√11 √5 = √(11 * 5) = √55 = approx 7.42 (rounded)
A counterexample for the statement 'All square roots are irrational numbers.' is the square root of 9. This is because when simplified, the answer is 3.
For a number to be irrational, it can't be expressed in fractional form. However, 3 can be expressed in fractional form as 3/1.
The keyboard and screen intersect in just one line.
The intersection of 2 different planes is always a straight line. Imagine where the screen and the keyboard meet. It is a horizontal line from left to right as you are looking at the middle of your laptop.
We can write and solve the differential equation that fits the statement given;
dy/dt = k(50-t)
∫dy = ∫ k(50-t)dt
= ∫ (50k - kt) dt
therefore;
y = 50kt - k/2(t²) + C
Alternatively, can be written as
y = - k/2 (50-t)² + C)
