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elixir [45]
3 years ago
14

Patrick counts on to solve 9+?=16 Explain how he can do this. What is the missing addend? Enter your answers in the boxes. Patri

ck could begin at ? and then count on until he gets to ? Since he counted on ? numbers,the missing addend is ?​
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0

Answer:

7

Step-by-step explanation:

9+7=16

Hope this helps

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A ball is dropped from a height of 30 feet and each time it hits the ground it bounces 0.75 of the previous height. What is the
QveST [7]
If the ball is "starting" at 30 feet, then to get how high it went the bounce, we simply multiply 0.75 times 30, and to get the next bounce's height, is again (30*0.75)0.75, and so on.

so... the 0.75 or 3/4 is our "multiplier" to get the next term's value, or our "common ratio".  So is just a geometric sequence, if the first term is 30, the common ratio is 0.75, what's the 4th term?  Because the first bounce happens after the 30 feet, at the 2nd term, thus the 4th term is the 3rd bounce.

\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=30\\
r=0.75\\
n=4
\end{cases}
\\\\\\
a_4=30\cdot (0.75)^{4-1}\implies a_4=30(0.75)^3


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