1:52 My English is not that good but you should set a condition to y= sqr(10x-x2) as sqr of a negative number only exists in complex number so the 10x-x2 is >0. Solve the desaquation and add in the fact that x must be a positive number
If you just look at the drawing you assume that they expect you to use pythagoras, the cable is 80m long so the hypotenuse would be 40m, then the vertical side is 40m. But the hypotenuse can never have the same length as either of the sides in a right triangle. So I thought the drawing is wrong what a bunch of inoperant dimwits, typical of human resources. But it's worse, the drawing is just to tip you off, if you listen to the premise without seeing it the answer is pretty elemental. And it's not a way to evaluate someone's ability to think outside the box because the drawing is plain wrong. That 10m should not be there; you could put a question mark or the real number, which is higher than 10m.
i just saw the question from the thumbnail... went my entire way and found x=2 and marked it as my final answer... but while i was doing that, i forgot that what i needed was x^2, not x... and that's how, I solve a JEE Main question and still get -1 in it...
I like that you found the function maximum without using calculus. My first instinct would be to jump to the tool that always works. Bringing a gun to a knife fight ya know
So Thickness of A4 paper (A) = 0.05 mm to 0.1 mm Distance between the Moon and the Earth (B) = 384,400 km We can calculate how many times you'd need to fold an A4 paper to reach the distance from the Earth to the Moon: If an A4 paper is folded 42 times, its thickness will theoretically equal or exceed the distance to the Moon. If an A4 paper is folded 42 times, its thickness will theoretically equal or exceed the distance to the Moon. So this is my reasoning: Each fold doubles the thickness of the paper. After 42 folds, the thickness (T) can be represented as T = A x (2 to the power of 42) Where A is the initial thickness for the A4 paper We need to check if T ≥ B Calculating T with the given ranges of A: For A = 0.05mm: T = 0.05 x (2 to the power of 42) For A = 0.1mm: T = 0.1 x (2 to the power of 42) Convert the distance B from kilometers to millimeters: 384,400km = ?...mm = 384,400,000,000mm Therefore: T = 0.05 × (2 to the power of 42) = 219,902,325,555mm or T = 0.1 × (2 to the power of 42) = 439,804,651,110mm 219,902,325,555mm = 219,902.32km 439,804,651,110mm = 439,804.65km B (Moon to Earth) = 384,400 km So depending on the paper thickness which i used the lower and the higher end of the average range, the final thickness would be slightly lower to or exceeding the distance between the Earth and the Moon.
My way of solving it is by converting 0.9 repeating into a fraction (which we all know is equal to 1) and minus after substitution:3 Proof that 0.9 repeating = 1 0.99999.... = x 9.99999.... = 10x 10x - x = 9.9999..... - 0.999.... 9x = 9 x = 1 Thus 0.999.... = 1
'That's how we write it in Indian math system or use the continuation sign' 1-0.999... is exactly 0. It's not 0.000...01. Not sure what 'continuation sign' you are talking about. 'And its not 10^n' 0.000...01 is 1/10^n, where n is natural. The digit '1' is situated at some nth position after the decimal dot. That means that the decimal corresponds to the number that is the sum of the series 0*1/10^1+0*1/10^2+0*1/10^3+...+0*1/10^(n-1)+1*1/10^n+0*1/10^(n+1)+0*1/10^(n+2)+0*1/10^(n+3)+..., which is 1/10^n. 'cause u have not defined n' I did. n is any natural number. The expression '0.000...01' can refer to many numbers, including 0.01, 0.001, 0.0001.
I did this a little differently, took the upside down quarters and subtracted their area which left me with the larger part of the claw and the first column with a partial left bottom corner. Similarly i took the smaller claw from the upright quarter circles and got the smaller claw and part of the first and complete second square from bottom row. Now i subtracted the whole boxes which were not part of the claws and the bottom left corner once to get the desired area
If you carefully look at this problem you don't need equations. It's well known that 3,4,5 is a Pythagorean Triplet with 5 being the hypotenuse. With that logic x is 2. It's a simple mental math problem.
This isn’t making sense at all, the way y’all say it makes it sound like the paper gets folded 42 times and then it just flies to the moon. After you fold the paper what happens?