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Phoenix [80]
3 years ago
7

Find the 5th term of 8/9 ,-4/3 ,2​

Mathematics
1 answer:
Mama L [17]3 years ago
7 0

Answer:

\frac{9}{2}

Step-by-step explanation:

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

r = \frac{-\frac{4}{3} }{\frac{8}{9} } = \frac{2}{-\frac{4}{3} } = - \frac{3}{2}

This indicates the sequence is geometric.

To obtain the next term multiply the previous term by r, that is

a₄ = 2× - \frac{3}{2} = - 3

a₅ = - 3 × - \frac{3}{2} = \frac{9}{2}

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2/40 in between 0.07
nexus9112 [7]

Answer:

0.05

Step-by-step explanation:

2/40

1/20

0.05

6 0
3 years ago
1.2x + 3 =4x + 2
Dmitry_Shevchenko [17]
1. 2x+3=4x+2
  ⇒ 4x-2x=3-2
2x=1
x=1/2
There is one solution.

2. 18p-10p=5+6/2
8p=5+3
8p=8
p=8:8
p=1

3. 6a/3=2a
2a-a= -2 -3
a= - 5

4. 5+r-2=9,
 5-2+r=9
3+r=9
r=9 - 3
    r=6

5. -0,9 m= 9
     m= - 10

6. -2 (x+1/4)=5-1=4
     x+1/4= -2
     x= -2 - 1/4
     x= -8/4 - 1/4= - 9/4

7. 6f+4f= 6 + 12
    10 f = 18
      f=18/10=1,8

8. 7n - 3n= 16
    4n=16
    n=16:4
    n=4

9. 1/3m-5/6m= - 15 - 3
     2/6 m-5/6=-18
     - 3/6m=-18  ⇒ 1/2m=18
       m=2*18=36
     
7 0
3 years ago
3. Use the diagram 2 and 3 are ____ angles 1. complementary 2. vertical 3. right 4. supplementary
Vladimir79 [104]

#3

2 and three are supplementary angles .

#4.

The answer is opposite angles .

  • Hence there is no option

#5

Bisected angles are equal

\\ \sf\longmapsto 5x=3x+10

\\ \sf\longmapsto 5x-3x=10

\\ \sf\longmapsto 2x=10

\\ \sf\longmapsto x=\dfrac{10}{2}

\\ \sf\longmapsto x=5

Now

m<ABC

\\ \sf\longmapsto 5x+3x+10

\\ \sf\longmapsto 8x+10

\\ \sf\longmapsto 8(5)+10

\\ \sf\longmapsto 40+10

\\ \sf\longmapsto 50

5 0
2 years ago
Read 2 more answers
A banks loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviati
Alona [7]

Answer:

2.87%

Step-by-step explanation:

We have the following information:

mean (m) = 200

standard deviation (sd) = 50

sample size = n = 40

the probability that their mean is above 21.5 is determined as follows:

P (x> 21.5) = P [(x - m) / (sd / n ^ (1/2))> (21.5 - 200) / (50/40 ^ (1/2))]

P (x> 21.5) = P (z> -22.57)

this value is very strange, therefore I suggest that it is not 21.5 but 215, therefore it would be:

P (x> 215) = P [(x - m) / (sd / n ^ (1/2))> (215 - 200) / (50/40 ^ (1/2))]

P (x> 215) = P (z> 1.897)

P (x> 215) = 1 - P (z <1.897)

We look for this value in the attached table of z and we have to:

P (x> 215) = 1 - 0.9713 (attached table)

P (x> 215) =.0287

Therefore the probability is approximately 2.87%

4 0
3 years ago
The rectangles on a quilt are 2 inches wife and 3 inches long. the perimeter of each rectangle is made by a pattern of red threa
nikklg [1K]
(2+2+3+3)30 = 10(30) = 300 Inches
8 0
3 years ago
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