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813   would work

0.125

omg thank you!!!

Find the distance from Robert (4,3) to EACH of the other points using the distance formula

distance =  sqrt ((x1-x2)^2 + (y1-y2)^2 )

let x1, y1   be Robert   (4,3)       and      x2, y2     be    Lucy  (6,1)

   then distance = sqrt (( 4-6)^2   +  (3-1)^2 ) =  

                             sqrt ( 4 + 4) = sqrt 8

    Now let x2 y2    be Liz ( 1,7)  

distance = sqrt ( ( 4-1)^2 + (3-7)^2 )

              = sqrt  (9 + 16)   = sqrt 25  

Now which is farther from Robert? 

I see right off that it's the same as 1/8 ... in decimal form that's 0.125 

_.

3/24  =  1/8  =  0,125

The inner function:  g(x)  =  1 - x²

The outer function:  f(x)  =  x¹¹

The radius of the cylinder will be 8, 

So the lateral surface area of the cylinder will be:  pi · 8² · 12  =  768 pi

I'm assuming by c you mean the circumference, and d is the diameter.

The circumference of any circle is the diameter times pi.

Here, I'll write pi as 3.14 because if I was to write it out it would take forever (quite literally).

C = D * 3.14

7.85 m = D * 3.14

D = 7.85 / 3.14 = 2.5 m

The diameter was 2.5 m :D

If two similar three-dimensional objects have corresponding areas of 16 ft² and 36 ft², 

their corresponding sides will be in the ratio as the square roots of these numbers:  4 ft and 6 ft

and their volumes will be in the ratio as the cubes of the sides:  64 ft³ and 216 ft³.

So, the smaller prism will have a volume of  (4 ft)³  =  64 ft³.

The height of the smaller prism is found by this formula:  V  =  (Area of Base) x (height)

                                                                                    64 ft³  =  16 ft² x height     --->     height  =  4 ft

The lateral area of the larger prism, which is a square 6 ft on each side, is 6 x 36 ft²  =  216 ft²

It is not clear the way you have written! Is it: 6n / [(5n + 1) * n] or: [6n / (5n + 1)] * n ???

Hmm, what is 2*8/(45+17)*4?

Let's go with PEMDAS, and this says we should do the things inside the parentheses first.

So, we do (45 + 17) = 62

And we get:

2*8 / 62 * 4

Now, theres a lot of multiplication and division first. Just because M comes before D in PEMDAS doesn't mean we should do only the multiplication first, then the division! In situations like these, where we just have some multiplication and division and/or addition and subtraction, we go left to right.

2 times 8 is 16, so it's 16 / 62 * 4

16/62 * 4 is 64/62, which simplifies to 32/31.

So, 2*8/(45+17)*4 is 32/31. :D

Here the common difference is positive, so we know that we're adding 5.

The first thirty terms would be -22, -17, -12, -7, etc. until the 30th term.

The formula for calculating the first n terms, initial term is a₁

Sn = n(a₁ + a_n)/2 = n[2a₁ + (n - 1)d]/2

From this, we get 1515 :)

If one of the roots is 4, the quadratic could have (x - 4) as a factor.

If it does, the other factor would have to be (4x + 6), giving an equation of (x - 4)(4x + 6)  =  0

Multiplying this out:  4x² - 10x - 24  =  0.

The third one makes the bars seem pretty equal when in reality they aren't.

Using a linear regression model, the r² value is 0.851.

The third one

Let the time of the faster one be "t"

then the time of the slower one is "t + 20".

Equation:                                                          [1/t] + [1/(t + 20)]  =  1/24

Multiplying through by  24(t)(t + 20)     --->     [24(t + 20)] + [24t]  =  [t(t + 20)]

                                                                            24t + 480 + 24t  =  t² + 20t

                                                                                t² - 28t - 480  =  0

                                                                              (t - 40)(t + 12)  =  0

         t = 40 minutes

t + 20  =  60 minutes