Numbers - math word problems - page 310 of 311
Number of problems found: 6207
- De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers. - Average of average
Three different numbers are given. The average of the average of two smaller numbers and the average of the two larger numbers is equal to the average of all three numbers. The average of the smallest and largest number is 2022. Determine the sum of the t - Pipes
A water pipe has a cross-section of 1903 cm². In one hour, 859 m³ of water flows through it. How much water flows through a pipe with a cross-section of 300 cm² in 11 hours, if the water flows at the same speed? - Squirrels
The squirrels discovered a bush with hazelnuts. The first squirrel plucked one nut, the second squirrel two nuts, and the third squirrel three nuts. Each new squirrel always tore one nut more than the previous squirrel. When they plucked all the nuts from - Daily average
Calculate the average temperature during the day if the temperature was 24 °C for 14 hours and 14 °C for 10 hours. - The number - digits
Vera formed different three-digit numbers from three given digits. When she added up all these numbers, the sum was 1554. What digits did Vera use? - Drinking water
A man drinks a barrel of water in 21 days, and a woman drinks in 43 days. How many days do they consume a barrel together? - Father son painting
A father and son paint the apartment together in 6 hours. My father would paint the apartment in 9 hours. In how many hours would the son paint the apartment himself? - Dice - 5 times
We roll the dice five times. Make sentences: a) 3 events that definitely cannot happen. Write a reason for each. b) 3 events that will definitely occur; write a reason for each. Another problem: 3 events that may or may not occur for each. Write a reason. - Sinus
Determine the smallest integer p for which the equation 3 sin x = p has no solution. - Three-digit number
Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number. - Forces
Forces with magnitudes F1 = 42 N and F2 = 35 N act at a common point and make an angle of 77°12'. How big is their resultant? - Octahedron - sum
On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7, and 8, wherein on different sides are different numbers. John makes the sum of the numbers written on three adjacent walls for each wall. Thus got eight sums, which al - Modulus and argument
Find the mod z and argument z if z=i - Goniometric form
Determine the goniometric form of a complex number z = √ 110 +4 i. - Third roots Determine the sum of the three complex third roots of the number 64 .
- Root sum
What is the sum of the fifth root of 243? - Complex roots Find the sum of the fourth square root of the number 16.
- Complex square roots
Determine the sum of the three square roots of 343. - Calculate roots of z
Calculate the ratio of the two fifth roots of the number 32.
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