This is the concept of density, volume and mass of different materials; To calculate for the volume of an aluminium material with density of 2.375 grams per cubic centimeter and a mass of 0.78 Kilogram we proceed as follows;
Density=mass/volumemaking volume the subject we get;volume=mass/densitythus;mass=0.78 kg= 780 gdensity=2.375 g/cm^3Hence,volume=780/2.375=328.421 cm^3
A geometric sequence is defined by a starting point, 
, and a common ratio 
The first term is , and you get every next term by multiplying the previous one by r.
So, our terms are
![\left[\begin{array}{c|c}a_1&a\\a_2&ar\\a_3&ar^2\\a_4&ar^3=-12\\a_5&ar^4=-6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Cc%7Da_1%26a%5C%5Ca_2%26ar%5C%5Ca_3%26ar%5E2%5C%5Ca_4%26ar%5E3%3D-12%5C%5Ca_5%26ar%5E4%3D-6%5Cend%7Barray%7D%5Cright%5D)
We can see that when we pass from 
to 
the number gets halved (
)
This implies that the common ratio is 
So, the table becomes
![\left[\begin{array}{c|c}a_1&a\\a_2&\frac{1}{2}a\\a_3&\frac{1}{4}a\\a_4&\frac{1}{8}a=-12\\a_5&\frac{1}{16}a=-6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Cc%7Da_1%26a%5C%5Ca_2%26%5Cfrac%7B1%7D%7B2%7Da%5C%5Ca_3%26%5Cfrac%7B1%7D%7B4%7Da%5C%5Ca_4%26%5Cfrac%7B1%7D%7B8%7Da%3D-12%5C%5Ca_5%26%5Cfrac%7B1%7D%7B16%7Da%3D-6%5Cend%7Barray%7D%5Cright%5D)
So, we can derive the starting point from either or :
The sequence is thus
![\left[\begin{array}{c|c}a_1&-96\\a_2&-48\\a_3&-24\\a_4&-12\\a_5&-6\\a_6&-3\\\vdots&\vdots\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Cc%7Da_1%26-96%5C%5Ca_2%26-48%5C%5Ca_3%26-24%5C%5Ca_4%26-12%5C%5Ca_5%26-6%5C%5Ca_6%26-3%5C%5C%5Cvdots%26%5Cvdots%5Cend%7Barray%7D%5Cright%5D)
And the recursive formula is
Given:
radius : 3.5 ft
height : 14 ft
Surface Area of a cylinder = 2πrh + 2πr²
S.A. = 2 * 3.14 * 3.5ft * 14ft + 2 * 3.14 * (3.5ft)²
S.A. = 307.72ft² + 2 * 3.14 12.25ft²
S.A. = 307.72ft² + 76.93ft²
S.A. = 384.65 ft²
Volume of a cylinder = πr²h
V = 3.14 * (3.5ft)² * 14ft
V = 3.14 * 12.25ft² * 14ft
V = 538.51 ft³
Answer:
15
Step-by-step explanation:
5x+13+11x-73=180°( co-interior angles sum is 180)
5x+11x+13-73=180°
16x-60=180
16x=180+60
16x=240
x=15
Answer:
Step-by-step explanation:
For example, if f(x) = 2x + 7
then f(-3) = 2(-3) + 7
f(-3) = 1
