![\bf 8~~,~~\stackrel{8-2}{6}~~,~~\stackrel{6-2}{4}~~,~~\stackrel{4-2}{2}~~,~~\stackrel{2-2}{0}](https://tex.z-dn.net/?f=%5Cbf%208~~%2C~~%5Cstackrel%7B8-2%7D%7B6%7D~~%2C~~%5Cstackrel%7B6-2%7D%7B4%7D~~%2C~~%5Cstackrel%7B4-2%7D%7B2%7D~~%2C~~%5Cstackrel%7B2-2%7D%7B0%7D)
so, as you can see, the common difference is then -2, and the first term is clearly 8, thus
![\bf n^{th}\textit{ term of an arithmetic sequence}\\\\a_n=a_1+(n-1)d\qquad\begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\d=\textit{common difference}\\[-0.5em]\hrulefill\\a_1=8\\d=-2\\n=14\end{cases}\\\\\\a_{14}=8+(14-1)(-2)\implies a_{14}=8-26\implies a_{14}=-18](https://tex.z-dn.net/?f=%5Cbf%20n%5E%7Bth%7D%5Ctextit%7B%20term%20of%20an%20arithmetic%20sequence%7D%5C%5C%5C%5Ca_n%3Da_1%2B%28n-1%29d%5Cqquad%5Cbegin%7Bcases%7Dn%3Dn%5E%7Bth%7D%5C%20term%5C%5Ca_1%3D%5Ctextit%7Bfirst%20term%27s%20value%7D%5C%5Cd%3D%5Ctextit%7Bcommon%20difference%7D%5C%5C%5B-0.5em%5D%5Chrulefill%5C%5Ca_1%3D8%5C%5Cd%3D-2%5C%5Cn%3D14%5Cend%7Bcases%7D%5C%5C%5C%5C%5C%5Ca_%7B14%7D%3D8%2B%2814-1%29%28-2%29%5Cimplies%20a_%7B14%7D%3D8-26%5Cimplies%20a_%7B14%7D%3D-18)
Answer:
cos B
Step-by-step explanation:
Let us take a look at angle B
The side adjacent angle B is 24 while the hypotenuse (the side facing the right angle) is 25
The relationship between the adjacent and the hypotenuse can be mapped our using the cosine
So, the cosine is the ratio between the adjacent and the hypotenuse
Hence, cos B = 24/25
Answer:
50
Step-by-step explanation:
when you plug in all the values for x, the only one that does not make the inequality true is 50.
You worded this weird, but each bag of sugar is 8 pounds...
Answer: the cost per unit of gas is $0.38
Step-by-step explanation:
Let x represent the cost per unit of electricity.
Let y represent the cost per unit of gas.
During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. It means that
600x + 100y = 344- - - - - - - - - -1
The next month, 400 units of electricity and 250 units of gas were used for a total cost of $299.
It means that
400x + 250y = 299- - - - - - - - - -1
Multiplying equation 1 by 400 and equation 2 by 600, it becomes
240000x + 40000y = 137600
240000x + 150000y = 179400
Subtracting, it becomes
- 110000y = - 41800
y = - 41800/- 110000
y = 0.38
Substituting y = 0.38 into equation 1, it becomes
600x + 100 × 0.38 = 344
600x + 38 = 344
600x = 344 - 38 = 306
x = 306/600
x = 0.51