Solution
1) Simplify

<span> to </span>


<span>−2= </span>

+

2) Simplify

+

<span>to <span>914</span>
</span>

<span>−2= </span>

3) <span>Add 2 to both sides
</span>

=

<span>+2
</span>
4) Simplify

<span><span>+2</span> to </span>


=

5) <span>Multiply both sides by 7
</span><span>4y= </span>

<span>×7
</span>
6) Simplify

<span><span>×7</span> to </span>


=

7) Simplify

<span> to </span>


=

8) <span>Divide both sides by 4
</span>y=

<span>×4
</span>
9) <span>Simplify <span>2×4</span> to 8
</span><span>y=</span>

<span><span>
Hope this helps
</span></span>
Answer:

Step-by-step explanation:
we know that
If the triangle of the figure is a regular polygon
then
Is an equilateral triangle
Remember that
The equilateral triangle has three equal sides and three equal interior angles
The measure of each interior angle is 60 degrees
To find the area of the equilateral triangle apply the law of sines

we have that

substitute

Answer:
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From the calculation, the growth rate is 0.88.
<h3>What is the growth rate?</h3>
To find the relative growth rate
P1 = Poe^rt
P2 = Poe^rt
Thus;
1920 = Poe^4r ------ (1)
1966080 =Poe^12r -------(2)
P2/P1 gives;
1966080/1920 = Poe^12r/Poe^4r
1024 = e^12r/e^4r
1024 =e^8r
1024 = (e^r)^8
2^10 = (e^r)^8
e^r = 2^1.25
e^r = 2.38
r = ln(2.38)
r = 0.88
The initial size of the culture is;
1920 = Poe^(0.88 * 4)
Po = 1920/e^(0.88 * 4)
Po = 57
The expression for the exact number of bacteria after t hours is
P(t) = 57e^0.08t
The growth (in bacteria per hour) after 9.5 hours is
P(t) = 57e^(0.88 * 9.5)
P(t) = 243544
For the number to reach 72,000;
72,000 = 57e^0.88t
72,000/57 = e^0.88t
ln 126 = ln[e^0.88t]
4.8 = 0.88t
t = 4.8/0.88
t = 5.5 hours
Learn more about exponential growth;brainly.com/question/13674608
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