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2πr

what is the smallest number with 13 factors?

Mmm, it does not say prime factors

1,2,3,4,6,8,9,12,16,18,24,27,32     that 13

2^5* 3^3 = 864

I think 864 has 13 factors but it might not be the smallest.

1,2,3,4,5,6,8,9,10,12,15,16, 18

1*2*2*2*2 * 3*3* 5 =  16*9*5 = 720

I think that 720 has 13 factors 

How about

1,2,4,8,16,32,64,128,256,......2^12

2^12 = 4096

Mmm

Ok I am guessing at 720   :)

Can you find a smaller number with 13 factors?

why you gotta rant about it this is a math forum.... just sayin 

Hi Quazw...

What is (2x⁴y⁻³)⁻¹?

This is the easiest way.

1) write it as a fraction

\(\frac{(2x^4y^{-3})^{-1}}{1}\)

2)  Anything that is raised to a negative number gets swapped to the other side of the fraction line and the negaive becomes positive.

[NOTE: negative numbers (coefficients) are NOT negative indices but there are no negative numbers here so I don't need to worry.]

\(=\frac{1}{1*(2x^4y^{-3})^{+1}} \qquad \mbox{There was nothing left on the top so I put a 1 there!}\\~\\ =\frac{1}{2x^4y^{-3}} \\~\\ =\frac{y^{+3}}{2x^4} \\~\\ =\frac{y^{3}}{2x^4} \\~\\ \)

Another method:

How long did it take him to swim across the river 500m

500m/2000km/hr= 1/4 hr = 15 mins

So for 15 mins he was being taken downstream at 2.9km/hr

2.9 km/hr x 1/4 hr = .725km = 725 meters downstream

~jc

Hayley, you have made a drop of water into the Rio Grande!

what is 33/5 * -5

\(\frac{33}{\not{5}}\times \frac{-\not{5}}{1}\\ =-33\)

Solve for z:
-cos(3 z) = 0

Multiply both sides by -1:
cos(3 z) = 0

Take the inverse cosine of both sides:
3 z = pi/2+pi n  for  n element Z

Divide both sides by 3:
Answer: | z = pi/6+(pi n)/3  for  n element Z

Yep, I liked it too :))

Way to play Hayley  !!

~jc

2016

12 is the answer

LMAO, thats is a xda developer questionary for faster to posting post for newbie..

check this out:

https://docs.google.com/forms/d/1Ceuiah05UepkT5aBKJArAN8CMBCtoxj0SScq1Eyn5v8/viewform

Hi Mistress Katie-Leigh,

1.05 of what number is 4.221?

'of' is times and let the unknown number by Q

1.05 of Q = 4.221

1.05 x Q = 4.221

1.05Q = 4.221

Now just divide BOTH sides by 1.05 to get Q on its own     :)

Area of shaded area  is ( (x+4) -1 )  *  x    sq m

      x^2 + 3x  sq m

I might add that it is a NEGATIVE percentage change/year....

Though *this* is a message, I have no need to send messages....this is a math forum, not Facebook/twitter/snapchat ....nor is it a popularity contest or a 'score' contest.....    Just sayin'....

For 4 :

    4-2  ^2    = 4

    3-2  ^2     =1

    2-2  ^2     =0

    1-2   ^2    =1

                  _____

                     6

The general "formula"  for the nth term is :

(n + 2)^2     for n >= 1

At 20C the speed of sound is 343 m/s     Mach 3 is THREE times this or 3 (343)

5000km x 1000m/km  /  343(3) ==  4859 seconds = 80.985 minutes

The rule of this pattern is "The Perfect Squares", I believe.

Using

Vf  = Vi  -9.8t       where Vi  is the initial velocity  [ = 0]   and Vf is the final velocity = -112m/s

So we have

-112 = -9.8t         divide both sides by -9.8

-112 / -9.8   = t  ≈  11.429 s

whats the pattern rule of: 9, 16, 25, 36, 49, 64, 81, 100...............................etc.

                                         3^2, 4^2, 5^2, 6^2, 7^2, 8^2, 9^2, 10^2.............. etc.

Yo creo que es 

\(157.5\)

The number of crimes that occurred in a certain city per 1000 people had decreased from 46.646.6 in 1920 to 45.245.2 in 19901990. Find the average rate of change in the number of crimes per 1000 people that occurred from 1920 to 19901990. I am wondering how i would find the rate of change for this problem.

1 - [45.2452 / 46.6466] X 100=3% decrease in crimes over 70 years

1.03^(1/70)=1.00042235 - 1 =.00042235 X 100 =.042235% Average rate of change per year.

Just multiply   .14 x 80