Other Math Answers

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.

“A hotel offers two activity packages. One costs $192 and includes 3 hours of horseback riding and 2 hours of parasailing. The second costs $213 and includes 2 hours of horseback riding and 3 hours of parasailing. What is the cost for 1 hour of each activity?”

A manufacturer produces a product which it sells for $60 per unit. The variable cost per unit is $20 and the fixed cost per month is $10,000. 

1.  How many units must be sold per month to break even?

a. 167      b. 500      c. 400      d. 250      e. None of these

three friends want to share a 20-kg bag of rice equally by weight. how many kilograms of rice should each friend get? write your answer as a mixed number

Give one example each from the real world for the following, along with justification,

for your example:

(i) A non-linear model

(ii) A stochastic model

(iii) A linear, deterministic model

A short run cost function for an entrepreneur is

q³ − 8q² + 30q + 60 Determine the

price at which the entrepreneur cases production in an ideal market. Also, derive the

supply function.