Power - math word problems - page 23 of 31

Number of problems found: 610

Two diagonals
The rhombus has a side length of 12 cm and a length of one diagonal of 21 cm. What is the length of the second diagonal?
Rectangle pool
Find the dimensions of an open pool with a square bottom and a capacity of 32 m³ that can have painted/bricked walls with the least amount of material.
Aquarium volume
The aquarium is shaped like a cube and is partially filled with water. For Peter, a cube with an edge of 8 cm fell into it and completely sank. The water level in the aquarium rose by 1 cm. What is the volume of the whole aquarium?
Scooter income
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?
Equation value
Determine the value of x in this equation: (0.125^x) · 10⁴ = 5000
Vacuum efficiency
Determine the efficiency of a vacuum cleaner with a power input of 1.2 kW when the suction power is 360 W.
Mixer work
What was the useful work output of a mixer with an efficiency of 30% if it consumed 4.5 kWh of energy?
Efficiency
What is the power output of a kettle 2 kW with an efficiency of 90%?
Two machines
Performances of two machines are in a ratio of 7:12. A machine with less power produced 406 pieces of products per shift. a) How many pieces are produced per shift second machine? b) How many pieces produced two machines together for five shifts?
Expression value
Specify the value of this expression: 4! · 2^-5
Area of a cube
Calculate the surface area of a cube if its volume is equal to 729 cubic meters.
Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. Write a total of this number and its fifth on the second line. She wrote a sum of this number and its one ninth on the third row. Finall
Third roots
Determine the sum of the three complex third roots of the number 64 .
Exponential equation
Determine m (solve the exponential equation - unknown in the exponent): 0.25 μm = 0.5
Number puzzle
Anthony said: I have a natural number x. if I multiply it by four-thirds, I get three times the original. What number did Anthony mean?
Square root puzzle
Find a natural number whose square root is 27 times its square root.
Volume and area
What is a cube's volume with an area of 361 cm²?
Number puzzle
Darius said to Miloš: I think a number. If I raise it to the power of one-fourth and then multiply by 3, I get its square root. Find the unknown number that is greater than zero and belongs to the set of positive integers.
Root equation
We have 2 numbers. If we multiplied the first number's third root by the second number's square root, we would get the number 18. Determine these 2 numbers. Calculate only the integer solution if the problem has infinitely many solutions in the set of rea
Number calculation
Specify a number that is 61% less than 10².

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