<h3>Answer: Approximately 191 bees</h3>
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Work Shown:
One way to express exponential form is to use
y = a*b^x
where 'a' is the initial value and 'b' is linked to the growth rate.
Since we're told 34 bees are there initially, we know a = 34.
Then after 4 days, we have 48 bees. So we can say,
y = a*b^x
y = 34*b^x
48 = 34*b^4
48/34 = b^4
24/17 = b^4
b^4 = 24/17
b = (24/17)^(1/4)
b = 1.090035
Which is approximate.
The function updates to
y = a*b^x
y = 34*(1.090035)^x
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As a way to check to see if we have the right function, plug in x = 0 and we find:
y = 34*(1.090035)^x
y = 34*(1.090035)^0
y = 34*(1)
y = 34
So there are 34 bees on day 0, ie the starting day.
Plug in x = 4
y = 34*(1.090035)^x
y = 34*(1.090035)^4
y = 34*1.4117629
y = 47.9999386
Due to rounding error we don't land on 48 exactly, but we can round to this value.
We see that after 4 days, there are 48 bees.
So we confirmed the correct exponential function.
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At this point we can find out how many bees there are expected to be after 20 days.
Plug in x = 20 to get
y = 34*(1.090035)^x
y = 34*(1.090035)^20
y = 190.672374978452
Round to the nearest whole number to get 191.
There are expected to be roughly 191 bees on day 20.
Answer:
4/75
Step-by-step explanation:
We have two sample spaces
1.Lottery balls
2. Month of the year
For lottery balls the sample space is S= 50
Multiples of 3 between 1 and 50 are
(3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48)= 16 in numbers
Hence the probability of choosing a multiple of 3
Pr(multiple of 3) = 16/50= 8/25
Also the sample space for months of the year is S= 12
Two months starts with letter m, March and may
Pr(of months with m) = 2/12= 1/6
the probability of choosing a multiple of 3 and a month starting with the letter M= 8/25*1/6= 8/150= 4/75
A 8p = 48.80
Since Susan paid for 8 dish towels, p. Then the 8 dish towels = $48.80
Answer:
Step-by-step explanation:
(6x+1)4 = 124
6x+1 = 31
x = 5
