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Anna [14]
3 years ago
9

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0

Answer:

First term: 5

Fourth term: 5 1/2

Tenth term: 6 1/2

Step-by-step explanation:

Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:

A(n) = 5 + (n-1) (1/6)

First term:

A(1) = 5 + (1-1) (1/6)

A(1) = 5 + (0) (1/6)

A(1) = 5

Fourth term:

A(4) = 5 + (4-1) (1/6)

A(4) = 5 + (3) (1/6)

A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)

Tenth term:

A(10) = 5 + (10-1) (1/6)

A(10) = 5 + (9) (1/6)

A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)

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PLEASE HELP!! Thank you!!!!
SVEN [57.7K]

Answer:

The answer to your question is

Step-by-step explanation:

Data

                   4x - 8y = -16    ------------ (I)

                     x - 2y = - 8     ------------ (II)

a) Solve equation II for x

                     x = 2y - 8

   Substitute x in equation I

                    4(2y - 8) - 8y = -16

                    8y - 32 - 8y = -16

                     8y - 8y = 32 - 16

                            0 = 16             The system has no solution because y was

                                                     cancelled.

b) When a system of equations do not have solution means that the lines are parallels and different.

                                   

6 0
3 years ago
Who knows the answer
shepuryov [24]

5, -4. that might not be right, though

4 0
3 years ago
Read 2 more answers
Write the equation of a line with the slope of -7 and passing through the point (2, 2).​
grandymaker [24]

Answer:

y=-7x+16

Step-by-step explanation:

y-y=m(x-x1)

y-2=-7(x-2)

y-2=-7x+14

+2 +2

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5 0
3 years ago
Which equation can be used to find the volume of this solid?
Zina [86]

Answer:

V = StartFraction 7 times 6 over 2 EndFraction times 8

Step-by-step explanation:

Volume of a triangular prism is expressed as V = Base area × Height

Base area = area of the triangle = 1/2 × base × height

If the triangular base has a base of 7 inches and height of 6 inches.

The height of the prism is 8 inches.

Base area = 1/2 × 7 × 6

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Height = 8

V = (7×6)/2 × 8

The right option is V = StartFraction 7 times 6 over 2 EndFraction times 8

5 0
3 years ago
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How long did it take a biker to travel 20 miles at 12mph
Anika [276]

Time = Distance / speed

Time = 20 miles / 12mph

Time = 1 and 2/3 hours ( 1 hour and 40 minutes)

5 0
3 years ago
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