All Answers 352702 Answers

Actually, I think Hypotenuisance is correct.

I plot out the coordinates: https://www.desmos.com/calculator/sbzvxqifsw and it makes a line. Forgot how to calculate though.

How did you get that answer?

Thanks for the A2A. I believe the answer is 111 ft.

Cheers!

Hey...have you tried 5.5?

Never mind, I think it is 4320 as we have 6 ways they can buy the pets. 

Cheers!

Thanks for the A2A. I believe the answer is 15*6*8, which is 720.

Let me know if it is correct. 

Cheers!

Thanks for the A2A. 

First, let's convert .92 into a fraction.

That would be 92/100. Now let's figure out the probability of 1 case of 1 number(there are 2 numbers, 8 and 9).

To have exactly 8 students, that would be \(\frac{92^8*8}{{100}^{9}}\) probability for 1 case. Compute that and you'll get .041.

To find the total number of cases in #8,  ​we can use the combination formula to get \(\frac{9!}{8!}\) which is simplified to 9. 

.041 multiplied by 9 is approximately .37.

Now we can figure out the probability for exactly 9 students.

It is .472. There is only one way we can sort 9 students from 9, so we keep it. 

.37+.472  is approximately 84.17%.

Cheers!

(2, 4, 12, 14, 24, 32, 34, 42, 52, 54, 124, 132, 134, 142, 152, 154, 214, 234, 254, 312, 314, 324, 342, 352, 354, 412, 432, 452) = 28 such numbers

Thanks for the A2A. First, look at the last digit column. B only makes sense for 7, as 15-7 is 8. 

Also, look at the first digit column and you'll see that C is 5. 

If you add 588 and 297, the answer is 885, which means a is 8. 

7+5+8 = 20.

Cheers!

nevermind. 5.5

Please ignore my stupidity :D

D=6; C=2; ((D nCr C * 5^(D-C)) / 6^D =20.09 %

\(\frac{x^2}{36} - \frac{y^2}{16} = 1\\ a=6\\ b=4\)

Guest above had the right idea but he used the wrong value.

\(PF_1=7\\ a=6\)

so

\(||PF_2|-|PF_1||=2a\\ ||PF_2|-7|=12\\ |PF_2|-7=\pm12\\ |PF_2|=-5,\quad or \quad 19\\ \text{can't be negative}\\ |PF_2|=19\\ \)

Here is the diagram.

600 / [600 + 300] =600 / 900 =2 / 3 of the roads are two-lane.

D = Dimes 

Quarters =D + 12

0.10D + 0.25[D + 12] =7.55, solve for D

D = 13 dimes

13 + 12 = 25 quarters

[13 x 0.10] + [25 x 0.25] = $7.55

no...

I put 19 but it was wrong...

You can do this:

2,  12,  29,  61, 116,  202, 327
   10,  17,   32,  55,   86,   125
        7,    15,   23,   31,   39
             8,      8,     8,     8 

But, much better idea is to find a "closed form" for the next term, which in this case is:

 a_(n-1) = 4 n^2 - 5 n + 11 

a_(8-1)  = 4*7^2 - 5*7 + 11

a_(8-1)  = 172 - Then you would add this to the last term: 327 + 172 =499 which is the 8th term. And if you continue like this, your sequence will be:  2, 12, 29, 61, 116, 202, 327, 499, 726, 1016, 1377, 1817, 2344, 2966, 3691, 4527, .....etc.

Just to check, 4.916722 is the right answer, right?

The slope between the points (-3,1) and (5,5) is 8/4 = 2.  Then by point-slope form, the equation of the line is y - 1 = 2(x + 3), or y = 2x + 7.  So when x = 6, c = 2*6 + 7 = 19.

hint:

use slope formula.

Make sure all the points have the same slope

3) The quadratic is 3x^2 + x + 5, so a + b + c = 9.

4) Completing the square in x and y, we get 2(x - 6)^2 + 2(y + 2)^2 = 100, so the radius of the circle is 10.  Then the side length of the square is 20, and its area is 400.

A decrease of 2/5 =40% in time, will require an increase of 1/40% =2.5 in manpower to finish the job in 2 days. So, 2.5 x 4 = 10 workers will be needed.Or 10 - 4 = 6 additional workers to finish the job in 2 days.

Ok, I understand now. Thanks! 

M =0.4 F,   

M+10 =0.5F + 5, solve for F, M

F =50 years - Father's age

M = 20 years - Matt's age