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could you please show me the steps so I understand how to solve. Thanks

Also, I didn't know how to make this post off-topic, so yeah.

Hey Guest. I just wanted to clarify some possible misconceptions you might have about this forum. Most importantly, the main goal of this forum is not to do people's work for them but to help them with any problems or struggles they might have with certain questions. We would love to help you with problems that you need help understanding, but we cannot do all the work for you. And we definitely do not want to be responsible for your grades on your assignments. Using this forum as a free pass out of homework isn't fair to the contributors that work hard answering your problems and it is not fair to yourself as well. School isn't just about passing grades, it's about learning and grasping the concepts. By posting the problems here without attempting them yourself isn't helping you learn anything about what was taught in class. Just to end this on a positive note, we have plenty of contributors who are glad to help you any time of the day; just remember that we do not do your work for you. Hopefully, this all made sense to you.

All the best,

BasicMaths

Hi Guest!

I'm really bad at explaining, so bare with me here. 

It's always good to have an image so next time, try to find a picture. :))

But, once the ant walks to an adjacent vertice of A, there are 4 paths for the ant to take, one of the paths lead to the vertex B. 

So 1/4 is our answer. :))

=^._.^=

The number of 0s are the number of 10s in the factor. 

This is also the number of 2 and 5s. 

But because there are always gonna be more 2s than 5s, we just need to count the number of 5s. 

For example in 10!, there are 2 fives. One 5 from 5 and one 5 from 10.

So 10! has 2 zeros. 

Try counting the number of 5s.

Good luck. :)))

If you need more help, just ask.

=^._.^=

Congrats on graduating!

(Everyone here is very helpful)

Helping others is not only good for them and a good thing to do, but it also makes us happier and healthier too.

Giving also connects us to others, creating stronger communities and helping to build a happier society for everyone. And it's not all about money - we can also give our time, ideas and energy.

I am very glad CPhill helped you. 

All answerers will appreciate this thank you.

It is nice to be reminded that we are not always talking to brick walls. 

I hope you do well with all your future endeavors!     

Good job ChowMein...! 

Here is another way to do it: 

\(101^2 - 97^2 + 93^2 - 89^2\)

\(=10201-97^2+93^2-89^2\)

\(=10201-9409+93^2-89^2\)

\(=10201-9409+8649-89^2\)

\(=10201-9409+8649-7921\)

\(=1520\)

(ChowMien's way was much easier though)

its wrong

\(6t-\frac{2}{3}+\frac{t}{5}=\frac{8+\left(2-t\right)}{3}\)

\(6t\cdot \:15-\frac{2}{3}\cdot \:15+\frac{t}{5}\cdot \:15=\frac{8+2-t}{3}\cdot \:15\)

\(93t-10=5\left(-t+10\right)\)

\(93t-10=-5t+50\)

\(93t-10+10=-5t+50+10\)

\(93t=-5t+60\)

\(93t+5t=-5t+60+5t\)

\(98t=60\)

\(\frac{98t}{98}=\frac{60}{98}\)

\(t=\frac{30}{49}\)

10 000 (1+ .06/4)²⁰ = $              

Hi Joe,

You do not seem to have any of the necessary pre-learning

Here is the first graph.

The line is dotted, which means it is not included in the region so the inequality sign cannot have an equal in it.  So now you are down to 2 possibilities.

A   Which are those?

Forget about the inequality sign for a moment, think of them as equal signs.  

B  Now rearrange each of those two possibilities into the from   y=mx+b     where m is a number (the gradient) and b is a number (the y intercept)

C  Does the line on the graph have a positive or a negative slope?

D  It appears to cross the x axis at -1.5    and the  y axis at 2   so what is the gradient?   

E  What is the equation of the line?

F  Which is the only inequation that could be correct?  

G  The point (0,0) is in the region, so test it on the inequality you decided upon and sut it in to see if it makes the inequality true.

You did not need to do every one of these steps to get the right answer.  But you do need to be able to do every one of these steps to answer all the questions on this knowledge base.

Now if you are truly interested in learning, and not just getting answers, then you will respond to each one of my questions, A to G.

Please do not make any new question posts today.  You can ask questions on/about the posts that you have made though.

OK! Thank you!

Oh please excuse me. I missed the headline.

  !

Oh that explanation was good thanks guest_1!

See https://web2.0calc.com/questions/help-i-forgot-this-is-due-today

I'm trying to factor it, it would be great if you could help!

including the original expression there are 4  different values possible.

Factoring Questions

1. 72n^2 + 570n + 875

2. 300p^2 - 595p + 294

Hello Guest!

1.

\(72n^2 + 570n + 875=0\)

\(n = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

\(n =\dfrac{-570 \pm \sqrt{570^2-4\cdot 72\cdot 875}}{2\cdot 72}\)

\(n =\dfrac{-570 \pm 270}{2\cdot 72}\)

\(n\in\{2.08\overline 3,-5.8\overline 3\}\)

\(72n^2 + 570n + 875=(n+5.8\overline 3)(n-2.08\overline 3)\)

2.

\( 300p^2 - 595p + 294=0\)

\(p = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

\(p =\dfrac{595 \pm \sqrt{595^2-4\cdot 300\cdot 294}}{2\cdot 300}\)

\(p =\dfrac{595 \pm 35}{2\cdot 300}\)

\(p\in\{1.05,0.9\overline 3\}\)

\(300p^2 - 595p + 294=(p-1.05)(p-0.9\overline 3)\)

  !

Height when it hits Mars is = 0

0 = -6t^2 - 5t + 56        Use Quadratic Formula to find  t = 2  2/3 sec    (throw out the negative 't' value ....even on Mars)

242 base 5 =     2 x 25  + 4 x 5   + 2 x 1 = 72   per hour     72 x 3.5 = 252 dollars

PLUS   367 base 8 = 64 x 3   +  6 x 8  + 7 = 247

247 + 252 =  $                  

Multiply through by -1  and re-arrange to get

3y^2 + 18y       - 6x^2-12x   =   -8        complete the square for x and y

3 (y^2 + 6y)      - 6 (x^2 +2x)  = - 8

3 ( y+3)^2        - 6 (x+1)^2     = - 8 + 27 - 6   = 13

(y+3)^2  / 1/3    -  (x+1)^2 / 1/6      = 13     divide through by 13

(y+3)² / (13/3)   -   (x+1)² / (13/6 )   =   1       you can divde the denominators to get

(y+3)² / (4.33)   - (x+1)² / 2.1666    = 1                 if you need a square in the denominator

(y+3)²  / (2.0817)²    -     (x+1)² / (1.472)²   =1