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Molodets [167]
2 years ago
11

Which choice shows 14 •(8 . 2) correctly rewritten using the associative property and then correctly simplified?

Mathematics
1 answer:
slamgirl [31]2 years ago
3 0

Step-by-step explanation:

=14×(8×2)

=14(16)

=224

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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
3 years ago
Divide z by 11. Then, add 8.
yulyashka [42]
This may be the answer,hope it helps

8 0
3 years ago
SOMEONE PLEASE HELP!<br>Set up an inequality showing that the radicand cannot be negative.
Stolb23 [73]

Answer:

3t-9 >= 0

Step-by-step explanation:

Original function f(t)= square root 3t-9

There cannot be a negative in the radicand therefore 3t-9 cannot equal a negative number.  

6 0
3 years ago
Read 2 more answers
First person to give answer with work will get brainliest!!
Ket [755]
All you will have to do is put this inside of a graph and then see if it goes through the origin.
4 0
3 years ago
Many has 48 feet of wood he wants to use all of it to create a border around a garden. The equation 2l+2w=48 can be used to find
lord [1]
2L + 2W = 48 

L= 15 feet

substitute the given value to the formula provided.

2(15) + 2W = 48

multiply 2 by 15

30 + 2W = 48

use the subtraction property of equality to cancel the value 30 on the left side. 

30 - 30 + 2W = 48 - 30

cancel 30 on the left side leaving 2W while subtract 30 from 48.

2W = 18

divide both sides to get the value of the width.

2W/2 = 18/2

W = 9ft     this is the final answer.

5 0
3 years ago
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