A fire has started in a dry, open field and is burning in a circular area with an initial radius of 3 feet. The radius
of the fire is increasing at a rate of 2 ft/min. es
The area of a circle is given by the formula:
A = ar
Define a function, g, which relates the size of the radius (r), measured in centimeters, in terms of the number
of seconds (t) since the radius of the fire began increasing.

answer choices:

g(r)= 2r+3
g(r) 3r+2
g(t)= 2t+3
g(t) = 3t+2

  g(t) = 2t+3

Step-by-step explanation:

You want a definition of g(t) so you can write the equation ...

  r = g(t) . . . . . . radius is a function of time

We are told the radius at t=0 is 3, so the third choice is the obvious one:

  g(t) = 2t +3 . . . . . radius t seconds after the radius began increasing

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560