Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,...12,5,−2,−9,...12, comma, 5, comma, minus, 2, comma, minus,
Andrew [12]
Answer:
A(n) = 19 - 7n
Step-by-step explanation:
12, 5, -2, -9,...
First term, a = 12
Common difference, d = a2 - a1
a2 = 5
a1 = 12
Common difference, d = a2 - a1
= 5 - 12
= -7
d = -7
A(n) = a + (n - 1)d
A(n) = 12 + (n - 1) -7
= 12 + (-7n + 7)
= 12 - 7n + 7
= 12 + 7 - 7n
= 19 - 7n
A(n) = 19 - 7n
5^(x+7)=(1/625)^(2x-13)
We move all terms to the left:
5^(x+7)-((1/625)^(2x-13))=0
Domain of the equation: 625)^(2x-13))!=0
x∈R
We add all the numbers together, and all the variables
5^(x+7)-((+1/625)^(2x-13))=0
We multiply all the terms by the denominator
(5^(x+7))*625)^(2x+1-13))-((=0
We add all the numbers together, and all the variables
(5^(x+7))*625)^(2x-12))-((=0
We add all the numbers together, and all the variables
(5^(x+7))*625)^(2x=0
not sure if this is right :/
Answer:
Step-by-step explanation:
If the area of the square is 6400ft², it means that the length of each side of the square is √6400 = 80ft
It means that the opposite side of each triangle is 80ft. Since each triangle is a right angle triangle, we would find the length of the hypotenuse, L by applying Pythagorean theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
L² = 80² + 70²
L² = 11300
L = √11300
L = 106.3 ft
The total length of the gutter would be the sum of the sides of the square and the two triangles.
Total length = 106.3 + 106.3 + 70 + 70 + 80 + 80 = 512.6 ft
I good with D because i think it’s for Sure the right answer