Dimensional Analysis & Binomial Theorem

1 kilometer is equal to (a)   meters.

• 1000 meters
• 500 meters
• 1500 meters
• 2000 meters

Convert 7 hours into minutes.

(a)  

• 420 minutes
• 60 minutes
• 300 minutes
• 720 minutes

10 centimeters is equal to (a)   yards. Round your answer to the nearest hundredth if necessary.

• 0.11 yards
• 0.10 yards
• 0.12 yards
• 0.13 yards

Convert: 220 cubic meters = ~ (a)   cubic feet

• 7770
• 29408
• 10000
• 9910

An object is moving at a speed of 1300 inches every 9 seconds. Express this speed in kilometers per minute. Round your answer to the nearest hundredth. Hint: 1 foot (ft) = 0.305 meters (m)

• 0.22 km/min

• 1.98 km/min

• 0.01 km/min

• 2.20 km/min

A building is constructed using bricks that can be modeled as right rectangular prisms with a dimension of 7.5​ in by 2.75​ in by 2.5​ in. If the bricks weight 0.04 ounces per cubic inch and cost cost $0.09 per ounce, find the cost of 950 bricks. Round your answer to the nearest cent.

• $0.19

• $176.34

• $110.21

• $18.05

Water flows through a pipe at a rate of 75 liters per day. Express this rate of flow in cups per hour. Round your answer to the nearest tenth.

• 13.2 cups per hour

• 1200 cups per hour

• 132 cups per hour

• 50 cups per hour

A water sample shows 0.03 grams of some trace element for every cubic centimeter of water. Jeriel uses a container in the shape of a right cylinder with a diameter of 13.4 cm and a height of 16.7 cm to collect a second sample, filling the container all the way. Assuming the sample contains the same proportion of the trace element, approximately how much trace element has Jeriel collected? Round your answer to the nearest tenth.

• 70.7 g

• 65.5 g

• 75.2 g

• 80.3 g

Solid metal support poles in the form of right cylinders are made out of metal with a density of 6.1 g/cm³. This metal can be purchased for $0.59 per kilogram. Calculate the cost of a utility pole with a radius of 22.2 cm and a height of 780 cm. Round your answer to the nearest cent.

• $3,355.59

• $4,150.53

• $4,346.43

• $2,345.67

Use Pascal's Triangle to expand (5 - 4x)³. Express your answer in simplest form.

• 125 - 300x + 240x² - 64x³

• 125 - 240x + 300x² - 64x³

• 125 + 300x - 240x² + 64x³

• 125 + 240x - 300x² + 64x³