Examples for secondary school students - page 70 of 229
Number of problems found: 4578
- The body
The body slides down an inclined plane, forming an angle α = π / 4 = 45° under the action of a horizontal plane under the effect of friction forces with acceleration a = 2.4 m/s². At what angle β must the plane be inclined so that the body slides on it af - Tailor's 40591
The tailor's salon bought 130 meters of fabric for € 1,037. The meter of the first fabric costs € 8.90, and the meter of the second fabric costs € 7.40. Thus, they bought 130 meters of fabric for € 1,037. - Sleep vs. watch TV time
Using a data set relating to the number of episodes I watch on TV in a day (x) versus the number of hours of sleep I get that night (y), I construct the linear model y=−0.6x+11 Which of the following general observations can you make from this model? a) I - Bivariate data set
Here is a bivariate data set in which you believe y to be the response variable. x y 51.4 44.8 60.2 46.6 60.1 46.8 45.8 46.3 37.4 41.8 72.4 52.5 60 48.2 67.5 49.5 60.9 49.8 51.1 45.7 62.7 49.6 194.9 84.2 Make a scatter plot of this data. Which point is an - Metal washers
Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. When two adjacent circles meet, calculate the material waste percentage if no material is lost. - Locomotive 40441
What is the pressure on the tracks when a 10-ton locomotive with eight wheels stands on it, and each wheel has a contact area of 4 cm²? - Arithmetic 40431
Fill the numbers in the place of the asterisk to form an arithmetic sequence. (2, *, 5, *, 8, 9.5,11)
- Tangens parallelogram
If ∠BAD between the sides AB and AD of the parallelogram is θ, what is tan θ? See diagram: A=(7,1) B=(5,-2) C=(12,1) D=(14,4) - Outside point
The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4? - Mathematical 40213
Sixty-two high school students took part in the Mathematical Olympiad. There were 7 fewer first-year students than sophomores, two-thirds of the number of third-year students, and 5 fourth-year students. How many students from each grade took part in the - Laboratory 40191
Laboratory assistant Eva is to prepare 0.5 liters of 30% sulfuric acid. It has 60% and 15% sulfuric acid ready. How many of which will he use in the solution? - Graduates 40111
As many as 62.5% of residents at the business academy graduated with honors. How many high school graduates would there be if 30 students graduated with honors? - Saving for education
Suppose a couple invested Php 50 000 in an account when their child was born to prepare for a college education. If the average interest rate is 4.4% compounded annually, a, Give an exponential model for the situation b, Will the money be doubled by the t - Mastering The student masters the subject matter for the exam in Czech to 98%, from Math to 86%, and from Economics to 71%. What is the probability that he will fail in Math and that others will succeed?
- Space vectors 3D
The vectors u = (1; 3;- 4) and v = (0; 1; 1) are given. Find their sizes, calculate their angles, and determine the distances between them.
- Atmospheric 39931
The area of the horizontal plate is 0.80 m². The atmospheric pressure around the plate is 1100 hPa. 1. How much pressure does the air exert on the plate from above? 2. What is its direction? 3. Is the magnitude of this force different if the plate is tilt - Kilograms 39911
In a luxury praline factory, they prepared 3.2 kg of a mixture of two types of candies for CZK 273 per 1 kg. Marzipan candies cost 345 CZK/kg and nougat 255 CZK/kg. How many kilograms of each type of candy were used? - The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - Children 39861 The parents have their 3 children at studies. They cost CZK 3,650 per month. Parents pay 350 CZK less per month for Libor than for Zdenek and 400 CZK more for Eva than for Zdenek. How many CZK per month will he pay for each of them?
- Suppose 2
Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the substance, a. Give an exponential model for the situation b. How much will remain after 500 years?
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