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I think that you have got too many equal signs in there.  :))

In 15 minutes it wil paint 340/3=113 and 1/3

so in an hour it will paint 4 times this many

$$\left({\mathtt{113}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right){\mathtt{\,\times\,}}{\mathtt{4}} = {\frac{{\mathtt{1\,360}}}{{\mathtt{3}}}} = {\mathtt{453.333\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

We  can do this one by process  of elimination.

Add all the coefficents of each polynomial together....eliminate any whose sum is not 6.

This ....A and D can be eliminated  (do you see why this is true??)

So the choice comes down to B or C

Note that when we put 7 into B, that the first term is a relatively larger positive to the second term's negative and the same is true of the third and 4th terms.....thus f(7) would be positive. But our f(7) has a negative value (-54).

Thus....C must be the correct answer.....

What good manners :)

I'll give you 3 points for having a go  - and because I am in a playful mood :)

Yes McKmney, I agree, 60 is less than 180 but that does not tell us much about s      LOL

3s<180

s<180/3

s<60

I don't know formulas so I will have to work it out using logic and rates.

hz=cycles /second

wavelength=metres/cycle

speed of light is  299 792 458 m / s      (according to some clever person on Google)

m/cycle=m/s*s/cycle   (the seconds cancel out)

m/cycle= 299 792 458 divided by 2.45 x 10^14  

$${\frac{{\mathtt{299\,792\,458}}}{\left({\mathtt{2.45}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{14}}}\right)}} = {\mathtt{0.000\: \!001\: \!223\: \!642\: \!685\: \!7}}$$       this is in metres

$${\frac{{\mathtt{299\,792\,458}}}{\left({\mathtt{2.45}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{14}}}\right)}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{9}}} = {\mathtt{1\,223.642\: \!685\: \!714\: \!285\: \!714\: \!3}}$$       this is in nanometres

I think that is correct  

8r-r/6 > 1/6-8

multiply both sides by 6 to get rid of the fractions

48r-r>1-48

47r>-47

r>-1

What is Ri ? Is  that 2 things or just one?

Is  that hyphen between the 2 zeros meant to be a decimal point?

anyway

$$\\1.451 = 1.470 - Ri * 0.0148 \\
1.451-1.470 = - Ri * 0.0148 \\
-0.019 = - Ri * 0.0148 \\
Ri=0.019/0.0148$$

and you can finish it   

Slope is defined to be rise / run

or:  the change in y / change in x

or:  m  =  (y2 - y1) / (x2 - x1)

For two points like (3, 5) and (12, 8) the slope is:  m = (8 - 5) / (12 - 3)  =  3 / 9  =  1 / 3,

so, for every run of 3, there will be a rise of 1, for every change in x of 3, there is a change in y of 1.

Now, let's try two points that lie on a vertical line:  say,  (7, 2)  and  (7, 12)

     --->  m  =  (12 - 2) / (7 - 7)  =  10/0  <--- this is undefined because you can't divide by zero

     --->  every vertical line has "no slope" or an "undefined slope".

Let's compare this to a horizontal line:  say,  (4, 5)  and  (21, 5)

     --->   m  =  (5 - 5) /(21 - 4)  =  0/17  =  0      

     --->  although there was a run of 17 (from 4 to 21), there was no rise (it started at 5 and ended at 5, it is              perfectly flat)

     --->  since zero is a number, every horizontal line has a slope, and its value is 0.

In this case "zero" doesn't mean "none"  

--->  "zero" means a flat line, a horizontal line

--->  "none" (or "no slope") indicates a vertical line

X equals treasure.

It always marks the spot on pirate's treasure maps :))

This is an excellent thing to know - especially if you are a pirate.  

You do it with the calc on the home page. :)

thanks bro or sis.

3s<180 -> 3s=180 -> 180/3=60 -> 3(60)=180, so s=60 which that means 60<180.

With an equilateral triangle, all three sides are equal.

I'll use KM and KS.

KM = KS   --->              x + 6  =  2x - 3

Subtract x from both sides:  6  =  x - 3

Add 3 to both sides:            9  =  x

So, if  x = 9  and KM = x + 6, how much is KM?

You have to multiply the any number to both and top, but bottom must be 10 or 100 and then divide.

Example: 6/25 -> 25x4=100, 6x4=24 -> so the answer is 24/100 -> 0.24 or 24%.

To figure this out:

take the first function:  f(x) = x³+ 8x² + 10x - 1    and the first point: (1, 6)

     find f(1)  =  (1)³+ 8(1)² + 10(1) - 1  =  ?

     If this answer isn't 6, this can't be the correct answer, so eliminate it and go to the next function.

     If this answer is 6, then check out (2,11) and then (4, 39) and, finally, (7, -54).

If all four points work, that is the correct answer; if any one doesn't work, it can't be the right answer, go to the next function.

power = work / time

I'm assuming that you meant '2', not 'z' for the right side of your second equation:

3x - 2y + z = 1

-x + y - z = 2

5x + 2y + 10z = 39

The variable z seems to be the easiest to remove:

Using the first and second equations:

                     3x - 2y + z = 1

                     -x +  y  - z = 2

Adding down:  2x  - y      = 3

Using the second and third equations:

-x + y - z = 2              --->   multiply by 10   --->     -10x + 10y - 10z  =  20

5x + 2y + 10z = 39                                      --->        5x  + 2y + 10z  = 39 

Adding down:                                                          -5x  + 12y          = 59

Combining these equations:

 2x   -    y  =   3           --->   multiply by 12   --->   24x - 12y  =  36

-5x + 12y  =  41                                          --->    -5x + 12y  =  59

 Adding down:                                                       19x           =   95     --->   x  =  5

Replacing x = 5 into 2x - y = 3   --->   10 - y  =  3     --->     y  =  7

Replacing x = 5 and y = 7 into 3x - 2y + z  =  1   --->   15 - 14 + z  =  1    --->     z  =  0

1/2 * 2-3=    1/2*-1  =  -1/2

Very nice, geno......

Did you mean sinh (hyperbolic sine)?

If so, common scientific calculators usually do not have them. However, graphing calculators, such as the TI calculators do, as well as the calculator at this site. 

A matrix is a rectanglular array of numbers.

A table of numbers, such as one that gives the statistics for all the NFL quarterbacks, is a matrix provided that there is a number in each slot (zeros are quite fine). Each row would represent the statistics for one quarterback, each column one of areas (such as number of passes thrown).

Yes, you just have to "reverse" it. Basically, 8^-3 is 2

This is due to the fact that the volume of a pyramidal object is always 1/3 that of its associated prismatic object (an object on the same base with the same height). So, the volume of a cone is 1/3 of that of its associated cylinder.