3 years ago

The problem -2x=9 equals the answer x=-4.5...is that correct or incorrect?

Mathematics

1 answer:

erastovalidia [21]3 years ago

5 0

$-2x=9|:(-2)\\
x=-4.5
$

Yes.

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A pendulum swings 80 cm on its first swing, 76 cm on its second swing, 72.2 cm on its third swing, and 68.59 cm on its fourth sw

Kisachek [45]

Answer:

$a_{n} = 80*(0.95)^{n-1}$

Step-by-step explanation:

Geometric sequences:

The nth term of a geometric sequence is given by the following equation.

$a_{n+1} = ra_{n}$

In which r is the common ratio.

This can be expanded for the nth term in the following way:

$a_{n} = a_{1}r^{n-1}$

In which $a_{1}$ is the first term.

In this question:

$a_{1} = 80, r = \frac{68.59}{72.2} = \frac{72.2}{76} = \frac{76}{80} = 0.95$

a. If the pattern continues, what explicit formula can be used find the distance of the nth swing?

$a_{n} = a_{1}r^{n-1}$

$a_{n} = 80*(0.95)^{n-1}$

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3 years ago

Which shows the expression below simplified? 0.000085 - (4.1 × 10-6) A. 8.09 × 10-5 B. 8.09 × 10-6 C. 4.4 × 10-5 D. 4.099915 × 1

rjkz [21]

Answer:

A. 8.09 × 10^-5

Step-by-step explanation:

4.1 x 10^-6 = 0.0000041

0.000085 - 0.0000041 = 0.0000809

0.0000809 = 8.09 x 10^-5

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