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General Science

The brain and spinal cord make up the __________ nervous system.

central

The nervous system consists of the brain and spinal cord (central nervous system) and the peripheral nervous system which is the network of nerve cells (neurons) that collect and distribute signals from the central nervous system throughout the body.

Math Knowledge

Solve 3c + 2c = 9c - 9z + 8 for c in terms of z.

1$\frac{5}{6}$z - 1$\frac{1}{3}$

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

3c + 2z = 9c - 9z + 8
3c = 9c - 9z + 8 - 2z
3c - 9c = -9z + 8 - 2z
-6c = -11z + 8
c = $ \frac{-11z + 8}{-6} $
c = $ \frac{-11z}{-6} $ + $ \frac{8}{-6} $
c = 1$\frac{5}{6}$z - 1$\frac{1}{3}$

General Science

What part of the brain is responsible for for balance, movement, and muscle coordination?

cerebellum

The cerebellum is a large cluster of nerves at the base of the brain that's responsible for balance, movement, and muscle coordination.

Electronics Information

Which of the following is not an advantage of semiconductors over conductors?

a semiconductor conducts current better than a conductor

A semiconductor is a material that has a limited ability to conduct electrical current with conductivity between that of an insulator and that of a conductor. Silicon, a cheap and abundant material, is the most used semiconductor material although other materials are used in the electronics components made from semiconductors. The primary advantages of a semiconductor over a conductor is that the conductivity of a semiconductor can be varied under an external electrical field giving engineers precise control over complex circuits and, unlike conductors like metals, a semiconductor's conductivity increases with increased temperatures.

General Science

Which of these is important for the body's maintenance, growth, and repair?

protein

Found in both animal sources (meat, fish, eggs, cheese) and vegetables (beans, nuts, some grains), proteins are important for the body's maintenance, growth, and repair.

Mechanical Comprehension

The standard unit of energy is the:

Joule

The Joule (J) is the standard unit of energy and has the unit ${kg \times m^2} \over s^2$.

Math Knowledge

This diagram represents two parallel lines with a transversal. If d° = 140, what is the value of z°?

For parallel lines with a transversal, the following relationships apply:

angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with d° = 140, the value of z° is 40.

Arithmetic Reasoning

Ezra loaned Monica $1,100 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?

$1,177

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = ($ \frac{6}{100} $) x $1,100
i = 0.07 x $1,100

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $1,100 + $77
total = $1,177

General Science

Which of the following does not represent the freezing point of water?

0°F

The Fahrenheit scale fixes the freezing point of water at 32°F, the Celsuis scale at 0°C, and the Kelvin scale at 273K.

General Science

212°F is how many °C?

100

The formula to convert from F° to C° is:

$C° = {5 \over 9} (F° - 32)$

plugging in our values gives:

$C° = {5 \over 9} (212 - 32)$

$C° = {5 \over 9} (180) = {{180 \times 5} \over 9}$

$C° = {900 \over 9}$

$C° = 100$