The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
6,2,2/3….
Find the 8th term.

Answer:

answer is in attachment

Answer:

x = 48

Step-by-step explanation:

Multiply both sides by 6

x = 6 * 8

x = 48

Check:

48/6 = 8

8 = 8

Answer:

[tex] \frac{x}{6} = 8 \\ \\ x = 8 \times 6 \\ \\ x = 48[/tex]

Answer:

So the reciprocal of 6 is 1/6 because 6 = 6/1 and 1/6 is the inverse of 6/1.

Step-by-step explanation:

Answer:

The answer is 3/3 or 1

Step-by-step explanation:

I. If pqr = 1, then 1*1*1 = 1 , so p = 1, q = 1 and r = 1

           When [tex]1^{-1}[/tex] = 1

         [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex]

         = [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex]

         = [tex]\frac{3}{3}[/tex]

         = 1

Hope that help :D

Answer:

Step-by-step explanation:

Let say a and b the 2 natural integers with 0 < a< b.

Since a*b=GCF(a,b)*LCM(a,b)

a*b < 3*20=60

[tex]\begin{array}{c|c|c|c|c|c}a&b&a*b&GCF&LCM&GCF*LCM\\---&---&---&---&---&---\\3&6&18&3&6&18\\3&9&27&3&9&27\\3&12&36&3&12&36\\3&15&45&3&15&45\\3&18&54&3&18&54\\6&9&54&3&18&54\\---&---&---&---&---&---\\\end {array}[/tex]

The simplified expression is -1.42x + 2.8.

Sure, let's simplify the expression step by step:

1. Distribute the coefficients to the terms inside the parentheses:

0.2 * 4.9x + 0.2 * 6 + 0.8 * 2 - 0.8 * 3x

2. Simplify each term:

0.98x + 1.2 + 1.6 - 2.4x

3. Combine like terms:

(0.98x - 2.4x) + (1.2 + 1.6)

-1.42x + 2.8

So, the simplified expression is -1.42x + 2.8.

Learn more about expression at https://brainly.com/question/723406

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Answer:

[tex] \boxed{d = \frac{5}{3}}[/tex]

Step-by-step explanation:

[tex]given \: points \: (2,1) \: and \: (1, - \frac{1}{3}): \\ d \: = \sqrt{ (x _{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} } \\ d \: = \sqrt{ (1 - 2)^{2} +( - \frac{1}{3} - 1)^{2} } \\ d \: = \sqrt{ ( - 1)^{2} +( - \frac{4}{3})^{2} } \\d \: = \sqrt{ (1) +( \frac{16}{9}) } \\d \: = \sqrt{ 1 + \frac{16}{9} } \\d \: = \sqrt{ \frac{9}{9} + \frac{16}{9} } \\d \: = \sqrt{ \frac{25}{9} }\\d \: = \frac{\sqrt{ 25 }}{\sqrt{ 9 }} \\d \: = \frac{ 5}{3} [/tex]

Step-by-step explanation:

[tex] {a}^{2} + 7a + 12 = a + 4 \\ {a}^{2} + 7a - a - 4 + 12 = 0 \\ {a}^{2} + 6a + 8 = 0 \\ {a}^{2} + 4a + 2a + 8 = 0 \\ a(a + 4) + 2(a + 4) = 0 \\ (a + 4)(a + 2) = 0 \\ a + 4 = 0 \: or \: a + 2 = 0 \\ a = - 4 \: or \: a = - 2[/tex]

Answer:

a = -4 or a = -2

Step-by-step explanation:

a² + 7a + 12 = a + 4

=> a² + 7a - a + 12 - 4 = 0

=> a² + 6a + 8 = 0

=> a² + 2a + 4a + 8 = 0

=> a(a + 2) + 4(a + 2) = 0

=> (a + 4)(a + 2) = 0

=> a = -4 or a = -2

Answer: x=585

Step-by-step explanation:

thats the answer

Step-by-step explanation:

w+z=1-5+2+4¡

w+z=-2+4¡

and if you mean w= 1-5¡ , z= 2+4¡

z+w= 1-5¡+2+4¡

z+w= 3-¡

Answer:

(f - g) (x) = 2x^2 - 4x - 3

Step-by-step explanation:

(f - g) (x) = f(x) - g(x)

(f - g) (x) = 2x^2 - 2 - (4x + 1)

(f - g) (x) = 2x^2 - 2 - 4x - 1

(f - g) (x) = 2x^2 - 4x - 3

Answer:

[tex]1140[/tex]

Step-by-step explanation:

[tex](−57)×(−19)+57 \\ =1083+57 \\ =1140[/tex]

Answer:

1140

Step-by-step explanation:

1. you first need to distribute -57 to -19 as they are being multiplied

(-57) · (-19) + 57

(1083) + 57

2. now you remove the parenthesis and add the liked terms

1083 + 57 = 1140

hope this helps! if you have any questions, let me know!

Answer:

The answer to this question is0

The money belongs to Jackie, Avery, and Samantha is $10, $30, and $16 respectively.

