Other Math Answers

Find VW.   VZ=52 and WZ = 20

Solve the following equation:

x Ix-5I = 20x+3

List the four possible roots in increasing order and indicate if is a EXTRANEOUS root or just a ROOT.

Compare and contrast the use of D’Alembert’s principle with the principle of conservation of energy when solving, A pile driver hammer of mass 140 kg falls freely through a distance of 4.5 m to strike a pile of mass 390 kg and drives it 70 mm into the ground. The hammer does not rebound when driving the pile. Determine the average resistance of the ground.

A pile driver hammer of mass 140 kg falls freely through a distance of 4.5 m to strike a pile of mass 390 kg and drives it 70 mm into the ground. The hammer does not rebound when driving the pile. Determine the average resistance of the ground.

A lift cage of mass 500 kg accelerates upwards from rest to a velocity of 6 ms−1 whilst travelling a distance of 12 m. The frictional resistance to motion is 200 N. Making use of the principle of conservation of energy, determine:

i) the work done

ii) the tension in the lifting cable

iii) the maximum power developed.

A space vehicle travelling at a velocity of 1000 ms−1 separates by a controlled explosion into two sections of mass 850 kg and 250 kg. The two parts carry on in the same direction with the heavier rear section moving at 973 ms−1. Determine the final velocity of the lighter section.

A vehicle of mass 700 kg accelerates uniformly from rest to a velocity of 60 kmh−1 in 10 s whilst ascending a 150 gradient. The frictional resistance to motion is 0.5 kN. Making use of D’Alembert’s principle, determine:

i) the tractive effort between the wheels and the road surface

ii) the work done in ascending the slope

iii) the average power developed by the engine.

Calculate the population of Kumasi for 2021 if the growth rate is 3% per annum and the death rate is 1%. The impact of the opening of the borders to other ecowas countries brings in 4% immigrants from neighbouring other countries. Residents leaving the Kumasi for greener pastures is also 0.05%

Noah and Lin are making paper cones to hold popcorn to hand out at a parent math night. They want the cones to hold 9π cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?

You need to score at least 1500 points on your new video game to obtain the high

score. You get 300 points after completing each level. Write and solve an inequality to

find the number of levels you must

beat in order to obtain the high score.