divisors of 144
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 196
1, 2, 4, 7, 14, 28, 49, 98, 196 count them ......
Yah....I asked one of the moderators of the universe to 'unblock' it.....check back shortly ... ~ EP
Or maybe try looking at it here :
https://web2.0calc.com/api/ssl-img-proxy?src=%2Fimg%2Fupload%2F9c093edc85458cf627a73b8e%2Flots.jpg
roots x = - 7 and -1 looks like this:
f(x) = (x+7)(x+1)
= x^2 +8x + 7 =0
I cannot see the picture.
Could you fix the latex please?
=^._.^=
Just to make sure we are talking about the same thing:
when you get this picture, click on the red circle.....
if you are still on the file folder with the + that you opened in an attempt earlier , you'll have to back up....or start over to get the picture you originally posted below:
thank you so much!! this helped a lot, as well as the extra example.
Here's the shortcut :
25*24*23* .....* 2 * 1 = 25!
Divide 25 / 5 and discard any remainders = 5
Divide 25 / 5^2 and discard any remainders = 25 / 25 = 1
Add the whole numbers = 5 + 1 = 6 trailing zeroes
Another example
300!
300 / 5 = 60
300/5^2 = 300/ 25 = 12
300/5^3 = 300/125 = 2 + 50/125
Add the whole numbers = 60 + 12 + 2 = 72 trailing zeroes
sine(x)*tan(x)-cos(x)
_______________ = sine(x) + cos (x) # I'm using that line as division cause it's easier to visualize I think
tan(x) - 1
sine(x)*sine(x)/cos(x)-cos(x)
_______________
sine(x)/cos(x) - 1
sine^2(x)-cos^2(x)/cos(x)
(sine(x)-cos(x))/cos(x)
sine^2(x)-cos^2(x)
sine(x)-cos(x)
sine(x) = a
cos(x) = b
(a^2-b^2)/(a-b) = a + b
So our answer simplifies to sine(x) + cos(x)
Last time I tried your problem, Melody taught me this cool triangle trick that I would suggest you to go see, if you haven't yet. :))
Quite useful.
cos Q = QP / QR .....so....
.4 = 10 / QR
QR = 10 / .4 = 25 cm
Thank you so much!
1. Graph the function f(x) = -sec(x/4)+3 on the interval [-2pi,6pi]
The " -" flips the normal secant graph over the x axis
The (x/4) lengthens the normal period by a factor of 4
The " +3 " shifts everything up by 3 units
Here's the normal graph and the transformed graph on [-2pi, 6pi]
https://www.desmos.com/calculator/ptwct2d3ec
Very thoughtful post, guest! 2&3 looks good to me but I do not know what sec is.
Clay's dinosaur footprint is 3 times longer than Patrick's dinosaur footprint. It takes 18 paperclips to measure Clay's dinosaur footprint. How many fewer paperclips would it take to measure Patrick's dinosaur footprint?
C = Clays Dinosaur
P = Patricks Dinosaur
We have c = 3p (1)
We also have c = 18 (2)
(1) = (2) => 3p = 18
p = 6 (3)
|(2)-(3)| = |18-6|=12 fewer
Haley paid $24 for a toy and a radio. The radio costs 3 times as much as the toy. What is the price difference between the two items?
Let r = radio
Let t = toy
We have r+t=24 (1)
We also have r = 3t (2)
(2) into (1) => 4t = 24
t=6 (3)
(3) into (2) => r = 18 (4)
|(4)-(3)| = |18-6| = 12 dollars
Sadly it didn't work here is the link on the bottom
https://drive.google.com/file/d/19MdwKeWK2mske2J4j44PZgXOxB9pcj0O/view?usp=drivesdk
Did that work? Sorry....my answer kept getting cut off so I had to edit it several times .......
Oh ok
Click on the what?
x = toy price
3x = radio price
x + 3x = $ 24
x = 6
toy = 6 radio = 18 difference = $ 12
OK...I just tried this on my ipad.....
on the screen that you uploaded click on the Browse at the upper left then you can choose On My iPad
(BTW iPad IS a computer...just not an Android or PC)
It adds an untitled folder and does nothing
What happens when you click the folder with the + sign on it.....just to the right of where it says iCloud Drive at the top?
Used wolfram for the last part :P.
cis(pi/8) = sqrt(2 + sqrt(2))/2 + 1/2 i sqrt(2 - sqrt(2))
cis(pi/3) = -1/2 + (i sqrt(3))/2
3 \sqrt{3 * sqrt(2 + sqrt(2))/2 + 1/2 i sqrt(2 - sqrt(2))} * 3 \sqrt{5 * (-1/2 + (i sqrt(3))/2)} = 9 sqrt(5 (-1/2 + (i sqrt(3))/2)) sqrt((3 sqrt(2 + sqrt(2)))/2 + 1/2 i sqrt(2 - sqrt(2)))
$\sum_{n=1}^{33} \frac{1}{(3n-2)(3n+1)} = \frac{33}{100}$ because it has an asymptote that gets really close to $33.\overline{3}.$
