Namely, how many times does 5/4 go into 95/4?   well, let's just divide,
 
 
        
        
        
Answer:
The explicit rule of the geometric sequence
  aₙ   = 187.5 (0.8)ⁿ⁻¹
Step-by-step explanation:
<u><em> Step(i):-</em></u>
Given that the third term of the sequence = 120
         tₙ = a rⁿ⁻¹   
        t₃  = a r³⁻¹ = ar²
         120 = ar² ..(i)
Given that the fifth term of the given geometric sequence = 76.8
         tₙ = a rⁿ⁻¹  
        t₅  = a r⁵⁻¹ = a r⁴
    76.8  = a r⁴...(ii)
<u><em>Step(ii):</em></u>- 
  Dividing (ii) and (i)
          
         r²   = 0.64
        r    =√ 0.64 = 0.8
Substitute r= 0.8 in equation (i)
          120 = ar² 
        120 = a(0.8)²
⇒      
<u><em>Step(iii):-</em></u>
The explicit rule of the geometric sequence
                  aₙ  = a rⁿ⁻¹
put a= 187.5  and r = 0.8
                 aₙ   = 187.5 (0.8)ⁿ⁻¹
  
 
        
             
        
        
        
Answer:
x∈(20/3;26/3)
Step-by-step explanation:
12 < 2x-4/3 < 16 
first we add 4/3 to each side
12+4/3<2x<16+4/3
we bring to the same denominator
12*3/3+4/3<2x<16*3/3+4/3
(36+4)/3<2x<(48+4/3)
40/3<2x<52/3
now we divide by 2
20/3<x<26/3
x∈(20/3;26/3)
 
        
             
        
        
        
Answer:
5% each hour
Step-by-step explanation:
in 1.5 hours she loses 7.5% of battery
get the percentage of loss for a half hour.
divide 1.5 and 7.5 by 3.
That gives a loss of 2.5% for every half hour. 
Which gives a loss of 5% percent an hour.
 
        
             
        
        
        
Answer:
can u please type out the photo is too dark to see the questions
Step-by-step explanation: