Answer:
so puit your years in the fist colum it will look like this
Years Josiah Tillery
1 13 8
2 16 11
3 19 14
4 22 17
5 25 20
and i do believe it is proportional because they are even no matter what
Step-by-step explanation:
The answer is C
Hopes this helps
Answer:
The answer is given below
Step-by-step explanation:
The question is not complete. The correct question is:
A square based pyramid have a height of 30 cm and base of 10 cm. The The square based pyramid is cut horizontally at a height of 15cm to leave this frustum.
Answer:
The frustum would have a base of 10 cm and height of 15 cm. The lower base has a length of 10 cm. to calculate the upper base, we use the formula:
![\frac{height\ of\ frustum}{height\ of \ pyramid}=\frac{base \of\ upper\ edge}{base \of\ lower\ edge}](https://tex.z-dn.net/?f=%5Cfrac%7Bheight%5C%20of%5C%20frustum%7D%7Bheight%5C%20of%20%5C%20pyramid%7D%3D%5Cfrac%7Bbase%20%5Cof%5C%20upper%5C%20edge%7D%7Bbase%20%5Cof%5C%20lower%5C%20edge%7D)
Substituting:
![\frac{30}{15}=\frac{10}{b} \\ b=15*10/30=5](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B15%7D%3D%5Cfrac%7B10%7D%7Bb%7D%20%5C%5C%20b%3D15%2A10%2F30%3D5)
The volume of the frustum is given by the formula:
![V=\frac{h}{3}(A_1+A_2+\sqrt{A_1A_2} )](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bh%7D%7B3%7D%28A_1%2BA_2%2B%5Csqrt%7BA_1A_2%7D%20%29)
Where h is the height of the frustum = 15 cm, A1 is the area of the lower base = 10 * 10 = 100 cm², A1 is the area of the upper base = 5 * 5 = 25 cm²
Substituting gives:
![V=\frac{h}{3}(A_1+A_2+\sqrt{A_1A_2} )=\frac{15}{3}(100+25+\sqrt{100*25} )= 875\ cm^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bh%7D%7B3%7D%28A_1%2BA_2%2B%5Csqrt%7BA_1A_2%7D%20%29%3D%5Cfrac%7B15%7D%7B3%7D%28100%2B25%2B%5Csqrt%7B100%2A25%7D%20%29%3D%20875%5C%20cm%5E3)
Slope is cost per arrangement so 3+10d
0 arrangements cost 0 dollars so there is no y-intercept.
Thus we get C=(3+10d)x where x is the number of arrangements
9514 1404 393
Answer:
an = 12(-1/2)^(n-1)
Step-by-step explanation:
Your sequence has a common ratio of ...
r = -6/12 = 3/-6 = -1/2
The first term is 12.
The explicit formula for the general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1·r^(n-1)
Using the values for this sequence, the explicit formula you want is ...
an = 12·(-1/2)^(n -1)
__
This could be rearranged to be ...
an = -24·(-2)^(-n)