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anyanavicka [17]
2 years ago
6

What is the value of x?​

Mathematics
1 answer:
fredd [130]2 years ago
6 0

Answer:

value of x is 5

Step-by-step expla

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Find the sum of the first 90 terms of the sequence -4,-1,2,5,8
telo118 [61]

Answer:

1655

Step-by-step explanation:

Note the common difference d between consecutive terms of the sequence

d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3

This indicates the sequence is arithmetic with sum to n terms

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

Here a₁ = - 4, d = 3 and n = 90, thus

S_{90} = \frac{90}{2} [ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655

4 0
3 years ago
Draw two lines that are perpendicular. What type of angle is formed where the perpendicular lines intersect?
Vladimir79 [104]

a right angle (90 degrees)

4 0
3 years ago
Read 2 more answers
Which function is a quadratic function?
DerKrebs [107]
The correct answer is: [C]:  " c(x) = –8x²<span> + 3x – 5 " .
_________________________________________________________
  The quadratic function takes the form of:
_________________________________________________________
  " f(x) =  ax</span>²  + bx + c " .
_________________________________________________________
Answer choice:  [C]:  " c(x) = –8x² + 3x – 5 "  ;

  is the only answer choice provided that takes that form of the quadratic function:

  " f(x) =  ax²  + bx + c " :

in which:  " a = -8 " ; " b = 3 " ;  " c = -5 " .
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5 0
3 years ago
Trang has a job planting shrubs beside the highway. He needs to plant 500 shrubs in a week. So far, he has planted this many: Mo
Viefleur [7K]
84+92+87+104=367
500-367=133
He needs to plant 133 shrubs on Friday
3 0
3 years ago
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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
beks73 [17]

Answer:

(5.4582 ; 6.8618)

Step-by-step explanation:

Given the data:

6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5

Sample mean, xbar = Σx / n

n = sample size = 50

ΣX = 308

xbar = 308 / 50 = 6.16

Using a Calculator :

The sample standard deviation, s = 2.469

Confidence interval = xbar ± margin of error

Margin of Error = Tcritical * s/sqrt(n)

Tcritical at 95% ; df = 50 - 1 = 49

Tcritical = 2.010

Hence,

Margin of Error= 2.010 * (2.469/sqrt(50)) = 0.7018

Lower boundary : (6.16 - 0.7018) = 5.4582

Upper boundary : (6.16 + 0.7018) = 6.8618

(5.4582 ; 6.8618)

4 0
2 years ago
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