Good morning ☕️
Answer:
<h3>i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰ =
0</h3>
Step-by-step explanation:
Consider the sum S = i¹ + i² + i³ +. . .+ i⁹⁹ + i¹⁰⁰
S = i¹ + i² + i³ + . . . + i⁹⁹ + i¹⁰⁰
S = a₁ + a₂ + a₃ +. . . + a₉₉ + a₁₀₀
then, S is the sum of 100 consecutive terms of a geometric sequence (an)
where the first term a1 = i¹ = i and the common ratio = i
FORMULA:______________________
_______________________________
then
or i¹⁰⁰ = (i⁴)²⁵ = 1²⁵ = 1 (we know that i⁴ = 1)
Hence
S = 0
0.5 or 6 inches
The model=32
Actual size=1
32/1= 16/?
If 32 is 1 foot which equals 12 inches, and 16 is half of 32, then 16 is 0.5 inches or 6 inches
Answer:
Length: 40 Width: 76
Step-by-step explanation:
W is width, and L is length.
We know that the length is 36 less than the width, so L = w - 36. Two times the width plus two times the length equals the perimeter, so set up the equation for the perimeter as:
232 = 2w + 2(w-36)
Now solve for w:
232 = 2w + 2w - 72
304 = 4w
w = 76
we now know that the width is 76, so solve for the length:
L= 76-36
L = 40
Answer:
22
Step-by-step explanation:
<h2>
—Math</h2>
√(x+3) –4 = 1
√(x+3) = 1 +4
√(x+3) = 5
x + 3 = 5²
x = 25 –3
x = 22
