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mr_godi [17]
3 years ago
13

I really don’t understand these similar triangles pleas help

Mathematics
1 answer:
alexira [117]3 years ago
7 0

Answer:A

Step-by-step explanation:

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The half-life of cesium-137 is 30 years. Suppose we have a
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(a) If y(t) is the mass (in mg) remaining after t years, then y(t) = y(0) e^{kt}=100e^{kt}.

y(30) = 100 e^{30k} = \frac{1}{2}(100) \implies e^{30k} = \frac{1}{2} \implies k = -(\ln 2) /30 \implies \\ \\
y(t) = 100e^{-(\ln 2)t/30} = 100 \cdot 2^{-t/30}

(b) y(100) = 100 \cdot 2^{-100/30} \approx \text{9.92 mg}

(c)
100 e^{- (\ln 2)t/30} = 1\ \implies\ -(\ln 2) t / 30 = \ln \frac{1}{100}\ \implies\ \\ \\
t = -30 \frac{\ln 0.01}{\ln 2} \approx \text{199.3 years}
 
3 0
3 years ago
Answer asap please and rhanks
Amanda [17]
X is 9 Y is 3 and Z is 12
4 0
3 years ago
Read 2 more answers
Which system of equations has the same solutions as the system below? `3x-y=7` `2x+3y=12`
LiRa [457]

Answer:

the system : 9x-3y =21

                   2x+3y = 12

Step-by-step explanation:

hello :

an system of equations has the same solutions as the system below

 the  system  3x-y=7

                     2x+3y=12

for exempl  :  3×(3x-y)=3×7

                     2x+3y)=12

means :

9x-3y =21

2x+3y = 12

6 0
3 years ago
Two triangles are similar. The corresponding sides have a ratio of 2:5. If the larger triangle has a side length of 55 centimete
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B (22cm)

2:5
55/5 = 11
11 * 2 = 22
8 0
3 years ago
Find the sixth term of the geometric sequence<br> 9, 18, 36, ...
timama [110]

Answer:

This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as

\begin{gathered}a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288\end{gathered}an=arn−1, where a=initial term, r=common ratio, n=term numberan=9(2n−1)a6=9(25)a6=288

6 0
3 years ago
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