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Zigmanuir [339]
2 years ago
9

PLEASE HELP What is the area of the trapezoid?

Mathematics
2 answers:
Hitman42 [59]2 years ago
7 0

Answer:

Step-by-step explanation:

\text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$}

a and b are the length of the parallel sides.

a = 8 + 4 + 4 = 16 in

b = 8 in

h = height  = 6 in

Area = \dfrac{(8+16)*6}{2}\\\\\\=\dfrac{24*6}{2}\\\\=24*3\\\\= 72 \ in^{2}

jekas [21]2 years ago
3 0
36

Step by step explanation:




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A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
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Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

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The equation is A=6000e^{-0.23t}


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