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Korvikt [17]
2 years ago
12

All six printing machines together can print 222 pages in a minute how many pages can each machine print per hour

Mathematics
1 answer:
Furkat [3]2 years ago
4 0
The answer should be 13,320
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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

plug that in, to get P for 2004
3 0
3 years ago
Do these measurements create a triangle? true or false?
Alborosie

Answer:

Question 9: False

Question 10: False

Step-by-step explanation:

The third side is always greater than the other two sides.

<u>Question 9</u>

a = 6, b = 6, c = 5

Since the third side is the smallest, it would not create a triangle.

<u>Question 10</u>

a = 7, b = 2, c = 5

Since the third side is the smallest, it would not create a triangle.

4 0
3 years ago
Read 2 more answers
In the figure, AngleRQS Is-congruent-to AngleQLK. 3 lines are shown. Lines S P and K N are parallel. Line R M intersects line S
stepan [7]

Answer:

x=108

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠RQS≅m∠QLK -----> by corresponding angles

m∠KLM+m∠QLK=180° -----> by supplementary angles (consecutive interior angles)

we have that

m∠RQS=x° ----> given problem

so

m∠QLX=x°

m∠KLM=(x-36)° ----> given problem

substitute

(x-36)\°+x\°=180\°\\2x=180+36\\2x=216\\x=108

3 0
3 years ago
Read 2 more answers
2008, the price of a gallon of unleaded gasoline was $4.02. In 1990, it was only $1.37 per gallon. What is the increase expresse
kupik [55]

Answer:

p

Step-by-step explanation:

p

5 0
2 years ago
One bus leaves a stop every 9minutes. A second bus leaves the stop every 15 minutes. If they both leave at 1:25 P.M., AT what ti
jasenka [17]
1:40 because 25 plus 15 equals 40 and if it went over 60 it would 2:00 so the answer is 1:40
8 0
2 years ago
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