Here is the work for this equation:
2+9-x/4 =10
11-x/4=10
11-x=40
x=29
$8 per hour
Work for 4 hours a day so
$8x 4 =32
So he make $32 a day
The terms of an arithmetic progression, can form consecutive terms of a geometric progression.
- The common ratio is:
![\mathbf{r = \frac{a + 5d}{a + d}}](https://tex.z-dn.net/?f=%5Cmathbf%7Br%20%3D%20%5Cfrac%7Ba%20%2B%205d%7D%7Ba%20%2B%20d%7D%7D)
- The general term of the GP is:
![\mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_n%20%3D%20%28a%20%2B%20d%29%20%5Ctimes%20%28%5Cfrac%7Ba%20%2B%205d%7D%7Ba%20%2B%20d%7D%29%5E%7Bn-1%7D%7D)
The nth term of an AP is:
![\mathbf{T_n = a + (n - 1)d}](https://tex.z-dn.net/?f=%5Cmathbf%7BT_n%20%3D%20a%20%2B%20%28n%20-%201%29d%7D)
So, the <em>2nd, 6th and 8th terms </em>of the AP are:
![\mathbf{T_2 = a + d}](https://tex.z-dn.net/?f=%5Cmathbf%7BT_2%20%3D%20a%20%2B%20d%7D)
![\mathbf{T_6 = a + 5d}](https://tex.z-dn.net/?f=%5Cmathbf%7BT_6%20%3D%20a%20%2B%205d%7D)
![\mathbf{T_8 = a + 7d}](https://tex.z-dn.net/?f=%5Cmathbf%7BT_8%20%3D%20a%20%2B%207d%7D)
The <em>first, second and third terms </em>of the GP would be:
![\mathbf{a_1 = a + d}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_1%20%3D%20a%20%2B%20d%7D)
![\mathbf{a_2 = a + 5d}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_2%20%3D%20a%20%2B%205d%7D)
![\mathbf{a_3 = a + 7d}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_3%20%3D%20a%20%2B%207d%7D)
The common ratio (r) is calculated as:
![\mathbf{r = \frac{a_2}{a_1}}](https://tex.z-dn.net/?f=%5Cmathbf%7Br%20%3D%20%5Cfrac%7Ba_2%7D%7Ba_1%7D%7D)
This gives
![\mathbf{r = \frac{a + 5d}{a + d}}](https://tex.z-dn.net/?f=%5Cmathbf%7Br%20%3D%20%5Cfrac%7Ba%20%2B%205d%7D%7Ba%20%2B%20d%7D%7D)
The nth term of a GP is calculated using:
![\mathbf{a_n = a_1r^{n-1}}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_n%20%3D%20a_1r%5E%7Bn-1%7D%7D)
So, we have:
![\mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_n%20%3D%20%28a%20%2B%20d%29%20%5Ctimes%20%28%5Cfrac%7Ba%20%2B%205d%7D%7Ba%20%2B%20d%7D%29%5E%7Bn-1%7D%7D)
Read more about arithmetic and geometric progressions at:
brainly.com/question/3927222
Answer: There are 13464 cubic feet in the lake.
Step-by-step explanation:
Since we have given that
Surface area of lake = 748 acres
Average depth of lake = 18 feet
So, Volume of lake would be
Surface area of lake × Average depth
![=748\times 18\\\\=13464](https://tex.z-dn.net/?f=%3D748%5Ctimes%2018%5C%5C%5C%5C%3D13464)
Hence, there are 13464 cubic feet in the lake.
Answer:
A is bethel
B is below sea level by 22 feet
C is I would describe the elevation very low lowest elevation in North America
D is 0 the elevation is right at sea level.
E is has a lower elevation and is one of the lowest major cities in the entire United States.
Step-by-step explanation: