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uranmaximum [27]
3 years ago
6

A particular bacterial colony doubles its population every 15 hours. A scientist running an experiment is starting with 100

Mathematics
2 answers:
BigorU [14]3 years ago
8 0

Answer:

24 hours

24 hours is the solution to 300=10(2)^t/15

masya89 [10]3 years ago
7 0

Answer:

d

Step-by-step explanation:

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The endpoints of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the Pentagon?
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the assumption being that the endpoints are two continuous points in the pentagon, Check picture below.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[2-(-1)]^2+[3-4]^2}\implies d=\sqrt{(2+1)^2+(3-4)^2} \\\\\\ d=\sqrt{9+1}\implies d=\sqrt{10}~\hfill \stackrel{\stackrel{~\hfill \stackrel{\textit{5 sides}}{}}{\textit{perimeter of the pentagon}}}{5\sqrt{10}}

4 0
2 years ago
Verify identity list steps. Cot(t)(1-cos^2(t))=cos(t)sin(t)
storchak [24]
Remember: We have to work from either the LHS or the RHS.
(Left hand side or the Right hand side)

You should already know this:

\huge{Cot(t) = \frac{1}{tan(t)} = \frac{1}{\frac{sin(t)}{cos(t)}} = 1\div \frac{sin(t)}{cos(t)} = 1\times \frac{cos(t)}{sin(t)}=\boxed{\frac{cos(t)}{sin(t)}}


You should also know this:

sin^2(t) + cos^2(t) = 1\\\\\boxed{sin^2(t)} = 1 - cos^2(t)

So plugging in both of those into our identity, we get:

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Simplify the denominator on the LHS (Left Hand Side)

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LHS = RHS

Therefore, identity is verified.
4 0
3 years ago
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