. Waves can be absorbed, reflected, refracted or even diffracted depending on the medium they interact with. It’s important to understand waves because we interact with them all the time. Think about microwaves, x-ray machines, eyeglasses, tsunamis in the ocean, radios and speakers. The properties of a simple wave are:

Wavelength: The distance between one point on a wave and the exact same place on the next wave
Wave frequency:the number of cycles an object or wave goes through in 1 second
Crest: the highest point on a wave Trough: the lowest point on a wave
Period:the amount of time for the harmonic motion to repeat itself, or for the object to go one full cycle
Amplitude: The distance from the equilibrium (or center) point of the wave to either its lowest or highest point
Speed: wavelength (in m) x frequency (in Hz). It varies in solids, liquids and gases.

Wavelength is the distance between one point on a wave and the exact same place on the next wave.

Energy takes two forms, particles and waves. Waves can be absorbed, reflected, refracted or even diffracted depending on the medium they interact with. It’s important to understand waves because we interact with them all the time. Think about microwaves, x-ray machines, eyeglasses, tsunamis in the ocean, radios and speakers. The properties of a simple wave are:

Wavelength: The distance between one point on a wave and the exact same place on the next wave
Wave frequency:the number of cycles an object or wave goes through in 1 second 
Crest: the highest point on a wave Trough: the lowest point on a wave 
Period: the amount of time for the harmonic motion to repeat itself, or for the object to go one full cycle 
Amplitude: The distance from the equilibrium (or center) point of the wave to either its lowest or highest point 
Speed: wavelength (in m) x frequency (in Hz). It varies in solids, liquids and gases.

The answer is "S"

Energy takes two forms, particles and waves. Waves can be absorbed, reflected, refracted or even diffracted depending on the medium they interact with. It’s important to understand waves because we interact with them all the time. Think about microwaves, x-ray machines, eyeglasses, tsunamis in the ocean, radios and speakers. The properties of a simple wave are:

Wavelength: The distance between one point on a wave and the exact same place on the next wave
Wave frequency:the number of cycles an object or wave goes through in 1 second
Crest: the highest point on a wave
Trough: the lowest point on a wave
Period:the amount of time for the harmonic motion to repeat itself, or for the object to go one full cycle
Amplitude: The distance from the equilibrium (or center) point of the wave to either its lowest or highest point
Speed: wavelength (in m) x frequency (in Hz). It varies in solids, liquids and gases.

The answer is Q

Energy takes two forms, particles and waves. Waves can be absorbed, reflected, refracted or even diffracted depending on the medium they interact with. It’s important to understand waves because we interact with them all the time. Think about microwaves, x-ray machines, eyeglasses, tsunamis in the ocean, radios and speakers. The properties of a simple wave are:

Wavelength: The distance between one point on a wave and the exact same place on the next wave
Wave frequency:the number of cycles an object or wave goes through in 1 second
Crest: the highest point on a wave
Trough: the lowest point on a wave
Period: the amount of time for the harmonic motion to repeat itself, or for the object to go one full cycle
Amplitude: The distance from the equilibrium (or center) point of the wave to either its lowest or highest point
Speed: wavelength (in m) x frequency (in Hz). It varies in solids, liquids and gases.

The answer is T

Energy takes two forms, particles and waves. Waves can be absorbed, reflected, refracted or even diffracted depending on the medium they interact with. It’s important to understand waves because we interact with them all the time. Think about microwaves, x-ray machines, eyeglasses, tsunamis in the ocean, radios and speakers. The properties of a simple wave are:

Wavelength: The distance between one point on a wave and the exact same place on the next wave
Wave frequency:the number of cycles an object or wave goes through in 1 second
Crest: the highest point on a wave
Trough: the lowest point on a wave
Period: the amount of time for the harmonic motion to repeat itself, or for the object to go one full cycle
Amplitude: The distance from the equilibrium (or center) point of the wave to either its lowest or highest point
Speed: wavelength (in m) x frequency (in Hz). It varies in solids, liquids and gases.

The answer is "period" because period is an amount of time, and not listed on this diagram.

Energy takes two forms, particles and waves. Waves can be absorbed, reflected, refracted or even diffracted depending on the medium they interact with. It’s important to understand waves because we interact with them all the time. Think about microwaves, x-ray machines, eyeglasses, tsunamis in the ocean, radios and speakers. The properties of a simple wave are:

Wavelength: The distance between one point on a wave and the exact same place on the next wave
Wave frequency:the number of cycles an object or wave goes through in 1 second
Crest: the highest point on a wave
Trough: the lowest point on a wave
Period: the amount of time for the harmonic motion to repeat itself, or for the object to go one full cycle
Amplitude: The distance from the equilibrium (or center) point of the wave to either its lowest or highest point
Speed: wavelength (in m) x frequency (in Hz). It varies in solids, liquids and gases.

The answer is 1.75 Hz because the wave goes through 1.75 full cycles.

Energy takes two forms, particles and waves. Waves can be absorbed, reflected, refracted or even diffracted depending on the medium they interact with. It’s important to understand waves because we interact with them all the time. Think about microwaves, x-ray machines, eyeglasses, tsunamis in the ocean, radios and speakers. The properties of a simple wave are:

Wavelength: The distance between one point on a wave and the exact same place on the next wave
Wave frequency:the number of cycles an object or wave goes through in 1 second
Crest: the highest point on a wave
Trough: the lowest point on a wave
Period: the amount of time for the harmonic motion to repeat itself, or for the object to go one full cycle
Amplitude: The distance from the equilibrium (or center) point of the wave to either its lowest or highest point
Speed: wavelength (in m) x frequency (in Hz). It varies in solids, liquids and gases.

The answer is "the period" because wave speed is wavelength times frequency and you cannot calculate frequency without the period.

Energy takes two forms, particles and waves. Waves can be absorbed, reflected, refracted or even diffracted depending on the medium they interact with. It’s important to understand waves because we interact with them all the time. Think about microwaves, x-ray machines, eyeglasses, tsunamis in the ocean, radios and speakers. The properties of a simple wave are:

Wavelength: The distance between one point on a wave and the exact same place on the next wave
Wave frequency:the number of cycles an object or wave goes through in 1 second
Crest: the highest point on a wave
Trough: the lowest point on a wave
Period: the amount of time for the harmonic motion to repeat itself, or for the object to go one full cycle
Amplitude: The distance from the equilibrium (or center) point of the wave to either its lowest or highest point
Speed: wavelength (in m) x frequency (in Hz). It varies in solids, liquids and gases.

The answer is "the distance from the equilibrium point on a wave and either a crest or a trough"

Energy takes two forms, particles and waves. Waves can be absorbed, reflected, refracted or even diffracted depending on the medium they interact with. It’s important to understand waves because we interact with them all the time. Think about microwaves, x-ray machines, eyeglasses, tsunamis in the ocean, radios and speakers. The properties of a simple wave are:

Wavelength: The distance between one point on a wave and the exact same place on the next wave
Wave frequency:the number of cycles an object or wave goes through in 1 second
Crest: the highest point on a wave
Trough: the lowest point on a wave
Period: the amount of time for the harmonic motion to repeat itself, or for the object to go one full cycle
Amplitude: The distance from the equilibrium (or center) point of the wave to either its lowest or highest point
Speed: wavelength (in m) x frequency (in Hz). It varies in solids, liquids and gases.