Sequence: 5/2, 5/4, 5/8, 5/16
a8=?
a1=5/2
a2=5/4
a3=5/8
a4=5/16
a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2
an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n
n=8→a8=5/2^8
a8=5/256
Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
I think its B)55
i hope it helps
180=2x+y
180-y=2x
(180-y)/2=x
Answer:
The required volume is 5 ml.
Step-by-step explanation:
Given : In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volume means 0.080 mL of ethanol per 100 mL of blood and is considered proof of intoxication. If a person's total blood volume is 5.0 L.
To find : What volume of alcohol in the blood gives a blood alcohol level of 0.100 % by volume?
Solution :
According to question we use the formula,

The percentage of a blood alcohol level is 0.100%
The total volume of the blood is V=5L=5000 ml.
Substitute the value in the formula,




Therefore, the required volume is 5 ml.
Answer:
x=10.5
Step-by-step explanation:
if the two triangles were ratios it would be like
19.3:7.2 to x:3.9
so 75.27 = 7.2x
whcih is 10.45 which is approximately 10.5