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Umnica [9.8K]
3 years ago
8

An arithmetic series is represented by the equation S24 = 2-6+058. Which of the following is true?

Mathematics
2 answers:
joja [24]3 years ago
8 0

Answer:

The answer is C

Step-by-step explanation:

took the unit test

bagirrra123 [75]3 years ago
5 0

Answer:C. The value of the series is equal to the value of the 1st or 24th numbers in the series.

Step-by-step explanation:

The given series is .

To find the first term of this series, we substitute k=1 to obtain:

To find the 24th term of the series, we put k=24 to get:

The value of the series is the sum of all the terms in the series.

We can find the value of the series using the formula:

.

In this case, the last term is .

.

.

.

Now let us analyse the options:

A. The value of the series is greater than the value of the 24th number in the series.

False: because 6 is not greater than 6.

B. The value of the series is between the values of the 1st and 24th numbers in the series.

False:  because 6 is not between -5.5 and 6

C. The value of the series is equal to the value of the 1st or 24th numbers in the series.

True: In logics, an "or" statement (disjunction) is true if one of the alternatives is true. In this case the sum of the series is equal to the 24th number of the series because 6=6 is true

D. The value of the series is less than the value of the 1st number in the series.

False: because 6 is not less than -5.5

Step-by-step explanation:

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Walt and Hank collect quarters from different states. Walt collected q quarters. Hank collected four fewer quarters than Walt. T
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Answer:

Walt has 37 quarters.  Hank has 33.

Step-by-step explanation:

Solve the given equation for q:

0.25q + 0.25q - 1.00 = 17.50

Simplify this, obtaining:

0.50q = 18.50

Simplifying this by multiplying both terms of this result by 100:

50 q = 1850

Thus, q = 1850/50 = 37

Walt has 37 quarters.  Hank has 33.

Note that 37 + 33 = 70, and that 70($0.25) = $17.50.  So our results are correct.

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Match the information on the left with the appropriate equation on the right.
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Answer:

Step-by-step explanation:

1). Equation of a line which has slope 'm' and y-intercept as 'b' is,

y = mx + b

If slope 'm' = 1 and y-intercept 'b' = -3

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y = x - 3

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2). Equation of a line having slope 'm' and passing through a point (x', y') is,

y - y' = m(x - x')

If the slope 'm' = 1 and point is (-1, 2),

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