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2 years ago

What is the nth term rule of the linear sequence below? 5,8,11,14,17. Tn=

Mathematics

1 answer:

Art [367]2 years ago

8 0

Answer:

Tn = 5 +3(n -1)

Step-by-step explanation:

The first term of the sequence is a1 = 5. The common difference of the terms of the sequence is d = 8-5 = 3. The general term is ...

Tn = a1 +d(n -1)

Tn = 5 +3(n -1) . . . . . . fill in the values for this sequence.

_____

<em>Additional comment</em>

If you like, you can simplify this to ...

Tn = 3n +2

To read more about sequence formulas, see ...

brainly.com/question/26861523

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What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given sys

Thepotemich [5.8K]

The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

If the system of linear equations has one solution, then the two line are intersected
If the system of linear equations has no solution, then the two line are parallel
If the system of linear equations has many solutions, then the two line are coincide (over each other)

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

Learn more:

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6 0

3 years ago

Roberto will save 1/6 of his alowence each day. If he gets $2.00 a day, about how much money will he save each day? Round your a

Tresset [83]

2.00/6 = $0.33 rounded to the nearest penny, it actually is $0.333333333333 (infinite)

I hope this helped you out :)

5 0

3 years ago

Please help and explain I'll give u 12pts

White raven [17]

-7x² + 70x - 175

= -7(x² - 10x + 25)

= -7(x - 5)²

= -7(x + -5)²

Answer: -5

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3 years ago

What is the volume of a rectangular prism with length 12 ft, height 14 ft, and width 17 ft? V=lwh

Slav-nsk [51]

Answer: the volume of a rectangular prisim with lenths (12ft , height 14 ft , and width 17 ft ) is

V=2856ft³

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3 years ago

Name

Aliun [14]

The completed table is given below,

the percentage of girls in the class is 47.62%,

the percentage of boys in the class is (100-47.62)% = 52.38%,

the percentage of students that love Math is 36.5%,

the percentage of students that love Reading is 22%, and

the percentage of students that love Science is 41.27%

To make comparison and statistical analysis easier, numerical data is systematically and logically represented in tabulations as rows and columns. Grouping relevant data together makes comparison easier and aids in statistical analysis and interpretation.

To put it another way, tabulation is the process of organizing data and presenting it in a tabular format. Depending on the type of categorization, it might be double, complicated, or simple.

The below table yields that

The total number of students is 315

The fraction of girls in the class is 150/315 = 0.4762

So, the percentage of girls in the class is 47.62%

Hence the percentage of boys in the class is (100-47.62)% = 52.38%

The fraction of students that love Math is 115/315 = 0.365

So, the percentage of students that love Math is 36.5%

The fraction of students that love Reading is 70/315 = 0.22

So, the percentage of students that love Reading is 22%

The fraction of students that love Science is 130/315 = 0.4127

So, the percentage of students that love Science is 41.27%

Learn more about tabulation here-

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2 years ago