Examples for secondary school students - page 29 of 223
Number of problems found: 4448
- Mechanical 80527
A stone with a mass of 2 kg falls in free fall from a tower with a height of 80 m. What is its kinetic energy, and what is its potential energy: a) At the beginning of the fall, b) In 1 s from the beginning of the fall, c) Upon impact, d) What is its mech - Aquariums 80526
Mirko has a total of 137 fish in three aquariums. He has 19 more fish in the largest aquarium than in the medium. There are 5 fewer fish in the smallest than in the middle one. How many fish does Mirko have in the smallest aquarium? - Equation 80525
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.)
- Circumscribing 80498
Given is an acute-angled triangle ABC. On the half lines opposite to BA and CA lie successively the points D and E such that |BD| = |AC| and |CE| = |AB|. Prove that the center of the circle circumscribing triangle ADE lies on the circle circumscribing tri - There 26
There are 200 sweets in a jar, measured to the nearest 10. They weigh 600 grams to the nearest 10 grams. What is the least possible mass of each sweet in grams? 2 d. p - Eighty-two 80493
The sports club has 302 members. Ten times more members play soccer than tennis. Just one of the sports (F and T) is played by 222 members. Eighty-two members do not play football. How many members of the club play football? How many members play tennis? - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - The electric motor
The electric motor winding's copper wire (alpha=4*10-3 K-1) has a resistance of 42 ohms at a temperature of 18 degrees. What is its resistance at an operating temperature of 50 degrees?
- Nikelin and brass Calculate the length of brass wire (ró=0.08 microohm m) and nickel (ró=0.4 microohm m) with a diameter of 0.5 mm, which has a resistance of 1 ohm
- Airport's 80482
The plane flew from airport m on a course of 132° to airport n, then from n to p on a course of 235°. The distance between the airport's mn is 380 km, np 284 km. What will be the return course to m, and what is the distance between the airport's pm? - Entrance exam
In a college entrance exam, the participants are rated as excellent, very good, good, and fair. Consider that the scores in the exam are normally distributed with a mean of 78 and a standard deviation of 7.5. The participants receiving the top 5% of the s - The sum 27 The sum of a geometric progression's second and third terms is six times the fourth term. Find the two possible values of the common ratio.
- Coordinates 80452
A (a1, 4) B(7, -2) segment AB has a center where both coordinates are equal
- Sequence 80450
How many terms does the sequence have if a1=4, Sn=589, d=3, n=? - Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2). - FX parabola Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7)
- IQR and range
The times spent in minutes by 20 people waiting in a queue at the bank for a teller were: 3.4, 2.1, 3.8, 2.2, 4.5, 1.4, 0,0, 1.6, 4.8, 1.5, 1.9, 0, 3.6, 5.2, 2.7, 3.0, 0.8, 3.8, 5.2, Find the range and interquartile range of the waiting times. - Insurance 80434
The client paid the three partners CZK 90,000 for the completed contract. 40% of this amount was the material and 23% that the remaining amounts were paid for insurance and taxes. They divided the rest of the money in the ratio of 2:3:5. What amount did e
A batsman scored the following number of runs in seven innings 35,30,45,65,39,20,40. Find the mean, median, and range.Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
