Quadratic Equations Problems - page 5 of 30
Number of problems found: 584
- Object final velocity
The object has a speed of 25 m/s and accelerates 5.0 m/s² for 250 meters. What is the final velocity? - Potato harvesting
Due to a large potato harvest this year, the farm bought a new, more powerful sorter in addition to the old one. With both machines running simultaneously, the daily harvest is processed in 12 hours. If only the old machine were used, it would need 10 mor - Geometric sequence sum
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120 - Cottage bridge distance
Two neighboring cottagers have cottages under the forest by the stream. They decided to build a bridge over the stream at a place far from the two huts. The distance between the cottages is 230 m; one cottage is 120 m from the stream, and the other is 85 - Geometric series terms The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence.
- Bus interval frequency
If the interval between bus arrivals is shortened by one minute, there will be 5 more buses on this route per hour. How many buses ran on the original route? (Recommended: solve with an experiment or a table where we look for the dependence between the le - Volleyball tournament teams
The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated. - In plane 2
Triangle ABC lies in the plane with a right angle at vertex C, where A(1, 2), B(5, 2), C(x, x+1), and x > −1. a) Determine the value of x. b) Determine the coordinates of point M, the midpoint of segment AB. c) Prove that vectors AB and CM are perpendi - Polygon diagonal sides
Determine the type of polygon if the number of all diagonals is 90. (Write down the number of its pages.) - Pear apple price
The price of 1 kg of pears is 7 crowns higher than the price of 1 kg of apples. The seller sold 2 kg more apples than pears. He received the same amount for pears and apples, namely 420 CZK. How many kilograms of apples and how many kg of pears did he sel - Quatrefoil circle radius
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters. - Pyramid edge calculation
The foundations of a regular truncated quadrilateral pyramid are squares. The lengths of the sides differ by 6 dm. Body height is 7 dm. The body volume is 1813 dm³. Calculate the lengths of the edges of both bases. - Meeting handshake count
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting? - Number factor product
The product of two numbers we know. If we increase the first factor by 2 and decrease the second factor by two, the product increases by 4. How much does the product change if we decrease the first factor by 3 and increase the second factor by 3? - EQ2 - symetric results
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2). - Combination element decrease If the number of elements decreases by 4, the number of combinations of the second class from these elements decreases three times. How many elements are there?
- Two conductors
Two conductors have resistance Rs=5 ohms when connected in series and Rp=1.2 ohms when connected in parallel. Calculate the value of the resistors. - Parabola point equation Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2]
- 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 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.
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