Given that,

Avery has three times as Jackie.

Also, Jackie has $6 lower than Samantha.

Together they have $56.

Based on the above information

Let us assume the Jackie be x

So, Avery should be 3x

Samantha should be x + 6

So, the equation should be

x + 3x + x + 6 = $56

5x = $56 - $6

5x = $50

x = $10

So, Jackie has $10

Avery has $30

And, Samantha has $16

Therefore we can conclude that the money belongs to Jackie, Avery, and Samantha is $10, $30, and $16 respectively.

Learn more about the money here: brainly.com/question/10943652

Answer:

(3.5, 4.8)

Step-by-step explanation:

2.6 - 1.7 = 0.9, 2.6 + 0.9 = 3.5

3 - 1.2 = 1.8, 3 + 1.8 = 4.8

Answer:

[tex]thank \: you[/tex]

Answer:

2.008, 2.08, 2.8

Step-by-step explanation:

You basically have to go in order of the tens, hundreths, and thousandths place. So first is the thousandths place which is the third digit after the decimal. That would be 2.008, then the one that has a hundredths place is 2.08, and then the tenths place with the 2.8

Answer:

[tex] \frac{1}{3} (2x - y) = z \\ \frac{2}{3} x - \frac{y}{3} = z \\ \frac{2}{3} x = z + \frac{y}{3} \\ \frac{2}{3} x = \frac{3z + y}{3} \\ x = \frac{3z + y}{3} \div \frac{2}{3} \\ x = \frac{3z + y}{3} \times \frac{3}{2} = \frac{3(3z + y)}{6} \\ \\ x = \frac{3z + y}{2} \\ \\ x = \frac{3z}{2} + \frac{y}{2} [/tex]

I hope I helped you^_^

Step-by-step explanation:

Steps are in the picture above.

Note:if you need to ask any question please let me know.

[tex]\\ \rm\longmapsto x^2-y^2[/tex]

[tex]\\ \rm\longmapsto (-3)^2-(2)^2[/tex]

[tex]\\ \rm\longmapsto 9-4[/tex]

[tex]\\ \rm\longmapsto 5[/tex]

Answer:

-3

Step-by-step explanation:

in every term we subtract 2 so

7-2=5

so in every answer subtract 2

5-2=3

3-2=1

1-2=-1

-1-2=-3

Answer:

- 3

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

5 - 7 = 3 - 5 = 1 - 3 = - 1 - 1 = - 2

Thus subtracting 2 from the last term shown gives the next term

- 1 - 2 = - 3

Answer:

7⅔ pounds to be shared 1⅓ per container.

For a clearer and swift understanding

Change them from Mixed NUMBERS to simple fractions

7⅔ = 23/3

1⅓ = 4/3

Now

We need to Fill 23/3 pounds of walnuts by 4/3 each into a container

Simply divide 23/3 by 4/3 to know how many walnuts that would enter

23/3 ÷ 4/3

23/3 x 3/4 = 23/4.

SO 23/4 CONTAINERS WOULD BE FILLED.

23/4 containers when converted to mixed numbers is

5¾.

This is our answer.

But Looking at the Question

5¾ has been broken to two fractions.

The Number that'll fill the blank space is 5.

Why? 5 + 9/12 = 23/4 which is the answer we got initially.

ANSWER = 5

Hope it helps tho.

I'm open to questions if there's any!

Have a great day!

Answer:

school:

cleaned class rooms and background

cooking equipment are laboratory tested of being germs free and also bacteria free

community: clean environment

Step-by-step explanation:

Answer:

c = 1

Step-by-step explanation:

Given

9 = 2(c + 3) + 1 ← distribute parenthesis and simplify right side

9 = 2c + 6 + 1

9 = 2c + 7 ( subtract 7 from both sides )

2 = 2c ( divide both sides by 2 )

1 = c

Answer:

[tex]c = 1[/tex]

Step-by-step explanation:

[tex]9 = 2(c + 3) + 1 \\ 9 = 2c + 6 + 1 \\ 9 = 2c + 7 \\ 9 - 7 = 2c \\ 2 = 2c \\ c = \frac{2}{2} \\ c = 1[/tex]

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

in other words 80 percent of Doctors use computers  and 20% do not use computers.

Answer:

y = [tex]\frac{4}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

8x - 6y + 12 = 0 ( subtract 8x + 12 from both sides )

- 6y = - 8x - 12 ( divide terms by - 6

y = [tex]\frac{-8}{-6}[/tex] x + 2 , that is

y = [tex]\frac{4}{3}[/tex] x + 2 ← in slope- intercept form

Answer:

[tex] \frac{x - 5}{3} \geqslant 2.8 \\ \\3 \times ( \frac{x - 5}{3} ) \geqslant \frac{28}{10} \times 3 \\ \\ \\ x - 5 \geqslant \frac{84}{10} \\ \frac{84}{10} = 8.4 \\ \\ x - 5 \geqslant 8.4 \\ \\ x \geqslant 13.4[/tex]