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dusya [7]
2 years ago
7

Write the times of four trains as 12 hr. clock a. 14:32 b. 16:30 c. 06:45 d. 10:29

Mathematics
1 answer:
romanna [79]2 years ago
6 0

Answer:

a 2:32

b 4:30

c 6:45

d 10:29

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High of the following transformations does not result in a congruent figure
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Copy an angle is the best solution with compass and straight edge.

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A country's population in 1994 was 182 million. In 2002 it was 186 million. Estimate the population in 2004 using the exponentia
iogann1982 [59]
\bf =ae^{kt}\qquad 
\begin{cases}
1994\impliedby \textit{year 0, starting point}\\
t=0\qquad P=182
\end{cases}\implies 182=ae^{k0}
\\\\\\
182=a\cdot e^0\implies 182=a\cdot 1\implies 182=a
\\\\\\
thus\qquad P=182e^{kt}\\\\
-------------------------------\\\\

\bf P=182e^{kt}\qquad 
\begin{cases}
2002\impliedby \textit{8 years later}\\
t=8\qquad P=186
\end{cases}\implies 186=182e^{k8}
\\\\\\
\cfrac{186}{182}=e^{8k}\implies ln\left( \frac{93}{91} \right)=ln(e^{8k})\implies ln\left( \frac{93}{91} \right)=8k
\\\\\\
\cfrac{ln\left( \frac{93}{91} \right)}{8}=k\implies 0.0027\approx k\implies \boxed{P=182e^{0.0027t}}

what's the population in 2004?  well,  from 1994 to 2004 is 10 years later, so t = 10

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3 0
3 years ago
Factor:<br><br><br>(m+2)^2−(m+2)+mn·(n+2)+2n(n+2)
bazaltina [42]
ANSWER
{(m + 2)}( {n}^{2} + 2n + m + 1)

EXPLANATION

The given expression is

{(m + 2)}^{2} - (m + 2) + mn(n + 2) + 2n(n + 2)

We factor to get,

= {(m + 2)}(m + 2 - 1) +n (n + 2) (m+ 2)

This implies that,

= {(m + 2)}(m + 1) +n (n + 2) (m+ 2)

We factor further to obtain,

= {(m + 2)}((m + 1) +n (n + 2))

or

= {(m + 2)}( {n}^{2} + 2n + m + 1)
5 0
3 years ago
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