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:
Step-by-step explanation:
If the males make up 60% of the class then
The females make up 100 - 60 = 40% of the class.
Females = 40% * x where x = the class size.
380 = 40/100 * x
380*100 =38000
38000 = 40 x
38000/40 = x
x =950
Answer: c
Step-by-step explanation:
u want to separate it into the two triangles and a rectangle. so the first marked triangle is the first part of the problem then it adds on the rectangle 6(12) then theres that other unmarked triangle because u can see the bottom is 14 when the top is 12 so u take the formula and fill in 1/2(6)(2). i hope this makes sense im bad at explaining things.
6:22, 9:33, are both equivalent to 3:11.
Answer:
86%
Step-by-step explanation:
<u>430</u><u> </u> × <u>100</u> = <u>430</u> = 86%
500 1 5
you are going to cancel. 100 divided by 100 leaves 1. 500 divided by 100 is 5.
430×1= 430. 5×1=5. divide 430 by 5 and you"ll get 86.
