Other Math Answers

Write a short paragraph on how mathematics began and indicate the first people you believe started doing mathematics?

How did mathematics begin? Who were the first people to discover mathematics?

1.A car is travelling at a constant speed of 72 kmh−1

and passes a stationary police car. The police car

immediately gives chase, accelerating uniformly to reach a speed of 90 kmh−1

in 10 s and continues at

this speed until he overtakes the other car. Find

(a) the time taken by the police to catch up with the car,

(b) the distance travelled by the police car when this happens.

2. Two trains A and B, starting together from rest, arrive together at rest 10 minutes later. Train A

accelerates uniformly at 0.125 ms−1

for 2 minutes, continues at the steady speed reached for another

4 minutes and the retards uniformly to rest. Train B accelerates uniformly for 5min and then retards

uniformly to rest. Draw both journeys on the same v – t graph and find

(a) the distance (in m) travelled,

(b) the acceleration of train B,

(c) the distance between the two trains after 3 minutes.

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

a) 68% of all tires will have a life between ________ km and ________ km.

b) 95% of all tires will have a life between ________ km and ________ km.

c) What percent of the tires will have a life that exceeds 26,000 km?

d) If a company purchased 2000 tires, how many tires would you expect to last more than 28 000 km?

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question in photo

What's the nature of mathematics according to Plato and his student aristotle? Give Clear distinctions between them and examples in each case

Explain how addition and subtraction were used to derive the Roman numerals below:

1.1.1. IV (4)

1.1.2. VI (6)

1.1.3. XIX (19)

1.1.4. LXIV (64)

1.1.5. XCIX (99)

The Dewey Decimal System (DDC) Divedes knowledge.....

(1)Chronologically

(2)Numerically

(3)by subject

(4)into 10 call numbers

You ask 250 students to answer the question have you used an illegal drug in the past 72 hours? You use the two coin message described in this section and 86 people answered yes. Estimate how many students in the group have used drugs recently.

Q. 3) Carrying capacity / Stocking rate (Populations and ecosystem)

You removed the above-ground plant material from around 10 quadrats ( 1 sq meter each) in each area to measure primary production. After drying in the oven at 60° C for 24 hrs, the mean dry weight of the plant biomass was 290 g/m² in area 1 and 280 g/m² in area 2. If you want to keep a herd of wild onagers in a fenced area of 1 km², without feeding them during the spring season, what would be the maximum size of the herd (carrying capacity) in each area? You also estimated that around 30% of the plant mass in area 1 belong to unpalatable and poisonous plants, whereas the proportion of unpalatable plant material in area 2 was 25%.

Calculation hints (calculate the total amount of palatable plant biomass in 1 km² in each area, what is the average weight of an onager, how much dry mass does a herbivore mammal consume per day, …)