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DerKrebs [107]
3 years ago
7

Can I get some help please?

Mathematics
2 answers:
IrinaK [193]3 years ago
5 0

Answer: A

Step-by-step explanation:

A linear function is described as:

https://tex.z-dn.net/?f=f(x)%20%3D%20ax%20%2B%20b

When the value of x = 0, then you're left with

https://tex.z-dn.net/?f=f(x)%20%3D%20b

In this question, the speed of sound is the linear function while the temperature is the independent variable. When T = 0, you're left with

https://tex.z-dn.net/?f=S(0)%20%3D%20331.4

Which means the speed of sound in air when temperature is 0°C is 331.4m/s.

kicyunya [14]3 years ago
3 0
The answer is A you are welcome
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(-7,-19) (0,3)

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Find the length of the missing side of necessary round to the nearest tenth
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Find the sum of the first 20 terms of the arithmetic sequence 4, -4, -12, -20​
Vsevolod [243]

Answer:

The sum of the first 20 terms is -1440.

Step-by-step explanation:

We want to find the sum of the first 20 terms of the arithmetic sequence:

4, -4, -12, -20...

The sum of an arithmetic sequence is given by:

\displaystyle S=\frac{k}{2}(a+x_k)

Where <em>k</em> is the number of terms, <em>a</em> is the initial term, and <em>x</em>_<em>k</em> is the last term.

Since we want to find the sum of the first 20 terms, <em>k</em> = 20.

Our initial term <em>a</em> is 4.

Our last term is also the 20th term as we want the sum of the first 20 terms.

To find the 20th term, we can write an explicit formula for our sequence. The explicit formula for an arithmetic sequence is given by:

x_n=a+d(n-1)

Where <em>a</em> is the initial term, <em>d</em> is the common difference, and <em>n</em> is the <em>n</em>th term.

Our initial term is 4. From the sequence, we can see that our common difference is -8 since each subsequent term is eight less than the previous term. Therefore:

x_n=4-8(n-1)

Then the last or 20th term is:

x_{20}=4-8(20-1)=4-8(19)=-148

Therefore, the sum of the first 20 terms are:

\displaystyle\begin{aligned} S_{20}&=\frac{(20)}{2}\left((4)+(-148))\\&=10(-144) \\&= -1440\end{aligned}

5 0
2 years ago
Read 2 more answers
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Blababa [14]
Jamal and Steve finished the same amount of homework because 5/6 is the same as 10/12
7 0
3 years ago
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