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Iteru [2.4K]
3 years ago
13

13 points! Please do not use up an answer if you don't know it! I REALLY need help!

Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0
1// 3
2// -1
3// -2
4// 2
5// 6
6// 145
7// -28
8// -4544
9// -9
I am pretty sure these are all right I'd just double check them
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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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T models the temperature (in degrees Celsius) in New York City when it's t hours after midnight on a given day. Match each state
Klio2033 [76]

Answer:

Please check explanation

Step-by-step explanation:

Here, we want to do a matching.

We shall be matching the given statements with the features we have on the graph

Hence we shall be looking closely at the graph to answer the questions.

The y-intercept is the point at which the graph touches the y-axis

And it was at -3 degrees celsius at the beginning of the day.

The temperature was above zero between 8am and 8pm. The matching statement is that it is increasing or decreasing interval

We can see that the graph rose from 8am before it finally comes to zero at 8pm

Positive or negative interval matches with it was getting warmer between 2am and 2pm.

While temperature was lowest at 2am, we can see a peak at 2pm.

8 0
3 years ago
(temperature) answer answer answer answer answer answer answer answer answer answer answer
Bond [772]

Answer:

100

Step-by-step explanation:

8 0
3 years ago
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I need help with finding interior/exterior angles. solve for “?”
Ivenika [448]

Answer:

3. 160

4. 105

5. 95

6. 30

7. 86

8. 130

All triangles equal 180 so when you add the other 2 degrees in the triangle then subtract that by 180 then you get the third angle. The a straight line also equals 180 degrees so when you get the third angle subtract it by 180 then you get the answer to the "?"

That's how I was taught so, hope I got it all right! : )

8 0
3 years ago
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Find the product.<br> (a2)(2a3)(a2 – 8a + 9)
eimsori [14]
Answer: -72a^3 +108a^2
Collect like terms
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= -72a^3 +108a^2
3 0
3 years ago
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