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+259

As easy as ABC : 5y - x^2 ; x = -3 y = -5 => 5*(-5) - (-3)^2 = -25 - 9 = -34

scrutinizerAug 23, 2013

Or, if you don't have a calculator: 54.212 x 7/100

GuestAug 23, 2013

[input]54.212*7%[/input]

GuestAug 23, 2013

+104

[input](1.72)^(1/5)[/input]

ApfelkuchenAug 23, 2013

5-x+4=3x+6
9-x=3x+6
3=4x
3/4=x

GuestAug 23, 2013

Aug 22, 2013

[(3x^2)/4+x/6]*2/x = [2*(3x^2)/4+(2x)/6]/x = [(3x^2)/2+x/3]/x = [(3x^2)/(2*x) + x/(3*x)] = 3x/2 + 1/3 = 9x/6 + 2/6 = (9x + 2)/6

GuestAug 22, 2013

+12

5/8*4/5 When multiplying fractions you can just multiply the two numerators together, and then the two denominators
5 * 4 = 20
8 * 5 = 40 each of these numbers is divisible by 20 so you divide both by 20 1/2

or you could cross divide to simplify the equation earlier.
5 * 4 both 5's are divisible by 5 so you can simply that 1 * 4 1 * 1 = 1
8 * 5 8 * 1 then both 4 and 8 are divisible by 4 so 2 * 1 = 2
the first method is probably easier.

e^ixAug 22, 2013

1351324313:
2/x*(3x^2/4+x/6)

Any ideas how to solve it?

Solution is (9x+2/6)

Sorry, the solution is (9x+2)/6

GuestAug 22, 2013

Not sure what you are saying here - the equation you have shown is a simple equation for a straight line - the slope of this straight line is 7. Have you read the question correctly?

GuestAug 22, 2013

It means what it says - re-arrange the equation so that 'y = ......' then substitute x for the value shown, to get a value for y

GuestAug 22, 2013

+3146

1.5 equals 1 + 0.5 = 1+ 1/2 = 2/2 + 1/2 = 3/2

40 / ( 3/2 ) = 40 * 2/3 = 80/3

[input]40/1.5[/input]

adminAug 22, 2013

Create a right triangle from home plate to 1st base to 2nd base to home plate and use pythagorean thrm to find the hypotenuse (distance from home plate to 2nd base)

GuestAug 22, 2013

+3146

[input]expand( (3x^3)^4 )[/input]

adminAug 22, 2013

+104

m = (y_1 - y_0)/(x_1 - x_0) = ([-1] - 7)/(0 - [-2]) = (-8)/2 = -4

ApfelkuchenAug 22, 2013

+104

2*(1+0.07)^x = 5 [/2]
(1+0.07)^x = 5/2 [log_1.07]
x = log_1.07(5/2) = 13,xxx

You could also use e:
(1+0.07)^x = (1+7/100)^x = e^(7x/100)

e^(7x/100) = 5/2 [ln]
7x/100 = ln(5/2)
=> x = ln(5/2)*100/7 = 13,xxx

ApfelkuchenAug 22, 2013

60% of 40 = 60*40/100= 24
No of boys = 60-24 =16
12.5 % of boys (Indians) =16 * 12.5 /100 = 200/100 =2
25 % 0f boys (Malay) = 25 * 16 /100 = 400/100 = 4
No. of Chinese boys = 16- 2-4 = 10
ans: 10 Chinese boys

GuestAug 22, 2013

+259

The task - as it was displayed here by the topic starter - was to express a in terms of other variables not solve for all variables.

scrutinizerAug 22, 2013

+259

(3x^3)^4 = (3^4 *x^12) = 81x^12

scrutinizerAug 22, 2013

+104

Just calculate the number of decimal digits with: Int(log_10(b)*n)+1

[input]log(5)*200+1[/input]
[input]log(2)*500+1[/input]

ApfelkuchenAug 22, 2013

ther is error
when i use x=33 it gives me true answer

GuestAug 22, 2013

in order to solve this problem you have to make your bases the same (similar to what you do with fractions).

instead of having 2^500 & 5^200, why not have 5^z & 5^200, or better yet, 2^500 & 2^w.

But the question is how do you do that? The answer is simple. Express the value of 5 as an exponential expression with a base of two. In other words:

5=2^x, where x is the exponent we need to solve for. Take the logarithm base 2 of BOTH SIDES OF THE EQUATION, and you get this:

log2(5)= x, which means x=2.32...(this number is an approximation)

So now you have 2^2.32= 5, which you can use in the problem above.

5^200= (2^2.32)^200= 2^(2.32*200)= 2^464

And now you can see which one is greater

GuestAug 22, 2013

z=w+(h/m)

GuestAug 22, 2013

count the no of digits after decimal. The fraction's numerator is the number without the decimal. The denominator is 10 power the no of digits after decimal.
example
1.5 = 15/10

1.25=125/100

0.5 = 5/10

0.05 = 05/100 = 5/100

GuestAug 22, 2013

Aug 21, 2013

18.5

SpackerAug 21, 2013

-0.5625

SpackerAug 21, 2013

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