Examples for secondary school students - page 74 of 229
Number of problems found: 4578
- Parametric equation
Point A [6; -2]. Point B = [-3; 1] Write the parametric equation of the line BA so that t belongs to the closed interval < 0;3 > - Oscillating 37271
Calculate the oscillation time T of the undamped harmonic oscillating motion of a particle of mass m = 10 g if the force holding the particle in this motion has a value of F = 0,05 N at a deflection of x = 3 cm. - Instantaneous 37201 The amplitude of the linear undamped harmonic oscillator is A = 12 cm, and the frequency f = 15 Hz. What is its instantaneous deflection at time a) t1 = 0.02s, b) t2 = 0.04s, when it was zero at time t = 0 s?
- Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was. - Depreciated 37171
The initial price of the machine is 23,000 euros. Every year, 12% of its cost is depreciated due to wear and tear. What value will the machine have after six years? - Withdraw 37161
We will deposit € 8,500 into the bank at 1.3% interest and withdraw € 8,700. How many years do we have to wait? Round to 2 decimal places. - Possibilities 36911
There are seven fountains in the city. Only five always work. How many possibilities do five fountains work at the same time?
- Arithmetic 36901
The examiner has prepared 20 examples from arithmetic. He wants to choose seven samples for the paper. The order of the examples does not matter. How many different papers can he compile? - Different 36891
We put seven different things out of fifteen various goods in the shopping cart. How many cart content options occur? - Students 36881
As a reward, the trip's land is ten students from a class of 25 students. How many options are there? - Books - triplets
I will choose three from ten different books. How many different triplets can I choose? - Common difference
The 4th term of an arithmetic progression is 6. Find the common difference if the sum of the 8th and 9th terms is -72. - Mappings of complex numbers
Find the images of the following points under mappings: z=3-2j w=2zj+j-1 - Half-planes 36831
The line p and the two inner points of one of the half-planes determined by the line p are given. Find point X on the line p so that the sum of its distances from points A and B is the smallest. - Warehouse 36811
At the Prague Zoo, they need to know how long the fruit will last for the gorillas. The stock in the warehouse would last the female Kamba for 25 days, the male Richard for 20 days, and the little Nura even for 40 days. How long will the supply last if ev
- Annual increase
The number of cars produced increased from 45,000 to 47,000 in 3 years. Calculate the average annual increase in cars in%. - Compressed gas
The pressure vessel contains a compressed gas at a temperature t1 = 27°C and a pressure p1 = 4 MPa. How much does its pressure change when we release half the amount of gas, and its temperature drops to t2 = 15°C? - A mountain climber
A mountain climber plans to buy some rope to use as a lifeline. Which of the following would be the better choice? Explain your choice. Rope A: Mean breaking strength:500lb; the standard deviation of 100lb Rope B: Mean breaking strength: 500lb; the standa - Two-dimensional 36453
Two of its inhabitants stand at one point in the land of two-dimensional beings. Suddenly, they both start running at the same moment. Resident A runs north at 5m/s, and resident B runs east at 12m/s. Calculate how fast they are moving away from each othe - Statistical 36383
On the pages of the Czech Statistical Office, we can learn that in 1869, Prague and its suburbs had a total of 10,947 houses; in 1900, there were 18,838 houses. What was the annual percentage "increase" of houses in Prague between 1869 and 1900, assuming
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