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3 years ago

Find the 12th term of the geometric sequence 8, 16, 32, ...

Mathematics

1 answer:

OLEGan [10]3 years ago

8 0

Answer:

Step-by-step explanation:

\[a_{n}=a{1}r^{n-1}\]

r=16/8=2

a_{12}=8(2)^{12-1}

$a_{12}=8(2)^{11}=16384$

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8.45 At some point in the season, the Unicorns had won 60% of their basketball games. After that point, they won 8 more games an

ololo11 [35]

Answer:

The total number of games won by Unicorn is 40.

Step-by-step explanation:

We are given with a word problem
We are asked to find the number of unicorns played during the season
We can do this in two steps

Step 1: Finding the win percentage

Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is $\frac{60}{100} \times(x-10)$

Combining the 8 games we get,

$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$

Step 2 of 2

The unicorn totally won 65% of the games played.

That is $\frac{65}{100} \times x=0.65 x$

Equating both the equation gives

$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$

5 0

2 years ago

How many thirds are in 3 2/3

Serga [27]

3= 3 thirds + 3 thirds + 3 thirds = 9 thirds
2/3 = 2 thirds

9 + 2 = 11 thirds. (11/3)

5 0

3 years ago

I don’t know how to solve this please help I’ll give you 60 points

goldfiish [28.3K]

Answer:

x=58

FDE=61

Step-by-step explanation:

Since FDA and ADC are supplementary angles, their angle measures add up to 180 degrees. You can therefore write down the following equation:

2x+3+x+3=180

3x=174

x=58 degrees

FDE=ADC= x+3=61 degrees. Hope this helps!

7 0

3 years ago

Read 2 more answers

There are 5 green balls, 2 orange balls, 4 purple balls, and 1 pink ball in a bucket. You pick 1 ball from

bagirrra123 [75]

B
The purple balls constitute 1/3 of the amount of balls there, so you’re that likely to pluck one out.

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3 years ago

Marco has a balance of -$19 in his checking account. He makes a trip to the bank to deposit $368. The next day he purchases a ne

Tomtit [17]

Answer:

His new balance would be $302

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3 years ago