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I eagerly await thy prompt response!

Thanks for responding guys! I'm sorry I had to get off, I'm on almost everyday from (depending on your time zone) 2:00am-6:00am...:)

Why didn't you just do them on a calculator?

C(100,3)

on most hand held calcs it is just     100   [nCr]   3 =

On the web two calc you can type in

nCr(100,3)=

A broken clock is set corectly at 12:00 noon. However, it registers only 20 minutes for each hour. In how many hours will it again register the correct time  ?

A)12

B)18  analog clock(12h)

C)24 

D)30

E)36  digital clock (12h)

1. Analog Clock:

 \(\begin{array}{rcll} \text{angular velocity real time: } \omega_1 &=& \frac{2\pi}{12\ h} \\ \text{angular velocity display time: } \omega_2 &=& \frac{2\pi}{36\ h} \\ w_2\cdot t - w_1\cdot t &=& n\cdot 2\pi \\ \frac{2\pi}{12\ h}\cdot t - \frac{2\pi}{36\ h}\cdot t &=& n\cdot 2\pi \qquad &| \qquad :2\pi \\ \frac{1}{12\ h}\cdot t - \frac{1}{36\ h}\cdot t &=& n \\ t\cdot (\frac{1}{12\ h} - \frac{1}{36\ h} ) &=& n \\ t\cdot ( \frac{36-12}{12\cdot 36} ) &=& n \\ t\cdot ( \frac{24}{12\cdot 36} ) &=& n \\ t\cdot ( \frac{2}{36} ) &=& n \\ t\cdot ( \frac{1}{18} ) &=& n \\ t &=& 18\cdot n \\ \end{array}\)

next correct time, if n = 1, then t = 18 hours.

2. Digital Clock(24h):

\(\begin{array}{rcll} \text{angular velocity real time: } \omega_1 &=& \frac{2\pi}{24\ h} \\ \text{angular velocity display time: } \omega_2 &=& \frac{2\pi}{72\ h} \\ w_2\cdot t - w_1\cdot t &=& n\cdot 2\pi \\ \frac{2\pi}{24 h}\cdot t - \frac{2\pi}{72\ h}\cdot t &=& n\cdot 2\pi \qquad &| \qquad :2\pi \\ \frac{1}{24\ h}\cdot t - \frac{1}{72\ h}\cdot t &=& n \\ t\cdot (\frac{1}{24\ h} - \frac{1}{72\ h} ) &=& n \\ t\cdot ( \frac{72-24}{24\cdot 72} ) &=& n \\ t\cdot ( \frac{48}{24\cdot 72} ) &=& n \\ t\cdot ( \frac{2}{72} ) &=& n \\ t\cdot ( \frac{1}{36} ) &=& n \\ t &=& 36\cdot n \\ \end{array}\)

next correct time, if n = 1, then t = 36 hours.

4ab-2bc  =

4(-5)(-8)  - 2 (-8)(3)  =

160 - (-48)  =

208

Any non-zero quantity raised to  the power of  0   =  1

[0⁰  is indeterminant ]

So...as long as x is not equal to 0 in the given expression....... (-5x)⁰  = 1

Original Price  = 490.50 / 1.09  =  $450

Alas anonymous4338, the Troll doth bring much hardship.  

He threw 2 of our most welcomed guests into the ravine last week.

He said their fresh bath scent was polluting the stench he works so hard to maintain.

Tis lucky you be a member, an anonymous member may be even less at risk.  Tell me 4338, since thee are anonymous why doth thou have a name ???  

Tis not of concern, we remember you with affection 4338.    

what is x if 3,83 = 2x + y

Solve for x:
3.83 = 2 x+y

3.83 = 383/100:
383/100 = 2 x+y

383/100 = 2 x+y is equivalent to 2 x+y = 383/100:
2 x+y = 383/100

Subtract y from both sides:
2 x = 1/100 (383-100 y)

Divide both sides by 2:
Answer: | x = 1/200 (383-100 y)

whats a^-3*(b^4)-2 /  b^5*a^4

Simplify the following:
(b^4/a^3-2)/(b^5 a^4)

Put each term in b^4/a^3-2 over the common denominator a^3: b^4/a^3-2  =  b^4/a^3-(2 a^3)/a^3:
(b^4/a^3-(2 a^3)/a^3)/(b^5 a^4)

b^4/a^3-(2 a^3)/a^3 = (b^4-2 a^3)/a^3:
((b^4-2 a^3)/a^3)/(b^5 a^4)

Combine powers. (b^4-2 a^3)/(b^5 a^4 a^3) = ((b^4-2 a^3) a^(-3-4))/b^5:
(a^-3-4 (b^4-2 a^3))/b^5

-3-4 = -7:
Answer: | (a^-7 (b^4-2 a^3))/b^5

Steven, a sign maker for a store, makes a sign advertising couches for sale at a price of $751 each. However, the couches only cost the store $370 each. What percentage is the mark-up?

751/370=2.0298 - 1=1.0298 X 100=102.98%

To my dearest forum members,

Thy message board hath been transf'rm'd to one of a strange dialect, hon'rable Guest! May I inquire, hast thou rememb'r'd me hither? To all of our humble kingdom, thou art great! I oweth all to thou! Thou canst withstandeth the hardships of the trolls.

