Examples for secondary school students - page 78 of 229
Number of problems found: 4578
- Mass layoffs
The company's new management has announced that mass layoffs will be necessary due to the poor financial situation. It is estimated that the work that 5 employees did will have to be done by 3 employees. What percentage of the company's employees would lo - Temperature 34641
The aluminum line has a resistance of 7.6Ω at -10˚C. What will be its resistance at a temperature of + 50˚C? - RC time constant
You introduced 1 Coulomb worth of electrons into the inner volume of a dielectric material with ϵr=6. Thirty minutes later, you found that only 36.79% of the electrons were in the internal volume. Determine the conductivity σ of the dielectric material. - Three groups The company's employees are divided into three groups. The average salary of the first group, which includes 12% of the company's total number of employees, is CZK 40,000; in the second group, CZK 35,000; and in the third group, CZK 25,000. The average sa
- Assignment 34461
The travel agency has reserved 14 triple or quadruple rooms in the hotel for two weeks in July. How many families of three and how many families of four can sign up for the tour if the maximum number of occupied seats in the bus is 50? Assignment and solu - Remainder 34441
Find the remainder after division when we divide the sum of 1! +2! +3! +. ... . +300! number 13. - Bananas and mango
5 kg of bananas and three kilograms of mango cost 146 CZK, and two kilograms of bananas and 5 kilograms of mango cost 142 CZK. How much is a kilogram of bananas, and how many mangoes?
- Double-track line
A 160 m long passenger train runs on a double-track line in one direction at a constant speed of 54 km/h, and a 240 m long express train in the opposite direction. a) How fast is the express train if passing the passenger train driver for 6 s? b) How long - A pressure
How much compressive force does an aquarium with a bottom area of 0.24 m² exert on the table when a pressure of 3 kPa is created? - Compressive force
The excavator's area of belts is 5 m2, and it creates a pressure of 40 kPa. How much compressive force does the excavator exert on the road? - Inclination of a hill
A skier starts down a hill of length l and an angle of inclination of 10˚. It then moves to a horizontal section of the track, which travels the same length l until it stops. Determine the coefficient of sliding friction between the skis and the snow. - The product of the roots
Find the product and the sum of the roots of x² + 3x - 9 = 0 - Open intervals
Open intervals A = (x-2; 2x-1) and B = (3x-4; 4) are given. Find the largest real number for which A ⊂ B applies. - MF graduate
78 school students graduate in mathematics or physics. Three times more students graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate in mathematics. How - Proportional relationship
The ordered pairs (6,24) and (1, s) represent a proportional relationship. Find the value of s.
- Transmitter 34201
A television transmitter 108 m high is anchored at 2/3 of its height (from the ground) by three ropes of equal length. How many meters of rope are needed for anchoring if it is embedded at a distance of 54 m from the foot of the mast, and we count 10% of - Procedure 34191
Petr got a fifth more than Pavel, Jirka got 100 CZK more than Petr, and Honza got half of what Petr did, so they shared the reward of CZK 2,500. Solution and procedure. - The data
The data set represents the number of cars in a town given a speeding ticket daily for ten days. 2 4 5 5 7 7 8 8 8 12 What is the IQR? - Maxwell’s inductance bridge
The four arms of Maxwell's inductance bridge are as follows: Arm AB contains an inductive coil of inductance L1 with resistance R1. Arms BC and CD contain non-inductive resistances of 200Ω and 100Ω, respectively. Arm AD contains a standard inductor of ind - Vectors abs sum diff
The vectors a = (4,2), b = (- 2,1) are given. Calculate: a) |a+b|, b) |a|+|b|, c) |a-b|, d) |a|-|b|.
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