Answer:
$64.8
Step-by-step explanation:
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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
Answer:
Volume = V= 346.43 cm ^3
Step-by-step explanation:
15.32 x 10 = 153.2cm Area of side
We find the height of the cylinder, to enable the radius/2 for the circle side x 2
it would be the same as triangle side 6 but the exact circumference is worked out at 6.37
We start by finding the side
As a = half circumference = 20 x sin (30) =10 we x2 for full circumference, then divide by pi
10 +10 =20cm circumference.
20/6.28 =3.1847133758 = radius
we x 2 and find the height
3.1847133758 x 2 = 6.3694267516
rounded to nearest 10th = 6.4 units exact 6.37
We find other measurements before calculating volume.
and b = √400-√100 = √300
b= 17.32 (height for volume use) or length of right side cylinder
c= 20 hypotenuse.
Volume = πr2h
V= 3.14 * 6.37 * 17.32 =346.43
V= 346.43 cm ^3
V= 346 cm ^3 to nearest 10th
V= 346.43 cm^3
Answer:
B-14
Step-by-step explanation:
Divide 220.50 by 15.75 and you will get 14
Hope it can help you lovelots
To get an average, you must do the following steps.
step 1:add all the numbers together.
190258.50+152698.00+122753.00+220523.00+231951.00= 918183.5Step 2: divide the ANSWER you get by the amount of numbers there are:
(in this case, it will be 5, because you added 5 numbers together)
918183.5/5
your answer is: 183636.7
that is your average
hope this helps :D