geno3141

If you have 3 points on a circle and connect them in all possible ways, you will have no internal points of intersection.

If you have 4 points, then you get 1 internal point of intersection = ₄C₀.

If you have 5 points, then you get 5 internal points of intersection = ₅C₁.

If you have 6 points, then you get 15 internal points of intersection = ₆C₂.

If you have 7 points, then you get 35 internal points of intersection = ₇C₃.

Etc. 

Can you take it from here?

If you want a circle with the center at (0,0) and a radius of r, use:  x² + y² = r².

For instance, a cricle with its center at the origin and a radius of 5:  x² + y² = 5²  or  x² + y² = 25.

If you don't want the center at (0,0) then use the formula (x - h)² + (y - k)² = r²  where the center is (h, k).

For instance, a circle with its center at (4, -3) and radius = 7:  (x - 4)² + (y - -3)² = 7² or:

(x - 4)² + (y + 3)² = 49.

You said that they move at the rate of 1000 revolutions -- if you mean that they revolve at the rate of 1000 revolutions per minute, then in 1 minute they travel 1000 x 8.4 feet or 8400 feet (approximately).

Then, in an hour they would travel 8400 x 60 feet ...

This is a probability problem that uses combinations:

Formula:  _nC_r·p^r·(1-p)^n-r  =  ₂₀C₁·(.15)¹·(.85)¹⁹

Use the formula:  A = P(1 - r)^t

where A = final amount; P = beginning amount = 34000; r = rate = 0.15; t = time = 5:

     A  =  34000(1 - 0.15)⁵

Now, it's calculator time!

Folding a parabola on the line of symmetry will have one wing of the parabola lying exactly upon the other wing of the parabols.

The slope of this line is 1/5.

The slope of a line perpendicular to this has a negative reciprocal slope:  slope = -5.

Now, you know the slope of the new line and a point that it passes through, so use the slope-intercept form:

     y - y₁  =  m(x - x₁)   where m = -5, x₁ = 9, and y₁ = 5.

Substitute and simplify.

Use the formula:  A = P(1 + r)^t   --->   A  =  800(1 + 0.05)⁷

  Calculator time!

If there can be only one computer connect to one peripheral graphics device (leaving 4 graphics devices unconnected) then:  

the first computer can be connected to 23 devices;

the second computer can be connected to 22 devices;

the third computer can be connected to 21 devices;

etc;

the nineteenth computer can be connected to 5 devices;

so 23 x 22 x 21 x ... x 5  or 23! / 4!

If you want to find the inverse of a cmmon log, use the 10^x key.

If you want to find the inverse of a natural log, use the e^x key.