What is 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2 in exponential form?

Mathematics

2 answers:

Lubov Fominskaja [6]3 years ago

5 0

Answer:

$2^9$

Step-by-step explanation:

Since there are nine 2s being multiplied by each other, we can represent this as $2^9$ .

allsm [11]3 years ago

4 0

Answer:

2^9

Step-by-step explanation:

there are 9 2's and since it has to be in exponential form its 2^9

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Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total r

Masja [62]

Answer:

about 26 min

Step-by-step explanation:

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point

First we find the average speed

We add both speed and divide it by 2

$\frac{4.5+5.5}{2} = 5$

Now we find the distance for round trip

given total time is 48 mins. convert mins into hours

48 mins = 48 divide by 60 = 0.8

average speed = 5 km/hr

Distance = speed * time = 5 * 0.8 = 4 km

distance covered both ways = 4 km

so 4 divide by 2 = 2 km each way

To find time taken for upstream = distance of each way / speed of upstream

time = $\frac{2}{4.5} = 0.44 hours$

Now convert hours into minutes

0.44* 60= 26.4 minutes

3 0

3 years ago

Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4

Roman55 [17]

$\bf \cfrac{1}{2}~~,~~\stackrel{2\cdot \frac{1}{2}}{1}~~,~~\stackrel{2\cdot 1}{2}~~,~~\stackrel{2\cdot 2}{4}~~,...$

so as you can see the common ratio is 2, and the first term is 1/2,

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}$