Answer:
17900
Step-by-step explanation:
First term a = -19
common difference d = -15-(-19) = 4
number of terms, n = 100
sum of first 100 terms,
n/2(2a+(n-1)d)
= 100/2(2×(-19)+(100-1)4)
= 50×(-38+99×4)
= 50×358
= 17900
Answer:
D 40,000nm
Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um
Therefore in 40 microns there are:
40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm
You can make 4 out of 18 cubes
Answer:
You have 1.07 acres in this building lot and you can only build 2 houses.
Step-by-step explanation:
You are looking at a 260 foot by 180 foot building lot to subdivide and build two houses.
We are given that 1 acre = 43,560 square feet.
In this building plot (260 foot by 180 foot), the area is:
260 * 180 = 46,800 square feet
Hence, the number of acres we have in this lot is:
![\frac{46800}{43560} = 1.07](https://tex.z-dn.net/?f=%5Cfrac%7B46800%7D%7B43560%7D%20%3D%201.07)
Since your town requires 1/2 acre to build a house, the number of houses that you can build on it will be:
![\frac{1.07}{\frac{1}{2} } = 1.07 * 2 = 2.14](https://tex.z-dn.net/?f=%5Cfrac%7B1.07%7D%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%201.07%20%2A%202%20%3D%202.14)
Since the number of houses can only be whole number, we approximate to nearest whole number ≅ 2 houses.
You have 1.07 acres in this building lot and you can only build 2 houses.