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Arithmetic Reasoning

A bread recipe calls for 2\(\frac{1}{4}\) cups of flour. If you only have 1\(\frac{5}{8}\) cups, how much more flour is needed?

\(\frac{5}{8}\) cups

The amount of flour you need is (2\(\frac{1}{4}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{18}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{5}{8} \) cups
\(\frac{5}{8}\) cups

General Science

Which of the following is not a base unit in the metric system?

degree Fahrenheit

The Fahrenheit scale is used for measuring temperature in the British system. The metric system uses the Celsius scale.

Math Knowledge

Solve for z:
z² + 6z - 13 = -z + 5

2 or -9

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

z² + 6z - 13 = -z + 5
z² + 6z - 13 - 5 = -z
z² + 6z + z - 18 = 0
z² + 7z - 18 = 0

Next, factor the quadratic equation:

z² + 7z - 18 = 0
(z - 2)(z + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 2) or (z + 9) must equal zero:

If (z - 2) = 0, z must equal 2
If (z + 9) = 0, z must equal -9

So the solution is that z = 2 or -9

Shop Information

This tool is a(n) __________.

inside caliper

Calipers are similar to micrometers in shape but instead of measuring distances, calipers are used to transfer distances between objects. An outside caliper is used to transfer outside dimensions while an inside caliper is used to transfer inside distances. A vernier caliper is an extremely precise caliper (down to \({1 \over 1000}\) inch) that allows measuring / transferring either inside or outside dimensions.

General Science

When two air masses meet and neither is displaced, what kind of front is present?

stationary

When two air masses meet and neither is displaced, a stationary front is created. Stationary fronts often cause persistent cloudy wet weather.

Word Knowledge

Fickle most nearly means:

erratic

Lacking constancy, changeable.

Mechanical Comprehension

Which of the following will increase the mechanical advantage of a second-class lever?

move the object being lifted closer to the fulcrum

A second-class lever is used to increase force on an object in the same direction as the force is applied. This lever requires a smaller force to lift a larger load but the force must be applied over a greater distance. The fulcrum is placed at one end of the lever and mechanical advantage increases as the object being lifted is moved closer to the fulcrum or the length of the lever is increased. An example of a second-class lever is a wheelbarrow.

General Science

"An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force." This describes which of Newton's laws of motion?

first

Also known as the law of inertia, Newton's first law of motion states that An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

General Science

Plant cells may generate energy through which of the following?

photosynthesis

Some plant cells produce their own energy through photosynthesis which is the process by which sunlight, carbon dioxide, and water react to make sugar and oxygen. Animal cells cannot produce their own energy and, instead, generate energy when mitochondria consume outside sugar and oxygen through aerobic respiration.

Electronics Information

The electrical potential difference between two points is called:

voltage

Voltage (V) is the electrical potential difference between two points. Electrons will flow as current from areas of high potential (concentration of electrons) to areas of low potential. Voltage and current are directly proportional in that the higher the voltage applied to a conductor the higher the current that will result.