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Softa [21]
2 years ago
7

state the coordinate of the image of the given point B (-10, -6) under a dilation with a center at the orgin with the given scal

e factor k = 1/2​
Mathematics
1 answer:
JulijaS [17]2 years ago
5 0

Answer:

何

Step-by-step explanation:

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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
For a class trip, there are two adults for every 15 students. There are 238 people (adults and students) on the trip. How many s
-Dominant- [34]

Answer:

210

Step-by-step explanation:

x = num of adults

x + 7.5x = 238

8.5x = 238

x = 28

#students = 238-x

                 = 210

8 0
2 years ago
I require help with this problem
Leno4ka [110]
X =13 because it’s a 45-45-90 triangle and the sides take the 13square root of 2 and take the 2 out and you get 13. Sorry for the weird explanation, hope you understood.
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2 years ago
sharon earns $25 per item that she sells plus a base salary of $150 per week. write and solve an inequality to find how many ite
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She has to sell 24 items
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3 years ago
Plz help me so I can give u points and I get the answer thx
zalisa [80]

y=-3x+4

y2-y1 divided by x2-x1 equals the slope. Then graph the line with the given points and the slope for the y-intercept.

5 0
3 years ago
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