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Juliette [100K]
3 years ago
9

An arithmetic series is represented by the equation (picture). Which of the following is true?

Mathematics
2 answers:
vladimir1956 [14]3 years ago
5 0

Answer:

C

Step-by-step explanation:

In arithmetic series

\sum \limits _{k=1}^{24}(-6+0.5k)

we have

a_1=-6+0.5\cdot 1=-5.5\\ \\a_{24}=-6+0.5\cdot 24=-6+12=6\\ \\S_{24}=\dfrac{a_1+a_{24}}{2}\cdot 24=\dfrac{-5.5+6}{2}\cdot 24=0.5\cdot 12=6

Thus, the value of the series is equal to the value of the 24th number in the series.

Oxana [17]3 years ago
4 0

Answer:

The answer is C on Edge2020

Step-by-step explanation:

:)

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Kazeer [188]

Answer:

Huan receives 3.33 pounds (£) every week

Step-by-step explanation:

We can calculate this by dividing the amount for 5 weeks and dividing by 5 to find the amount of pocket money for each week. 16.65/5 = 3.33, which means that he receives 3.33 pounds (£) every week for pocket money.

8 0
3 years ago
Read 2 more answers
Am I correct? Please show your work so I can compare it to my work. Thank you!
Viefleur [7K]

Answer:

200

Step-by-step explanation:

C = 0.007x² − 2.8x + 100

There are two ways we can find the minimum.  The first is by noticing that this is an upwards parabola, so the minimum is at the vertex.  For y = ax² + bx + c, the vertex is at x = -b/(2a).

x = -(-2.8) / (2 × 0.007)

x = 200

Alternatively, we can minimize C using calculus.  Take the derivative with respect to x and set to 0:

dC/dt = 0.014x − 2.8

0 = 0.014x −  2.8

x = 200

4 0
3 years ago
4. What is the slope of the line that passes<br> through the points (-6, -30) and (12, 24)?
andriy [413]
Slope: (y2-y1)/(x2-x1)
(24-(-30))/(12-(-6)) = (24+30)/(12+6)
(54)/(18) = 3
The slope is 3
5 0
3 years ago
What fraction of the large square is shaded? Show your work
LiRa [457]

Answer:

1/3

Step-by-step explanation:

7 0
3 years ago
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$8.50 yoga mat; 75% markup
Alenkinab [10]
The answer is:
14.875
Hope this helps
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