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Mathematics

2 answers:

Alona [7]1 year ago

8 0

Answer:

Step-by-step explanation:

You would plot it at -4.5 and +5

Westkost [7]1 year ago

3 0

Answer:

5 and -4.5

Step-by-step explanation:

Since the / is a division sign, 10/2 divides to 5. -9/2 divides to -4.5.

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What is the 6th term of the geometric sequence where a1 = -4096 and a4 = 64?

Akimi4 [234]

$\bf \begin{array}{llccll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_1&-4096\\
a_2&-4096r\\
a_3&-4096rr\\
a_4&-4096rrr\\
&-4096r^3\\
&64
\end{array}\implies -4096r^3=64
\\\\\\
r^3=\cfrac{64}{-4096}\implies r^3=-\cfrac{1}{64}\implies r=\sqrt[3]{-\cfrac{1}{64}}
\\\\\\
r=\cfrac{\sqrt[3]{-1}}{\sqrt[3]{64}}\implies \boxed{r=\cfrac{-1}{4}}\\\\
-------------------------------$

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-\frac{1}{4}\\
a_1=-4096\\
n=6
\end{cases}
\\\\\\
a_6=-4096\left( -\frac{1}{4} \right)^{6-1}\implies a_6=-4^6\left( -\frac{1}{4} \right)^5$

4 0

3 years ago

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Write 1 16 as a decimal. A) 0.00625 B) 0.0625 C) 0.625 D) 6.25

xenn [34]

Answer:

b) 0.0625

Step-by-step explanation:

3 0

3 years ago

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PLEASE PLEASE HELP WILL MARK BRAINLIEST!!

oksian1 [2.3K]

The equivalent expression to given expression is 1/3.

<h3>What is Equivalent Expression?</h3>

Equivalent expressions are defined as algebraic expressions which give the same resulting expression. An algebraic expression (or) a variable expression is defined as a combination of terms by the operations such as addition, subtraction, multiplication, division.

Here, given expression

$\sqrt{2/x^2} X \sqrt{x^2/18}$