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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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Hypotenuse Math. 15 Points.
Rina8888 [55]

Using the Pythagorean theorem:

a^2 + b^2 = c^2

A and B are the sides and c is the hypotenuse.

4^2 + 5^2 = c^2

Simplify:

16+25 = c^2

41 = c^2

Take the square root of both sides:

c=√41

4 0
3 years ago
Read 2 more answers
Which of the following is a solution of x^2 2x = −2?
dem82 [27]
x^2+2x=-2\\
x^2+2x+1=-1\\
(x+1)^2=-1\\
x+1=\sqrt{-1}\vee x+1=-\sqrt{1}\\
x=-1+i \vee x=-1-i

3 0
3 years ago
In the triangles shown, ABC is dilated by a scale factor of to form XYZ. Given that mA = 45o and mB = 105o, what is mZ?
kompoz [17]

The value of angle Z is 30 degrees

<h3>How to determine the value of angle Z?</h3>

The given parameters are:

ABC is dilated to form XYZ

This means that the triangles ABC and XYZ are similar triangles and the corresponding angles are equal

So, we have the following angle equations

A = X

B = Y

C = Z

Also, we have

A + B + C = 180

Substitute C = Z in A + B + C = 180

A + B + Z = 180

Substitute A = 45 and B = 105

So, we have:

45 + 105 + Z = 180

Evaluate the like terms

150 + Z = 180

Subtract 150 from both sides

Z = 30

Hence, the value of angle Z is 30 degrees

Read more about angles at:

brainly.com/question/25716982

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4 0
1 year ago
Help- and also show the work please-
svetlana [45]

A fraction is a way to describe a part of a whole.  The correct option is C.

<h3>What is a Fraction?</h3>

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A proper fraction is a fraction whose numerator is smaller than the denominator. When a proper fraction is raised to a positive exponent greater than 1, then the product decreases but does not reach 0.

Hence, the correct option is C.

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8 0
2 years ago
Does anyone know how to do this
Thepotemich [5.8K]

Answer:

<u>The</u><u> </u><u>solution</u><u> </u><u>is</u><u> </u><u>B</u>

Step-by-step explanation:

x + 5 \geqslant 1 \\ x \geqslant 1 - 5 \\ x \geqslant  - 4

then:

x - 7 <  - 3 \\ x <  - 3 + 7 \\ x < 4

therefore, interval [limits] of x:

- 4 \leqslant x < 4

4 0
3 years ago
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