higher temp = higher energy = higher frequency = shorter wavelength
Answer:
-75.35°
Explanation:
Let C be the sum of the two vectors A and B. Hence, we can write the following

but since the vector C is in the -y direction,
= 0 and
= —12 m.
Thus
![B_{x} =-A_{x} =-[-Acos(180-127)]=(8)*cos(53)\\B_{x} =4.81m](https://tex.z-dn.net/?f=B_%7Bx%7D%20%3D-A_%7Bx%7D%20%3D-%5B-Acos%28180-127%29%5D%3D%288%29%2Acos%2853%29%5C%5CB_%7Bx%7D%20%3D4.81m)
similarly, we can determine
by rearranging equation (1)

so the magnitude of B is

Finally, the direction of B can be calculated as follows
Ф=
hence the vector B makes an angle of 75.35 clockwise with + x axis
Answer:
For a gas held at constant temperature, we can apply Boyle's law, which states that the product between the gas pressure and its volume is constant:

where
P is the pressure
V is the volume
As we see from the equation, P and V are inversely proportional to each other: this means that when the volume is decreased, the pressure increases, and vice-versa. The reason for that is that when the volume is decreased, the gas is compressed, so the molecules of the gas come closer to each other, so they collide more frequently with the wall of the container, exerting therefore a greater pressure.
Although hand specimen identification is some what of an art; igneous rocks are classified using two critiria:
•Texture
•Chemical and mineral composition
Most of the time the rock name, such as basalt or granite, reflects the chemical composition. The minerals and textures are used as adjectives that modify the rock name. You might see a name like an olivine basalt or a quartz porphyry rhyolite.
Answer:
B
Volume decreases due to less molecular motion of the gas inside the football.
Explanation:
Assuming that the atmospheric pressure (and therefore, the pressure of the air inside the football) remains constant, this means that we can apply Charle's law, which states that:
"For a fixed amount of gas kept at constant pressure, the volume of the gas is proportional to its absolute temperature"
Mathematically:

where
V is the volume of the gas
T is its absolute temperature
In the winter month, the air becomes colder, which means that the temperature of the air (and of the gas inside the football) decreases. As the average kinetic energy of the molecules of a gas is proportional to its absolute temperature, this also means that there will be less molecular motion in the gas, and therefore (as stated by Charle's law) the volume of the gas also decreases.