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What is the expression in radical form?

Hello, can somebody please help me with this question? 

multiply out brackets:

3+15i-4i- -20

double negatives cancel out

3+15i-4i+20

move like terms together:

20+3+15i-4i-(2-i)

15i-4i = 11i

20+3+11i-(2-i)

*20+3=23*

23+11i-(2-i) or to avoid confusion (23+11i)-(2-i)

i can't squeeze anymore out of it so:

(3-4i)(1+5i)-(2-i) becomes 23+11i - (2-i) . peace.

so a²+b²=c²

subract a² from both sides

b² = c² - a²

square root both sides to get

b = sqrt(c² - a²)

so there you go. peace.

ooooooooh ok that make so much more sense now thanks 

The force you are looking at is the force acting on the car to cause the accelration....this is NOT the force of impact when the car hits you (which would more closely be the Kinetic energy of the vehicle K.E. = 1/2 mv^2)

yup that's the same proof i got :D

x = .999999.....

10x = 9.9999999...

10x-x = 9x

9.99999.... - .99999... = 9x

9=9x

x=1  

10% = 10/100 or 1/10

so basically if he gives away $256 then 256 is 1/10th of the money he earnt so the amount of money he earnt is 256*10 = $2560. peace.

Let's set it up as a ratio

256 is to 10%   as   x is to 100%

256/10  =  x/100      solve for 'x'

x= $2560        amount he earned for the summer   

Sorry.....I gave the distance of the OBJECT from the lens....to find the distance of the FILM from the lens, it is very similar:

also using (1)   do =-di/ hi/ho  = - 191.666 di

1/50 = 1/(-191.666di) + 1/di

1/50 = .994783/di

di=49.73mm = distance from lens to film

well, since there are 5 of each letter and only five letters in a five letter word, then you could do five a's or five u's which is very useful. let us begin.

for the first letter there are 5 different letters to choose from and 1 letter in the word. this makes 5*1=5 1 letter words.

for two letters there is 5 letters for the first letter and another five for the second letter so that makes 5*5=25 2 letter words.

carry on until you get to five letters, where you get 5*5*5*5*5 or 5^5 different words which equals 3125 different five letter words.

so there you have it. there are 3125 different words in you could with five letters in your alphabet soup that only contains vowels for some silly hypothetical reason. peace. 

10 log (1.8 x 10^12) 

= 122. 6 

This

displays like this for me     (Google Chrome)

Everything inside dollar signs displays as LaTex   

Your expression gives the velocity integral. To get the average, Divide this by t₁-t₀

i.e. v_ave = 4.9(t₀²-t₁²)/(t₁-t₀) → 4.9(t₀-t₁)(t₀+t₁)/(t₁-t₀) → -4.9(t₀+t₁) m/s

I believe that  f(x)  is   2^x-1 + 3     and  g(x)  is  2^x+2 + 5

So

g(x)  is shifted

3 units to the left

2 units up

from  f(x)

[x^2-2x+8 ] /  [2x+8]  =

The numerator has 3 terms.

2 is a common factor in the denominator.  [ it can be factored as  2 (x + 4) ]

There are 2 terms in the denominator.

The denominator of a fraction is 2 more than its numerator.

When 1/2 is added to this fraction, the resulting fraction's denominator is twice the denominator of the original fraction and its numerator is 1 more than its denominator.

What is the numerator of the original fraction?

We have

x / [ x + 2 ]  +  1/2   =   [ 2 (x + 2)  + 1 ]   / [ 2(x + 2) ]

Simplify

[ 2x +  x + 2 ]  /  [2 (x + 2]  =  [ 2x + 5 ]  / [ 2(x + 2) ]

Multiply through by  2(x + 2)

2x + x + 2    =  2x  + 5

3x  +  2  =  2x  + 5

x  = 3     ⇒  "A"  is correct  !!!!

I think this is.....

e^(3x+5)  = 9         take the  Ln  of both sides

Ln e^(3x + 5)  =  Ln 9

(3x + 5)  Ln e   =  Ln 9    ⇒        { Ln e  = 1}

3x + 5  = Ln 9          subtract 5 from both sides

3x  =  Ln (9)  - 5       divide both sides by 3

x  =   [ Ln (9)   -  5 ]  / 3    ......the last answer is correct....if I've interpreted this correctly

Here is a knew one I just saw 

\[ x^2 + \dfrac{5}{3}x + \boxed{\phantom{000}}. \]

this is really interestig because I did not go into LaTex to do this.

I just opened it with      \[     

then the code

x^2 + \dfrac{5}{3}x + \boxed{\phantom{000}}.

 and closed it with the close ] command.

I think it would have worked almost as good  If I had opened it with a dollar sign and closed it with a dollar sign 

We have  36 possibilities  [ 6 on each die ]^2

Covering a 9  =  

Ways to  roll a 9           Possible covers

3,6                                1,8  2,7  3,6  4,5   9

4,5                                1,8  2,7  3,6  4,5   9

So

Possible Covers / Total Possible  Outcomes   =    10 / 36    =  5 / 18  

Thanks CPhill!

[2 +2] +  2*2  =  8             [4 + 4] + 4*4  = 24          [ 6 + 6 ] + 6*6  = 48

[2 + 4]  + 2*4  = 14           [4 + 6] +  4*6  = 34          [6 + 8 ]  +  6*8  =  62

[2 + 6] +  2*6  =  20          [4 + 8 ] + 4*8  = 44          [ 6 + 10] + 6*10  = 76

[2 + 8]  +  2*8  = 26          [4 + 10 ] + 4*10  = 54      [6 + 12] + 6*12  = 90

[2 + 10] + 2*10  =  32       [ 4 + 12] + 4*12  = 64      [6 + 14] + 6 * 14 = 104

[2 + 12] + 2*12  = 38        [4 + 14 ] + 4*14  = 74

[ 2 + 14] + 2*14  = 44

[8 + 8 ]  + 8* 8  =  80         [ 10 + 10] + 10*10  = 120     [12 + 12] + 12*12 = 168

[ 8 + 10] + 8*10  = 98        [10 + 12] + 10*12  =  142     [ 12 + 14] +  12*14  = 194

[8 + 12] + 8*12  = 116       [10 + 14] + 10*14 =   164

[8 + 14]  + 8*14 = 134

[14 + 14]  +  14*14  =  224

Total  different values  =  7 + 5 + 5 + 4 + 3 + 2 + 1  =     27

We  can use the tangent here

tan 30  =  H  / 24      where H is the tree height

1/ √ 3  =  H  / 24      multiply each side by 24

24/√ 3  ft   =  H  ≈ 13.86 ft  

Total matches  =

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1  =   45

Anita plays every other girl once  =  4 matches and every boy once = 5 matches...so

[ 4 + 5 ] /  45  =     9/45   =   

1/5

Here are the constraints

6x+10y≥185

y≤15

x≥6

x≤3y