Examples for secondary school students - page 34 of 231
Number of problems found: 4612
- Decelerated projectile
A projectile was weighing 20 g shoots at a speed of 800 m/s being dug 100 mm deep into the masonry. How long does it brake in masonry assuming uniformly decelerated motion? - Source failure probability
I have 3 sources, and their failure probability is 0.1. Calculate the probability that: a) none will have a malfunction b) 1 will have a breakdown c) at least 1 will have a fault d) they will all have a breakdown - Number line
Find a number on the number line whose distance from the number 3 is four times smaller than from the number 15 (specify both solutions). - Product defect independence
The product has a 10% probability of an appearance defect, a 6% probability of a functional deficiency, and a 3% probability of both defects simultaneously. Are the random events A - the product has an appearance defect and B - the product has a functiona - Unit resistance
What is the resistance of a two-conductor line 10 m long made of 4.0 mm² aluminum wire? - Mechanical energy
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 - Aquarium fish distribution
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? - Parabola point equation
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - Integer part system
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.) - Triangle circle proof
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 - Club football tennis
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 1/K) 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
- Course to airport
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.
- Segment center coordinates
A (a1, 4) B(7, -2) segment AB has a center where both coordinates are equal - Sequence term count
How many terms does the sequence have if a1=4, Sn=589, d=3, n=?
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
