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Phoenix [80]
2 years ago
7

Find the 5th term of 8/9 ,-4/3 ,2​

Mathematics
1 answer:
Mama L [17]2 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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Find the sum of the following
Arisa [49]
1) 23
2) -20
3) 2
4) -28
5) -11
6 0
3 years ago
A zookeeper weighed an African elephant to be 9x10^3 pounds and an African lion to be 4x10^2 pounds. How many times greater is t
maria [59]
Answer:  22.5 .  The weight of the elephant is "22.5 times greater" than                              the weight of the lion.
_________________________________________________________
Explanation:
_________________________________________________________

(weight of lion) * (x) = (eight of the elephant)  ;  Solve for "x" .
_____________________________________________________
   → Divide each side of the equation by "(weight of lion)" ;
  to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________
    
   → (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
                                                           (weight of lion) ;
________________________________________________________
     →  x  = (weight of the elephant) / (weight of lion) ;
__________________________________________________________
     →  Plug in our "given values" ; and solve for "x" ;
__________________________________________________________
     →  x = (<span>9*10</span>³) / (4*10²) =  (9*10⁽³⁻²⁾) / 4  =  (9*10¹) / 4  ;
__________________________________________________________  
     →  x =  90 /4 = 25/2  = 22.5 ; which is our answer.
__________________________________________________________
4 0
2 years ago
The sum of two numbers is 108. the difference of the same numbers is 78. what are the numbers
Nimfa-mama [501]

The sum of two numbers:

x + y = 108

The difference of the same two numbers:

x - y = 78

We can use substitution to figure out x and y:

x - y = 78 can be changed to x = 78 + y

We can plug this into the first equation:

78 + y + y = 108

78 + 2y = 108

2y = 30

y = 15

Now solve for x using any of the two equations. I'll use the first equation since it's easier:

x + 15 = 108

x = 93

4 0
3 years ago
Pamela's boss rewards her hard work by telling her she is receiving a 12% raise. Pamela had been earning $15 per hour. After the
Maksim231197 [3]
It should be 16.8,
15 x (100% + 12%)
4 0
2 years ago
Read 2 more answers
B = 54°, b=15, c=<br> c = ? (Round answers to<br> the nearest hundredth.)
zaharov [31]

Answer:

18.54

Step-by-step explanation:

sine is opposite/hypotenuse, and you have opposite (b=15), so use that

sin(54) = 15/c

c = 15/sin54

then use calculator

c = 18.54

8 0
2 years ago
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