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2sin(32°)*cos(32°)-sin(64°)=0

(x+y+z)(xy+xz+yz)=25,  x^2(y+z)+y^2(x+z)+z^2(x+y)=7 

Expand the first equation 

yx^2 + zx^2 + xyz  + xy^2 + xyz + zy^2  + xyz + xz^2 + yz^2   =  25  simplify

yx^2 + zx^2 + xy^2 + zy^2 + xz^2 + yz^2 + 3xyz = 7     (1) 

Expand the second equation

yx^2 + zx^2 + xy^2 + zy^2 + xz^2 + yz^2  = 7      (2)

Substitute  (2) into (1)

7 + 3xyz  =   25       subtract 7 from 25

3xyz   = 18            divide both sides by 3

xyz  = 6

190+7x=170+9x     subtract 170, 7x from both sides

20  = 2x                  divide both sides by 2

10  = x

Call the points scored by one player, x

Call the points scored by another player, 2x

Call the points scored by the third player, x - 10

So we have

x + 2x + x - 10   = 70    simplify

4x - 10  = 70     add 10 to both sides

4x = 80       divide both sides by 4

x = 20   

2x = 2(20) = 40

x - 10  =   20 - 10  =  10

So the three players scored 10, 20 and 40 points, respectively

dont no

Example :

log ₁₂₅ 5     input as     log (5, 125)

3 8/9 + 1 5/12

3 + 8/9  =   35/9

1 + 5/12  =    17/12

So

35/9 +  17/12        get a common denomonator of 36

140/36 +  51/36 = 

191/36   =  5 + 11/36

Hi Solveit,

Gomer can make either 200 gallons of corn liquor or 100 gallons of strawberry wine every six months. {nl}

So it 'costs' Gomer  2 gallons of corn liqour to make 1 gallon of strawberry wine.

Goober can make only 100 gallons of corn liquor or 80 gallons of strawberry wine every six months.

And it 'costs' Goober  100/80=1.25 gallons of corn liquor to make 1 gallon of strawberry wine

a. None of the other answers is correct.

b. It costs Goober 1 gallon of corn liquor to make 1 gallon of strawberry wine .        F

c. It costs Goober 0.8 gallons of corn liquor to make 1 gallon of strawberry wine .   F

d. It costs Goober 1.25 gallons of corn liquor to make 1 gallon of strawberry wine   T

e. It costs Gomer 0.5 gallons of corn liquor to make 1 gallon of strawberry wine      F

I'm going for d too  :))

GingerAle: You are drunk! Get sober first and then just maybe you will understand the question. This is way out of your league!. By the way, learn to stop ranting, especially about matters you know nothing about!. When it comes to financial problems, you don't seem to know your head from your tail!.Behave yourself like a lady!

From a standard​ 52-card deck, how many 4-card hands contain all diamonds?

13C4

I was playing Monopoly all night while waiting for your answer. I’m wealthy enough to play with real money but I play the game with my dog and cat (the cat cheats), so they always trade their winnings in for a few Scooby Snacks and some catnip.  Dogs and cats are not as smart as bankers are, but I greatly prefer their company.

Tell me: did you or do you still play the game?  Did/does anyone trust you enough to be the banker?

I knew you’d get this wrong! You usually interpret these “odd ball” questions wrong. It makes sense you would because you were a banker, and this scenario would never occur in the real world.  You were never conditioned nor practiced to think this way.

This is how I interpret the question. The debtor has two options to repay the $100,000.

Option 1: pay $1,110.21 per month for 120 months. This works out to a loan rate of 6.00%.

Option 2: pay $550.10 plus a fixed percentage each and every month until the entire loan is paid off. 

If this were an interest free loan then the payments would be $833.33 per month for 120 months.  Subtracting $550.10 from $833.33 gives $283.23. This is 51.49%.  So, by paying $550.10 plus a fixed percentage of 51.49% ($283.23) per month you meet the loan requirements and pay zero interest.

This seems like the better deal to us genetically enhanced chimps.

It appears that there is no "direct solution" to g in this problem. This formula, along with many others, has been programmed into my computer and it can solve any variable very rapidly. It uses iteration and interpolation to come up with the answer very quickly. So then, plugging in all the known variables, and solving for g, it comes out with this number:

g=1.1679304685%. And it checks.

As to which is a better deal for the farmer, we just sum up the two payment methods:

1) $1,110.21 x 120 =$133,225.20

2) The second method becomes a geometric series, and if we sum it up we get:

$142,643.82, which, as can be seen, is much more expensive than the No. 1 choice above.

graph the answer to p<-1?

What is 5 to the power of 2/3

\(\sqrt[3]{25}\)

20\110=2200

inverse sine is the same as asin

press   [2nd] [asin]

A^n=1.23245^10^5(1+3/5(1-(4/9)^n))=1.23245^10^5/5(8-3(4/9)^n)

\(A^n=1.23245^{10^5}(1+0.6(1-(\frac{4}{9})^n))\\ A^n=1.23245^{100000}(1+0.6-0.6(\frac{4}{9})^n))\\ A^n=1.23245^{100000}(1.6-0.6(\frac{4}{9})^n))\\\)

2xy-4ac+5yx+4ac

Since x*y   is the same as   y*x    2xy and 5yx are like terms and you can add them together to get 7xy  (or 7yx)

2xy-4ac+5yx+4ac

=2xy+5yx+4ac-4ac

=2xy+5xy+0

=7xy

If f(x)+x^5[f(x)]^3=2052 and f(2)=4, find f′(2)

\(f(x)+x^5[f(x)]^3=2052\qquad f(2)=4,\qquad find f′(2)\\ f'(x)+x^5*3[f(x)]^2*f'(x)+5x^4*[f(x)]^3=0\\ f'(2)+2^5*3[f(2)]^2*f'(2)+5*2^4*[f(2)]^3=0\\ f'(2)+32*3[4]^2*f'(2)+5*16*[4]^3=0\\ f'(2)+32*3*16*f'(2)+5*16*64=0\\ f'(2)+1536*f'(2)+5120=0\\ 1537*f'(2)=-5120\\ f'(2)=\frac{-5120}{1537}\\ \)

39-15 = 24

Rate  x  time  = distance     BUT you need to be in the same units  (hrs  or  km  or  etc)

7000 km/hr  x   1 hr/60min  x  84 min  =  9800 km