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vredina [299]
3 years ago
9

What is the sum of the arithmetic series 18 sigma t=1 (5t-4)

Mathematics
1 answer:
Aliun [14]3 years ago
5 0
\bf \sum\limits_{t=1}^{18}~5t-4\implies \sum\limits_{t=1}^{18}~5t~~-~~\sum\limits_{t=1}^{18}~4\implies 5\sum\limits_{t=1}^{18}~t~~-~~\sum\limits_{t=1}^{18}~4
\\\\\\
5\left[\cfrac{18(18+1)}{2}  \right]~~-~~(18\cdot 4)\implies 5(171)~~-~~72
\\\\\\
855-72\implies 783
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Done-fourth of a<br> race is one-eighth<br> of a mile long.<br> How long is the<br> entire race?
Veseljchak [2.6K]

Answer:

I believe the answer would be '1/2 a mile long'.

Step-by-step explanation:

Apologies if it's wrong that's just the answer i got when i did it in my head.

8 0
3 years ago
Solve.<br> {y= 2x – 6<br> {4x – 2y = 14<br> Use the substitution method
Colt1911 [192]

Answer:

No Solution

Step-by-step explanation:

5 0
3 years ago
Christopher measured in line to be 7.2 inches long if the actual length of the line is 7.1 inches then what is the percent error
e-lub [12.9K]

Answer:

The percent error in his measurement was 1.41%

Step-by-step explanation:

In order to compute the percentage error we first need to know the absolute error of his measurement. This error is given by what Christopher measured sutracted by the actual length, wich is:

absolute error = 7.2 - 7.1 = 0.1 inches

To know this value in percentage we need to know how many percentage 0.1 inches is from 7.1 inches. So we can use a rule of three such as 7.1 inches relates to 100% as 0.1 inches relates to x%. We have:

7.1 inches -> 100%

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x = (100*0.1)/7.1 = 1.41 %

The percent error in his measurement was 1.41%

4 0
4 years ago
Read 2 more answers
What is an equation of the line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ?
Elza [17]

Answer:

y=-2x-3

Step-by-step explanation:

Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b.  Therefore:

-x+2y=4\\2y=x+4\\\\y=\frac{x+4}{2}\\\\y=\frac{1}{2}x+2

Therefore, our slope is 1/2 and our y-intercept is 2.  Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning \frac{1}{2}=-2 (negative reciprocal).  Now we must use the point slope formula:

y=m(x-x_1)+y_1

Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:

y=-2(x-(-2))+1\\\\y=-2(x+2)+1\\\\y=-2x-4+1\\\\y=-2x-3

Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.


6 0
3 years ago
Solve by factoring <br><br> <img src="https://tex.z-dn.net/?f=x%5E%7B4%7D%2Bx%5E%7B3%7D-6x%5E%7B2%7D" id="TexFormula1" title="x^
barxatty [35]
Think the answer is...

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