All Answers 358269 Answers

will do :)

Oh my goodness I for got to put the decimal point...*sorry* now I see what you mean.

Thanks EP,

I will check your answer Jenny.

I think this is your question. It is hard to read.

\(f(x)=\frac{8}{1+3e^{-0.7x}}\\ f(-1)=\frac{8}{1+3e^{0.7}}\\\)

8/(1+3*e^0.7) = 1.1361605924567683 = 1.14   (to 2 decimal places or 3 significant figures)

So Congratulations Jenny, you got it right :)

Thank you so much! :) I have one more question, please check it out if you're able to.

Thanks Cupcake.

If you make a good impression, which you already have with me, people will bend over backwards to help you here.  

Ah well, I'm actually practically new to this site, wasn't actually aware that I could reply to someone's answer, now I know I can. I will definitely keep that in mind. :) 

Yes that looks excellent   

I believe the all the answers that apply are: csc θ = 17/15, tan θ =15/8, sec θ = 17/8 

I've just looked at your history Cupcake. I can see that you are in the excellent habit of giving your answerers a thumbs up. 

People also like a little written thanks, and better still they like you to ask questions if you do not completely understand. 

In this case you can ask me if you have the correct 3rd side.   

Hi Cupcake,

How about I tell you HOW to do it  

1) Draw a right angled triangle.

2) Put theta in one of the acute angles.

3) mark the three sides as Opp, adj and hypotenuse.    Do you know how to do that?

4) You know that     \(sin \theta = \frac{15}{17}\)    and that     \(sin\theta = \frac{opp}{hyp}\)

so

opp =15    and    hyp = 17

put those numbers on your triangle.

5)   Use the pythagorean theorum to find the 3rd side.

6) Now look at each of those ratios in turn and see which ones is correct. 

Do it a quickly as you can and I will stay around for a little while so you can ask question if you get stuck.

\(ln(x-1)+ln(x+2)=1\\ ln[(x-1)(x+2)]=1\\ e^{ln[(x-1)(x+2)]}=e^1\\ x^2+x-2=e\\ x^2+x-(2+e)=0\\\)

\(x^2+x-(2+e)=0\\ x=\frac{-1\pm\sqrt{1+4(2+e)}}{2}\\ x=\frac{-1\pm\sqrt{1+8+4e}}{2}\\ x=\frac{-1\pm\sqrt{9+4e}}{2}\\ \)

Those are not equal or rational solutions.

Thank you so much!!!

Help me asap

would it be 1.14 ?

I am aware of that but how would I go forth in solving the whole equation ?

Just put in  -1    for x   and calculate the value....   Got it?

Just use your keyboard to type in the  '  !  '

Here is one scenario that seems to work:
Divisors of 24 =(1, 2, 3, 4, 6, 8, 12, 24) =8 divisors.
proper product =(1, 2, 3, 4, 6, 8, 12)=13,824. Notice that I did not include 24 itself.
24^3 =13,824=24^(8*1 + 10) / 6, where:
x=8, a =1, b=10 and c=6.
GCD{1, 6, 10} = 1
a + b + c =1 + 10 + 6 = 17
Note: Also it seems to work for 60:

Divisors of 60 =(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60) = 12

Proper product( (1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30) =777,600,000. Notice again I did include 60 itself.

60^5 =777,600,000 =60^(12*1 + 13) / 5, where:

x =12, a = 1, b = 13, and c =5

GCD, or GCF[1, 5, 13] = 1

a + b + c =1 + 13 + 5 = 19.

P.S. I believe there are infinite solutions to your question.

Each statement except for the second one is true

Yeppers. 

ah ok I see it now, thank you gentlemen

Imagine it is like a spring      stretch it .....coils further apart ...less humps  

                                              COMPRESS IT....coils closer together...more humps

Look at the graphs here, L2R  : https://www.desmos.com/calculator/eowgcnrrnu

Note that the second graph is a horizontally compressed version of the first

thanks mate

This has been answered before:

Amplitude    Max   8.3 ft    min  0.4       means amplitude = 7.9/2 = 3.95    check

Shited up to midline 4.35      check

Period = 24    2pi/24 = 1/12   pi      check

sine wave

Looks good to me  

really? I was asuming that it was getting stretched because I saw more humps...compressed usually means less humps?