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Not me this time i promise

Asuming that the x is multiplying not a variable it would be 5+(4x12)-1 or 4+(4x12)

Not again damnit get out of my acc.

Apparently its a 5th grade aptitude test problem. You can rearange any number except the 75 and put parenthesis wherever.

I myself would rearrange the problem.

But I also think that the parenthesis go like this

(4x+12)

log _y^5 (x^3)  =  k log _y (x)

Using the change-of base theorem

log x^3              log x^k

______   =       ________

log y^5               log y

3 log x                 k log x

______ =           _______

5 log y                  log y

3 log x log y  =  5k log x log y

3 = 5k

k = 3/5

Any time a computer acts weird, always the first thing to try is rebooting it.  Shut your computer down cold dead, then start up again and see if the problem is gone. 

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a=1001; x =1;b=sqrt(a - sqrt(a + x));printb,x,a;x++;if(x<1000, goto2, 0)

a =1001, x = 599, rational root =31

ok thank you for that. 

5280 ft / 1 mi  =  4488 ft/x mi

x=4488/5280 mi = .85 miles

-2(-8.4) + y - k  = .5(-8.4)+y -14

16.8 - k = -4.2 -14

k =35

Find the sum of the slope and $y$-intercept of the line through the points $(7,8)$ and $(9,0)$.

No problem for me......but I am a registered user.....I will try it a s a 'guest' to see if it happens.....

Nope....works when I am a 'guest' too     .... make sure your cursor is not on the home button when you are using the calc....dunno.

Slope = rise / run   for the two points given

          =(8-0)/(7-9) = -4

so the equation of the line looks like   y = -4x + b      to find 'b' sub in one of the given points

                                                            0 = -4(9) + b     b = 36

y = -4x + 36       y intercept occurs when x = 0       y = 36              Y-intercept + slope = 36 -4 = 32

First disc red   2 out of 6 chance     2/6       The disc is not returned , so there is only 5 left in the bag:

Second disc blue   4 out of 5 chance  4/5

2/6 * 4/5 = 8/30 = 4/15

Not positive about the second part but there are only 2 possibilities    red blue   (which we already calc'd above )  and  blue red 

First blue   4/6

Second red 2/5     4/6 * 2/5 = 8/30 = 4/15

 added to the first result   4/15 + 4/15 = 8/15  for  any order

Pretty straighforward:

2^n = 1 000 000 00

n log2 = 8

n = 26.57 months

Below is a portion of the graph of a function, y=h(x):

If the graph of y=h(x-3) is drawn on the same set of axes as the graph above, then the two graphs intersect at one point. What is the sum of the coordinates of that point?

Given that f(x) = x^{2}-2x+5 and g(x) =x+3, what is the value of f(g(5)) -g(f(5))?

1, 2, 4, 8, 16.......etc. 

Use the Geometric Series Formula to sum them up:

Sum =F x [1 - R]^N / [1 - R], where F = First term, R=Common ratio, N =Number of terms.

$1,000,000 x 100 = 1 x 2^N - 1

100,000,000 cents = 2^N - 1

100,000,001 = 2^N               Take the log of both sides

8 = N * log(2)

N = 8 / log(2)

N = 26.575 months = 27 month(rounded)

2^27 - 1 =134,217,727 cents / 100 =$1,342,177.27 - dollars.

Note: The above is the same as:

FV =PV * [1 + 100%]^N - 1

$1,000,000 =1 cent x 2^N -1

100,000,000 cents =2^N - 1 - and you  would solve for N as above.

If a = b = c = d = √2 and e = f = g = h = √3, then (ae)² + (bf)² + (cg)² + (dh)² = 24

Not sure I can prove this a minimum though!