Answer:
254.34 m^2
Step-by-step explanation:
The diameter is 18 so the radius is 1/2 of the diameter
The radius is 9
The area of the circle
A = pi r^2
= 3.14 (9) ^2
254.34 m^2
Answer: The given series is a geometric series sum 2730.
Step-by-step explanation: We are given to evaluate the following series :
2, 8, 32, 128, 512, 2048.
Let,
denote the n-th term of the given series.
Then, we see the following pattern in the consecutive terms of the given series:
![a_1= 2, \\\\a_2=8=2\times 4=4a_1, \\\\a_3=32=8\times 4=4a_2\\\\a_4=128=32\times4=4a_3,\\\\a_5=2048=128\times4=4a_4,\\\\\vdots~~~~~~\vdots~~~~~~\vdots](https://tex.z-dn.net/?f=a_1%3D%202%2C%20%5C%5C%5C%5Ca_2%3D8%3D2%5Ctimes%204%3D4a_1%2C%20%5C%5C%5C%5Ca_3%3D32%3D8%5Ctimes%204%3D4a_2%5C%5C%5C%5Ca_4%3D128%3D32%5Ctimes4%3D4a_3%2C%5C%5C%5C%5Ca_5%3D2048%3D128%5Ctimes4%3D4a_4%2C%5C%5C%5C%5C%5Cvdots~~~~~~%5Cvdots~~~~~~%5Cvdots)
Therefore, each term after the first one is the product of the preceding term and 4.
That is, the given series is a geometric series with first term 2 and common ratio 4.
Thus, the required sum of the given series is
![S_5\\\\=2+8+32+128+512+2048\\\\=\dfrac{a(r^6-1)}{r-1}\\\\\\=\dfrac{2(4^6-1)}{4-1}\\\\\\=\dfrac{2}{3}\times (4096-1)\\\\=2\times1365\\\\=2730.](https://tex.z-dn.net/?f=S_5%5C%5C%5C%5C%3D2%2B8%2B32%2B128%2B512%2B2048%5C%5C%5C%5C%3D%5Cdfrac%7Ba%28r%5E6-1%29%7D%7Br-1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B2%284%5E6-1%29%7D%7B4-1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B2%7D%7B3%7D%5Ctimes%20%284096-1%29%5C%5C%5C%5C%3D2%5Ctimes1365%5C%5C%5C%5C%3D2730.)
The required sum of the series is 2730.
Answer:
Step-by-step explanation:
Convert 2y=-3x+2 into y=mx+b form
![\frac{2y}{2} =\frac{-3x+2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D%20%3D%5Cfrac%7B-3x%2B2%7D%7B2%7D)
![y=\frac{-3x}{2} +1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-3x%7D%7B2%7D%20%2B1)
Y intercept is 1, slope is -3/2
Graph looks like this:
Answer:
1 and 4 should be the answer since 1 is 4 just angled differently
^-^
Answer:
26,000 liters to 54,000 liters
Step-by-step explanation:
To obtain the lower end of the water used;
137.00-75.24=$61.76
So, $61.76/ $3.86=16
This represents 16,000 liters above the 10,000 already used since $3.86 is charged per 1000 litres for water usage in excess of 10,000 litres.
Therefore the lower end is 16,000 + 10,000 = 26,000 liters
.
For the higher end;
245.08-75.24=$169.84
$169.84
/$3.86=44, this means 44,000 extra liters more than the 10,000 litres already used.
Hence the higher end is 44,000 + 10,000 = 54,000 liters