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General Science

In the classification of life, which of the following is not a domain?

animalia

The broadest classification of life splits all organisms into three groups called domains. The three domains of life are bacteria, archaea and eukaryota.

Mechanical Comprehension

If the green box weighs 20 lbs. and is 1 ft. from the fulcrum, how far from the fulcrum would a 70 lbs. force need to be applied to balance the lever?

0.29 ft.

To balance this lever the torques at the green box and the blue arrow must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:

R_ad_a = R_bd_b

where a represents the green box and b the blue arrow, R is resistance (weight/force) and d is the distance from the fulcrum.

Solving for d_b, our missing value, and plugging in our variables yields:

d_b = $ \frac{R_ad_a}{R_b} $ = $ \frac{20 lbs. \times 1 ft.}{70 lbs.} $ = $ \frac{20 ft⋅lb}{70 lbs.} $ = 0.29 ft.

Mechanical Comprehension

Boyle's law defines the relationship between pressure and volume as:

$\frac{P_1}{P_2} = \frac{V_2}{V_1}$

Boyle's law states that "for a fixed amount of an ideal gas kept at a fixed temperature, pressure and volume are inversely proportional". Expressed as a formula, that's $\frac{P_1}{P_2} = \frac{V_2}{V_1}$

Mechanical Comprehension

The mechanical advantage of a wheel and axle is equal to the:

ratio of the diameters of the wheels

A wheel and axle uses two different diameter wheels mounted to a connecting axle. Force is applied to the larger wheel and large movements of this wheel result in small movements in the smaller wheel. Because a larger movement distance is being translated to a smaller distance, force is increased with a mechanical advantage equal to the ratio of the diameters of the wheels. An example of a wheel and axle is the steering wheel of a car.

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

Word Knowledge

Raucous most nearly means:

rowdy

Noisy, rowdy.

General Science

The most diverse kindgom of life is which of the following?

protists

Below domain, life is classified into six kingdoms: plants, animals, archaebacteria, eubacteria, and fungi. The last kingdom, protists, include all microscopic organisms that are not bacteria, animals, plants or fungi. (Archaebacteria and eubacteria are sometimes combined into a single kingdom, monera.)

Mechanical Comprehension

The radius of the axle is 3, the radius of the wheel is 4, and the blue box weighs 35 lbs. What is the effort force necessary to balance the load?

26.32 lbs.

The mechanical advantage of a wheel and axle is the input radius divided by the output radius:

MA = $ \frac{r_i}{r_o} $

In this case, the input radius (where the effort force is being applied) is 4 and the output radius (where the resistance is being applied) is 3 for a mechanical advantage of $ \frac{4}{3} $ = 1.33

MA = $ \frac{load}{effort} $ so effort = $ \frac{load}{MA} $ = $ \frac{35 lbs.}{1.33} $ = 26.32 lbs.

General Science

Leafy vegetables, beans, potatoes, fruits, and whole grains are good sources of:

fiber

Fiber provides bulk to help the large intestine carry away waste. Good sources of fiber are leafy vegetables, beans, potatoes, fruits, and whole grains.

Mechanical Comprehension

If A = 9 ft. and the green box weighs 30 lbs. what is the torque acting on the A side of this lever?

270 ft⋅lb

For a lever, torque is weight x distance from the fulcrum which, in this case, is: 30 ft. x 9 lbs. = 270 ft⋅lb