Quadratic Equations Problems - page 22 of 30
Number of problems found: 583
- Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid.
- Variation equation
Solve combinatorics equation: V(2, x+8)=72 V(2,x+8) is variations, second class, from x+8 items.
- Equation: 4274
Solve the equation: V (2, x + 2) = 90
- Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
- Manufacturer 4212
How many electronic scooters should the manufacturer sell to maximize their income if the income function is given by the equation TR (Q) = -4Q2 + 1280 Q + 350?
- Paper box
The hard rectangular paper has dimensions of 60 cm and 28 cm. We cut off the corners into equal squares, and the residue was bent to form an open box. How long must the largest volume of the box be beside the squares?
- Work together
Michal and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michal. Determine when Dorota will do the work herself and when Michal will do it himself.
- Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.
- MO SK/CZ Z9–I–3
John had the ball that rolled into the pool and swam in the water. Its highest point was 2 cm above the surface. The circle's diameter that marked the water level on the ball's surface was 8 cm. Find the diameter of John's ball.
- Determine 4104
Determine the value of x in this equation: (0.125^x) · 104 = 5000
- Quadratic equation
Find the roots of the quadratic equation: 3x²-4x + (-4) = 0.
- X-2 4025
x-2 / x-1 -2 = x + 1 / x-2
- Assuming 4015
The seat of the bicycle is 1.2 m high. The cyclist weighs 82 kg, is going down a 15% hill at a speed of 50 km/h, and hits a curb 20 cm high at an angle of 45 degrees. How far from the center of the front wheel's axis is the cyclist thrown? We are assuming
- Square and rectangle
Calculate the side of a square, which area equals the area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square.
- Determine 3948
Determine the quotient and the first member of GP if a3 = 0.52 and a1 + a2 = 0.39.
- Determine 3938
Determine the quotient and the first member of GP if a3 = 0.39 and a1 + a2 = 0.39.
- Diagonal of the rectangle
Calculate the rectangle's diagonal, whose area is 54 centimeters square, and the circuit equals 30 cm.
- Determine 3876
Determine the second term and the quotient GP if a3 = 48.6 a1 + a2 = 6
- Exponential 3858
Determine m (solve the exponential equation - unknown in the exponent): 0.25 μm = 0.5
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