<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.
The graph illustrated is divided into three seperate sections namely <em>A, B and C,</em> the short story culled from the graph is described thus:
Rate of change or slope = (Rise/ Run)
- <em>Rise = y2 - y1 </em>
- <em>Run = x2 - x1 </em>
<u>SECTION A:</u><u> </u>
Slope = (40 - 0) ÷ (20 - 0) = 40/20 = 2
Distance traveled = 50 meters
<u>SECTION B</u> :
This section gives an horizontal line, hence, the slope is 0.
Distance covered = 0 ; as there was no change in the distance over the period of time.
<u>SECTION</u><u> </u><u>C</u><u>:</u>
Slope = (80 - 50) ÷ (70 - 60) = 30/10 = 3
The total distance traveled = 80 - 50 = 30 meters
<u>The total </u><u>distance</u><u> </u><u>and</u><u> </u><u>time spent traveling</u> :
Total distance traveled = (50 + 30) = 80 meters
Total time spent = 70 seconds (<em>time at the 80 meter mark</em>)
Hence, the story.
Learn more : brainly.com/question/25309609
1 is the closest to 0 on the number line. Hope this helps!!!!!!!!
Answer:
192000 J
Step-by-step explanation:
k = 1/2 mv²
48000 = 1/2 x m x (20)²
48000 = 200m
m = 240 kg
new k
k = 1/2 x 240 x 40²
k = 192000 J
Equation: L=P*R*T
P=100
R=1.5%=0.015
T=5
Multiply and you get 7.5 as the interest.
