Technical Math Semester Test Study Guide Fall 2024

If the drawing of the part to the right is scaled up by a multiple of five, find the new dimensions.

• 2-7/20

• 11-3/4

• 58-3/4

• 4-1/8

• 20-5/8

• Incorrect Answer

• 33/40

• Incorrect Answer

If a case of 40 water bottles costs $5.36, how much should a case of 24 water bottles cost? (Use a proportion to solve.)

• $179.10

• $3.216

• $3.22

• $0.13

In electronics, Power (P) is P = RI². P = power measured in watts, R = resistance measured in ohms, and I = current measured in amps. Find the power consumed by a 14-ohm resistor with a 4-amp current passing through it. Place the following steps in the correct order to find the power.

• P = 14⋅16

• P = RI²

• P = 224 watts

• P = 14⋅4²

Convert 849 meters into kilometers, rounded to two decimal places.

• 849,000 km

• 0.849 km

• 0.85 km

• 8.49 km

Convert an area of 357 square centimeters (cm²) to square inches (in²) rounded to one decimal place.

• Round 55.33 to 55.3in²

• Multiply straight across to get 357/6.452

• Cancel cm² on top and bottom

• Multiply by 1in² / 6.452cm²

• 357cm² / 1

An assembly line manufactures I-beams at a rate of 58 feet per second. Convert this speed to miles per hour (MPH), rounded to one decimal place.

• Multiply by 1mi / 5280ft

• Multiply straight across (58⋅60⋅60⋅1) / (1⋅1⋅1⋅5280) = 208,800/5280 = 39.5 MPH

• Multiply by 60min / 1hr

• Multiply by 60sec / 1min

• 58ft / 1sec

Answer explanation

The volume of cylindrical footing (V) is V=πr²h where h = height and r = radius. Find the height for a cylinder with volume = 237 in³ and radius = 4 inches.  Round to one decimal place. Order the following steps to find the correct height.

• V=πr²h

• 237=π4²⋅h

• Divide both sides by π4²

• 4.7 in = h

Order the following steps to solve the temperature formula F = 1.8C + 32 for C.

• F - 32 = 1.8C

• (F - 32)/1.8 = C

• Subtract 32 from both sides

• F = 1.8C + 32

• Divide both sides by 1.8

Order the following steps to find the radius(r) measured in feet of the spherical water tank that contains 539 ft³ (V) of water. Use the formula V=(4πr³)/3. Round to two decimal places.

• Take the cube root of both sides

• Divide both sides by 4π

• Multiply both sides by 3

• Plug in 539 for V: 539=(4πr³)/3

• r = 5.05 ft

The function f(j) = 650 + 39j represents the total costs of your new startup lawncare business depending on the number of jobs (lawns you mow) that you perform. Determine the slope and y-intercept, and what they each represent in this scenario.

Groups:

(a) Slope

,

(b) y-intercept

• cost per job

• initial cost of startup

• 39

• 650