Examples for secondary school students - page 168 of 237
Number of problems found: 4730
- Variation equation
Solve combinatorics equation: V(2, x+8)=72 V(2,x+8) is variations, second class, from x+8 items. - The inverse
The inverse matrix for matrix A has a determinant value of 0.333. What value is a determinant of matrix A? - Variation equation
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. - Function derivative
Calculate the value of the sixth derivative of this function: f (x) = 93x. - Fifth Derivative of Polynomial
Calculate the value of the fifth derivative of this function: f (x) = 3x² + 2x + 4 - Rectangle dimensions
The rectangle has a perimeter of 24 cm so that its area is maximum and its length is larger than its width. Find the dimensions of a rectangle. - Derivative of Linear Function
What is the value of the derivative of this function: f (x) = 12x - Light intensity
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? - Probability — test
A test contains questions with four answer options, exactly one of which is correct. To pass the exam successfully, at least half of the questions must be answered correctly. How many questions should the test contain so that the probability of a student - Derivative of Constant Function 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 20 cm. The length of the billet is 1 m. Determine the force exerted by the hand at the end of the billet. - Integer inequalities
Find the number of all integers x that satisfy the following two inequalities: | x + 2 | = 3 - Number division
Divide the number 28 into two summands so that their product is maximal. - Scooter income 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?
- Braking acceleration
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? - Ice cream cone
How many cm² of dough are needed to produce an ice cream cone if it is to hold 0.3 l of ice cream and its height is to be 15 cm. Add 8% for folds. 1. Convert litres into cm³ 2. Decide which data you can calculate first and from what formula. 3. Calculate - Exponent equation
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
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