All Answers 358460 Answers

A/B = -3/2.

Like so:

7th row==73 + ( - 8 * (7 - 1))

           ==73  + ( - 8 * 6)

           ==73  +  - 48

           ==25 - number of boxes in the top row.

Sum==7 / 2 * [2*73 + ( -8 * 6) ]

        == 3.5 * [146  +  ( - 48) ]

        == 3.5 * [ 98]

        == 343 - total number of boxes in the entire display

Answered on the original

Hi MGoo

2b = 2a+c       The external angle of a triangle is equal to the sum of the opposite internal angles

b=   a+37        same reason

now its easy to finish.  :)

∑[ 443 * 4^(n - 1), n, 1, 7 ]==2,419,223 - number of visitors after 7 weeks.

The general term is:

\(\displaystyle \binom{9}{n}\;(2z)^{(9-n)}(\frac{-1}{\sqrt z})^n\\~\\ =\displaystyle \binom{9}{n}\;(-1)^n(2)^{(9-n)}(\frac{1}{\sqrt z})^n*z^{(9-n)}\\~\\ =\displaystyle \binom{9}{n}\;(-1)^n(2)^{(9-n)}*z^{( \frac{-n+18-2n}{2} )}\\~\\ =\displaystyle \binom{9}{n}\;(-1)^n(2)^{(9-n)}*z^{( \frac{18-3n}{2} )}\\~\\ \qquad \text{You want the constant so}\\ \qquad (18-3n)/2=0 \quad \therefore n=6\\~\\ constant = \displaystyle \binom{9}{6}\;(2z)^{(9-6)}(\frac{-1}{\sqrt z})^6\\~\\ constant = \displaystyle \binom{9}{6}\;(2z)^3 (\frac{-1}{\sqrt z})^6\\~\\ constant = \displaystyle \binom{9}{6}\;*\;8\\~\\ \)

(1001, 2002, 3003, 4004, 5005, 6006, 7007, 8008, 9009) >>Total = 9 such palindromes

You can get:

2^10  -  9 =1,015 products

Answers without explanations are useless.

The answer is 20*sqrt(7).

The probability is 3/40.

By Inclusion-Exclusion, the answer is 25.

p + q + r = 28.

You couldn't think of: 3459 =3 + 4 + 5 + 9 = 21

h = 12.

If I give my brother 5 dollars, then we will have the same amount of money. If instead, he gives me 12 dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)? 

Let M = my original amount 

Let B = brother's original amount 

(M – 5)  =  (B + 5)                                  (eq 1)  

(M + 12)  = 2 • (B – 12)  =  2B – 24        (eq 2)  

Subtract (eq 1) from ((eq 2)           M + 12  =  2B – 24  

                                                       M – 5    =  B + 5  

                                                             17  =  B – 29  

                                                               B  =  46  

                                                  and btw M = (B + 10)  =  56  

_.

What is 3/2 of 50, 000  

1.5 x 50,000 = 75,000  

8 C 3 ==56 combinations 

(2, 3, 4) , (2, 4, 5) , (2, 5, 6) , (2, 6, 7) , (2, 7, 8) , (3, 4, 5) , (3, 4, 6) , (3, 5, 6) , (3, 5, 7) , (3, 6, 7) , (3, 6, 8) , (3, 7, 8) , (4, 5, 6) , (4, 5, 7) , (4, 5, 8) , (4, 6, 7) , (4, 6, 8) , (4, 7, 8) , (5, 6, 7) , (5, 6, 8) , (5, 7, 8) , (6, 7, 8) , Total =  22 such triplets

The probability is: 22 / 56 == 11 / 28

The probability is 3/4.

CE = 22*sqrt(2).