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KiRa [710]
2 years ago
5

Write the eighth term of the arithmetic sequence 0, 11, 22, .. ...

Mathematics
1 answer:
Degger [83]2 years ago
3 0

Answer:

77

Step-by-step explanation:

Since I only see 3 parts of the sequence im going to guess it keeps adding by 11, so it would be 0,11,22,33,44,55,66,77,88,99 where 77 would be the eighth number

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Solve 4x + 11 = k for x.
steposvetlana [31]

Answer:

Step-by-step explanation:

Simplifying

4x + 11 = k

Reorder the terms:

11 + 4x = k

Solving

11 + 4x = k

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.

11 + -11 + 4x = -11 + k

Combine like terms: 11 + -11 = 0

0 + 4x = -11 + k

4x = -11 + k

Divide each side by '4'.

x = -2.75 + 0.25k

Simplifying

x = -2.75 + 0.25k

4 0
3 years ago
Helpppppppppp aasapppp
dimaraw [331]

Answer:

2

Step-by-step explanation:

Simplify the following:

(-(2 + 2/3))/(-(1 + 1/3))

(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):

(2 + 2/3)/(1 + 1/3)

Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:

(2 + 2/3)/(3/3 + 1/3)

3/3 + 1/3 = (3 + 1)/3:

(2 + 2/3)/((3 + 1)/3)

3 + 1 = 4:

(2 + 2/3)/(4/3)

Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:

((3×2)/3 + 2/3)/(4/3)

3×2 = 6:

(6/3 + 2/3)/(4/3)

6/3 + 2/3 = (6 + 2)/3:

((6 + 2)/3)/(4/3)

6 + 2 = 8:

(8/3)/(4/3)

Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:

(8×3)/(3×4)

(8×3)/(3×4) = 3/3×8/4 = 8/4:

8/4

The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:

Answer: 2

7 0
3 years ago
Read 2 more answers
Negative 3 over 1 third plus 8 over 3 tenths
Katen [24]

The answer to your question is 7/5

3 0
3 years ago
Y=x+3over 8 proportional or nonproportional
Inessa [10]

Answer:

nonproportional

Step-by-step explanation:

x + 3

------- is definitely nonproportional.  The reason for this is that the graph (a

   8                                                      straight line) does not pass through the                          

                                                            origin; it's offset by 3/8 unit up from the          

                                                             origin.

6 0
2 years ago
An automobile manufacturer claims that its jeep has a 53.9 miles/gallon (MPG) rating. An independent testing firm has been contr
Advocard [28]

Answer:

Value of the test statistic, z_{test}  = - 1.17

Step-by-step explanation:

Null hypothesis, H_{0}: \mu = 53.9

Alternative hypothesis, H_{a} : \mu \neq 53.9

Sample mean, \bar{X} = 53.7

Sample size, n = 110

Standard deviation, \sigma = 1.8

Significance level, \alpha = 0.02

The value of the test statistics is given by the formula:

z_{test}  = \frac{\bar{X} - \mu}{\frac{\sigma}{\sqrt{n} } } \\z_{test}  = \frac{53.7 - 53.9}{\frac{1.8}{\sqrt{110} } } \\z_{test}  = - 1.17

7 0
3 years ago
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