Answer:
160
Step-by-step explanation:
20x8=160
Answer:
1024
Step-by-step explanation:
you can plug 10 to the explicit formula. f(n)= a times r to the power of n minus 1. A is the first term, r is the common ratio and n is the nth term. 2 times 2 to the power of 10 minus 1. 2 times 2 to the power of 9 is 1024. Hope this helps!
Answer:
A). 101 inches
B). 110 years
Step-by-step explanation:
Years since planting Circumference Difference
1 3 -
2 5 (5 - 3) = 2
3 7 (7 - 5) = 2
4 9 (9 - 7) = 2
5 11 (11 - 9) = 2
6 13 (13 - 11) = 2
There is a difference of 2 in every successive term of the circumference.
Therefore, the given sequence is an arithmetic sequence.
Explicit formula of an arithmetic sequence is given by,
![A_n=a+(n-1)d](https://tex.z-dn.net/?f=A_n%3Da%2B%28n-1%29d)
Here a = first term
n = number of terms
d = common difference
From the given table,
![A_n=3+(n-1)2](https://tex.z-dn.net/?f=A_n%3D3%2B%28n-1%292)
![A_n=2n+1](https://tex.z-dn.net/?f=A_n%3D2n%2B1)
Here
= circumference after 'n' years
n = Age of the plant
By this formula,
Circumference of a tree after 50 years,
![A_{50}=2(50)+1](https://tex.z-dn.net/?f=A_%7B50%7D%3D2%2850%29%2B1)
= 101 inches
Age of tree with the circumference = 221 inches,
221 = 2n + 1
2n = 220
n = 110 years
Answer:
x=29
Step-by-step explanation:
We know for a fact that in a square:
- All of its angles have equal measure (90 degrees)
(e.g. Measure of Angle CAT, measure of Angle CST = 90 degrees)
Now that we know the facts, let's try to find x.
Now since we know that all the angles are equivalent to 90 degrees, we can say that Measurement of Angle SCA is 90 degrees. So:
![90=3x+3](https://tex.z-dn.net/?f=90%3D3x%2B3)
Next, we'll simply just isolate the x:
![90=3x+3\\90-3=3x+3-3\\87=3x\\\frac{87=3x}{3} \\29 = x](https://tex.z-dn.net/?f=90%3D3x%2B3%5C%5C90-3%3D3x%2B3-3%5C%5C87%3D3x%5C%5C%5Cfrac%7B87%3D3x%7D%7B3%7D%20%5C%5C29%20%3D%20x)
Answer:
86d+43f
Step-by-step explanation: