Optometry Admission

Solve this algebraically. Solve for x (amount fifth person gets paid). x = [((4 x 12) + x) / 5] + 3
5x = 48 + x + 15
5x = 63 + x
4x = 63
x = 15.75

The 5th friend makes $15.75. This can be confirmed by adding up all 5 people's pay and finding the average: (12 + 12 + 12 + 12 + 15.75) / 5 = 12.75.

$15.75 is $3 higher than the average of $12.75

This question can be solved in numerous ways. If 1 gallon has 20% apple juice, it means apple juice consists of 0.2 gallons. If the 2 gallon has 30% apple juice, it means apple juice consists of 0.6 gallons.
Thus, there are a total of 0.8 gallons of apple juice in the mixture of the total 3 gallons.

Find the percentage: (0.8 gallons of apple juice / 3 total gallons) x 100 = ~27%

Pyloric sphincter is indeed the function that the question describes. Sphincter of Oddi functions in allowing digestive juices (bile) through the hepatopancreatic duct. Cardiac sphincter functions between the esophagus and the stomach, preventing stomach juice (acid) from coming up the esophagus. The Ileocecal sphincter borders the small and large intestine, preventing contents from the colon spilling back into the ileum (small intestine). The esophageal sphincter functions in opening to allow food from the mouth to enter the esophagus. It is very important to know and understand the functions of these main sphincters in the body.

In flowering plants, the anthers house the male gametophytes (which produce sperm) and the pistils house the female gametophytes (which produce eggs). Eggs and sperm are haploid. All other tissues are solely diploid.

Since this is a head-on elastic collision, you could use conservation of kinetic energy and momentum to actually solve this problem. However, in this case, you only need to think through the answers to arrive at a correct conclusion. Clearly the ball after it's struck won't be going 0 m/s. And since this is an elastic collision, and it is hit by a much larger ball, it must be going faster than the larger ball was originally moving. Therefore, the ball will be moving at more than 10 m/s. If this were an inelastic collision where the balls stuck together, the ball would final velocity would be less than 10 m/s.

Ionization energy increases as you go right and up in the periodic table. Fluorine is the right and upper-most choice.

A joule is indeed equal to this. Joule, the unit of work, can be identified as equal to force x distance.

Force (in newtons), is equal to mass x acceleration.

Mass = kg
Acceleration = m/s2
Distance = m

Thus, combining all these terms by multiplying them: kg x (m/s2) x m = (kg x m2) / s2

To determine how much work is done by a gravitational force, you should calculate the change in that object's potential energy = mgh, where m = mass, g = the gravitational acceleration 9.8 m/s2 and h = height. Therefore, the work done only depends on the change in height and not on the path taken. In Answer [Work depends on the path when...], the work done by gravity doesn't have anything to do with friction, so this is not a good explanation. Friction is a separate force.
Answer [When an object falls down...], although true, doesn't explain why the work doesn't depend on the path.

Since light is going from a lower index of refraction (n) to a higher index of refraction, it will always bends towards the normal.