Maximum - practice problems - page 2 of 9
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 177
- Through 82036
5 m³ of water flows through the pipe in 1 second at a maximum speed of 2 m/s. What is the pipe radius? - Dimensions - crate
A wooden crate with dimensions d=3m, e=4m, and f=3m was placed in a transport container with dimensions a=10 m, b=4m, and c=3m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in this si - Three-day trip
George went on a moped for a three-day trip. He drove 90 km on the first day, 30 km on the second day, and 60 km on the third day. He always drove at the same average speed and always the whole number of hours. Calculate the average speed if George drove - Frequencies 81136
In grouped data classes such as 10-15, 16-20, 21-25, 26-30 with the respective frequencies of each class as 3, 5, 4, 3, then the range (range of variation) is: a. 15 b. 6 c. 20 d. 5
- Sprinkler 80801
A sprinkler is located in the park at a distance of 3m from the sidewalk. Water blasted up to a distance of max. 5m. What is the maximum length of the sidewalk it will cover? - Permitted 80726
The highway section is 25 km long, and the maximum permitted speed is 110 km/h. The driver covered this section in 12 minutes. Did he exceed the speed limit? - Automatically 80704
The electric circuit breaker automatically switches off the circuit of the 220 V electrical network at a current of 6 A. Determine the maximum power in the protected circuit. - Regulations 80545 The car is allowed to drive on the highway at a maximum speed of 130 km/h. What distance can he travel in 1.5 hours? Which is the furthest city that a driver can reach in 1 hour if he follows traffic regulations and drives from Prague on the highway to Br
- Bouquets 80478
At the flower shop, they received 72 white roses and 96 red roses. What is the maximum number of bouquets they can tie to all these roses if each bouquet is to have the same number of white roses as red roses?
- Parabolic 79764
In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court? - Acceleration 79354
A safe jump is considered to be one in which a person hits the ground at a maximum speed of 8m/s. Determine the maximum height from which jumping and landing on the moon is safe. The acceleration on the earth is g= 10 m/s², and the acceleration on the moo - Jacob 2
Jacob took five summative tests in Mathematics during the first quarter, each with a maximum score of 100. Jacob's five integer test scores have a mean of 85, a median of 87, and a mode of 92. What is Jacob's lowest possible score from one of his five tes - A construction 2
A construction company will be penalized for its bridge construction delays. The penalty is set at 4,000 for the first day and shall be subjected to a 1,000 increase for each succeeding day. The company can afford a maximum payment of 165,000 for a penalt - Right-angled 78394
A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of this triangle.
- The chief
The chief fisherman, Peter, estimates that if he uses four lines, then the probability of making a catch on one line is 0.7. If he uses five lines, then the probability of making a catch on any line is 0.6. If he uses six lines, the probability of making - Susan 3
Susan has 90 sweets, 36 chocolates, and 60 jellies. She wants to pack the items equally into goodie bags without any leftover items. How many bags will she pack maximum? How many sweets, chocolates, and jellies will be in one bag? - Work space
Every person in a conference room must have at least 36 square feet of workspace. A conference room is 28 by 20 ft. find the maximum number of people the room can accommodate. - The largest 4
The largest room in the quarantine area is 45 m long and 30 m wide. The height of the room is 15 m. If the occupancy guidelines recommend at least five m³ per person, what is the maximum number of people allowed in the room? - Function x*tanx
Functions: f(x)=xtanx f(x)=(e^x)/((e^x)+1) Find; i)vertical and horizontal asymptotes iii)the interval of decrease and increase iii)Local maxima and local minima iv)interval of concavity and inflection. And sketch the graph.
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