A jar contained 18 red marbles, 14 green marbles, and 20 blue marbles. A marble was selected at random, the color was recorded,
1 answer:
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Answer:
(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)
Ok, we have a rectangle of length x by r.
At the extremes of length r, we add two semicircles.
So the perimeter will be equal to:
Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).
The radius of the semicircles is r, and the perimeter of a circle is:
C = 2*pi*r
where pi = 3.14
Then the perimeter of the track is:
P = 2*x + 2*pi*r.
b) now we want to solve this for x, this means isolating x in one side of the equation.
P - 2*pi*r = 2*x
P/2 - pi*r = x.
c) now we have:
P = 660ft
r = 50ft
then we can replace the values and find x.
x = 660ft/2 - 3.14*50ft = 173ft
A
this is a geometric sequence since there exists a common ratio r between the terms
r = =
=
= 3
B
to obtain the next term in the sequence multiply the previous term by 3
= 3
← recursive rule
C
the n th term of a geometric sequence is
=
where is the first term in the sequence
= 7 ×
← explicit rule
See attached graph.
The y-intercept is (0, 1), since the line is at that point when it intersects with the y-axis.
The common ratio is 1/4, since the y value multiplies by 1/4 for each unit on the x-axis.
The y-intercept is (0, 1), since the line is at that point when it intersects with the y-axis.
The common ratio is 1/4, since the y value multiplies by 1/4 for each unit on the x-axis.