Examples for secondary school students - page 162 of 230

Number of problems found: 4597

The inverse
The inverse matrix for matrix A has a determinant value of 0.333. What value is a determinant of matrix A?
Equation: 4274
Solve the equation: V (2, x + 2) = 90
Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
Derivative 4267
Calculate the value of the sixth derivative of this function: f (x) = 93x.
Derivative 4266
Calculate the value of the fifth derivative of this function: f (x) = 3x² + 2x + 4
Circumference 4255
The rectangle has a circumference of 24 cm so that its area is maximum and its length is larger than its width. Find the dimensions of a rectangle.
Derivative 4251
What is the value of the derivative of this function: f (x) = 12x
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.

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