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Math Knowledge

$2$\frac{1}{2}$$

The endpoints of this line segment are at (-2, -7) and (2, 3). What is the slope of this line?

2$\frac{1}{2}$

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -7) and (2, 3) so the slope becomes:

m = $ \frac{\Delta y}{\Delta x} $ = $ \frac{(3.0) - (-7.0)}{(2) - (-2)} $ = $ \frac{10}{4} $
m = 2$\frac{1}{2}$

Shop Information

You are using a hacksaw to cut a Class 8 bolt. What is the most appropriate TPI for your saw blade?

18 TPI

A Class 8 bolt is made of very hard metal and larger TPI saw blades are most appropriate for very hard metals.

Automotive Information

Which of the following cylinder arrangement would be most common in an eight cylinder engine?

V-type

Cylinder number and arrangement depends on the purpose of the engine. Smaller (four and six cylinder) engines in front-wheel drive vehicles often use an inline design which orients cylinders vertically over the crankshaft and aligns them in a row. Other common orientations are a horizontal/opposed design which places cylinders flat facing each other with the crankshaft between them and a V-type design common in six and eight cylinder engines that features one cylinder head per block of cylinders oriented at a 60 to 90 degree angle to each other with the crankshaft at the bottom of the V.

Shop Information

Which of the following saws would you use if you're cutting wood along the grain?

ripsaw

The ripsaw delivers maximum efficiency at cutting with or along the grain (ripping).

Automotive Information

Which of the following transfers the torque from the transmission to the drive wheels at a constant speed while accomodating the up and down movement of the suspension?

constant velocity (CV) joint

Constant velocity (CV) joints are located at both ends of a half shaft and their purpose is to transfer the torque from the transmission to the drive wheels at a constant speed while accomodating the up and down movement of the suspension. The inner CV joint connects the shaft to the transmission and the outer CV joint connects the shaft to the wheel.

Mechanical Comprehension

Gear ratio indicates which of the following about two connected gears?

mechanical advantage

The mechanical advantage (amount of change in speed or torque) of connected gears is proportional to the number of teeth each gear has. Called gear ratio, it's the ratio of the number of teeth on the larger gear to the number of teeth on the smaller gear. For example, a gear with 12 teeth connected to a gear with 9 teeth would have a gear ratio of 4:3.

General Science

The Rh factor antigen in blood determines:

postive or negative

Blood is categorized into four different types (A, B, AB, and O) based on the type of antigens found on the outside of the red blood cells. Additionally, each type can be negative or positive based on whether or not the cells have an antigen called the Rh factor.

Arithmetic Reasoning

4! = ?

4 x 3 x 2 x 1

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

General Science

Velocity is the rate at which an object changes position. What is the formula for velocity?

$\vec{v} = { \vec{d} \over t } $

Velocity is the rate at which an object changes position. Rate is measured in time and position is measured in displacement so the formula for velocity becomes $\vec{v} = { \vec{d} \over t } $

General Science

Which of these is not a component of blood?

marrow

Blood is created in bone marrow and is made up of cells suspended in liquid plasma. Red blood cells carry oxygen, white blood cells fight infection, and platelets are cell fragments that allow blood to clot.