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It is NOT 51/3 but 5 + 1/3 ==16/3 !!

My friend said I would get a million dollars if I solved it.

16/3? wouldnt 51/3 simplify to 17/3?

what is 1000x5983

The answer is C.

Sum of two sides of a triangle is greater than third side

29 + 40 > x where x=length of the third side

Diffrence of two sides < length of third side

40 - 29 < x

29 + 40 > x > 40 - 29

69 > x > 11 or 11 < x < 69

The man is twenty thousand(2 *104) times larger than the paramecium

1 meter ==1,000,000 micrometers.

1.7  x  1,000,000==1,700,000 micrometers.

1,700,000 / 85 ==20,000 times bigger for a ratio of:

20,000 :  1

Let the amount invested at 5/2% ==P

Then, the amount invested at 2% ==9,000  -  P

5/2 ==2.5%

0.025P  +  0.02 * [9,000  -  P] ==215, solve for P

0.025P  +  180 - 0.02P ==215

0.025P - 0.02P ==215  -  180

0.005P ==35

P ==35 / 0.005 ==$7,000 - invested at 5/2%

9,000  -  7,000 ==$2,000 - inested at 2%

This is the Riemann hypothesis and no mathematician has yet either proven or disproved it!

The answer is 12.

The minimum possible distance is 2*sqrt(6).

The maximum value is 3/4.

There are 196 ways.

Sorry, I do not see a diagram, could you give the asymptote code or the image itself?

Hello Guest,

(a) Let's start by squaring. We have \(a^2+b^2+2ab=16.\) Thus \(a^2+b^2+2ab=a^4+b^4.\)We soon see that the only solutions for \(\boxed{ab=0.}\)

(b) Problem explictly states that \(a+b=4\).

(c) We know that \(a+b=4\) and \(ab=0\). Thus one of either \(a\) or \(b\) must be zero.

There are four solutions: \((a,b)=(2,0);(-2,0);(0,2);(0,-2).\)

Guest, that is wrong.

We have \(\sqrt{x} + 2 = \sqrt{x+100}\). Squaring both sides, we have \(x+4+4\sqrt{x}=x+100\). Combining like terms, we get \(4\sqrt{x}=96\), thus \(\sqrt{x}=24.\) So we have \(\boxed{x=24^2=576.}\) Plugging this in, we see see that it is a solution to the equation. \(\square\)

!! the solution is \(1-x^5\)!!

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I agree with that answer as well. Both of the factors will always result in a result greater than or equal to 0. 

Ahh, an interesting question. Let's go through this step by step. What can you say about the numbers on the nth row of the pascal triangle?

Simplify the expressions and see what happens :D

the answer is 14y^4