3 years ago

If 3x+2 = 15 what is X?

Mathematics

1 answer:

insens350 [35]3 years ago

5 0

3x+2=15
15-2 = 13

3x=13

Divid

Then X should give you
4.3333333333 ...

Then round

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How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160

Marina CMI [18]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}$

$\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^4=3^n\implies 4=n$

3 0

2 years ago

Can anyone help me please??? Almost done Thank you!!

Hitman42 [59]

Answer:

you might’ve already answered this but it’s 65

Step-by-step explanation:

the two sides in a triangle have to be congruent so if one angle is 65, the other has to be 65 too :)

4 0

3 years ago

Read 2 more answers

I need help anyone ?? please