-Anonymous4338, student of the 2.0Calc forumM 

cos 32 = cos (10.1859163579 * pi) = 0.834223360507

cos 32° = 0.848048096156

what is the answer of cos32?

Cos(32)=0.8480.......

THIS QUESTION WAS ANSWERED YESTERDAY!!!. HOW COME YOU SUBMIT IT AGAIN????? HERE IT IS!!!.

Evaluate the Expression.

1. P(8,3)            =336

2. P(11,4)          =7,920

3. P(100,1)        =100

4. C(8,3)            =56

5. C(11,4)          =330

6. C(100,1)        =100

Jan 18, 2016 4:32:42 AM

Wed  20/1/16

1)  A forum history trip, complete with lots of comedy.  Coldplay has been doing some archeological digging.

     Thanks so much Coldplay, these old posts are great!

      http://web2.0calc.com/questions/dear-forum-members

2)   Understanding fractions - beginner equation...  Thanks guests and Melody

     http://web2.0calc.com/questions/please-don-t-give-the-answer-just-give-the-wokings

3)  Find the angle in the circle.     Melody

     http://web2.0calc.com/questions/a-central-angle-in-a-circle-of-radius-4-m-is-subtended-by-an-arc-of-length-5-m-find-the-measure-of-in-degrees-and-in-radians-degrees-round-your#r1

4)  If x is doubled by what factor does y increase?   Thanks Heureka

      http://web2.0calc.com/questions/y-3-4x-2

5)  How many ways can people sit around a table - with restrictions.   Thanks CPhill and Melody

     http://web2.0calc.com/questions/in-how-many-ways-can-we-seat-7-people-in-a-round-table-with-a-certain-3-people-not-in-consecutive-order#r2

6)  How high is the ceiling?    Thanks CPhill

     http://web2.0calc.com/questions/trigonometry-word-question

Repeats from last time:

7)  Find the hyperbola        Thanks Bertie          

     http://web2.0calc.com/questions/write-the-equation-of-hyperbole-which-is-tangent-with-the-straights-5x-6y-16-0-and-13x-10y-48-0_1

8)   The headache of slow clocks.     Heureka has offered a great answer, Thanks Heureka   

         http://web2.0calc.com/questions/clock

@@ What is Happening?  [Wrap4]   Tues 19/1/16   Sydney,  Australia Time 1:55pm   ♪ ♫

Hello everyone,

Answerer credits are awarded to CPhill, Solveit, EinsteinJr, Heureka, Coldplay, DragonLlayer554, Will8537, geno3141, and Anonymous4338.  A very big thankyou to each of you :)  

Interest Posts: 

If you ask or answer an interesting question, you can private message the address to me (with copy and paste) and I will include it.  Of course only members are able to do this.  I quite likely will not see it if you do not show me.

Communications and Fun

1)   PLEASE be CONSIDERATE of other users.          

Geno3141:

 Interest rates on investments are NOT quoted as "compounded continuosly", UNLESS sprcifically stated so. How is your computed rate of: e^7.8% different from the annual compound rate that I computed as 8.121%?

I can show you how to solve for both x and y...

y = 2x - 3

We must always, if doing it to one, do something to another.

Let's solve for x first.

Add 3 to each side...

y + 3 = 2x

And divide by 2 on each to make 2x just x...

y/2 + 1.5 = x

x = 1/2y + 1 1/2

We can also solve for y...

y = 2x - 3

After thinking about it for a second, I just realized that the solution is

y = 2x -3

Huh. I guess you're looking for x. 

In that case, then the answer is, as said by Guest...

x = 1/2y + 1 1/2

-3-(-11/9)

Let's follow PEMDAS and solve what's in the parentheses first.

-11/9= -1 2/9

Now, we have...

-3 - (-1 2/9)

Subtracting a negative from something is the same thing as adding it, so let's make our lives easier and change the equation to...

-3 + 1 2/9

That's easier! I think you can solve the rest...

-3 + 1 2/9

Your wording is a bit confusing...

If you mean 705/4695, then the answer is 0.15, rounded to the nearest hundredth.

If you mean 4695/705, then the answer is 6.66, rounded to the nearest hundredth.

I'd like to show some work.

5p+2=4p-1

Let's move all the ps one side and the constants to the other.

First, subtract 4p from each side to keep p on the left.

5p-4p=p

4p-4p=0

Now we have p+2=-1

Next, subtract 2 from each side to get rid of the constants on the left.

2-2=0

-1-2=-3

p=-3

In conclusion, when 5p+2=4p-1...

p = -3

Next equation!

7a+10=2a

Let's do the same thing.

Subtract 7a from each side...

7a-7a=0

2a-7a=-5a

So, 10=-5a

Now, let's solve to make -5a just a.

10/-5=-2

-5a/-5=a

a=-2

In conclusion, If 7a+10=2a, then...

a = -2

While looking at some reports, a store manager notes that canoes that retail for $630 end up costing customers $693 once the sales tax is added. What is the sales tax percentage

693/630=1.1 -1=.1 X 100=10% sales tax.

I'll be on for maybe a half hour more, but I agree, the forum is getting a bit quieter.