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Peter was 60 inches tall on his thirteenth birthday. By the time he turned 15, his height had increased 15%. How tall was Peter when he turned 15?
Find 15% of 60 inches and add it to 60 inches. Find 15% through multiplying 60 by the decimal equal of 15% (0.15); 60 × 0.15 = 9. Add 9 inches to 60 inches to get 69 inches.
Method of disks or the method of rings One of the simple methods for getting the cross-sectional area is to cut the object perpendicular to the axis of rotation. Carrying out
Find the probability of drawing a diamond card in each of the consecutive draws from a well shuffled pack of cards,if the card drawn is not replaced after the first draw.
1. (‡) Prove asymptotic bounds for the following recursion relations. Tighter bounds will receive more marks. You may use the Master Theorem if it applies. 1. C(n) = 3C(n/2) + n
We're here going to take a brief detour and notice solutions to non-constant coefficient, second order differential equations of the form. p (t) y′′ + q (t ) y′ + r (t ) y = 0
In triangle ABC if angle B = 90 degrees what is the value Tan A/2 in terms of its sided? Solution) tanA=c/b let tan(A/2)=x 2x/(1-x 2 )=c/b,solve for x
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1)
If X = {a, e, i, o, u} and Y = {a, b, c, d, e}, then what is Y - X ?
how do mathematical ideas grow?
A passenger jet took 3 hours to fly 1800 km in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the
how to divide an arc in three equal parts
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