In a certain culture the number of bacteria at any instant increases at a rate proportional to the cube root of the number present at that instant. If the number becomes 8 times in 3 hours, when will the number be 64 times?

Find a third proportional of the numbers 3, 8.

Density of all the nuclei is same. Radius of nucleus is directly proportional to the cube root of mass number.

The rate of increase of the bacteria in a culture is proportional to the number of bacteria present and it is found that the number doubles in 6 hours. Prove that the bacteria becomes 8 times at the end of 18 hours.

The rate of increase in the number of bacteria in a certain bacteria culture is proportional to the number present. Given the number triples in 5 hrs., find how many bacteria will be present after 10 hours. Also find the time necessary for the number of bacteria to be 10 times the number of initial present. [Given log_e3=1. 0986 ,\ e^(2. 1972)=9 ]

It given that the rate at which some bacteria multiply is proportional to the instantaneous number presents. If the original number of bacteria doubles in two hours, in how many hours will it be five times?

In a radioactive disintegration, the ratio of initial number of atoms to the number of atoms present at an instant of time equal to its mean life is

When a number is subtracted from 8 less than three times the number, the result is 142. What is the number?

Find a number such that when 5 is subtracted from 5 times the number, the result is 4 more than twice the number.

The average of thrice the cube of a number and twice the square of the same number equals eight times the same number . Given that the number is a positive integer, what is the number?

The rate of disintegration of a radioactive substance is …………………………… to the number of atoms present at that time .