If a point is randomly selected within the larger circle, the chance that it also lies within the smaller circle is 0.25. Step-by-step explanation: i) The area of the smaller circle is calculated as
=
. ii) The area of the larger circle is given by 
. iii) The likelihood that a randomly selected point from the larger circle also resides in the smaller circle is expressed as 
.
Response:
470.12??? not certain!!!!
Step-by-step explanation:
Let x = time in weeks.
Let y = length of Rip van Winkle's beard, measured in mm
At the beginning, his beard was 888 mm long, thus
when x = 0, y = 888.
Each week, y increases by 222 mm.
Hence
y = 222x + 888
This represents a linear equation with
slope = 222,
y-intercept = 888
At x = 1, y = 222 + 888 = 1110 mm
To plot the straight line, select two points:
(0, 888) from the y-intercept
(1, 1110)
The straight line graph is illustrated below. The two points are depicted on the line.
What recursive formula applies to generate the following sequence where f(1) = 3 and n ≥ 1?
3, –6, 12, –24, 48
The applicable recursive formula for this sequence is
f(n + 1) = –2 f(n)
When n=1, f(n) equals 3
Now when n = 2
f(2) = -2 (3) = -6
When n = 3
f(3) = -2 (-6) = 12, and this pattern continues.
According to the stated conditions, the quantity of bacteria at any time t (in hours) can be determined using the following equation,
at = (a1)(2^t/2)
where a1 denotes the initial bacteria count and at represents the count at time t. By using the provided numbers,
a6 = (103)(2^6/2) = 824
Consequently, there are 824 bacteria present after 6 hours.
