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Sample Practice Test Questions
A __________ is driven by a motor and used to shape and form edge contours.
router
A router is a tool that a worker uses to rout (hollow out), shape, or contour an area in relatively hard material like wood or plastic.
Solve for y:
-6y + 9 = -7 + 7y
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-6y + 9 = -7 + 7y
-6y = -7 + 7y - 9
-6y - 7y = -7 - 9
-13y = -16
y = \( \frac{-16}{-13} \)
y = 1\(\frac{3}{13}\)
The endpoints of this line segment are at (-2, -7) and (2, 3). What is the slope of this line?
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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)
If the green box weighs 20 lbs. and is 1 ft. from the fulcrum, how much weight would need to be placed at the blue arrow to balance the lever if the arrow's distance from the fulcrum is 8 ft.?
To balance this lever the torques on each side of the fulcrum must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:
Rada = Rbdb
where a represents the left side of the fulcrum and b the right, R is resistance (weight) and d is the distance from the fulcrum.Solving for Rb, our missing value, and plugging in our variables yields:
Rb = \( \frac{R_ad_a}{d_b} \) = \( \frac{20 lbs. \times 1 ft.}{8 ft.} \) = \( \frac{20 ft⋅lb}{8 ft.} \) = 2.5 lbs.
Elements in the same group in the Periodic Table of the Elements have the same:
number of electrons in their outer electron shell
The columns of the Periodic Table are called groups and all elements in a group have the same number of electrons in their outer electron shell. The group that an element occupies generally determines its chemical properties as the number of outer shell electrons establishes the way it reacts with other elements to form molecules. So, because each element has the same number of electrons in its outer shell, each has similar reactivity.
The connective tissue that connects bones to other bones at joints is called:
ligaments
Tough fibrous cords of connective tissue called tendons connect muscles to the skeleton while another type of connective tissue called ligaments connect bones to other bones at joints (elbow, knee, fingers, spinal column).
What is (z5)4?
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z5)4