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sp2606 [1]
3 years ago
5

Please help in the question it should be if t=-6 when r =-2 its an error

Mathematics
1 answer:
Natasha2012 [34]3 years ago
7 0

Answer:

r = - \frac{12}{7}

Step-by-step explanation:

Given that r varies inversely as t , then the equation relating them is

r = \frac{k}{t} ← k is the constant of variation

To find k use the condition t = - 6 when r = - 2, then

- 2 = \frac{k}{-6} ( multiply both sides by - 6 )

12 = k, thus

r = \frac{12}{t} ← equation of variation

when t = - 7, then

r = \frac{12}{-7} = - \frac{12}{7}

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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
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Thanks has a piece of rope that is 6 2/3 feet long how do you write 6 2/3 of a fraction greater than 1
icang [17]

Answer: 20/3

Step-by-step explanation: 3*6=18+2=20

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Answer:

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Step-by-step explanation:

we know that

The surface area of a sphere is equal to

SA=4\pi r^{2}

we have

r=14\ units

substitute

SA=4\pi (14)^{2}

SA=784\pi\ units^{2}

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dalvyx [7]

Answer:

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charle [14.2K]

Answer:

$2.30

Step-by-step explanation:

Multiply 23 by .10 to get 2.3

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