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gtnhenbr [62]
3 years ago
6

Anna started reading at 4:00 pm and finished at 4:20 pm. How many degrees did the minute hand turn?

Mathematics
1 answer:
klasskru [66]3 years ago
3 0
The minute hand moved 315 degrees.
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In the geometric progression 1, 2, 4… what term is 512?
Levart [38]

The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

for n\ge1.

If 512 is the k-th term in the sequence, then

512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10

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2 years ago
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Answer:

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Step-by-step explanation:

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-14           -14

--------------------------------

2x = 20

/2     /2

--------------------------------

x = 10

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