Examples for secondary school students - page 162 of 230
Number of problems found: 4586
- Intensity 4244
The light beam loses 1/12 of its intensity as it passes through the glass plate. What will the beam's intensity be after passing through a ten times stronger plate? - Derivative 4239
Determine the value of the derivative of the function f (x) = 10 - A stone
There is a stone weighing 60 kg on the billet. The distance from the support point to the stone is 20cm. The length of the billet is 1m. Determine the force exerted by the hand at the end of the billet. - Inequalities: 4229
Find the number of all integers x that satisfy the following two inequalities: | x + 2 | = 3 - Summands 4213
Divide the number 28 into two summands so that their product is maximal. - Manufacturer 4212 How many electronic scooters should the manufacturer sell to maximize their income if the income function is given by the equation TR (Q) = -4Q2 + 1280 Q + 350?
- Acceleration 4211
At the start of braking, the car had a speed of 72 km h at -1. It stopped on a track of 50 m. What was the acceleration, and how long did the braking last? - Paper box
The hard rectangular paper has dimensions of 60 cm and 28 cm. We cut off the corners into equal squares, and the residue was bent to form an open box. How long must the largest volume of the box be beside the squares? - Equation: 4197
Solve the equation: (4096^x) · 8! = 161280 - Candy - MO
Gretel deploys different numbers to the vertex of a regular octagon, from one to eight candy. Peter can then choose which three piles of candy to give Gretel others retain. The only requirement is that the three piles lie at the vertices of an isosceles t - Unions now
The plant has 1,250 employees. The Trade Unions (former ROH, OH) is 18% male and 23% female. Plant management reported that 20% of all employees are in the trade union. How many men and women are in the plant, and how many are men and women in trade union - Determine 4181
Determine the fourth GP member if q = 4 and a1 + a3 = 5.44 - Work together
Michal and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michal. Determine when Dorota will do the work herself and when Michal will do it himself. - Rings groups
Twenty-seven pupils attend some groups. Fourteen pupils attend the Dance group, 21 in the sports group, and 16 in the dramatic group. Dance and sporting attend nine pupils, dance and drama six pupils, and sporty and dramatic 11 pupils. How many pupils att - Determinant 4173
The inverse matrix determinant to matrix C has a value of 0.125. Determine how often the determinant of the matrix C is larger than the determinant of the inverse matrix to the matrix C. - Centimeters 4170
In triangle ABC, we connected the centers of the sides, and we got a smaller triangle with an area of 14 cm². What is the area of triangle ABC in square centimeters? - Difference AP 4
Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1 - Determinant 4161
The determinant of the inverse matrix to matrix B has a value of 0.25. What is the value of the determinant of matrix B? - Potatoes
Daniela and Michael would jointly dig potatoes for 7.5 hours. But if Daniela was working alone, she would take 2.5 hours more than if he were working with Michael. Determine how much for the work done by Michael himself and how much Daniela herself. - Together 4158
Daniela and Michal would dig potatoes together in 7.5 hours. But if Daniela worked alone, it would take her 2.5 hours more than Michal. Find how much Michal would do and how much Daniela would do the work himself.
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