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17.22 USE problems

6) The taxi group includes 50 passenger cars; 27 of them are black with yellow inscriptions on the sides, the rest are yellow with black inscriptions. Find out the likelihood of receiving a random call Condition: a yellow car with black spots will arrive. 1) The Novospbnrsk-Krasnollrsk train departs at 15:20 and arrives at (4:20) the next day (time 7) Find the root of the equation (2^{4-2 x}=64). Moscow). How many hours does the train travel? 2) When paying for services through a payment terminal, a commission is charged (5%). The terminal accepts amounts 8) The height of the right triangle is 3. Find the radius of a circle around this multiple of 10 rubles. Anya wants to deposit at least 300 rubles into her mobile phone account. triangle. What is the minimum amount she should put into the device of this terminal? 9) The figure shows a graph 3) The diagram shows the distribution of coal processing in 10 countries (in thousands of tons) for 2009. Among the countries represented, the first place in the processing of hard coal is Zannmal Kntai, the third place is Zannmal Japan? 10) In the cylindrical vessel, the liquid level reaches 18 cm. At what height will the liquid level be if it is poured into the second cylindrical 4) The construction company needs to purchase 75 cubic meters of foam concrete from one of three suppliers. a vessel whose diameter is 3 times the diameter of the first. The answer is expressed in Prices and delivery conditions are given in the table. How many rubles will you have to pay for the cheapest purchase with delivery? 11) Find the value of the expression ( sqrt{3} cos ^{2} frac{5 pi}{12}-sqrt{3} sin ^{2} frac{5 pi}{12} ), 12) A car moving at the initial moment of time with a speed ( v_{0}=20) in ( / ) began ( ^{2} ) braking with constant acceleration ( a=5 mathrm{~m} / mathrm{c}^{2} .3 ) and ( t ) seconds after the start of braking it covered the distance ( S=v_{0} t-a t^{2} / 2 ). Determine the time that has passed since the start of braking, if you know that during this time the car has traveled 30 meters. Express the answer in seconds. 13) The cone is inserted into the ball. The radius of the base of the cone is equal to the radius of the sphere. The volume of the cone is 6. Find the volume of the sphere. 14) The heat code travels along the current of the river to the destination 200 km after the departure from the point of departure. Give your answer in km/h. 15) Find the point of maximum of the function ( y=3 x-ln (x+3)^{3} ),

Problems of the USE (Unified State Exam) - equations and inequalities in terms of a parameter, solved both by algebraic methods and geometric ones.

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