All Answers 356462 Answers

n - m = 5.

If a = b = c = 0, then all the roots are 0.

The value of the red heart is 88.

The smallest x, y, z are:

x = 14,   y = 70,   z = 126

x + y + z = 14 + 70 + 126 = 210

K = 2.

I found this on quora. Look there for a VERY detailed explanation.

https://www.quora.com/Let-k-be-a-positive-real-number-The-line-x-y-k-and-the-circle-x-2-y-2-k-are-drawn-What-is-k-so-that-the-line-is-tangent-to-the-circle

Amy # = A

B = 3A

C =9A

D = 6A             (this is all given in the Q)

A * 3A * 9A * 6A = 162

A = 1

 then

B = 3

C = 9

D = 6

The answer is -1.

let's first start with small numbers, i^1 + i^2 + i^3 + i^4. Assuming in your case i is the imaginary number, I'll start by calculating that. i^1 is just i. i^2 is -1, i^3 is -1(i) which is -i, and i^4 is -i(i) which is -i^2 which is -1(-1) which becomes 1. Continiuing to calculate these, you'll find that there's a pattern.

i^1 = i                   i^5 = i

i^2 = -1                 i^6 = -1

i^3 = -i                  i^7 = -i

i^4 = 1                  i^8 = 1

The powers of i repeat in groups of 4. 

Now that we've found out the pattern, we'll calculate yours. 99/4 leaves a remainder of 3. So then we have i^97 = i, i^98 = -1, and i^99 = -1. The i and -i cancel out, so you're left with the answer -1.

942! = 2^935 * 3^467 * 5^233 * 7^155 * 11^92 * 13^77 * 17^58 * 19^51 * 23^41 * 29^33 * 31^30 * 37^25 * 41^22 * 43^21 * 47^20 * 53^17 * 59^15 * 61^15 * 67^14 * 71^13 * 73^12 * 79^11 * 83^11 * 89^10 * 97^9 * 101^9 * 103^9 * 107^8 * 109^8 * 113^8 * 127^7 * 131^7 * 137^6 * 139^6 * 149^6 * 151^6 * 157^6 * 163^5 * 167^5 * 173^5 * 179^5 * 181^5 * 191^4 * 193^4 * 197^4 * 199^4 * 211^4 * 223^4 * 227^4 * 229^4 * 233^4 * 239^3 * 241^3 * 251^3 * 257^3 * 263^3 * 269^3 * 271^3 * 277^3 * 281^3 * 283^3 * 293^3 * 307^3 * 311^3 * 313^3 * 317^2 * 331^2 * 337^2 * 347^2 * 349^2 * 353^2 * 359^2 * 367^2 * 373^2 * 379^2 * 383^2 * 389^2 * 397^2 * 401^2 * 409^2 * 419^2 * 421^2 * 431^2 * 433^2 * 439^2 * 443^2 * 449^2 * 457^2 * 461^2 * 463^2 * 467^2 * 479 * 487 * 491 * 499 * 503 * 509 * 521 * 523 * 541 * 547 * 557 * 563 * 569 * 571 * 577 * 587 * 593 * 599 * 601 * 607 * 613 * 617 * 619 * 631 * 641 * 643 * 647 * 653 * 659 * 661 * 673 * 677 * 683 * 691 * 701 * 709 * 719 * 727 * 733 * 739 * 743 * 751 * 757 * 761 * 769 * 773 * 787 * 797 * 809 * 811 * 821 * 823 * 827 * 829 * 839 * 853 * 857 * 859 * 863 * 877 * 881 * 883 * 887 * 907 * 911 * 919 * 929 * 937 * 941.

The largest n = 233 =60^233

I cannot really solve this since you didn't provide a value for x...?

Put in '0' for     x and y   to find z intercept           (0,0,?)

put in '0' for     x  and z   to find y intercept          (0,?,0)

put in '0' for     y and z    to find x intercept          (?,0,0)     

x^2y^3=46656

 x         y

216     1
108     2
72     3
54     4
36     6
27     8
24     9
18     12
12     18
9     24
8     27
6     36
4     54
3     72
2     108
1     216

I will let you sum them up.

8*4 + 3(7-4) + 1/2(7-4)(8-3) is basically the big rectangle plus the small one plus the triangle, which simplifies to 32 + 9 + 7.5 which is 48.5. So you answer will be 48.5 sq cm, or choice c.

thanks for your quick answer!

10080 , 12600 , 15120 , 17640 , 20160 , 22680 , 25200 , 27720 , 30240 , 32760 , 35280 , 37800 , 40320 , 42840 , 45360 , 47880 , 50400 , 52920 , 55440 , 57960 , 60480 , 63000 , 65520 , 68040 , 70560 , 73080 , 75600 , 78120 , 80640 , 83160 , 85680 , 88200 , 90720 , 93240 , 95760 , 98280 , Total =  36 such numbers.

I think it is the wrong link... it leads to this exact page!

When I use the link it takes me to a page where the question has already been answered.  Sorry if you can't see it.

@ SHADOWwolf, don't you see that the link brings you back to the same page? What is the point of the link if it only brings you to the same page? Who are you trying to help? Are you just a troll that asks questions and clogs up the forum with "not so useful" links and answers like my hair clogs the bathroom drain? Or is it the wrong link? (The preview is there for a reason)

Anyways, for your question we will need variables:

A = Amy's coins

B = Ben's coins

C= Carl's coins

D= Debbie's coins

With what we know, we can say this:
 

B = 3A

3B = C

3D = 2C

ABCD = 162

First and foremost, we need to write each variable in terms of one variable. Let's use A:

A = A

B = 3A

C = 3B = 3(3A) = 9A

D = 2/3C = 6A

Therefore:

ABCD = A (3A) (9A) (6A) = 162A^4 = 162

A = 1

Now that we know that A is 1, we can say that:

A = 1

B = 3(1) = 3

C = 9(1) = 9

D = 6(1) = 6

To check the work, let's multiply:

1 * 3 * 9 * 6 = 162.

so our answer is right.

:)

The polynomial is x^4 - 8x^3 - x^2 + 6x - 3.

The sum of the coefficients of f is 32 - 47 = -15.

Oh...yes....

That would be believeable....

if you did not post these questions:

Good job ilorty.

Given the points J(4,-7) and L(-2,13), find the coordinates of point K on JL such that the ratio of JK to JL is 1:4

Why SHADOWwolf, have you even bothered to read the private message I sent you? If you haven't, go read it, and do as it says.

We can think of this as a 6 letter word:

_____    _____   _____   _____   _____   _____ 

Each number I put for each space is the number of possibilities for that space:

2 (A or M)       10 (0 - 9)       10 (0 - 9)      10 (0 - 9)     10 (0 - 9)     10 (0 - 9)

_________    _________    ________   _________   ________    ________
 

So, this is:

2 * 10 * 10 * 10 * 10 * 10 = 2 * 10 ^ 5 = 200000

this method is very similar to the previous questions you have asked. why is that so? if you bothered to read by previous answers (step by step) and not just the number, you could have done this yourself.

:)

First, we need to "rationalize" the denominator, but instead of square roots, we use 8i.

-1 - 4i / 8i (8i / 8i)

This is:

-1 - 4i / 8i (8i / 8i) = -1 - 4i ( 8i ) / 8i ( 8i) = - 1 - 4i ( 8i ) / - 8 = - 8i + 32 / - 8 = -8i / -8 + 32 / -8 = -4 + i

Now you should very well know what a and b are.

:)