Square (second power, quadratic) + third power - practice problems
Number of problems found: 64
- Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares.
- Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ...
- Original model
When drying, the modeling mass loses 36% of its original volume. If the cube's volume is 5.12 dm³ after drying, what was the original length of the edge?
- Times 81462
5 to -11 times 5 to -7/5 to zero times 5 to -15 minus ( -5 ) to -2
- Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵
- FINDING GEOMETRIC MEANS
Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81]
- Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number.
- Evaluate 26
Evaluate square root: √1³+2³+3³+4³=
- Inspect 5
Inspect the sequence and complete the following statement: seq: 1, 4, 9, 16, 25, 36, 49 The first two numbers differ by a. The second and third numbers differ by b. The third and fourth numbers differ by c. The difference between any two successive number
- Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot
- Indoor aquarium
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism-shaped. Find the following: 1. If the aquarium's height is x, then find the area of the base (
- Seventh term
The first term of a geometric sequence is nine, and the third term is 1296. Find the seventh term.
- The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has
- Future value investment
Poseidon deposited 2,747 golden drachmas in a Mount Olympus college savings account to ensure Percy could attend college. It pays 0.04 (percent in decimal form) annual interest. After 11 years, he withdraws the money. How much more money would he have if
- Liters 44041
What is the length of the edge of a cube with a volume of V = 1728 liters?
- The length 2
The length of a rectangle is 12y² – 15y + 8, and the width is 7y – 11. Find the area of the rectangle.
- Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the box's edge and surface area.
- Natural 39393
What is the sum of all natural numbers less than 100 that are the power of 4?
- Much 37741
How much is half the half the cube half?
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