Answer:
Step-by-step explanation:
∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹
This is a finite geometric series with n = 4, a₁ = -144, and r = ½.
S = a₁ (1 − rⁿ) / (1 − r)
S = -144 (1 − (½)⁴) / (1 − ½)
S = -270
If you wanted to find the infinite sum (n = ∞):
S = a₁ / (1 − r)
S = -144 / (1 − ½)
S = -288
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(1.5) decimal form (mixed number form= 1/2-1) hope this helps.
Answer: 68
Step-by-step explanation:
Answer:
127 degrees = x
Step-by-step explanation:
A six sided polygon has interior angles that sum to
(n-2)(180) = (6-2)(180 = 720
so all of the angles in the question add to 720
98 + 133 + x + x + 155 + 80 = 720
solve for x = 127 degrees
X and Y both represent the position on a graph. So, to find the X- or Y- intercepts, simply set the other value to zero. (After all, the x-intercept is when y is zero, and vice versa.)
So for X...
2/3x-1/3(0)=2
2/3x=2
/(2/3)
x=3
So the X-intercept is at (3,0).
Now, the y-intercept.
2/3(0)-1/3y=2
-1/3y=2
/(-1/3)
y=-6
So the Y-intercept is at (0,-6).