All Answers 356053 Answers

8.57 = - log [H3O+]
- 8.57 = log [H3O+]
[H3O+] = 10^(-8.57) = 2.692 x 10-9 M

I'll take a stab at it....no guarantee results are correct

Ba++(OH)2   + 2 HCl  =  BaCl2 + 2 H2O 

maybe?

Gee Chris, and I thought I was the expert in turning mole hills into mountains  LOL

No table shows up........[ ???]

First job total pay = 16 * 400 =  $6400

Second job total pay = 1300 + 1300*1.10 + 1300*1.10^2  + 1300*1.10^3 = $6033.30

So    $ [ 6400 - 6033.30 ]  =  $366.70

We need to use some logic, here

Let n = the number of neighbors

Let q be the number of oranges that each neighbor received

Let r be the number of apples that each received.......and we have the following system:

150  = q*n + 17  →    q*n  = 133      (1)

100  = r*n + 5 →       r*n =  95        (2)

Subtract (2) from (1)

q*n - r*n =  38     factor out n

n (q - r)   =  38

Since 38 factors as 2 * 19   or 19 * 2 ........

We can assume that n = 2 or n = 19

But...if n = 2    then  "q"  and "r"  in both (1) and (2)  would be fractions

So.....let us assume that n = 19

Then  q = 133/19 =  7

And r  = 95/19  = 5

So....there were 19 neighbors

Another way to do this is to factor both 133 and 95

133 = q * n = 7 * 19

95 =   r * n  =  5 * 19    and it would be clear that n = 19  in both (1)  and (2)

Well I would say so because he wants to catch the train.....

rehi bought 150 oranges and 100 apples for her neighbors. she divided the oranges equally among them and had 17 oranges left. she also divided the apples equally among them and had 5 apples left. how many neighbors were there?

So the number of neigbours is a factor of 150-17 = 133

and also a factor of  100-5=95

now i will use the web2.0calc to tell me the factors.

factor(133) = 7*19

factor(95) = 5*19

The only common factor is 19 so there are 19 neighbours   

I really liked that question :)

Determine the gradient k of the straight line passing through the point (4,0) and is perpendicular to the line 4x+17y+3=0. Reply with a shortened fraction k = a/b

First....find the slope of the given line.....

4x + 17y + 3  = 0       get y by itself........subtract 17y from both sides

4x + 3  = -17y             divide both sides by -17

(-4/17)x - 3/17    =  y     the slope of this line is   (-4/17)

A line perpendicular to the given one will have a negative reciprocal slope =  17/4

So...if k is th gradient, we have that k = 17/4

[ The fact that this line passes thorugh (4,0)  does not affect the slope ]

11

dduuuuuhhhh.

I have absaloutely no idea what ur on about. :)

Never mind I know now. Cosecant of X is the reciprocal of Sine of X, right?

If to a capital you earn 2% per month, How do you calculate the final amount after 12 months?

considering the compounding interest of each previous month added to the capital.'=

If you let the original amount by P then you will have

P(1+0.02)^12 = P*1.02^12 = P*1.26824     approximately

So 2 % per month is approximately the same as   26.824% per year

Let f(x) = 4x-5 and g(x) = 3x, find (f/g)(x)

\((f/g)(x)=\frac{4x-5}{3x}\)

First we do (9)4 which is the same as 9x4. This is 36. Now we multiply 36 x 12 and we get 432.

Hope this helps.

-G

The person above did not add enough zeroes, just to let you know.

Anyway, I'll take a crack at this question.

You know that 100% / 25% = 4, yes? Therefore, $18,000,000 is 1/4 of the original value.

Let 100% equal the original value.

$18,000,000 = 1/4(100%), which can be turned into $18,000,000 = 100% / 4.

In order to undo division, you must multiply both sides by the denominator; in this case the denominator is 4.

4($18,000,000) = 100%.

$18,000,000 x 4 = $72,000,000

$72,000,000 would be the original value in this case.

value of 15 ^ 321=3.35192395 x 10^377

Just realised I can create a graph with a slider also in the TiNspire calculator I was using.  Can only post a static picture of it here though unfortunately!

Nice graph Melody!

Thanks Alan,

I could not resist graphing this too :)

My graph is a bit interactive.

Another possibility:

17*40  →  (10 + 7)*4*10  →  (10*4 + 7*4)*10  →  (40 + 28)*10  →  68*10  →  680

This should help:

.

17x40

Double 17=34

Double 34=68

Add a zero = 680

That is how I would do it :)

E=mc^2     describes the amount of energy (E) available if all of a mass (m) where created into energy where c is the speed of light