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Thanks Chris :)

If there were not so many of these questions then I could savour every one of them :(

Thanks Chris :)

Thanks Chris.  :)

Electromagnetic waves all travel at the speed of light in a vacuum, namely 299792458*m/sec, whatever their frequency.

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The y-intercept occurs when x = 0.

For the first pair you are told that when x = 0, y = 3, so the y-intercept is 3.

For the others (assuming a straight line is involved) find the slope from (y2-y1)/(x2-x1) and

equate this to (y2 - yintercept)/(x2-0)

So, for the second problem:  (-1 - 4)/(3 - -2) = (-1 - yintercept)/(3 - 0)

or:  -5/5 = (-1 - yintercept)/3

Simplify and multiply both sides by 3

-3 = -1 - yintercept

Add yintercept +3 to both sides to get:    yintercept = 2

I'll leave you to use the same technique on the third problem.

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Father's age = f, son's age = s

f - 4 = 7(s - 4)    Four years ago   (1)

f + 4 = 3(s + 4) Four years hence   (2)

From (1) we have  f - 4 = 7s - 28  or  f = 7s - 24  (3)

From (2) we have f + 4 = 3s + 12 or f = 3s + 8   (4)

From (3) and (4):   7s - 24 = 3s + 8  or  4s = 32 so s = 8

Put this back into (4) to get f = 3*8 + 8  or  f = 32

Father's age now is 32

Son's age now is 8

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Sigma notation explanation:

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I am playing with this without really looking at the other answers - or if I did I have forgotten.

I just want to see if i get the same answer.  :/

12 identical b***s

9 boxes

at least one ball in each box

so really the problem is just the same as 3 identical b***s in 9 boxes

All in the same box that is 9 ways

2 in one box and 1 in the other  9*8 = 72                or      2*9C2=72

all in different boxes maybe that is  9C3 = 84 ways

Total number of ways is    9+72+84 = 165

South Africa.....look up "Apartheid"

Consider that Justin and Tim  comprise two of the players in a five player set where the other players are "A," "B" and "C"

Then, each possible set looks like this:

{A, B, C, Justin, Tim }

Then, we just want to choose any 3 of the 8 remaining players to comprise all these possible sets

So C(8,3) = 56

So....they played on the same team 56 times

2x + 3y  = 6

When we "solve for" something, we want that thing on one side of the equation and everything else on the other side.....so subtract 2x from both sides....this gives

3y = -2x + 6       now......divide both sides by 3

y = (-2/3)x + 2  

And that's it!!!  .....BTW.....this is just the equation of a line....

 (X+4)(x-9)-4x=0      simplify

x^2 -5x - 36 - 4x  = 0

x^2 - 9x - 39 = 0       factor

(x - 12)(x + 3)  = 0     set each factor to 0 and solve

So

x = 12   and x = -3

The product of x and y equals -340 and the sum of x and y equals -3

So we have

xy = -340     and

x + y  = -3  

We can transform the second equation to

y = -3 - x  

And putting this into the first equation, we have

x(-3 -x) = -340    simplify

-3x - x^2 = -340        multiply through by -1

x^2 + 3x  = 340         subtract 340 from each side

x^2 + 3x  - 340 = 0    facror, if possible

(x +20)(x - 17)  = 0     set each factor to 0

So

x = -20   and x =  17

And using y = -3 - x

When x = -20,    y = -3- (-20)  = 17

When x = 17  y = -3 - 17 = -20

So the solutions are   (-20, 17) and (17, -20)

[OH-]=1x10-¹⁰

POH=-log[OH-]

POH=-LOG[1x10-^10]

POH=10

Why are you boring us with such a boring question?

PLEASE HELP ASAP!!!!

If there is an odd number of numbers, sort the numbers in order and the middle number will be the median.

If there is an even number of numbers, sort the numbers in order and then find the mean of the middle two numbers.

Even though there are only two numbers, find the mean of the middle two numbers.

The mean of 0 and 2 is (0 + 2)/2  =  2/2  = 1.

So, the median is 1.

Write it as  x² + x - 2550  =  0

and then either factor it or use the quadratic formula.

Adding logs can be replaced by multiplying the numbers:

log₂8 + log₂16 =  log₂(8·16)  =  log₂(128)  =  log₂(2⁷)  =  7

or:  log₂8  =  3     and   log₂16  =  4      --->      log₂8 + log₂16 =  3 + 4  =  7

3. 1415926535 8979323846 2643383279 5028841971 6939937510 

3.5e7  = 0.35e8  =  0.035e9

7.09e9 - 3.5e7  =  7.09e9 - 0.035e9  =  7.055e9

Press the nCr key (lower left) then enter the two values:  nCr(13,8) 

11 + 0.27m  =  26.70 m

Subtract 0.27m from both sides:  11  =  26.43m

Divide both sides by 26.43:  m  =  11/26.43  =  0.416 (approximately)

x^0.7 =  3

Find the 0.7 root of both sides:  x  =  3 ^ (1 / 0.7)   --->   4.804 (approximately)

f(x + 1)  =  x² - 3x + 2   --->   f(x + 1)  =  (x - 2)(x - 1)   --->   f(x)  =  (x - 3)(x - 2)

f(x)  =  0   --->   (x - 3)(x - 2)  =  0   --->   x  =  2  or  x  =  3

Sum  =  2 + 3  =  5