3 years ago

Can someone help me with my math homework please please please

Mathematics

1 answer:

german3 years ago

7 0

Answer:

Step-by-step explanation:

Put the numbers where the corresponding letters are, and do the arithmetic.

3² +3·8 +2 -2·5

= 9 +24 +2 -10

= 25

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vampirchik [111]

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2 years ago

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3 years ago

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

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

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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

Convert to exponential form: log 1000=3

Luden [163]

$\log_a b=c \hbox{ if } a^c=b \\ \\
\log 1000=3 \\
\log_{10} 1000=3 \\
\Downarrow \\
\boxed{10^3=1000}
$

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2 years ago