Answer:
5 people times $10=50
$50-$34.15=15.85
15.85 divided by 5 people. Equals $3.17
Answer:
3.17?
What can be said about the convergence or divergence of the following series? summation n=0 to infinite (-1)^n Cn9^n
Answer:
The series diverges
Step-by-step explanation:
Given.
The center of convergence of the series, ΣCnx^n = 0 (for n = 0 to ∞)
The interval of the convergence is of the form (-k,k)
One or both the end points may be included in the intervals of convergence.
Also, given that the series diverges when x = 7; this implies that the interval of convergence is smaller than {-7,7}
The series
Σ(-1)^n Cn9^n (for n = 0 to ∞)
= Σ Cn(-9)^n (for n = 0 to ∞)
This is obtained after substituting -9 for x in ΣCnx^n = 0
So, x = -9
This is outside the boundary {-7,7}.
Hence, the given series diverges
Answer:
7 15 178
Step-by-step explanation:
Answer:
0.48 cm
Step-by-step explanation:
Answer:
70°, 140°, 50°
Step-by-step explanation:
110° and the angle inside the triangle are adjacent angles and sum to 180°, so
angle inside triangle = 180° - 110° = 70°
The triangle on the left is isosceles ( 2 congruent sides ) then base angles are congruent
∠ 1 = angle inside triangle = 70°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 2 is an exterior angle of the triangle on the left, so
∠ 2 = 70° + 70° = 140°
∠ 2 is also an exterior angle of the triangle on the right, so
∠ 3 + 90° = 140° ( subtract 90° from both sides )
∠ 3 = 50°
