All Answers 358203 Answers

sqrt(2018)+sqrt(2016 = 89.8220435317197012

sqrt(2019)+sqrt(2015) = 89.8220352522488239

sqrt(2020)+sqrt(2014) = 89.8220214531222153      Which is biggest ?

Bravo, thelizzybeth!!! Your method is very good, and your answer is a 100% correct!!! 

yes ive tried doing it but its wrong

Have you tried anything at the very least? and what counting and probability topic is this?

Latex is enabled, but you can't just simply copy and paste the latex here to show up. You have to press the latex button when typing a response and then enter your latex.

well its incorrect

4   is ONE    ( counting up to 1024)   maybe the ONLY one?

x

x^2

x^2 +10

x^2 + 10 -3 = x^2 + 7

+7       7^2 = 49      sqrt 49 = 7        This is kinda silly.....

Sorry, I got it backwards !! Thanks EP.

I assume 12, 13 and 15.9 are the sides of the triangle. If that is the case, then the angles are found using the Law of Cosines:

Acute scalene triangle.

Sides: a = 12   b = 13   c = 15.9

Area: T = 76.535
Perimeter: p = 40.9
Semiperimeter: s = 20.45

Angle ∠ A = α = 47.777° = 47°46'39″ = 0.834 rad
Angle ∠ B = β = 53.346° = 53°20'44″ = 0.931 rad
Angle ∠ C = γ = 78.877° = 78°52'37″ = 1.377 rad

I found the following 3 solutions:

x          y          z

1          3         8

1          4         5

2         2         4

So, z =8 + 5 + 4 = 17

5 x 45 = 225   (sum would be 5175)

(amazing is correct...I assumed she started with '5')

.4 (75) + x(25) = .5 (100)

x = .8    or 80%

How does the 2^(x^2) term mean that the equation is 3rd order?

Isn't it a 3rd order equation because of: 2^x^2 term? if that is the case, then there are only the 3 solutions you found.

I think this site needs latex to be enabled.

You can't copy latex since it won't show.

Ok, thanks

Thank you so much!!

For the community: Please don't submit solutions to this problem. This is a homework problem for an online course that does not allow students to search for answers to specific problems outside of the school.

For the original poster: We realize that homework can be challenging. If you wish to receive help from the staff or other students, we encourage you to use the resources that the online classes provide. Please don't ask or search online for homework help. We understand that it's common in today's information age to look for resources online, and in some contexts, that's a great thing! However, it's against our Honor Code. You can ask for help on the message boards, and you can learn from the official solution after you submit your answer.

\(a-\frac{1}{a}=\frac{5}{6}\)

Multiply a on both sides:

\(a^2-\frac{5}{6}a-1=0\)

Using the quadratic formula, (\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)) you get two roots. One is positive, one is negative. Use the positive one because a > 0.

That root is \(\boxed{\frac{13}{6}}\)

Sorry, I don't have an answer for you. This short computer code found it in millisecond!

a=1;c=a^3 +100; if(c%(a+10)==0, goto3, goto4);printc,a; a++;if(a<10000, goto1, 0)

OUTPUT: n = 890

For the community: Please don't submit solutions to this problem. This is a homework problem for an online course that does not allow students to search for answers to specific problems outside of the school.

For the original poster: We realize that homework can be challenging. If you wish to receive help from the staff or other students, we encourage you to use the resources that the online classes provide. Please don't ask or search online for homework help. We understand that it's common in today's information age to look for resources online, and in some contexts, that's a great thing! However, it's against our Honor Code. You can ask for help on the message boards, and you can learn from the official solution after you submit your answer.

a=1;p=0; b=1;c=3*a + 5*b; if(c==1008, goto5, goto7);p=p+1;printp,"-",a, b; a++;if(a<500, goto3, 0);a=1;b++;if(b<500, goto3, discard=0;

n     x           y

1 - 331         3
2 - 326        6
3 - 321        9
4 - 316        12
5 - 311        15
6 - 306      18
7 - 301       21
8 - 296      24
9 - 291      27
10 - 286    30
11 - 281    33
12 - 276    36
13 - 271    39
14 - 266    42
15 - 261    45
16 - 256   48
17 - 251    51
18 - 246   54
19 - 241   57
20 - 236  60
21 - 231   63
22 - 226  66
23 - 221  69
24 - 216  72
25 - 211  75
26 - 206 78
27 - 201  81
28 - 196  84
29 - 191  87
30 - 186  90
31 - 181  93
32 - 176  96
33 - 171  99
34 - 166  102
35 - 161  105
36 - 156 108
37 - 151  111
38 - 146  114
39 - 141  117
40 - 136  120
41 - 131  123
42 - 126  126
43 - 121  129
44 - 116  132
45 - 111  135
46 - 106 138
47 - 101 141
48 - 96  144
49 - 91  147
50 - 86  150
51 - 81  153
52 - 76  156
53 - 71  159
54 - 66  162
55 - 61  165
56 - 56  168
57 - 51  171
58 - 46  174
59 - 41  177
60 - 36  180
61 - 31  183
62 - 26  186
63 - 21  189
64 - 16  192
65 - 11  195
66 - 6  198
67 - 1   201

You left out the numbers!