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Your question does not make sense!. 1 mole of blueberries???? Do you mean Avogadro's constant=6.02 x 10^23???.

No.! They are total mystery!!!!!!!.

Diameter =Circumference / Pi

u=d*pi

d=u/pi

r=u/2pi

8x-4x+5y-15y =4x-10y  That is it.

20x?=226,000 divide both sides by 20

x =226,000 / 20

x =11,300

Circumference =Diameter x Pi=Radius x 2 x Pi.

Find the force of gravity between Earth (mass = 6.0×1024kg) and the Moon (mass = 7.4×1022kg). The average Earth-Moon distance is 3.8×108m.

F=GmM/r^2

F=[6.67 x 10^-11 x 6 x 10^24 x 7.4 x 10^22] / [3.8 x 10^8]^2

F=205,088,642,659,279,778,393.35 Newtons

F=2.05 x 10^20 Newtons-This is the force of gravity between surface-to-surface. If you want the force between center-to-center, then you have to add the radii of the Earth and the Moon to the distance between them and re-calculate the force.

if f(x)=x^2/(1+x), find f "(1)

1.0 - 0.86 =0.14

Perimeter=Circumference

Circumference =Area/Pi

Guest #1 I think your very last expression should be -cosecx/tanx   (because -sinx^-2*cosx → -cosx/sinx^2 → -(cosx/sinx)/sinx → -1/(tanx*sinx) → -cosecx/tanx)

As follows:

I'll leave you to find the value of f``(1).

.

derivative of   y=1-secx/tanx            We have    sec x  = 1/cos x and tan x = sin x / cos x

so  sec x/tan x    =  (1/cosx)/(tanx) = (1/cosx)   X   ( cosx/sinx)   =  1/sinx

then y= 1-1/sinx

dy/dx  = 0  - d/dx(-1/sinx)   = d/dx(  (sinx)^(-1) ).  Now use Chain Rule

d/dx ( (sinx)^(-1) )    = (-sinx)^(-2)   X     cosx

= (-cosx)/(sinx)(sinx)= -tanx cosecx.

By becoming one of the finest math teachers the world has ever seen, i.e. someone who understands the student's problems that you are facing right now :)

Which is easier to write?   

\(0. \overline{012345679} \text {... or } \dfrac{1}{81}\)

Here are some un-even numbers that don't need a fraction to present them.

3,5,7,9 . . .  101,103 . . .  1001,1003

if you like decimal only numbers then use irrational numbers. The decimal continues forever . . . . . . . . . . . . . . . and ever . . . . . . . . . .

Example Pie   8.5397342226735671... 

(Yes, "pie" not Pi just type it into the calc and you'll see).

13/16 + 19/25 = 629/400 = 1.5725 Is there a different way to find this?

Sure! Just use a calculator!

0.8125  +  .7600 =1.5725

https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8#q=possibility+of+getting+2+on+a+6+sided+dice              All you had to do was look it up.

No, it would be equal to 10.

If you were trying to type "Is 0.999999999 repeating equal to 1," then yes, it is equal to 1.

There is a proof that can help you understand why it is so on wikipedia: (https://en.wikipedia.org/wiki/0.999...#Digit_manipulation)

You don't actually have to use fractions. You can use decimals all the time if you want, it is probably just what your math teacher prefers, and he/she may have a point. I personally find it easier to comprehend 3/17 rather than 0.1764705882352941.

I also find it easier to mulitply 3/17 by 5/17 rather than multiply 0.1764705882352941 by 0.2941176470588235 whether you're doing it by hand or via calculator.

In the end, both fractions and decimals have their strengths and weaknesses as representations of values, so try to use whichever one makes the problem easier (unless your teacher expects otherwise).