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Klio2033 [76]
3 years ago
6

Determine whether the sequence converges or diverges. If it converges, give the limit.

Mathematics
1 answer:
azamat3 years ago
4 0
The term to term rule is multiplying by 4 and if we continue doing this, we will move towards very large positive numbers.

This sequence, therefore, diverges to infinity
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Help I need this in like 5 minutes this due
Schach [20]

Answer:

1) 64 yd

2) 1.8 ft

3) 15 ft

4) 4 cm

5) B

Step-by-step explanation:

6 0
3 years ago
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Does anyone know the answer to 2/3 divided by 1/6
saveliy_v [14]

Answer:

4

Step-by-step explanation:

You would first do 2/3 times 6/1 which is 12/3. Then you would simplify and divide 12 by 3 to get 4.

7 0
3 years ago
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Classify the numbers as rational or irrational
Morgarella [4.7K]

Answer:

-\sqrt{13} = Irrational

43.95 (repeat sign) = Rational

-3π = Irrational

-√49 = Rational

6/15 = Rational

Step-by-step explanation:

Note:

A rational number can be defined as any number that can be expressed or written in the p/q form, where 'p' and 'q' are integers and q is a non-zero number. An irrational number on the other hand cannot be expressed in p/q form and the decimal expansion of an irrational number is non-repeating and non-terminating.

-----------------------------------------------------------------------------------------------------------

The square root of a negative number is imaginary.

Natural Number Test

A number is natural if it is one of the counting numbers (greater than 0), i.e., 1,2,3,4,5,...

Since NAN is not both positive and a counting number, NAN is not a natural number

Whole Number Test:

Whole Numbers are positive numbers, including 0, with no decimal or fractional parts

Since NAN is not both ≥ 0 and an integer, NAN is a not a whole number

Integer Test

The number is an integer if it is a whole number (no fractions or decimals) positive or negative including the number 0, ...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...

Since NAN is not a positive or negative number (no decimals or fractions), NAN is not an integer

Rational Number Test

The number NAN is rational if it is an integer or decimal

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

Irrational Number Test:

An irrational number is a number that cannot be expressed as a ratio between two integers and is not an imaginary number.

Since NAN is the square root of a negative number, it is imaginary

Imaginary Numbers are not rational

Imaginary

----------------------------------------------------------------------------------------------------------

43.95 ⇒ With repeat sign over 43.95

The decimal places repeat an infinite amount of times and when a decimal repeats it's rational.

-----------------------------------------------------------------------------------------------------------

Pi is a Greek letter (π), and one of the most well-known mathematical constants.

It is the ratio of a circle's circumference to its diameter which is always constant.

pi (π) approximately equals 3.14159265359... and is a non-terminating non-repeating decimal number.

Hence 'pi' is an irrational number.

Any number with pi is considered irrational.

----------------------------------------------------------------------------------------------------------

The square root of a negative number is imaginary.

Natural Number Test

A number is natural if it is one of the counting numbers (greater than 0), i.e., 1,2,3,4,5,...

Since NAN is not both positive and a counting number, NAN is not a natural number

Whole Number Test:

Whole Numbers are positive numbers, including 0, with no decimal or fractional parts

Since NAN is not both ≥ 0 and an integer, NAN is a not a whole number

Integer Test

The number is an integer if it is a whole number (no fractions or decimals) positive or negative including the number 0, ...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...

Since NAN is not a positive or negative number (no decimals or fractions), NAN is not an integer

Rational Number Test

The number NAN is rational if it is an integer or decimal

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

Irrational Number Test:

An irrational number is a number that cannot be expressed as a ratio between two integers and is not an imaginary number.

Since NAN is the square root of a negative number, it is imaginary

Imaginary Numbers are not rational

Imaginary

But is rational as it equals -7.

----------------------------------------------------------------------------------------------------------

Rational because the decimal terminates:

6/15 = 0.4/0.40...

4 0
2 years ago
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Matt wants to hire a company to detail his car. Company A charges $15+17h where h represents the hours it takes to detail the ca
tensa zangetsu [6.8K]

Answer:

5 hours

Step-by-step explanation:

First, you set the equations equal, so 20h=17h+15

Second, you isolate the h, so you would subtract 17h from both sides, giving you 3h=15

Last, you divide both sides by 3 giving you h=5, meaning the companies charge the same price after 5 hours.

8 0
3 years ago
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87 times a number minus 8 <br> is equal to -42 less than the number
Fofino [41]

Answer:

-17/44

Step-by-step explanation:

87n - 8 = -42 - n

88n = -34

n = -34/88

n = -17/44

8 0
3 years ago
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