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mina [271]
3 years ago
7

Find all the powers of 3 that are in the range 3 through 1,000.

Mathematics
2 answers:
Roman55 [17]3 years ago
8 0
3 to the first is 3
3 to the second is 9
3 to the third is 27
3 to the fourth is 81
3 to the fifth is 243
3 to the sixth is 729
AlekseyPX3 years ago
7 0
3 9 27 81 243 729 are all the powers of 3 that are in the range 3 through 1,000
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8 0
3 years ago
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
Read 2 more answers
Pls help me i need help
Llana [10]

Answer:

3x was subtracted from the left side, but 3x was subtracted from the right side. The Subtract Property of Equality states that you can subtract the same number from each side and the equation will remain true. But 3x and 3 are not the same number (unless x is 1).

x = -8/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • (7x+3x)+(21)=5
  • 10x + 21 = 5

Step 2: Subtract 12 from both sides.

  • 10x + 21 - 21 = 5 - 21
  • 10x = -16

Step 3: Divide both sides by 10.

  • \frac{10x}{10} = \frac{-16}{10}
  • x = -\frac{8}{5}
8 0
2 years ago
Read 2 more answers
What is the difference between 12/8 and 3/4?
Katen [24]

Answer:

3/4

Step-by-step explanation:

Difference means subtraction

12/8 - 3/4

We need a common denominator of 8

12/8 - 3/4 * 2/2

12/8  - 6/8

 6/8

Divide by 2 in the numerator and denominator

 3/4

6 0
3 years ago
Read 2 more answers
Please help me with these questions????​
Softa [21]
5: THEO = what should happen
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3 0
2 years ago
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