I have been online tutoring mathematics and physics on various platforms for more than 5 years. I want to share my knowledge with students and to help them with their studies.
Expand and simplify.$$(1-\sqrt{x^{2}+1})^{2}$$
Find the average of all the two digit numbers divisible by 10(A) 40(B) 50(C) 45(D) 60
Find the average of all the multiples of 12 less than 100 .(A) 48(B) 54(C) 60(D) 66
The average salary per month of a man for the first four months, next four months and the last four months of a year are $? 6000, ? 8000$ and $? 13000$ respectively. Find his average salary per month in that year (in ?)(A) 7500(B) 9000(C) 10500(D) 6600
In an office there are 20 employees. The average heights of the male employees is $180 \mathrm{~cm} .$ The average height of the female employees is $170 \mathrm{~cm} .$ Find the average height of all the employees (in $\mathrm{cm}$ ).(A) 172(B) 174(C) 176(D) Cannot be determined
A man bought 100m of wire which was wound around a drum. itweighed a kg all together. When he used the wire, he found that thedrum weighed 700g. what was the mass of each of the wire.
If a curve with a radius of 82 m is properly banked for a cartraveling 77 km/h, what must be the coefficient of static frictionfor a car not to skid when traveling at 93 km/h?
Initially 80 grams of radioactive substance was present. After 4hours the mass had decreased by 6%. If the rate of decay isproportional to the amount of the substance present at a time t.Find the amount remaining after 40 hours.
A cyclist is pedaling on his bicycle. If they travelled 16.8 kmin 1.4 hours and the diameter of his wheel is 64.6 cm, what was thecyclist's average angular speed in revolutions per minute(rpm)?
An especially violent lightning bolt has an average current of 1.26 mA lasting 0.138 s. How much electrons is delivered to the ground by the lightning bolt
Two children are playing on a balanced seesaw. One child with amass of 46 kg sits 1.3 m from the center. Where on the other sidemust the second child sit if her mass is 31 kg?