Answer:

Step-by-step explanation:
we know that
The equation of a exponential growth is equal to

where
a is the initial value
r is the rate of growth
x is the time in hours
y is the value of the quantity
we have

substitute


For x=22 hours
substitute

The answers will be:
- (4, 5)
- remain constant and increase
- g(x) exceeds the value of f(x)
<h3>What is Slope and curve?</h3>
a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).
b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).
c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:
f(8) = 4·8 +3 = 35
g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35
g(8) > f(8)
d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).
To know more about Slope follow
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<h3>
Answer: 5/51</h3>
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Explanation:
We have 6 green out of 6+6+6 = 18 total
The probability of getting green is 6/18 = 1/3.
After selecting that green jelly bean and not putting it back, we have 6-1 = 5 green out of 18-1 = 17 total.
The probability of selecting another green is 5/17.
Multiply the two fractions 1/3 and 5/17
(1/3)*(5/17) = (1*5)/(3*17) = 5/51
The probability of selecting two greens in a row is 5/51 where we do not put the first selection back. We also do not replace the green jelly bean with some other identical copy.
Note: 5/51 = 0.098039 approximately